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Georgia [21]
3 years ago
13

Kayla bought a car that's price was reduced by 34%. The original price for the car was $16,000. How much did she spend on the ca

r?
Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0

The price was reduced by 34%, so she paid 100-34 = 66% of the original price.

16,000 x 0.66 = 10,560

She paid $10,560

tatuchka [14]3 years ago
3 0

The answer is $10,560

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Twice the first number is eleven more than the sum of the other two numbers. The sum of twice the first number and three times t
lidiya [134]
Well first you have to make variables for each number.
1st - x
2nd - y
3rd - z

first sentence says twice first number so 2x. is means equals so =. eleven more than sum of the other two numbers. sum of other two numbers is (y + z) and eleven more than that is (y + z) + 11. So so this sentence says:
2x = (y + z) + 11

second sentence says sum of twice the first and three times third. twice first is 2x and three times third is 3z. their sum would be (2x + 3z). It it says is one more than second number. So = (y + 1). So so this means:
(2x + 3z) = (y + 1)

third sentence says second number (y) is is equal to sum of first and third (x + z). so;
y = (x + z)

now for the work.

We we can easily solve for a by subtracting the first 2 equations. the way to subtract 2 equations is by subtracting one left side of equal sign from the other equations left side and then doing the same with the right side.

So we will subtract the 1st and second equations we made.
So so left sides would be
2x - (2x + 3z)
2x - 2x - 3z
-3z

right side would be:
y + z + 11 - (y + 1)
y + z + 11 - y - 1
z + 10

now put the sides with an equal sign
-3z = z + 10
-4z = 10
z = -2.5

now we can plug in z into the equations and subtract second and third equations. But but we will subtract opposite sides. So so left minus right and right mi is left after we plug in z:
(2x + 3 (-2.5)) - (x + (-2.5))
2x - 7.5 - x + 2.5
x - 5

other one would be
(y + 1) - y
1

So so put an equal sign and get:
x - 5 = 1
x = 6

now plug x and x into 3rd equation
y = x + z
y = 6 + (-2.5)
y = 3.5

now we have values. You can check answer by plugging values into other 2 equations
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Answer:

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Step-by-step explanation:

You can convert this into algebra. 50/78 = 78/x

when you solve for x you get the answer.

6 0
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Answer:

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Step-by-step explanation:

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