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Lostsunrise [7]
3 years ago
15

The amount of money you earn varies directly with the number of hours you work. You work for 8 h and earn $98. How many hours do

you need to work to earn $441?
Mathematics
1 answer:
alexdok [17]3 years ago
8 0
First find the Unit Rate by dividing 98/8 which is : $12.25 per hour. Then divide $441 by $12.25. The answer is 36. You would have to work 36 hours to earn $441.
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Which of the following equations describes the line shown below? Check all
nexus9112 [7]

Answer:

C and D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3+6}{9+3} = \frac{9}{12} = \frac{3}{4}

Using (a, b ) = (9, 3 ) , then

y - 3 = \frac{3}{4} (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) = \frac{3}{4} (x - (- 3) ) , that is

y + 6 = \frac{3}{4} (x + 3) → D

4 0
3 years ago
Factor 1/8 out of 1/8x−49/8.
AleksandrR [38]

Answer:

1/8(x-49)

Step-by-step explanation:

1/8x -49/8

Factor out 1/8

1/8*x - 1/8*49

1/8(x-49)

7 0
3 years ago
If the 9th term of an ap is 1/7 and the 7th term os 1/9 find the 63rd term
Mnenie [13.5K]

Answer:

a_{63} = 1

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

use the 9 th term and 7 th term to find a and d

a_{9} = a + 8d = \frac{1}{7} → (1)

a_{7} = a + 6d = \frac{1}{9} → (2)

Subtract (2) from (1) term by term

2d = \frac{2}{63} ⇒ d = \frac{1}{63}

Substitute this value into (2) and solve for a

a + \frac{6}{63} = \frac{1}{9}

a = \frac{1}{9} - \frac{6}{63} = \frac{1}{63}

Hence

a_{63} = \frac{1}{63} + \frac{62}{63} = 1


5 0
3 years ago
HELP PLEASE DUE IN 30 MINS!!!!!!!!!
pshichka [43]

Step-by-step explanation:

25 = 3.75

\frac{25}{3.75}

1 = 0.15

90 = 12.60

1 = 0.14

hope it helps you ☺️

7 0
2 years ago
Read 2 more answers
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7nadin3 [17]

Answer:

B and A

Step-by-step explanation:

8 0
2 years ago
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