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3 years ago

11. The length of a rectangle is three times its width. The perimeter of the

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches

Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;

Perimeter = 2(L + W)

We can now insert the known values as follows;

100 = 2(3W + W)

100 = 2(4W)

100 = 8W

Divide both sides of the equation by 8

12.5 = W

Having calculated the width as 12.5 inches, the length now becomes

L = 3W

L = 3 x 12.5

L = 37.5

Hence the length is 37.5 inches and the width is 12.5 inches

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3 years ago

When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.

wariber [46]

Answer:

-1

Step-by-step explanation:

You can write it as...

$x^{2} -5=4x$

Carry the 4x

$x^{2} -4x-5=0$

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

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3 years ago

What is the solution to the system of equations shown below?

Alexxandr [17]

Answer:

b. (1, 3, -2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

a: -1 -5(1) +2(-4) = -14 ≠ -18

b: 1 -5(3) +2(-2) = -18 . . . . potential choice

c: 3 -5(8) +2(1) = -35 ≠ -18

d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

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3 years ago

Michael saves $423 dollars a month for college.

alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

$\text{Actual amount saved}=\$423\times 48$

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

$423\approx 400\\\\48\approx 50$

$\text{Actual amount saved}=\$400\times 50$

$\text{Actual amount saved}=\$20,000$

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

5 0

3 years ago