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Gala2k [10]
3 years ago
11

On a hiking trail​ map, the distance from mountain peak A to mountain peak B is 12.3 inches. The actual distance is about​ 1,000

miles. What is the distance on the same map from river A to river B if the actual distance is about 100​ miles?
Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

The distance of the rivers on the map is of 1.23 inches.

Step-by-step explanation:

We use proportions to solve this question, by a rule of three.

We have that:

If the actual distance is of 1000 miles, the distance on the map is of 12.3 inches. If the actual distance is 100 miles, what will be the distance on the map?

1000 miles - 12.3 inches

100 miles - x

Applying cross multiplication

1000x = 12.3*100

1000x = 1230

x = \frac{1230}{1000}

x = 1.23

The distance of the rivers on the map is of 1.23 inches.

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jeyben [28]

Answer: \mu_{x+y} = 3026

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Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

\mu_{x+y}=\mu_{x}+\mu_{y}

Assuming x represents the random male selected and y represents the random female selected:

\mu_{x+y}=1528+1498

\mu_{x+y}= 3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

\mu_{x-y}=\mu_{x}-\mu_{y}

\mu_{x-y}= 1528 - 1498

\mu_{x-y}= 30

The average difference of their scores is 30.

6 0
3 years ago
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Shkiper50 [21]
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5 0
3 years ago
Find the x value 4x-28 9x
andriy [413]

Answer: -5.6

Step-by-step explanation:

Simplifying

(4x + -28) = 9x

Reorder the terms:

(-28 + 4x) = 9x

Remove parenthesis around (-28 + 4x)

-28 + 4x = 9x

Solving

-28 + 4x = 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

-28 + 4x + -9x = 9x + -9x

Combine like terms: 4x + -9x = -5x

-28 + -5x = 9x + -9x

Combine like terms: 9x + -9x = 0

-28 + -5x = 0

Add '28' to each side of the equation.

-28 + 28 + -5x = 0 + 28

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Combine like terms: 0 + 28 = 28

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Divide each side by '-5'.

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Simplifying

x = -5.6

5 0
3 years ago
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Aleksandr [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
What’s the reciprocal of 5 4/9
stealth61 [152]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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