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:
x = 6
Step-by-step explanation:
this figure involves two triangle and one rectangle
for area of rectangle= Length * Width = 16 * 8 = 128 feet^2
for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x
for two triangles = 8x ft^2 total
whole area = two triangles + one rectangle
176 = 8x + 128
8x =48
x = 6
Here's a graph of those terms.
Answer:
11.2 ft
Step-by-step explanation:
Assuming the building meets the ground at right angles, the right triangle formed has side length 10 ft and hypotenuse 15 ft. Then the other side length (d) is given by the Pythagorean theorem as ...
d² + 10² = 15²
d² = 225 -100 = 125
d = √125 = 5√5 ≈ 11.2 . . . feet
The bottom of the ladder is about 11.2 feet from the building
answer is attached below with full explanation
