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jolli1 [7]
3 years ago
11

The area of a rectangle is 18r^2 - 27r - 35 square inches. The width is 3r - 7 inches. What is the length in inches?

Mathematics
1 answer:
Allisa [31]3 years ago
5 0
6r+5 inches:

18r^2 - 27r - 35 = (3r-7) ( ) some unknown number.

You can use simple factoring to find the unknown factor by finding the other factor in the constant term and the squared term:
-7 times _ is -35; _ is positive 5
3r times __ is 18r^2; _ is 6r

That means the unknown factor, or the other side, is 6r+5 inches.

Hope that helps.
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JOe goes to the gym to run and swim. When running he burns 35
OverLord2011 [107]

Answer:the length of time he spent running is 8 minutes.

the length of time he spent swimming is 15 minutes.

Step-by-step explanation:

Let x represent the length of time he spent running.

Let y represent the length of time he spent swimming.

He exercised for a total of 23 minutes. This means that

x + y = 23

When running he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He has burned 730 calories after exercising. It means that

35x + 30y = 730 - - - - - - - - - -1

Substituting x = 23 - y into equation 1, it becomes

35(23 - y) + 30y = 730

805 - 35y + 30y = 730

- 35y + 30y = 730 - 805

- 5y = - 75

y = - 75/ -5

y = 15

Substituting y = 15 into x = 23 - y, it becomes

x = 23 - 15 = 8

8 0
2 years ago
118° (10x+2)° solve for x and z
Ghella [55]

Answer:

Simplifying

10x + -2 = 118

Reorder the terms:

-2 + 10x = 118

Solving

-2 + 10x = 118

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 10x = 118 + 2

Combine like terms: -2 + 2 = 0

0 + 10x = 118 + 2

10x = 118 + 2

<em><u>Combine like terms: 118 + 2 = 120</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifying</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifyingx = 12</u></em>

6 0
2 years ago
Jacob ran 2/3 of the length of a football field before he was tackled. if the filled is 100 yards long. how far is did Jacob run
alukav5142 [94]


the answer is 66 2/3 of the field


4 0
3 years ago
What is the cost of 4 pairs of Nikes if each pair is $365.68 along with 120 peaches that each cost $9.00. After he lost 3 pairs
Andreas93 [3]

One cost of a pair of Nike's is $365.68 so to find the cost of 4 pairs, we multiply 365.68 by 4 which gets us $1462.72

And he is fat

3 0
2 years ago
Read 2 more answers
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e
Advocard [28]

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

V = P e ^{r t}

substitute

V = 103*e^{0.019 *6}

V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\

Hence the final amount is $115.36

7 0
2 years ago
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