Answer:
Area= (3x+4)×(x+3)
Step-by-step explanation:
(3x^2+10x+12)feet
Answer:
3x² + 13x + 12 ft²
Step-by-step explanation:
To work out the area of a rectangle you have to multiply the length and width together. In this case the length is 3x + 4 and the width is x + 3
So
( 3x + 4 ) × ( x + 3 )
Remember FOIL when expanding brackets
F = First two so 3x × x = 3x²
O = Outer two so 3x × 3 = 9x
I = Inner two so 4 × x = 4x
L = Last two so 4 × 3 = 12
but we aren't finished
3x² + 9x + 4x + 12 = 3x² + 13x + 12
Don't forget unit! ft²
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
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.
HELP PLEASE! i'm struggling a lot!
Answer:
she will buy 11 pounds of candy
A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner
Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
The distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.
To find the distance from one corner of the football field to the other corner (the diagonal), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the width of the football field is one side of the right triangle, the length of the football field is the other side, and the diagonal (the distance we want to find) is the hypotenuse.
According to the Pythagorean theorem:
[tex]\[ d^2 = w^2 + l^2 \][/tex]
[tex]\[ d^2 = 80^2 + 110^2 \][/tex]
[tex]\[ d^2 = 18500 \][/tex]
To find d, we take the square root of both sides:
[tex]\[ d = \sqrt{18500} \][/tex]
[tex]\[ d \approx 136.08 \][/tex]
Therefore, the distance from one corner of the football field to the other corner (the diagonal) is approximately 136.08 meters.
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 2:3?
Answer: it’s either -5 or 5 I just took the test
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
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
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.
Find the volume of a right circular cone that has a height of 12.7 cm and a base with a diameter of 18.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1187.7
Step-by-step explanation:
V = (1/3)πr2h
Volume = 1187.67 cm³.
What is cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has measured value of radius. And the length of the cone from apex to any point on the circumference of the base is the slant height.
Given,
Height of the cone (h) = 12.7cm
Diameter of the circular base(d) = 18.9cm
Radius (r) = d/2 = 18.9/2 = 9.45cm
Volume of the cone
V = 1/3πr²h
V = 1/3×3.14159×9.45×9.45×12.7
V = 1187.66946
V = 1187.67 cm³
Hence the volume of the cone is 1187.67 cm³.
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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.
Answer:
A and C
Step-by-step explanation:
i got it right on edge
Answer:A and CStep-by-step explanation:
A long-distance company charges a $5 per month line fee plus $0.25 per minute for long distance phone calls. Write and solve an equation to determine how many minutes someone spent on long distance calls if their bill is $26.
Answer:
84 minutes (1 hr and 24 mins)
Step-by-step explanation:
If the bill is $26, then that is what the equation will be equal to.$5 fee will be added$0.25 is 'per minute' so this is the number with the [tex]x[/tex]Let's put it together:
26 = 5 + .25[tex]x[/tex]
Subtract the 5...
21 = .25[tex]x[/tex]
Divide...
[tex]\frac{21}{.25} = 84[/tex]
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.
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
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.
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.
Each of 5 gift bags contains X pencils.Tyler add 3 more pencil to each bag.together the gift pack contain 20 pencils.
Answer:
4.6
Step-by-step explanation:
5x +3 = 20
5x = 23
x = 4.6
There was only one pencil in each of the 5 gift bags.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that each of 5 gift bags contains {X} pencils. Tyler add 3 more pencil to each bag. Together the gift pack contain 20 pencils.
We can write the equation as -
5x + 3(5) = 20
5x + 15 = 20
5x = 5
x = 1
Therefore, there was only one pencil in each of the 5 gift bags.
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Identify the 4 basic transformation
Answer:
Rotation, Reflection, dilation, and translation
Step-by-step explanation:
Rotation: Just rotating the shape; spinning the shape around a point
Reflection: Your shape is either reflecting on the x axis or y axis meaning it is either side by side (y) or up and down (x)
Dilation: Your shape is either going to shrink or get bigger
Translation: Shifting all the points of the figure
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.
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:
please please helpp i will mark brainliest!!! 100 points !! ill mark brainliest if its correct.
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.
The radius of a circle is 5 m. Find its area to the nearest tenth.
The area would be 78.54
Step-by-step explanation:
Here's why:
By using the area of a circle formula, you should plug in the radius and get the following of:
π5^2 = 78.539...
If you round to the nearest tenth you would get the answer of 78.54.
