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3 years ago

The ratio of length :width :height of a box is 6 : 3 : 2. What is the volume if the height is 5 centimetres.

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

Answer:

volume = 562.5 cm³

Step-by-step explanation:

5 cm represents 2 parts of the ratio

Divide by 2 to find the value of one part of the ratio

$\frac{5}{2}$ = 2.5 cm ← 1 part of the ratio

3 parts = 3 × 2.5 = 7.5 cm

6 parts = 6 × 2.5 = 15 cm

Dimensions are length = 15 cm, width = 7.5 cm, height = 5 cm

V = length × width × height = 15 × 7.5 × 5 = 562.5 cm³

Butoxors [25]3 years ago

4 0

Answer:

562.5

Step-by-step explanation:

What do you have to multiply 2 by to get 5?

2*x = 5 Divide by 2

2x/2 = 5/2 Do the division

x = 2.5

That means that the every member of the ratio has to be multiplied by 2.5

6*2.5 = 15

3*2.5 = 7.5

2*2.5 = 5

So the volume = L * W * H

Volume = 15 * 7.5 * 5

Volume = 562.5

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Step-by-step explanation:

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3 years ago

What is the value of x in the equation -2/9x=2/5

densk [106]

Answer:

x = (-9)/5

Step-by-step explanation:

Solve for x:

(-2 x)/9 = 2/5

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-2 x)/9 = 2/5 by -9/2:

(-9 (-2) x)/(2×9) = (-9)/2×2/5

Hint: | Express (-9)/2×(-2)/9 as a single fraction.

(-9)/2×(-2)/9 = (-9 (-2))/(2×9):

(-9 (-2))/(2×9) x = (-9)/2×2/5

Hint: | Express (-9)/2×2/5 as a single fraction.

(-9)/2×2/5 = (-9×2)/(2×5):

(-9 (-2) x)/(2×9) = (-9×2)/(2×5)

Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.

(-9)/9 = (9 (-1))/9 = -1:

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Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

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Hint: | Multiply all instances of -1 in -(-x).

(-1)^2 = 1:

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Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).

(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:

Answer: x = (-9)/5

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3 years ago

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