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3 years ago

This is the question.

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Answer:

Step-by-step explanation:

as you can see they want you to find the total out of the gallons so the first thing you want to do is get 1,688 and 1,297 and multiply both of them the total is 2189336 so 1,688 x 1,297=289336

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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 5400 

4 0

3 years ago

Read 2 more answers

PLS HELP ILL MARK BRAINLIEST ITS URGENT

Nataliya [291]

Answer:

(x^2 + x -1) x (x^2+3x-3)

Step-by-step explanation:

-6x-5+x^4+4x^3-x^2+8

-6x+3+x^4+4x^3-x^2

-6x+3+x^4+x^3+3x^3-x^2

-3x-3x+3+x^2 x(x^2+x-1)+3x^3 +3x^2-3x^2

3x *(x^2+x+x-2)-3(x^2+x-1)+x^2 *(x^2+x-1)

= (x^2+x-1) x (x^2+3x-3)

* means multiply btw

8 0

3 years ago

I NEED HELP FAST!!!!!!!!!! ⦁ Solve the equation. Describe the solution to the equation as one solution, no solution, or an infin

g100num [7]

$\frac{1}{8} (x + 24) = \frac{5}{8} x + 9 - \frac{1}{2} x \\ \\ \frac{x + 24}{8} = \frac{5}{8} x + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{5x}{8} + 9 - \frac{1}{2} x \ / \ simplify \\ \\ \frac{x+ 24}{8} = \frac{5x}{8} + 9 - \frac{x}{2} \ / \ simplify \\ \\ \frac{x + 24}{8} = \frac{x}{8} + 9 \ / \ simplify \\ \\ x + 24 = x + 72 \ / \ multiply \ each \ side \ by \ 8 \\ \\ 24 = 72 \ / \ cancel \ x \\ \\ no \ solution \\ \\$

The final result is: no solution.

7 0

4 years ago

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Write the explicit rule for the arithmetic sequence -10, -3, 4, 11,...

Bogdan [553]

−

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of

between ascending sequence terms.

6 0

3 years ago

What is the BEST deal on sugar?

Lana71 [14]

Answer:

Step-by-step explanation:

well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c

8 0

3 years ago