You bought a video game for
$50, but it loses 25% of its value
every six months. How much
will the video game be worth
after two years?
Answer: $0
Step-by-step explanation:
every six months means the game loses 25%*2 per year = 50%
2 years would be 50%*2 = 100%
Therefore, if the game loses 100% of its value in 2 years, it will be free.
I need help with answering this question
Jim needs to spend less than $450 a month on groceries and shopping. He has already spent $215 this month. What are all possible amounts of money Jim could spend the next time that he buys groceries or goes shopping this month? Create an inequality and a graph that represents this scenario
Answer:
200 to 234$ depending on how much less than 450
Step-by-step explanation:
450-215=235
Solve the inequality and graph the solution g-3>6
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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Can someone please help me!!!! I’ll mark you brainiest if the answer is correct
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
Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle.
What is the measure of circumscribed ∠X?
A 45
B 50
C 90
D 95
Answer:
the answer is 90 i just took the test
Step-by-step explanation:
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?
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:
jazzy...if u are there.....say something...testing testing.....A box contains different-colored marbles that are all the same size. The table below shows the colors and amount of each marble in the box:
Color of Marble Number
Red4
Blue8
Green3
Pink5
Allen selects a marble from the box randomly, without looking, and then tosses a fair coin. What is the probability that Allen will select a red marble and the coin will land heads up?
Answer:
i think that is because, that if u order them it is going to be 3,4,5,8
and probably he has a chance of 5 or 4
Step-by-step explanation:
The probability that Allen will select a red marble and the coin will land heads up is 1/10.
To find the probability that Allen will select a red marble and the coin will land heads up, we need to consider two independent events: selecting a red marble and tossing a fair coin.
The probability of selecting a red marble is the number of red marbles (4) divided by the total number of marbles in the box (4 + 8 + 3 + 5 = 20):
Probability of selecting a red marble = 4/20 = 1/5.
The probability of the coin landing heads up is 1/2 since it's a fair coin.
Now, to find the probability of both events occurring together (selecting a red marble and getting heads up), we multiply the probabilities of each event:
Probability of selecting a red marble and getting heads up = (1/5) * (1/2) = 1/10.
So, the probability that Allen will select a red marble and the coin will land heads up is 1/10.
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what is an equation of the line that passes through the points (-8,-4) and (-6,-5)?
Answer:
y=-2x-20
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1)
m=(-5+4)/(-6+8)
m=-1/2
y=-1/2x+b
-4=-1/2(-8)+b
-4=4+b
-8=b
y=-1/2x-8
Hope this helped! Please mark brainliest :)
How much fencing is required to enclose a circular garden whose diameter is 287m?
Answer:
Step-by-step explanation:
Enclosing something with fencing is a perimeter thing. Since we are dealing with a circle, we need the circumference instead, which is the same thing, different formula.
[tex]C=\pi d[/tex]
Filling in with the diameter of 287 m:
[tex]C=\pi (287)[/tex] or you could just say that the circumference is
287π. If you have to multiply in π, then the circumference is
901.18 m
Answer:
The answer to your question is 901.2 m
Step-by-step explanation:
Data
Perimeter = ?
diameter = 287 m
Process
1.- Calculate the radius of the garden
radius = diameter/2
-Substitution
radius = 287/2
-Result
radius = 143.5 m
2.- Calculate the perimeter
Perimeter = 2πr
-Substitution
Perimeter = 2(3.14)(143.5)
-Simplification and result
Perimeter = 901.18 ≈ 901.2 m
When Cam’s baby brother started drinking this bottle held 270 millimeters of milk how much did the baby drink
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.
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.
King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring 35 m by 40 m.
Answer:
okay so,
so do a 16 by 14 rectangle it should be good
sry if its wrong i tried but i hope it helped ;0
The problem is regarding the calculation of the area of a rectangle, which in this case is a floor plan of a mausoleum. The area is calculated by multiplying the length and the width of the rectangle, yielding an area of 1400 square meters.
Explanation:The problem provided is a concept of geometry and the specific topic is calculating the area of a rectangle. The area of a rectangle is calculated by multiplying its length and width. In the given problem, the length of the rectangle is 40 m and the width is 35 m.
To find the area, we perform the multiplication: Area = length x width = 40 m x 35 m = 1400 m². Therefore, the floor area of King Kyle's mausoleum, according to the architect's drawings, is 1400 square meters.
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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?
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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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?
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 .
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.