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2 years ago

A boat can travel 423 miles on 47 gallons of gasoline. How much

Mathematics

2 answers:

Readme [11.4K]2 years ago

6 0

Answer:

Step-by-step explanation:

i done the butterfly method

AVprozaik [17]2 years ago

6 0

Answer:12

Step-by-step explanation:

423/47=108/x

Then we can cross-multiply and simplify, getting the X alone:

108*47=5076 423*x=423x

423x=5076

Divide to isolate:

x=5076/423

x=12

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3 years ago

In the diagram of circle C, what is the measure of 21?

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3 years ago

If one angle of a triangle is 100 degrees and the other two angles are equal what is the measure of each unknown angle?

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3 years ago

22/5 times 2 times 1/3

LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

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3 years ago

An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

$D_{\text{walking}}=\frac{x}{3}$

While jogging, we will get $D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}$

$D_{\text{jogging}}= \frac{(x+5)}{6}$

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

$6x=3x+15$

$6x-3x=15$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: $x+5\Rightarrow 5+5=10$

Therefore, athlete's jogging speed is 10 miles per hour.

3 0

3 years ago