The perimeter of a triangle is 24inches. The longest side is 4 more than the middle side , and the smallest side is half the length of middle side. What are the lengths?

Answers

Answer 1

Answer:

Step-by-step explanation:

the length of the smallest side is 4 inches.

the length of the middle side is 8 inches.

the length of the longest side is 12 inches.

Step-by-step explanation:

Let x represent the length of the middle side of the triangle.

The longest side is 4 more than the middle side. It means that the length of the middle side is x + 4.

The smallest side is half the length of middle side. It means that the length of the smallest side is

x/2

The formula for determining the perimeter of a triangle is

Perimeter = a + b + c

Where a, b and c are the lengths of each side of the triangle. The perimeter of the triangle is 24 inches. It means that

x + 4 + x + x/2 = 24

Multiplying both sides of the equation by 2, it becomes

2x + 8 + 2x + x = 48

5x = 48 - 8

5x = 40

x = 40/5

x = 8 inches

The length of the longest side is

8 + 4 = 12 inches

The length of the smallest side is

8/2 = 4 inches


Related Questions

What steps should be taken to calculate the volume of the prism? Select three options.
A rectangular prism with a length of 9 and one-half feet, width of 24 feet, and height of 6 feet.
A) Use the formula A = one-half b h to find the area of the base.
B) Use the formula A = b h to find the area of the base.
C) Use the formula V = B h to find the volume of the prism.
D) The volume of the prism, V is (114) (6) = 684 feet cubed. The volume of the prism, V is (228) (6) = 1,368 feet cubed.

Answers

Answer:

B, C, E

B- Use the formula A = b h to find the area of the base.

C- Use the formula V = B h to find the volume of the prism.

E- The volume of the prism, V is (228) (6) = 1,368 feet cubed.

Step-by-step explanation:

Just did it on edge 2020 i hope it helps :)

A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet. The steps should be taken to calculate the volume of the prism; B, C, E.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet.

The steps should be taken to calculate the volume of the prism;

B- Use the formula A = b h to find the area of the base.

C- Use the formula V = B h to find the volume of the prism.

E- The volume of the prism,

    V = (228) (6)

       = 1,368 feet cubed.

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Meghan used her cell phone for 45 minutes each day for n days. Her
total minutes of cell phone usage was 540 minutes. Which equation expresses
how many days Meghan used her cell phone? *
O45 - n = 540
O 45 + n = 540
O 45 + n = 540
O 45n = 540

Answers

Hello,

This question is very easy. :) If she use phone everyday at 45 minutes, x days => 45x use.

Later x day, She use 540 minutes.

be 45x=540

x,

540/45 = 12

We see in the link:

https://brainly.com/question/16038184?answeringSource=feedPersonal%2FhomePage%2F7

Good lessons!

Final answer:

The correct equation that expresses how many days Meghan used her cell phone is 45n = 540. By dividing both sides by 45, we find that n = 12, indicating she used her cell phone for 12 days.

Explanation:

The question is asking to find the equation that represents the number of days Meghan used her cell phone, given that she used it for 45 minutes each day and the total usage was 540 minutes. To solve this, you would set up an equation where the number of days (n) times the daily usage (45 minutes) equals the total usage (540 minutes).

Therefore, the correct equation would be 45n = 540.

To find out how many days she used her cell phone, you would divide both sides of the equation by 45:

45n / 45 = 540 / 45

n = 12

This means Meghan used her cell phone for 12 days.

Which statement can be represented by the equation
x+9=97
A. Two-fifths of nine is a number.
B. Two-fifths of a number is nine.
C. Nine more than two-fifths of a number is nine.
D. A number plus nine is the same as two-fifths of nine.

Answers

Answer:

d ik

Step-by-step explanation:

Answer:

Nine more than two-fifths of a number is nine.

Step-by-step explanation:

that is the only one that makes sense.

Answer:

A) Yes, if the diagonals of a quadrilateral bisect each other then the quadrilateral is a
Parallelogram

B) Yes if both pairs of opposite sides of a quadrilateral are congruent

C) Yes, if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram

D) Not enough information is given

Answers

D. Not enough info

Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.

For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.

Answer:

D) Not enough information is given

Step-by-step explanation:

For it to be a parallelogram, MN and PQ should be equal in length.

Angles P and M should be equal

Angles N and Q should be equal.

But no such information is provided

Is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis a solution of -10x +4y \geq -4−10x+4y≥−4minus, 10, x, plus, 4, y, is greater than or equal to, minus, 4 ?

