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svet-max [94.6K]
3 years ago
12

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they

charged a total of $1925. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

g

Step-by-step explanation:

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For geometry:(<br><br> will give brainist to the correct answer!!!
Pani-rosa [81]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

7 0
2 years ago
Are 2(x-5) and 2x-5 equivalent
Mandarinka [93]
No, because with the parentheses, you distribute the 2 to both the x and the 5, making that equation 2x-10
7 0
3 years ago
Read 2 more answers
Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres
fredd [130]

Answer: D . N(t) = 3 + (0.25t)^3 - 8(1.06)^t

Step-by-step explanation:

Given : Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function,

A(t) = 5 + (0.25t)^3

The number of bacteria of species B, B(t), after t hours is represented by the function, B(t) = 2 + 8(1.06)^t

Then, the difference in the number of bacteria, N(t), of both the species after t hours will be :-

N(t)=A(t)-B(t)\\\\=5 + (0.25t)^3-(2 + 8(1.06)^t)\\\\=5 + (0.25t)^3-2-8(1.06)^t\\\\=5-2 +(0.25t)^3-8(1.06)^t\\\\=3+(0.25t)^3-8(1.06)^t

Hence, the correct answer should be : D . N(t) = 3 + (0.25t)^3 - 8(1.06)^t

7 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x
AveGali [126]

Answer:

A) 3^{x}*3^{x}

B) 3^{2x}

C) (3 * 3)^{x}

Step-by-step explanation:

Given the exponential expression, 9^{x}:

A)  3^{x}*3^{x} is equivalent to 9^{x} due to the Product Rule of exponents:  a^{m} a^{n} = a^{m + n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x}

Next, apply the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x}  = 9^{x}

B)   3^{2x}  is equivalent to 9^{x} due to the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}.    

C)  (3 * 3)^{x}  is equivalent to 9^{x} due to the Product-to-Power Rule of exponents:  (ab)^{m} = a^{m} b^{m}.  

  • (3 * 3)^{x} = (9)^{x}  = 9^{x}  
5 0
3 years ago
Answer in slope intercept form (y = Mx + b)
denpristay [2]
The answer is y= 1x + 12

5 0
2 years ago
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