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docker41 [41]
3 years ago
15

A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet. Write a simplified expression for the volume (

in cubic feet) of the room.
Volume = ft3
Mathematics
2 answers:
34kurt3 years ago
6 0

Answer: Volume =180x\ ft^3

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

V=length\times width \times height

Given : A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet.

Then, the volume of a rectangular prism will be :-

V=15\times x\times12\\\\\Rightarrow\ V=15\times12\times x\\\\\Rightarrow\ V= 180x

Hence, the simplified expression for the volume (in cubic feet) of the room will be : 180x\ ft^3

zloy xaker [14]3 years ago
5 0
180x feet^3

this is the answer because volume is lwh so 15 x 12 x x is 180x the labeled is 180x ft.^3
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PLEASE HELP!!!!!
Zielflug [23.3K]
Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.



Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}

Let's plug this into this form first:
y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55

Now, let's make it into Standard Form.
y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
\boxed{f(x) = 85x + 55}

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
5 0
3 years ago
At the first meeting of the Tennis Club, the 7 members decided to have a tournament in which every player will play a match agai
mariarad [96]

Answer:

21 matches

Step-by-step explanation:

This is a combination problem where we have to select two member out of 7 members

 

So we want calculation of  7C2

 

   7C2 = 7!/[(2!)(7-2)!]

   (7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]

   (7*6)/2    ~  Note everything that easily cancels here!

   42/2

   21 matches

5 0
3 years ago
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
alexandr402 [8]
8x-4 and 4(2x-1)




4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4
4 0
2 years ago
Find x<br> a) 21 √2<br> b)7<br> c)21 √2/2<br> d)21 √3/2
fgiga [73]

Answer:

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos45° = \frac{1}{\sqrt{2} } , thus

sin60° = \frac{opposite}{hypotenuse} = \frac{opp}{7\sqrt{3} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp = \frac{21}{2}

Now consider the right triangle on the right, using the cosine ratio

cos45° = \frac{adjacent}{hypotenuse} = \frac{\frac{21}{2} }{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = \frac{21}{2} × \sqrt{2} = \frac{21\sqrt{2} }{2} → C

5 0
3 years ago
To make two batches of nut bars jayda needs to use 4eggs. How many eggs are used in each batch of nut bars?
zloy xaker [14]
2 eggs
4÷2=2
happy to help
4 0
2 years ago
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