Answers

Answer:

yes

Step-by-step explanation:

i think so, im very sorry if its wrong

Answer:

Yes

Step-by-step explanation:

Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x + 4 y = negative 6?

Answers

Answer:

(- 2, 3 )

Step-by-step explanation:

Given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in y

14x - 4y = - 40 → (3)

Add (2) and (3) term by term to eliminate the term in y

23x = - 46 ( divide both sides by 23 )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (2)

9(- 2) + 4y = - 6

- 18 + 4y = - 6 ( add 18 to both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (- 2, 3 )

The required solution of the given simultaneous equation is x = -2 and y = 3.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Given equations,
7x - 2y = -20 - - - - - (1)

9x + 4y = -6 - - - - - (2)

Multiply equation 1 with 2 and add both equations,
14x - 4y  + 9x + 4y = -40 - 6
23x = -46
x = -2

Now,
7(-2) - 2y = -20
-2y = -6
y = 3

Thus, the required solution of the given simultaneous equation is x = -2 and y = 3.

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A car travels at a steady speed of 10 m/s what distance is covered in one minute

Answers

Answer:600

Step-by-step explanation:

There are 60 seconds in one minute so you would need to multiply 60 by 10

Final answer:

A car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.

Explanation:

The distance covered by a car moving at a steady speed can be calculated from the simple physics formula for speed: speed = distance/time. In this case, the speed of the car is given as 10 m/s, and the time is given as 1 minute. However, time needs to be in the same units as the speed, so we need to convert minutes to seconds. As one minute is equal to 60 seconds, we can use this conversion. Now, to solve for distance, we rearrange the equation to look like: distance = speed * time. Substituting the given speed and time, we get: distance = 10 m/s * 60 s = 600 m. Therefore, a car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.

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A city zoo builds an enclosure for birds in the shape of a cone with the dimensions shown. There are 42 birds contained in the enclosure.

A cone with a diameter of 16 feet and a height of 13 feet is shown.
What is the volume of the enclosure to the nearest whole number?

The volume is approximately ft3.

How can the density of birds in the enclosure be found?

Divide the .

What is the number of birds per cubic foot to the nearest hundredth?

The density is approximately birds per cubic foot.

Answers

Answer: 871 , number of birds by the volume of the cone, .05

Step-by-step explanation:

Answer:

871 ft cubed, number of birds by the volume of the cone, and 0.05 birds per cubic foot

A hiker travels 3 km due east then 2 km on a bearing of 110°. Find: a) how far south the hiker is from the starting point Hint: construct a right angle triangle b) how far east the hiker is from the starting point c) The bearing from the starting point to the finishing point

Answers

Answer:

A) 0.47 km

B) 4.88 km

C) 6.25°

Step-by-step explanation:

Please refer to the attached image for explanations

I WILL MARK U BRAINLIEST
Which statement is true about segment AB?

Answers

Answer:

First statement is correct

Step-by-step explanation:

Segment AB is tangent to the circle C because [tex] 3^2 +4^2 =5^2 [/tex]

Use the circle to answer the questions.

The diameter is___ cm?
The circumference in terms of pie is ___pie cm.

Using 3.14 for pie, the approximate circumference of the circle is___cm?

Answers

Answer:

10.8; 10.8; 33.912

Step-by-step explanation:

Diameter = 2 × 5.4

10.8 cm

Circumference = pi × d

10.8pi cm

10.8 × 3.14

33.912

Answer:

The diameter is 14 mm the circumference in terms of Pi is

14 and the last question answer is 44.0 mm

Step-by-step explanation:

There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market what was the average number of roasted turkeys owned by each of the three shops?

Answers

Answer:

Step-by-step explanation:

Roasted turkey in Ally's Eats = 75

Roasted turkey in Bob's goods  = 4 / 5 x  Ally's Eats

= (4 / 5) x 75

= 60

Roasted turkey in Charlotte's Market = N ( let )

Given

5/6  N  = 75

N = 6 / 5 x 75

= 90

Roasted turkey in Charlotte's Market  = 90 .

Final answer:

To find the average number of roasted turkeys owned by each of the three shops, add up the number of turkeys owned by all three shops and divide by the number of shops. In this case, the average is 75 turkeys.

Explanation:

To find the average number of roasted turkeys owned by each of the three shops, we need to calculate the total number of roasted turkeys owned by all three shops and then divide it by the number of shops.

