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Mashcka [7]
3 years ago
10

A machine paints 340 toy boats in 45 minutes.Which expression equals the rate per hour?

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

The expression for rate per hour is \frac{340}{45}\times 60.

Explanation:

Given:

A machine paints 340 toy boats in 45 minutes.

To Find:

Expression equals the rate per hour?

Solution:

Finding the expression for rate per minute:

\text{{The rate per minute expression}} =\frac{\text{{ (number of toys painted in time given)}}}{\text{{(number of minutes taken)}}}

So, rate per minute expression is \frac{(340 toys)}{(45 minutes)} = \frac{340}{45}

Then, rate per hour expression \text{{rate per minute}}\times 60 minutes

So, rate per hour expression is \frac{340}{45}\times60 minutes= 453.334 toys per hour.

Hence, the expression for rate per hour is \frac{340}{45}\times 60

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Step-by-step explanation:

NOTE: This will be solved using simultaneous equations.

Let x = cows and y = chickens

1. form two equations

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x + y = 7 .... (2)

2. make y (or x) the subject of one equation

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3. Substitute (3) into (1)

4x + 2( 7 - x) = 18

4. solve for x

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2x = 4

x = 2

5. Now substitute x value into equation (2)

x + y = 7

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y = 5

∴ cows (x) = 2

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So Johnny ran for 1/12 of an hour longer than Angie.
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