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marta [7]
3 years ago
11

(HELP ASAP PLEASE!!)

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

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which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?​
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x^2+(y-1)^2=25

Step-by-step explanation:

eqn of circle : (x-h)^2+(y-k)^2=r^2

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4 0
2 years ago
Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total num
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Answer:

6h

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If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.

If the classes are two hours, she teaches 6×2 is 12 hours.

Try with numbers to see what math operation you are doing. Its times.

6×h is written 6h

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Point M is the midpoint of AB. The coordinates of point A are (-7, 1) and the coordinates of M are (-4,1). What are the coordina
I am Lyosha [343]

Answer:

The coordinates of point B are : (-1, 1)

Step-by-step explanation:

\frac{-7+x^{2} }{2} = -4\\\frac{1+y^{2} }{2} =1 You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.

Then you create the equations -7 + x^{2} = -8\\1 + y^{2} = 2 you substitute -7 for +7 and add 7 to -8 which gives -1 (x^{2}) and subtract 1 from 2 which gives you 1 (y^{2})

To check your answer use the midpoint formula \frac{-7+-1}{2} =\frac{-8}{2} =-4\\\frac{1+1}{2} =\frac{2}{2} =1 which gives you your midpoint (-4,1)

3 0
3 years ago
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