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antiseptic1488 [7]
3 years ago
5

The total bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hou

r. Write and solve an equation to find the number of hours of labor.
Please help
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0
458= 339+34h

Subtract 339 from both sides
119=34h

Divide both sides by 34
3.5=h

Final answer: 3 and a half hours
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A librarian is expanding some sections of the city library. He buys book at a special price from a dealer who charges one price
stiks02 [169]

Answer:

The special price of 1 hardcover book = $13

The special price of 1 paperback book = $6

Step-by-step explanation:

Here, let us assume the special price of 1 hardcover book = $ m

and the the special price of 1 paperback  book = $ n

Now, the  price of 12 hardcover books  = 12 x ( Price of 1 hardcover)  = 12 m

and  the  price of  73 paperback books  = 73 x ( Price of 1 paperback)  = 73 n

Also, The price paid for  12 hardcover and  73 paperback books is $594

⇒ 12 m +  73  n = 594  .......  (1)

Similarly:

The  price of 11 hardcover books  = 11 x ( Price of 1 hardcover)  = 11 m

The  price of  87 paperback books  = 87 x ( Price of 1 paperback)  = 87 n

Also, The price paid for  11 hardcover and  87 paperback books is $665.

⇒ 11 m +  87  n = 665  .......  (2)

Now, solving both equation for the value of m and n , we get:

12 m +  73  n = 594       x 11          

11 m +  87  n = 665    x   (-12)

we get:  132 m +  803 n =  6534

             - 132 m  - 1044 n = - 7980

adding both equation, we get:

132 m +  803 n   - 132 m  - 1044 n = - 7980 +   6534

or,  - 241  n =  - 1446

or, n = 1446/241 =  6, or n = 6

Now,  Substituting n = 6 in 12 m +  73  n = 594 ,

we get: 12 m +  73 ( 6)  = 594, m =   13

Hence, The special price of 1 hardcover book = $13

and The special price of 1 paperback book = $6

7 0
3 years ago
Write an equation in slope intercept form for the line that passes through (-6,-2) and has a slope of 1/3
BabaBlast [244]

Answer:

y=1/3x-2

Step-by-step explanation:

Since the slope intercept form formula is y=mx+b all we need to do is input the values. So m is the slope. Input 1/3. X is next to it because we solve for this. B is the y intercept. Meaning its the point that crosses the line on the graph that is vertical. And you already have -2. Since we know: (x,y) so choose the y. And you have your equation.

Hope this helps!! If so please mark brainliest and rate/heart to help my account if it did!!

5 0
3 years ago
Simplify this expression: 11-3X) +7X-8​
BigorU [14]
4x+3 is the answer to your question.
3 0
3 years ago
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I need help someone.
Yuliya22 [10]
A. 6.48 units | There is your answer, hope it helped!
5 0
3 years ago
The length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas of the
FromTheMoon [43]
If the sides of the larger square are 3 in more than the sides of the smaller square, then the measure of the smaller square is x and the larger is x+3.  Area is side*side.  So the area for the smaller square is x*x or x^2.  The area for the larger is (x+3)(x+3) which is x^2+6x+9.  The sum of these areas is 425.  Here's what that looks like: x^{2} + x^{2} +6x+9=425 which simplifies a bit to 2 x^{2} +6x+9=425.  In order to solve for x we have to get everything on the same side, combine like terms, set the quadratic equal to 0, and then factor.  2 x^{2} +6x-416=0.  Plug that into the quadratic formula and you will get x values of 13 and -16.  The two things in math that will never EVER be negative are time and distance/length, so we know that the side length cannot possibly be -16, so it has to be 13.  The length of a side for the smaller square then is 13, and 16 for the larger.
3 0
4 years ago
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