First, we find the number of roasted turkeys owned by Bob's Goods, which is 4/5 * 75 = 60 turkeys.

Next, we find the number of roasted turkeys owned by Charlotte's Market, which is 75 / 5/6 = 90 turkeys.

Finally, we add up the number of turkeys owned by all three shops: 75 + 60 + 90 = 225 turkeys.

To find the average, we divide the total number of turkeys by the number of shops: 225 turkeys / 3 shops = 75 turkeys.

Therefore, the average number of roasted turkeys owned by each of the three shops is 75 turkeys.

If f(x) = -x^2 – 1, and
g(x) = x + 5, then
g(f (x)) = -x^2+[ ?]x + [ ?]

Answers

By substituting the expression for f(x) into g(x), g(f(x)) simplifies to -x^2 + 4. The coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

To find g(f(x)), substitute the expression for f(x) into g(x):

g(f(x)) = g(-x^2 - 1)

Now, replace x in g(x) with -x^2 - 1:

g(f(x)) = (-x^2 - 1) + 5

Combine like terms:

g(f(x)) = -x^2 + 4

So, the given expression g(f(x)) = -x^2 + 4. The coefficient of x^2 remains -1 from f(x), and the constant term changes from -1 to +4 after adding 5 in the expression g(x).

Here g(f(x)) simplifies to -x^2 + 4, where the coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

Solve the inequality and graph the solution g-3>6

Answers

Answer: It should be g > 9

Step-by-step explanation:

-Solve:

[tex]g-3>6[/tex]

[tex]g-3+3>6+3[/tex]

[tex]g>9[/tex]

So, Therefore, the result is g > 9

The solution to the inequality is g > 9.

Here, we have,

To solve the inequality g - 3 > 6, we will isolate the variable g.

Adding 3 to both sides of the inequality, we get:

g - 3 + 3 > 6 + 3

Simplifying, we have:

g > 9

So, the solution to the inequality is g > 9.

To graph the solution on a number line, we represent all values of g that are greater than 9. We can denote this by shading the region to the right of 9 on the number line.

Here's a graphical representation:

    ------------------------>

    -8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 ...

                o

                |

                |

                |

In this representation, the open circle (o) indicates that 9 itself is not included in the solution since the inequality is strict (g > 9). The shaded region represents all values of g that are greater than 9.

Please note that the number line extends indefinitely in both directions, but only the relevant portion is shown here for clarity.

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Two hoses of different sizes are used to fill a pool. The smaller hose can fill the pool in 1.5 times as long as the larger hose. If both hoses
are used it takes 9 hours to fill the pool. If only the larger hose is used, how many hours will it take to fill the pool?

Answers

Answer:

  15

Step-by-step explanation:

Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.

The two hoses together contribute a volume of 1/9 of the pool volume each hour:

  1/x +1/(1.5x) = 1/9

  2.5/(1.5x) = 1/9 . . . . combine the fractions

  22.5/1.5 = x . . . . . . multiply by 9x

  15 = x

It takes the larger hose 15 hours to fill the pool alone.

two trains leave the station at the same time, one heading west and the other east. the westbound train travels at 80 miles per hour. the eastbound train travels at 60 miles per hour. how long will it take for the two trains to be 392 miles apart? do not do any rounding.​

Answers

Answer:

let this happens after t hours

so

80t + 60t = 392

140 t = 392

t = 392/140

=2.8 hours

Answer:

ok the train goes 60+80=140 in 1 hour

140+140=280 2 hours

392-280=112

112/ the 60 miles and 80 miles is .80% of the hour so

60*.80=48 and 80*.80=64

48+64=112 so the trains will be 392 miles apart in 2.8 hours

Step-by-step explanation:

Can someone please help me!!!! I’ll mark you brainiest if the answer is correct

Answers

Answer:

A is 210

B is volume

C is surface area

Answer: volume:390 ft cubed         surface area: 307 ft

volume then surface area

Step-by-step explanation: i did it already on ALEKS

Jim needs to spend less than $450 a month on groceries and shopping. He has already spent $215 this month. What are all possible amounts of money Jim could spend the next time that he buys groceries or goes shopping this month? Create an inequality and a graph that represents this scenario

Answers

Answer:

200 to 234$ depending on how much less than 450

Step-by-step explanation:

450-215=235

URGENT!!! for the given situation identify the independent and D pendant variable‘s and then find a reasonable domain and range of values listed below will be for statements that relate to the given situation. She’s is the statement that would have to be FALSE given the situation and it’s parameters
Roger has $12 to spend. He wants to buy some apples that cost $.60 apiece.
here are the statements
1) The dependent variable is how many apples he will buy
2) The range will be 0 to 20 apples
3) The domain will be any amount of money less than $12
4) The independent variable is how much money he will spend

Answers

Answer:

3

Step-by-step explanation:

in order to be correct, it would have to be "any amount of money less than or equal to $12" because if it were less then, that makes the maximum amount he can spend $11.99.

