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Usimov [2.4K]
4 years ago
15

Erin earned $25 last week for 5 hours of baby-sitting. This week she earned $40 for 8 hours of baby-sitting. What was her hourly

rate in whole dollars?
Mathematics
1 answer:
Elena-2011 [213]4 years ago
6 0

Answer:

5 dollars

Step-by-step explanation:

  1. 25/5 = 5 (25 dollars for 5 hours. Divide 25 and 5 to get how many dollars she earned for one hour)
  2. 40/8 = 5 (Each hour she earned $5 since 40/8=5 and 25/5=5

~Jax

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If elephant grass grows <br> 2 1/5 inches a day, how many inches will it grow in 6 days?
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13.2 or 13 1/5 inches

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

m=\frac{6-4}{3+3}

m=\frac{2}{6}

simplify

m_a=\frac{1}{3}

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

m=\frac{3+3}{-8+10}

m=\frac{6}{2}

m_b=3

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

m=\frac{-4-5}{3-0}

m=\frac{-9}{3}

m_c=-3

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

m=\frac{-4+7}{13-4}

m=\frac{3}{9}

simplify

m_d=\frac{1}{3}

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

m_a=\frac{1}{3}

m_b=3

m_c=-3

m_d=\frac{1}{3}

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0
3 years ago
The algebraic expression of The sum of four times a number and -2 and six times a number and 3
riadik2000 [5.3K]

Hey!

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