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svet-max [94.6K]
3 years ago
9

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer: Solution in photo

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A boat can travel 412 miles on 103 gallons of gasoline. How much gasoline will it need to go 184 miles?
dlinn [17]

Hey there! I'm happy to help!

Let's set this up as a proportion (2 equal ratios).

\frac{miles}{gallons} =\frac{412}{103} =\frac{184}{g}

If you multiply the diagonal numbers, their products will be equal. (412×g=103×184). This is called cross multiplying. Now we can solve for g.

412g=18952

Divide both sides by 412.

g=46

Therefore, the boat will need 46 gallons of gasoline to go 184 miles.

Have a wonderful day! :D

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5 times a number is 14 less than the square of that number. Find the positive solution.
anastassius [24]

Write the word problem in algebraic form:

n2 -14 = 5n

Write as a quadratic:

n2 - 5n - 14 = 0

Factor:

(n+2)(n-7) = 0

Solve:

n+2 = 0    =>   n = -2

n-7 = 0    =>   n = 7

positive solution is 7.   (14 less than 72 = 35 which is also 5 times 7)

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Answer:

6/4

Step-by-step explanation:

To multiply fractions you multiply straight across. Multiply the numerators together and the denominators together.

First make 2 have a denominator of 1---we just don't show it but it's there. Now you have:

2/1 * 3/4

Multiply straight across.

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6/4 is the answer you get when you multiply the two fractions together. Move the dot to where it shows 6/4 on the number line.

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