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Sidana [21]
2 years ago
9

Raymond spends 1/10 of his vacation budget on a car rental. Write an expression for how much he has to spend on the rest of his

vacation. If he budgets $650 for the vacation, how much will he have left to spend?
Mathematics
2 answers:
ycow [4]2 years ago
3 0
He spent $65 of his total $650 leaving him with $585. 
650/10=65
650-65=585
or (650/10)-65=585
the / is the division symbol. 
marissa [1.9K]2 years ago
3 0
If he spends 1/10 of his vacation budget on a car rental, then he has 9/10 of his vacation money to spend on the rest of the vacation

9/10(650) = 5850/10 = 585 on rest of vacation
or u can do it this way as well...

650 - 1/10(650) =
650 - 650/10 = 650 - 65 = 585 left to spend on his vacation
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Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate.
tiny-mole [99]

Answer:

<u>The system of equation that models the situation is:</u>

<u>w = 4c</u>

<u>w + c = 100</u>

<u>And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Owen wants to make 100 quarts of lemonade

Number of quarts of water 4 times the number of quarts of concentrate

2. Which of the following systems of equations models this situation?

c =  number of quarts of concentrate

w = number of quarts of water

Like the alternatives of systems of equations that model the situation were not given, let's write them by ourselves, this way:

w = 4c (Number of quarts of water 4 times the number of quarts of concentrate)

w + c = 100 (Owen wants to make 100 quarts of lemonade)

Now, let's solve for c and w, this way:

w = 100 - c

Substituting w in the first equation, we have:

100 - c = 4c

100 = 5c

c = 20 ⇒ 4c = 20 * 4 = 80

w = 4 * 20

w = 80

<u>The system of equation that models the situation is:</u>

<u>w = 4c</u>

<u>w + c = 100</u>

<u>And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.</u>

4 0
2 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Gelneren [198K]
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10.  This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
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Line segment symbol:AB with a line over it. 
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https://www.mathsisfun.com/geometry/symbols.html
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B is the answer a b c and d is the answer
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