Answer:
First mechanic worked for 10 hours and second mechanic worked for 15 hours.
Step-by-step explanation:
Let first mechanic worked for X hours and second mechanic worked for Y hours .
Now, according to the question , they worked for a total of 25 hours .
Thus ,
X + Y = 25.
Y = 25 - X -(1)
Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .
Thus, total money charged by them will be 95X + 115Y .
Which is given to be $2675 in the question.
Thus 95X + 115Y = 2675. -(2)
Putting equation 1 in equation 2 we get ,
95X + 2875 - 115X = 2675
20X = 200
X = 10 hours.
Thus , Y = 25 - X = 15 hours.
Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.
The surface area of the trapezoidal prism is: 4,190 in.².
<h3>What is the Surface Area of a Trapezoidal Prism?</h3>
Surface area = (b1+b2)h + PH, where:
- Length of the base of the trapezoid (b1) = 20 in.
- Length of the base of the trapezoid (b2) = 60 in.
- Height of the trapezoid (h) = 15 in.
- Perimeter of the trapezoid (P) = 60 + 25 + 20 25 = 130 in.
- Height of the prism (H) = 23 in.
Plug in the values
Surface area = (b1+b2)h + PH = (20 + 60)15 + (130)(23)
Surface area = 4,190 in.²
Learn more about surface area of trapezoidal prism on:
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The standard deviation of the given data is 3.5
<h3 /><h3>How to calculate the standard deviation of data?</h3>
Standard deviation is used to determine the rate of dispersion of data with respect to the mean.
The formula for calculating the standard deviation of data is given as:
Given the data below:
10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Using the stdevp calculator the standard deviation is calculated as:
σ = √12.405
σ = 3.5
Hence the standard deviation of the given data is 3.5
Learn more on standard deviation here: brainly.com/question/12402189
Answer:
see below
Step-by-step explanation:
4(5n-7)+10n+2
Distribute
20n -28 +10n+2
Combine like terms
30n-26
Assuming you meant =
4(5n-7)=10n+2
Distribute
20n -28 =10n+2
Subtract 10n from each side
20n-10n-28 = 10n-10n+2
10n-28 =2
Add 28 to each side
10n-28+28=28+2
10n=30
Divide by 10
10n/10 =30/10
n=3
9(x+3)=4x-3
Distribute
9x+27 = 4x-3
Subtract 4x from each side
9x-4x+27 = 4x-4x-3
5x +27 =-3
Subtract 27 from each side
5x+27-27 = -3-27
5x = -30
Divide by 5
5x/5 = -30/5
x=-6
2(12-8x)=x-11x
Combine like terms
2(12-8x) = -10x
Divide by 2
12-8x = -5x
Add 8x to each side
12-8x+8x = -5x+8x
12 = 3x
Divide by 3
12/3 =3x/3
4=x
