All categories

3 years ago

The length of a rectangle is 7 more than its width. The area of the rectangle is 120. Solve for the length and the width.

Mathematics

2 answers:

klio [65]3 years ago

8 0

Length times width times height

hichkok12 [17]3 years ago

5 0

L = w + 7
W = w
A = L * W
120 = w(w+7)
120 = w^2 + 7w
Subtract 120 from both sides.
w^2 + 7w - 120 = 0
Factor
(w + 15)(w - 8) = 0
Set each factor equal to zero.
w = -15, w= 8
Cannot be -15 so w = 8
Length = 15
Width = 8

You might be interested in

Please help! Correct answers only please!

gulaghasi [49]

Answer:

1/4

Step-by-step explanation:

Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!

7 0

3 years ago

Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?

guajiro [1.7K]

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

4 0

3 years ago

Selectie correct answer.

denis-greek [22]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

4 0

3 years ago

Find the amount that results from the given investments. $200 invested at 9% compounded after a period of 4 years

Yanka [14]

Answer:

The amount of invested money after a period of 4 years:

A = 200 x (1 + 9/100)^4 = 282.32 dollar

Hope this helps!

8 0

3 years ago

Or Simplify. Express your answer as a single term using exponents. 303*9x303*9

dmitriy555 [2]

${303}^{9} \times {303}^{9} \\ = {303}^{9 + 9} \\ = {303}^{18}$

Answer:

${303}^{18}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0

2 years ago