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kirza4 [7]
3 years ago
12

A taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. What will the driver's total earnings for t

he hour be, after paying for gas?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0
The answer is $17.75, though usually the taxi company will pay for gas that the driver uses.
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How do I solve this using the substitution method 3x+2y=9 x-5y=4
Harlamova29_29 [7]

\bf \begin{cases} 3x+2y=9\\ x-5y=4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving the 2nd equation for "y"}}{x-5y = 4\implies x-4-5y=0}\implies x-4=5y\implies \cfrac{x-4}{5}=y \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x+2\left(\cfrac{x-4}{5} \right) = 9}\implies 3x+\cfrac{2(x-4)}{5}=9 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5\left( 3x+\cfrac{2(x-4)}{5} \right)=5(9)}\implies 15x+2(x-4)=45

\bf 15x+2x-8=45\implies 17x-8=45\implies 17x=53\implies \boxed{x=\cfrac{53}{17}} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{x-4}{5}=y}\implies \cfrac{\left(\frac{53}{17} -4 \right)}{5}=y\implies \cfrac{\left(\frac{53-68}{17} \right)}{5}=y\implies \cfrac{~~\frac{-15}{17}~~}{5}=y \\\\\\ \cfrac{~~\frac{-15}{17}~~}{\frac{5}{1}}=y\implies \cfrac{-15}{17}\cdot \cfrac{1}{5}=y\implies \boxed{-\cfrac{3}{17}=y} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \left( \frac{53}{17}~~,~~-\frac{3}{17} \right)~\hfill

8 0
3 years ago
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Which pair of numbers has a product of -24 and a sum of 10?
muminat

Answer:

-2;12

Step-by-step explanation:

it's too easy!

6 0
3 years ago
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40 points!!! Please Help!!! (MATH) Will give Brainliest!!!
Vedmedyk [2.9K]

Answer:

A =62x^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is given by

A=2(wl+hl+hw)

Given a width of 2x and length of 3x and a height of 5x, substitute into the equation

A = 2(2x*3x+ 5x*3x+ 2x*5x)

A = 2(6x^2 + 15x^2 +10x^2)

Combine like terms

A = 2(31x^2)

A =62x^2

7 0
3 years ago
Compare 2x+8>18 and 2x+8 greaterthan or equal to 18
Sergio039 [100]
2x + 8 > 18                      2x+ 8 ≥ 18
2x > 18 -8                            2x ≥ 18 - 8
2x > 10                                 2x ≥ 10
x > 10/2                                  x ≥ 10/2
x>5                                          x ≥ 5

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6 0
3 years ago
What is the answer please help me
Rom4ik [11]

Answer:

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Step-by-step explanation:

Since the scale is 0.5 and she's 7 inches away on the map, you divide 7 by 0.5 and get 14. Then, you multiply 14 by 50 because each inch is 50 miles.

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3 years ago
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