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Vadim26 [7]
3 years ago
13

A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet,and a height of 1 1/2 feet. Unit cubes with side lengths

of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism
Mathematics
1 answer:
Illusion [34]3 years ago
7 0
The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.

Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
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Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10
jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

y =  - x + 5

y =  \frac{1}{4}x + 10

Let us equate both equations and solve for x.

- x + 5 =  \frac{1}{4}x + 10

- 4x + 20 = x + 40

20 - 40 =x + 4x

- 20 = 5x

x =  - 4

y =  -  - 4 + 5 = 9

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0
3 years ago
Given The following Graph:<br><br> a.)Evaluate f(0). <br> b.) Solve for f(x) = -3
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

a

f(0) means find the value of y when x = 0

That is f(0) = 1 ← the point (0, 1) on the graph

b

When f(x) = - 3 means what are the values of x corresponding to y = - 3

From the graph when y = - 3 there are 2 corresponding values of x, that is

x = - 2 or x = + 2

The solution to f(x) = - 3 is x = ± 2

3 0
3 years ago
Solve the inequality. T/4 &gt; 7
Digiron [165]

Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

3 0
2 years ago
Find the circumference of a circle with a diameter of 9 in.
Arturiano [62]

Answer:

28.27 inches

Step-by-step explanation:

circumference of a circle = πd

9π = 28.27

8 0
2 years ago
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33​
liubo4ka [24]

Hey there!

(6^3 * 2^6) / 2^3

= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2

= (36 * 6 * 4 * 4 * 4) / 4 * 2

= (216 * 16 * 4) / 8
= 3,456 * 4 / 8

= 13,824 / 8

= 1,728


Looking for something that gives you the result of: 1,728


Option A.
12^3

= 12 * 12 * 12

= 144 * 12

= 1,728

Option A. is. possible answer


Option B.
6^3

= 6 * 6 * 6

= 36 * 6

= 216

216 ≠ 1,728

Option B. is incorrect


Option C.
12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

2,985,984 ≠ 1,728

Option C. is also incorrect


Option D.
2^6 * 2^3

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4 * 4 * 2

= 16 * 16 * 2

= 256 * 2

= 512
512 ≠ 1,728

Option D. is also incorrect

Option E.
2^3 * 3^3

= 2 * 2 * 2 * 3 * 3 * 3

= 4 * 2 * 9 * 3

= 8 * 27

= 216

216 ≠ 1,728

Option E. is also incorrect.


Therefore, the answer should be:

Option A. 12^3



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

3 0
2 years ago
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