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4vir4ik [10]
3 years ago
7

Please show the work/explain. I need to write it down.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

9514 1404 393

Answer:

  • 20 months
  • $5500

Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

  at dealer 1, the total amount paid (y) will be a function of months (x):

     y = 2500 +150x

  at dealer 2, the corresponding equation is ...

     y = 3000 +125x

These are equal when ...

  y = y

  2500 +150x = 3000 +125x

  25x = 500 . . . . . . . . . subtract 125x +2500 from both sides

  x = 500/25 = 20

The total paid will be the same after 20 months.

That amount is ...

  y = 2500 +150(20) = 5500

$5500 will be paid to either dealer after 20 months.

__

The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...

  25x = 500 . . . . . . . . . you may recognize this equation from above

  x = 500/25 = 20

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3 years ago
The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the
egoroff_w [7]

Answer:the answer  is a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
John and Emily are brother and sister. John has as many brothers as sisters, and Emily has twice as many brothers as sisters. Ho
spin [16.1K]

Answer:

4 boys, 3 girls

Step-by-step explanation:

brothers of John ⇒ x

sisters of John ⇒ y

John has as many brothers as sisters:

  1. x = y

brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))

sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))

Emily has twice as many brothers as sisters:

  1. 2 (y-1) = x+ 1

Now we have a system of 2 equations and 2 variables

x=y (I)

2y - 2 = x + 1 (II)

____________

Replace x in equation II

2y - 2 = y + 1

2y - y = 2 + 1

y = 3

____________

Replace y in equation I

x = y = 3

That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family

8 0
3 years ago
The measure of a square wall is 9 feet 7 inches on each side. Estimate the square feet a painter would have to cover to the near
Nookie1986 [14]
First, convert those inches to feet. 
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.
5 0
3 years ago
the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid
Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

  • The sides of the triangle = 2:7:8
  • The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

\mathbf{\to\dfrac{8}{17}\times x = 40}

\mathbf{x = 40 \div \dfrac{8}{17}}

\mathbf{x = 40 \times \dfrac{17}{8}}

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\mathbf{\dfrac{2}{17}\times 85 = 10}

\mathbf{\dfrac{7}{17}\times 85 = 35}

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

3 0
2 years ago
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