If you buy a necklace for $400 on your credit card, which charges 21.3% simple
interest, how much interest will be added after 15 months?
$85.20
$266.25
$100.00
$106.50
Previous par

Answers

Answer:

106.50

Step-by-step explanation:

just did it

Final answer:

To calculate the simple interest on a $400 necklace purchase with a 21.3% interest rate after 15 months, use the simple interest formula I = PRT, resulting in an interest of $106.50.

Explanation:

To calculate the simple interest added to a $400 necklace purchase with a credit card charging 21.3% simple interest after 15 months, you can use the formula for simple interest: I = PRT, where I is the interest, P is the principal amount (initial loan balance), R is the rate of interest per year, and T is the time in years. In this question, P = $400, R = 21.3% or 0.213, and T = 15/12 years (to convert months to years).

First, convert the interest rate to a decimal by dividing by 100:

R = 21.3% \/ 100 = 0.213

Next, convert the time from months to years:

T = 15 months \/ 12 = 1.25 years

Finally, calculate the simple interest:

I = P times R times T

I = $400 times 0.213 times 1.25

I = $106.50

Therefore, the interest added after 15 months would be $106.50.

Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.

A = One-half b h = one-half (7 and two-fifths) (2) = one-half (StartFraction 35 Over 5 EndFraction) (StartFraction 2 Over 1 EndFraction) = StartFraction 70 Over 10 EndFraction = 7 meters squared

What errors did the student make? Select all that apply.
She used the incorrect area formula.
She substitute the values for the base and height incorrectly.
She converted the mixed number to an improper fraction incorrectly.
She multiplied incorrectly.
She simplified the fraction StartFraction 70 Over 10 EndFraction incorrectly.

Answers

Answer:

A and C

Step-by-step explanation:

i got it right on edge

Answer:A and CStep-by-step explanation:

Which do the following most specifically describes a rhombus?? A.a plane figure that is a polygon. B.a quadrilateral with 2 pairs of equal length. D. A polygon with four sides

Answers

Answer:

B. A quadrilateral with 2 pairs of equal length

Step-by-step explanation:

analyzing the options:

A. A polygon is a very general definition (polygon is a figure with 3 or more sides) so it does not specifically describe a rhombus.B. This option is much more specific to a rhombus than the other two options because it mentions that it is a quadrilateral so it reduces the generality of calling it a polygon, and it also mentions that there are 2 pairs of equal sides which is true for the rhombus (the top and bottom sides are equal, and the sides are also equal). So this option is correct.C. It is a little more specific than option A because it mentions that you must have 4 sides, but it is not as specific for the rhombus as option B

Answer:

B.a quadrilateral with 2 pairs of equal length

Step-by-step explanation:

A rhombus is a quadrilateral with 4 equal sides in length. A quadrilateral is a closed figure or shape with 4 sides . Other quadrilaterals are parallelograms, square and rectangle .

Opposite sides of a rhombus are parallel and opposite angles are equal. The diagonals meet at the center to form a right angle. The best description of a rhombus among the option is that it is a quadrilateral with 2 pairs of equal length.  

Note polygon is too broad to be used to describe a rhombus .Moreover rhombus is not a regular polygon since all the angles are not equal.  

A restaurant manager collected less than $196 in tips one evening. If he splits the tip money among 7 employees, which inequality could be used to find how much each employee received?

Answers

Answer: 196 less than or equal to 7

Step-by-step explanation:

Which figure shows a line tangent to the circle?

A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 6 is drawn from that point to a point outside of the circle. Another line with length 9 is drawn from that point to the middle point to form a triangle.

A circle is shown. A line with length 5 is drawn from the middle point to a point on the circle. A line with length 5 is drawn from that point to a point outside of the circle. Another line with length 10 is drawn from that point to the middle point to form a triangle.

A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 4 is drawn from that point to a point outside of the circle. Another line with length 5 is drawn from that point to the middle point to form a triangle.

