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2 years ago

What is the correct answer NEED ANSWER ASAP

Mathematics

1 answer:

Llana [10]2 years ago

4 0

Answer:

Your answer is

x-int: (3 , 0) , (-3/2 , 0)

y-int: (0 , -9)

Step-by-step explanation:

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0

2 years ago

Read 2 more answers

What number has 3 ones, 8 tens, and 5 hundreds?

PtichkaEL [24]

Answer:

C: 583

Step-by-step explanation:

5(100)+8(10)+3(1)

500+80+3= 583

Hope this helps! :)

4 0

2 years ago

Which equation represents a line that has a slope of 7 and passes through the point of (2,6)?

Strike441 [17]

Answer:

y=7x -8

Step-by-step explanation:

I used desmos but you can also use an equation. I'm sure you're teacher taught you how.

7 0

2 years ago

Read 2 more answers

Once again... we almost finish, solve for x

algol13

Answer:

x = 34

Step-by-step explanation:

Angles are supplementary:

x + 7 + 4x + 3 = 180

5x + 10 = 180

5x = 170

x = 34

3 0

2 years ago

-3(x + 4) = (-x - 1)

zaharov [31]

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

4 0

3 years ago

Read 2 more answers

What is the correct answer NEED ANSWER ASAP​

What is the correct answer NEED ANSWER ASAP