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scZoUnD [109]
3 years ago
8

The mechanic charges $90 for a vehicle inspection plus an additional $35 per hour. If the mechanic works for 8 hours, what will

be the cost? $755 $370 $125 None of these choices are correct.
Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

$370

Step-by-step explanation:

You already have 90 dollars so we can put that to the side for right now

If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together

30 x 8 = 240

5 x 8=40

240 + 40=280

Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer

280+90=370

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The area of a rectangle is 66 ft^2 and the length of the rectangle is 7 feet less than three times the width find the dimensions
Ber [7]
<h2>Length = 11</h2><h2>Width = 6</h2>

The area of a rectangle is 66 ft^2:

L * W = 66

Length of the rectangle is 7 feet less than three times the width:

L = 3W-7

Substitute L in terms of W:

(3W-7) * W = 66

Factorise the equation:

3W^2 -7W = 66

3W^2 - 7W - 66 = 0

Factors of 66 =

1 66, 2 33, 3 22, 6 11

(3W + 11) (W - 6) = 0

Solve for W:

3W + 11 = 0

3W = 11

W = 3/11

W - 6 = 0

W = 0 + 6

W = 6

Using the original equation, find L:

L = 3W-7

L = 3(6)-7

L = 18-7

L = 11

L * W = 66

11 * 6 = 66

4 0
3 years ago
Read 2 more answers
Given: sin(18m-12)=cos(7m+2), find the value of m.
V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

3 0
3 years ago
What is 4 5/6 as a decimal ? - show work plz:(
bulgar [2K]

Turn the fraction into a improper fraction.

4 5/6 -> 29/6

Divide both numbers.

29 / 6 = 4.833...

Best of Luck!

4 0
3 years ago
Read 2 more answers
there are 3 teams of 18 employees working today company policy says that we need to have one supervisor for every 8 employees on
Vadim26 [7]
The <span> answer  is 6.75. Since if you divide the number by 8 you get 6.75.</span>
8 0
3 years ago
Read 2 more answers
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
jok3333 [9.3K]

Answer:

this is the formula for a volume of a sphere

4 /3*π*r^3 so plug in the radius

4/3*3.14*3^3=

4/3=1.33333333

1.333*3.14=4.186666562‬

4.186666562‬*3^3=113

the volume of the sphere is 113

Step-by-step explanation:

7 0
3 years ago
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