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3 years ago

Write the word sentence as an equation. Then solve the equation. A number multiplied by 2/3 is 3/20.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

Equation = X*(2/3) = 3/20

Solve for X = 0.23

Step-by-step explanation:

Let, the number be "X"

According to the question,

X*(2/3) = 3/20..........(i)

From equation (i), we can get,

X = (3/20)/(2/3)

or, X = 0.15/0.66

or, X = 0.23

Alternative way,

Let, the number be "X"

According to the question,

X*(2/3) = 3/20..........(i)

From equation (i), we can get,

X = (3/20)/(2/3)

or, X = (3/20)*(3/2)

or, X = 9/40

or, X = 0.23

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3 years ago

Vanessa purchased a smart TV for $1,500 on a payment plan. Four months after purchasing the TV, her balance was $1,200. 7 months

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Answer:

The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.

Step-by-step explanation:

We are looking for a function that has the following points:

B(0) = 1500

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B(7) = 975

Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:

B(t) = -75*t + 1500

To check if this expression is valid, we will apply the values provided on the problem:

B(0) = -75*0 + 1500 = 1500 (valid)

B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)

B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)

When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:

B(t) = -75*t + 1500 = 0

-75*t + 1500 = 0

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3 years ago

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Answer:

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2 years ago