Answers

Answer:

Option C : the midpoint of the segment

Step-by-step explanation:

1.Draw a Circle of any radius.

2.Take a point outside on the circle.

3.Draw a line segment Joining center to the point lying outside.

4.Draw the perpendicular bisector of that line segment.

5.Keep one end of the compass on the midpoint of the line segment, and other end of the compass on the center or other end of line segment,and draw a circle.

6.The points where this circle,cuts the circle drawn in the beginning,are the points,from where you can draw tangents which will intersect at the point which lies outside that we have taken in the beginning.

Option C : the midpoint of the segment

Answer:

third one

Step-by-step explanation:

HELP PLEASE! i'm struggling a lot!

Answers

Answer:

she will buy 11 pounds of candy

She will by 11 pounds of candy. Hope this helps :)

Determine the probability of the event, given the following information. Express as a reduced fraction.

A drawer contains 30 pens of various colors: 4 are black, 10 are blue, 3 are red, 6 are green, 6 are blue and red, and 1 is white

A green pen is removed from the drawer and replaced before a black pen is removed.

Answers

Answer:

2/75

Step-by-step explanation:

6 of the 30 pens are green, so the probability of selecting a green pen is 6/30 = 1/5.

The pen is then replaced, so there are still 30 pens in the drawer.  4 of the pens are black, so the probability of selecting a black pen is 4/30 = 2/15.

The probability of both events is therefore 1/5 × 2/15 = 2/75.


Which values complete the function?

f(x) = (x – )(x + )

Answers

Answer:

You need to add the Y  to the equation to make it complete.

Answer:

f(x) =-1 (x –3 )(x +4 )

Step-by-step explanation:

bc yes

Question 12: Please help. Line segment BA⎯⎯⎯⎯⎯⎯⎯ has endpoints B(−6,3) and A(−1,8).
What are the coordinates of the point located 15 of the way from B to A?

Answers

Answer:

The answer is (-5,4).

When Cam’s baby brother started drinking this bottle held 270 millimeters of milk how much did the baby drink

Answers

The baby drank 150 mL of milk.

please please helpp i will mark brainliest!!! 100 points !! ill mark brainliest if its correct.

Answers

Answers and Step-by-step explanations:

1. We need to plug in values of x into the functions f(x) and g(x):

f(2) = 2.5 * 2 - 10.5 = -5.5                         g(2) = [tex]64 * (0.5^2)[/tex] = 16

f(3) = 2.5 * 3 - 10.5 = -3                            g(3) = [tex]64 * (0.5^3)[/tex] = 8

f(4) = 2.5 * 4 - 10.5 = -0.5                         g(4) = [tex]64 * (0.5^4)[/tex] = 4

f(5) = 2.5 * 5 - 10.5 = 2                             g(5) = [tex]64 * (0.5^5)[/tex] = 2

f(6) = 2.5 * 6 - 10.5 = 4.5                          g(6) = [tex]64 * (0.5^6)[/tex] = 1

2.

(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.

(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.

3.

(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).

(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.

(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.

Answer:

Page 1:

f(2) = -5.5

f(3) = -3

f(4) = -0.5

f(5) = 2

f(6) = 4.5

Notice the values are increasing by 2.5

g(2) = 16

g(3) = 8

g(4) = 4

g(5) = 2

g(6) = 1

Notice the values are getting divide by half

Page 2:

A:

At 14 years, the revenue for online ads are a little over 4 million dollars. However, for printed ads, the revenue is only about 1.5 million dollars.  If you double 1.5 million, you will only get 3 million. That is less than 4 million. So, the lead marketing executive was correct.

B:

The approximate year that the two revenues were equal was approximately 7 and a half (or 7.5).

Page 3:

A:

For the Western Beach, the width is decreasing by exactly 2 feet per year. For the Dunes Beach, the width is increasing by exactly 5 feet per year.

B:

The beaches will have the same width somewhere between years 11 and 12.

C:

A good way to get an even better approximation on when these beaches will have the same width, is to write them in slope-intercept form. The Western Beach equation will look like f(x) = -2x + 100 and the Dunes Beach equation will look like g(x) = 5x + 20.

