Melissa works after school babysitting. she markes $18 an hour. write an equation that represents the relationship between the independent (h - hours) and dependent variables (p - pay)

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Answer 1
Answer: Pay = $18 times the amount of hours she works
p = 18h

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A building with a height of 32 m casts a shadow that is 20 m long. A person standing next to the building casts a shadow that is 1.2 m long. How tall is the person?

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Answer:

Building's actual height 32 meters

Building's shadow height 20 meters

Person's shadow height 1.2 meters

Person's actual height = ?

Find the person's actual height:

This is a proportion problem.

Actual height to shadow height

Building = Person

32 : 20 = x : 1.2

32 * 1.2 = 20 * x

38.4 = 20x

38.4/20 = 20x/20

1.92 = x

The person's actual height is 1.92 meters long.

32 : 20 = 1.92 : 1.2

32/20 = 1.60

1.92/1.2 = 1.60

Step-by-step explanation:

A survey found that 3 out of 7 people in a community job on a regular basis. If there are 3150 people in the community, What is the reasonable prediction for the number of people who would jog regularly?

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The requried reasonable prediction for the number of people who would jog regularly in the community is 1350.

What is proportionality?

Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.

If 3 out of 7 people jog on a regular basis, then the fraction of people in the community who jog on a regular basis is:

3/7

To predict the number of people who would jog regularly in the community, we can multiply this fraction by the total number of people in the community:

(3/7) * 3150 = 1350

Therefore, a reasonable prediction for the number of people who would jog regularly in the community is 1350.

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so 3150÷7=450 and then multiply 450×3= 1350. So 1350 people who jog regularly

What is the slope of the line that passes through the pair of points? (–6, 8), (2, 3)

Answers

The slope of line for the points is -5/8.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

given:

We have the Points (–6, 8), (2, 3).

So, the slope is

m = (3- 8)/ (2- (-6))

m = -5 / (2+6)

m = -5 / 8

Thus, the Slope is -5/8.

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Answer:

Step-by-step explanation:

Slope = y/x

y1-y2/x1-x2=slope of 2 points

8-3/-6-2 = 5/-8 which equals -5/8 or -.625.

The circumference of the earth is about 25,000 miles. Approximately how far is it from any point on the earth's surface to its center?

Answers

Since C = 2rπ
 
if the C of earth = 25000 miles

then the r =  C ÷ (2π)
                = 25,000 miles ÷ 2π
                = 12500 ÷ π
                ≈ 3978.87358 miles

Since radius is a measure of the distance from the center to any point on the circle then that distance would be about 3978.8736 miles

How to do like terms if needed

Answers

Let me give you an example
6x + 5x + 14 + 6
So all you is combine 6x and 5x
11x +14 + 6
Then you just combine the other two numbers
11x + 20

How can you generate 6x + y − 8 from the expression 4x + (2x + y) − 8

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