The width of the aquarium is 0.1625 ft.
Step-by-step explanation:
Given,
The length (l) of the aquarium = 2 ft
Height (h) = 1.5 ft
The capacity of water it holds = 3.75 gallons
That means the volume (V) = 3.75 gallon
To find the width(b) of the aquarium.
Formula
The volume of a cuboid with l as length, b as width and h as height = lbh1 gallon = 0.13 cube ftSo,
V = 3.75×0.13 cube ft
According to the problem,
2×1.5×b = 3.75×0.13
or, b = (3.75×0.13)÷(2×1.5)
or, b = 0.1625 ft
Hence,
The width of the aquarium is 0.1625 ft.
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
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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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.
Which values complete the function?
f(x) = (x – )(x + )
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
I WILL MARK U BRAINLIEST
Which statement is true about segment AB?
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]
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?
Answer: 196 less than or equal to 7
Step-by-step explanation:
A car travels at a steady speed of 10 m/s what distance is covered in one minute
Answer:600
Step-by-step explanation:
There are 60 seconds in one minute so you would need to multiply 60 by 10
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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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:
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 ?
Answer:
yes
Step-by-step explanation:
i think so, im very sorry if its wrong
Answer:
Yes
Step-by-step explanation:
the shape of the cylinder
= 1131.0 cm
Which cylinder has the greatest volume?
O a cylinder with a height of 9 cm and a radius of 9
cm
a cylinder with a height of 12 cm and a radius of 6
cm
a cylinder with a height of 6 cm and a radius of 12
cm
a cylinder with a height of 15 cm and a radius of 3
cm
60 cm
HELP PLEASE! i'm struggling a lot!
Answer:
she will buy 11 pounds of candy
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:
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
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
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
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.
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:
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.
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
Answer:
A) 0.47 km
B) 4.88 km
C) 6.25°
Step-by-step explanation:
Please refer to the attached image for explanations
When Cam’s baby brother started drinking this bottle held 270 millimeters of milk how much did the baby drink
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
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
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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.
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.
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
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?
Answer:
The answer is (-5,4).
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.
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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A sphere has a diameter of 10 ft. What is the surface area
Answer:
314.15926 square feet
Step-by-step explanation:
Formula for sphere surface area = 4*π r^2
radius = (1/2)*diameter = (1/2)* 10 feet = 5 feet
Area = 4* π*(5)^2 = 100π = 314.15926 square feet
Final answer:
The surface area of a sphere with a diameter of 10 ft is 100π square feet, or approximately 314.16 square feet.
Explanation:
The surface area of a sphere can be calculated using the formula 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 10 ft, the radius is half of that, which is 5 ft. Plugging the radius into the formula, we get the surface area as 4π(5 ft)² = 4π x 25 ft² = 100π ft². Therefore, the surface area of the sphere with a diameter of 10 ft is 100π square feet, which is approximately 314.16 square feet when π is approximated to 3.1416.
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.
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
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 BAnswer:
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.
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:
If f(x) = -x^2 – 1, and
g(x) = x + 5, then
g(f (x)) = -x^2+[ ?]x + [ ?]
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).
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.
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?
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.