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3 years ago

Find the value of x. Give reasons to justify your solution.

Mathematics

1 answer:

Alja [10]3 years ago

6 0

Answer:

Answer attached

Step-by-step explanation:

steps and answer in attachment

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a community bike ride offers a short 5.7 mile ride for children and families. the short ride is followed by a long ride, 5 2/3 t

VLD [36.1K]

38 miles

Further explanation

<u>Given:</u>

A community bike ride offers a short 5.7-mile ride for children and families.

The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.

A woman bikes the short ride with her children, and then the long ride with friends.

<u>Question:</u>

How many miles does she ride together?

<u>The Process:</u>

Let us make a pattern for the short ride:

$\boxed{5.7} \rightarrow in \ miles$

Let us do a multiplication on a fraction at first.

$\boxed{ \ = \frac{2}{3} \times 5.7 \ }$

$\boxed{ \ = \frac{2}{3} \times 5\frac{7}{10} \ }$

$\boxed{ \ = \frac{2}{3} \times \frac{57}{10} \ }$

We crossed out 3 and 57.

$\boxed{ \ = 2 \times \frac{19}{10} \ }$

$\boxed{\boxed{ \ = 3.8 \ }}$

Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:

$\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles$

A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.

The short ride: $\boxed{5.7 \ miles}$
The long ride: $\boxed{(5.7 \times 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}$

$\boxed{ \ 5.7 + 32.3 = 38}$

Thus, she rides 38 miles together.

<h3>Learn more</h3>

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Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together

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3 years ago

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The table shows the price for different numbers of pudding cups:

natka813 [3]

Yes, you multiply by 3 each time.

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3 years ago

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Mr c is so mean. He designs detention for Mathias where he needs to start 80 feet away from the door and can move halfway each m

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He will never be able to leave because he only moves half way each time just so he will be half way away then 1/4, 1/8, 1/16...

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3 years ago

Please help will give brainliest and good points

alina1380 [7]

7. (x-8)(x-7)

8. x=7 and x=8

9. (x-7)(x-8)=0 and solve

10. (x-8)(x-5)

11. x=8 and x=5

12. (x-8)(x-5)=0 and solve

hope this helps!!

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3 years ago

S=1 - 1/4 + 1/6 - 1/9 + 1/11 - 1/14..........infinity. Find the sum of series.

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$1+\frac{1}{6}+\frac{1}{11}+\cdots=\sum^{\infty}_{n=1} \frac{1}{5n-4} \\ \\ \frac{1}{4}+\frac{1}{9}+\cdots=\sum^{\infty}_{n=1} \frac{1}{5n-1} \\ \\ S=\sum^{\infty}_{n=1} \left(\frac{1}{5n-4} -\frac{1}{5n-1} \right) \\ \\ =\frac{\pi}{5} \sqrt{\frac{1}{5} (5+2\sqrt{5})}$

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2 years ago