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jok3333 [9.3K]
3 years ago
11

An electrician charges $80 an hour for weekday repairs and $120 for nights and weekends. Last week, the electrician earned $4800

for 50 hours of work. Which system of equations can be used to find how many hours were worked on weekdays
Mathematics
2 answers:
kompoz [17]3 years ago
5 0

Answer:

 x + y = 50

80x + 120y = 4800

Vadim26 [7]3 years ago
4 0
To answer this problem, we let x be the number of hours working on weekdays and y be the number of hours working on nights and weekends. The sum of these two variables should be equal to 50. The system of linear equation that would best represent this problem is,
                                           x + y = 50
                                         80x + 120y = 4800
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The path of a football can be modelled by the equation, h=-10d2+120d , where h represents the height, in metres, of the football
Marta_Voda [28]

Answer:

12 m

Step-by-step explanation:

The path of a football has been modeled by the equation:

h= -10d^2+120d

where h represents the height and d represents the horizontal distance.

When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.

=> 0= -10d^2+120d

=> 10d^2 - 120d = 0

d(10d - 120) = 0

∴ d = 0 m

and

10d - 120 = 0

=> d = 120 / 10 = 12 m

There are two solutions for d when h = 0 m.

The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.

The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m

3 0
3 years ago
Kim’s hair grows a half inch per month. How many months will it take for her hair to grow 12 inches?
Contact [7]

Answer:

24 months

Step-by-step explanation:

Cross-multiply

0.5 inches -------------- 1 month

12 inches ---------------- x months

0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5  ===> x = 24 months

3 0
3 years ago
Help its pi, ill give brainiest to the first answer show work please :)
saw5 [17]

Answer:

16m

8m

50.24m

200.96m^2

Step-by-step explanation:

13. 8*2=16

14. 8m

15. 2pi r = 2* pi* 8= 50.24

16. pi r^2 = pi * 8^2= 200.96m^2

8 0
3 years ago
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The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot
kherson [118]

Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

7 0
3 years ago
Which of the following is not equivalent
dsp73
90/139 is the only fraction not equivalent to 45/70.

To find if a fractions are equivalent, divide the numerator by the denominator for each fraction.

45/70=0.642857
27/42=0.642857
9/14=0.642857
63/98=0.642857

Notice how all of these get you the same number. However, when you divide 90 by 137, you get 0.64748, which is not the same as the others. Therefore, 90/137 is the fraction that is not equivalent to 45/70.

6 0
3 years ago
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