The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Step-by-step explanation:
Given,
Charges of first mechanic = $95 per hour
Charges of second mechanic = $115 per hour
Total hours = 25
Total amount charged = $2675
Let,
The number of hours worked by first mechanic = x
The number of hours worked by second mechanic = y
According to given statement;
x+y=25 Eqn 1
95x+115y=2675 Eqn 2
Multiplying Eqn 1 by 95

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 20

Putting y=15 in Eqn 1

The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Keywords: linear equation, elimination method
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Answer:
p = 7.2
q = 6.4
Step-by-step explanation:
if the triangles are similar then the side lengths must be proportional :
AC/BA = CD/BE
9/5 = p/4 cross multiply expressions
5p = 36 divide both sides by 5
p = 7.2
same goes for q
9/5 = (q+8)/8 cross multiply expressions
72 = 5(q+8) divide both sides by 5
14.4 = q+8 subtract 8 from both sides
6.4 = q
Answer:
5323
Step-by-step explanation:
453
Answer:
x=6
Step-by-step explanation:
First you have to subtract 8 from 22 and you get -14. Then you rewrite the equation, 2x-14=-2.
Since your subtracting 14 you would add 14 to both sides, so -14+14 and -2+14. -2+14 will turn out to be 12 and then you divide 2 from both sides, so 2x-2 and 12-2.
Your answer will be x=6
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.