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Marianna [84]
3 years ago
12

On his road trip, leon stops to refuel and get some snacks. he has the following purchases: 12 gallons of gas at $2.89 per gallo

n 2 granola bars for $1.59 each 1 apple for $0.89 2 bottles of vitamin water for $1.39 each leon must pay 7.5% sales tax on everything but the gas, which already has tax included in the per gallon price. if leon paid $44.64, then he _____ for his purchase.
a. did not pay enough
b. paid the correct amount
c. paid $2.60 too much
d. paid $3.11 too much
Mathematics
2 answers:
olga_2 [115]3 years ago
5 0
The price of all gallons 12*(2.89)=$34.68
a) the price of the granola bars 2*(1.59)=$3.18
b) 1 apple=$0.89
c) 2 bottles of vitamin 2*(1.39)=$2.78

a)+b)+c)=6.85$, the 7.5% of this amount is $0.51

so finally, Leon should have paid $6.85+ $0.51+ $<span>34.68 =$42.04
</span>
but he paid $44.64, so the true answer is C) he <span>paid $2.60 too much ($44.64 - $42.04 =$2.60)</span>  

Vsevolod [243]3 years ago
3 0
C) he paid $2.60 too much ($44.64 - $42.04 =$2.60)  
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Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

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