Answer:
14.91288 miles
Step-by-step explanation:
We can use a proportion to solve this problem. Put the distance over the cost. We want our answer in miles so we need to convert 8 kilometers to miles. 1 km = .621371 miles
8 km * .621371 miles/ 1 km = 4.971 miles
4 .971 miles x miles
--------------------- = ------------------
10 dollars 30 dollars
Using cross products
4.971 * 30 = 10x
149.1288= 10 x
Divide by 10 on each side
149.1288/10= 10/10 x
14.91288 =x
Answer: The salon charges $16 for a manicure and $25 for a pedicure.
Step-by-step explanation:
Let x represent the amount charged by the salon for a manicure.
Let y represent the amount charged by the salon for a pedicure.
Over the weekend, they performed 49 manicures and 16 pedicures, bringing in a total of $1,184 in receipts. It means that
49x + 16y = 1184- - - - - - - - - - 1
So far this week, they have administered 31 manicures and 33 pedicures, with receipts totalling $1,321. It means that
31x + 33y = 1321- - - - - - - - - - 2
Multiplying equation 1 by 31 and equation 2 by 49, it becomes
1519x + 496y = 36704
1519x + 1617y = 64729
Subtracting, it becomes
- 1121y = - 28025
y = - 28025/- 1121
y = $25
Substituting y = 25 into equation 1, it becomes
49x + 16 × 25 = 1184
49x + 400 = 1184
49x = 1184 - 400
49x = 784
x = 784/49
x = $16
The correct answer is: [C]: " 5 " .
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→ " a = 5 " .
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Explanation:
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Given: " a + 1 <span>− 2 = 4 " ; Solve for "a" ;
4 + 2 = 6 ;
6 </span>− 1 = 5 ; → a = 5 ;
To check our work:
5 + 1 − 2 = ? 4 ?? ;
5 + 1 = 6 ;
6 − 2 = 4. Yes!
So the answer is: [C]: " 5 ".
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→ " a = 5 " .
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