Other Questions
Sunland Company incurs the following costs to produce 11400 units of a subcomponent: Direct materials $9576 Direct labor 12882 Variable overhead 14364 Fixed overhead 16200 An outside supplier has offered to sell Sunland the subcomponent for $2.85 a unit. If Sunland accepts the offer, by how much will net income increase (decrease)? Dylan wanted to find the average number of hours per day that the students in his class practiced their instruments. He chose three students by drawing their names from a hat. What should he do to ensure that he has an accurate average for the class?A dot plot going from 0 to 4. There is 1 dot above 0, 1 dot above 0.5, and 1 dot above 4.He should add the three numbers and divide by 3 because that is how one finds an average.He should poll more students to eliminate the variability caused by a sample size that is too small.He should take the middle number as his average since he has three observations.He should just find the average of 0.5 and 4 since 0 does not change anything when adding. Did the Election of 1860 lead to the Civil War? If you call the police to your home to report a break-in, and while taking the report the officer notices a marijuana plant growing on your kitchen windowsill, what category of searches without warrants would the seizure of the pot plant by the police fall under? Esta actriz ahora ___ los derechos de los animales "These sprays, dusts, and aerosols are now applied almost universally to farms, gardens, forests, and homes-nonselectivechemicals that have the power to kill every insect, the good and the 'bad," to still the song of birds and the leaping of fish inthe streams, to coat the leaves with a deadly film, and to linger on in the soil-all this though the intended target may be only afew weeds or insects. Can anyone believe it is possible to lay down such a barrage of poisons on the surface of the earth withoutmaking it unfit for all life?"- excerpt from Silent Spring, Rachel Carson (1962)Using the excerpt, the book Silent Spring lead tothe establishment of conservation movement.Eliminatethe creation of wastewater treatment centers.a ban of the production of CFCs (Chlorofluorocarbons).D)a ban of the use of DDT's (Dichlorodiphenyltrichloroethane) on farms. The thyroid, adrenal glands, ovaries, pineal gland, and testes are all controlled bythe human growth hormone.the somatotropin hormone.the pituitary gland.the thalamus. Jason has four dollars more than Robert while Nancy has triple Roberts money how much do they each have is some of their money totals to $67 Which function represents the following graph?On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).y = StartRoot x minus 3 EndRoot + 3y = StartRoot x + 3 EndRoot + 3y = RootIndex 3 StartRoot x minus 3 EndRoot + 3y = RootIndex 3 StartRoot x + 3 EndRoot + 3 Periodic Inventory by Three Methods The beginning inventory for Dunne Co. and data on purchases and sales for a three-month period are as follows: Date Transaction Number of Units Per Unit Total Apr. 3 Inventory 25 $1,200 $30,000 8 Purchase 75 1,240 93,000 11 Sale 40 2,000 80,000 30 Sale 30 2,000 60,000 May 8 Purchase 60 1,260 75,600 10 Sale 50 2,000 100,000 19 Sale 20 2,000 40,000 28 Purchase 80 1,260 100,800 June 5 Sale 40 2,250 90,000 16 Sale 25 2,250 56,250 21 Purchase 35 1,264 44,240 28 Sale 44 2,250 99,000 Required: 1. Determine the inventory on June 30 and the cost of goods sold for the three-month period, using the first-in, first-out method and the periodic inventory system. Cory sold 6 baseball cards to a collector for a total of $90. He sold each card for the same price. What is the unit rate of Corys baseball cards? 2. In what ways did their viewpoints on electricity differ? Arabs were fierce fighters, promised paradise if killed in battle Which expression matches: 7 less than the product of 4 and 57- (4 + 5)7- 4(5)4(5) -7(4 + 5) -7 Read the passage from Like the Sun.Truth, Sekhar reflected, is like the sun. I suppose no human being can ever look it straight in the face without blinking or being dazed.What is the implied meaning of Sekhars observation?Like the Suna. People must protect themselves from the harm that the truth can bring.b. People benefit from hearing and accepting the truth.c. People have great difficulty hearing and accepting the truth.d. People welcome opportunities to uncover the truth. Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawing? What changes do you need to a algorithm to compare 100 numberst The number of minutes Sadie spends on homework, playing outside, and practicingpiano are known. How much more time Sadie spends on homework, h, is unknown.90 = (20 + 15) +h A new pair of basketball shoes costs $98.00 at the sporting goods store. If there is a 10% sales tax, what is the actual cost of the shoes?$ Sherman Peabody earns a monthly salary of $1,500, which he receives at the beginning of each month. He spends the entire amount each month at the rate of $50 per day. (Assume 30 days in a month.) The interest rate paid on bonds is 6 percent per month. It costs $4 every time Peabody sells a bond. The optimal average level of money holdings is the amount that _________.