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Art [367]
3 years ago
12

A garden hose emits 9 quarts of water in 6 seconds how much did the water emit in 10seconds

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

In 10 seconds, the garden hose will emit 15 quarts of water.  

Step-by-step explanation:

The amount of water emitted by the garden hose over time can be expressed as a ratio:  9/6, or 9 quarts of water for every 6 seconds of time.  We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time.  Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds:  3/2 = x/10.  We look at the denominators and see that 2 x 5 = 10.  In order to make the ratios equivalent, we would also multiply the numerator by 5:  3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.  

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Y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Ksju [112]
In a proportional relationship, x and y will increase at the same rate. In order to find the value of x when y=4, we first have to find the ratio of x:y. We can do this by creating a fraction. After we know the ratio, simply replace the y value with 4 and solve for x. Here's the math:

y=15 when x=3       given values

y/x = 15/3 = 5          ratio of y to x

y=5x                        equation representing the proportional relationship 

4=5x                        replace y with 4

4/5=x                       divide both sides by 5 to isolate x

Answer: The value of x=4/5 when y=4.

Hope this helps!


6 0
3 years ago
This is number nine if you wanted to help please
andrew-mc [135]

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Step-by-step explanation:

If you're supposed to find area it would be 5x7 + 5x5 = 35 + 25 = 60

5 0
3 years ago
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8_murik_8 [283]

Answer:

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8 0
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Answer:

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Each child received two pieces.

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