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seropon [69]
3 years ago
10

A car rental company charges $31 per day to rent a particular type of car, and $0.19 per mile. Juan is charged $59.31 for a one-

day rental. How many miles did he drive? (Show your algebraic work)
Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

x = # of miles

$59.31 = $31 + $0.19x

Subtract $31 from both sides

$28.31 = $0.19x

Divide both sides by $0.19

149 = x

Juan drove 149 miles

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Simplify using only POSITIVE exponents:
pickupchik [31]

So here are a few rules with exponents that you should know:

  1. Multiplying exponents of the same base: x^m*x^n=x^{m+n}
  2. Dividing exponents of the same base: x^m\div x^n=x^{m-n}
  3. Powering a power to a power: (x^m)^n=x^{m*n}
  4. Converting a negative exponent to a positive one: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m
<h2>1.</h2>

Firstly, solve the outside exponent:

(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}

Next, convert the negative exponents into positive ones:

2^{-2}x^{-6}y^{-14}=\frac{1}{2^2x^6y^{14}}=\frac{1}{4x^6y^{14}}

<u>Your final answer is \frac{1}{4x^6y^{14}}</u>

<h2>2.</h2>

For this, just divide:

\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3

<u>Your final answer is 3x^6y^3</u>

<h2>3.</h2>

For this, convert all negative exponents into positive ones:

\frac{r^{-7}b^{-8}}{t^{-4}w}=\frac{t^4}{r^7b^8w}

<u>Your final answer is \frac{t^4}{r^7b^8w}</u>

3 0
4 years ago
Pls i need to pass this class i wna graduate
jasenka [17]

Answer:

\boxed{\sf x= -29.5}

Step-by-step explanation:

\sf \sqrt{-2x+5}-3=5

\sf \sqrt{-2x+5}=8

\sf -2x+5=64

\sf -2x=59

\sf \cfrac{-2x}{-2}=\cfrac{59}{-2}

Therefore, x = -29.5.

7 0
2 years ago
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dem82 [27]

Answer:

the answer is 17.6cm2 ..

7 0
3 years ago
Eastridge High School’s Student Government Association is holding a raffle to raise money for a local food pantry. They have spe
Blababa [14]

"Interpret the rate of change and the y-intercept.

"

Rate of change is 5. Each ticket costs 5$.

Y-intercept is (0,-17). They spent $17 on supplies before they sold tickets.

(Sorry, you probably already know the answer)

5 0
3 years ago
Fill in the table.<br>Input Values = 0, 2,4<br>Rule: subtract 3<br>Input<br>Output​
jarptica [38.1K]

Answer:

Input: 0, 2, 4

Output: 3, -1, 1

Step-by-step explanation:

0-3= -3

2-3= -1

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3 0
3 years ago
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