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Alona [7]
2 years ago
8

The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 ho

urs, how many miles will Olivia travel in 8.9 hours at the same constant speed?​
Mathematics
2 answers:
grin007 [14]2 years ago
8 0

Answer:304 miles

Step-by-step explanation:

NARA [144]2 years ago
7 0

Answer:

The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?

-----------------

Proportion:

x/8.9 = 112/3.5

---

x = 8.9(112/3.5)

x = 284.8 miles

=====================

Cheers,

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Georgie spent 15 hours doing her chores last week. This week
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Answer:

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2 years ago
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maxonik [38]

Step-by-step explanation:

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5 0
3 years ago
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor
LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359&#10;+3x

Isolate the variable x.

5640-4359&#10;=3x

1281&#10;=3x

Divide both sides by 3.

\dfrac{1281}{3}&#10;=x

427&#10;=x

Therefore, the value of x is 427.

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2 years ago
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