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UkoKoshka [18]
4 years ago
5

lois rented a car for 74.00 a week plus 0.14 for each mile the car is driven. what is the greatest number of miles lois can driv

e the car if she wishes to spend at most 130.00
Mathematics
2 answers:
iris [78.8K]4 years ago
6 0
400 miles that’s how many miles Lois can drive
vampirchik [111]4 years ago
3 0
Lois can drive 400 miles
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solve the following systems of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the
kodGreya [7K]
If you multiply the top equation by -2 you get:

-4x -14y = 14 => -4x = 14+14y

now you can plug in the -4x into the second equation:

 14+14y - 3y = -19 => 11y = -33 => y=-3

Fill in y=-3 in either equation to find x:

2x - 21 = -7 => 2x = 14 => x=7

So your ordered pair is (7,-3)
7 0
3 years ago
Apples are sold in bags of four that cost $5, or bags of six that costs $7 per bag. What is the smallest cost at which you can b
babunello [35]
STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples

= 74 ÷ 4 apples/bag
= 18.5 bags

*must round up to 19 bags because we cannot buy a partial bag

STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag

= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag

STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples

= 74 ÷ 6 apples per bag
= 12.3333 bags needed

*must round up to 13 bags because we cannot buy a partial bag

STEP 4:
BAGS OF SIX

calculate price of 13 bags of 6 apples per bag

= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag


ANSWER: The smallest cost to buy 74 apples is $91.

Hope this helps! :)
3 0
3 years ago
Which pair shows equivalent expressions? 2x+10=-2(x-5) O -2(x+5)=2x-10 O-2x-10--2(x+5) -2(x-5)=-2x-10
pickupchik [31]

Answer:

1 and 2 they both are x=0

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Completely Factoring<br> 3x2 – 10x – 8
rusak2 [61]

Answer: (x - 4) • (3x + 2)

Step-by-step explanation:

6 0
3 years ago
Question 8 (2 points)
SashulF [63]

Answer:

\mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if x=\frac{1}{2} is the solution to the equation: 4x+12-8x=-1+2x+10

Solving the equation first to find value of x

4x+12-8x=-1+2x+10

Combining like terms:

4x-8x+12=2x+10-1\\-4x+12=2x+9

Subtracting 2x on both sides

-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9

Now, subtracting 12 on both sides

-6x+12-12=9-12\\-6x=-3\\

Divide both sides by -6

\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}

So, we get  \mathbf{x=\frac{1}{2}}

Therefore we can say that \mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

6 0
3 years ago
Read 2 more answers
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