Gcf of 6w square - 14w

Answers

Answer 1

Answer: GCF of them is 2w.

Hope this helps :)

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Use factoring. What is the solution of 2x² = 14x + 60? a. x = -15, x = 4 b. x = -10, x = 3 c. x = 15, x = 12 d. x = 10, x = -3

Answers

Answer: d. x = 10, x = -3

Step-by-step explanation:

We will solve by factoring as asked.

Given:

2x² = 14x + 60

Subtract 2x² from both sides of the equation:

0 = -2x² + 14x + 60

Factor:

0 = −2(x − 10)(x + 3)

Zero-product property:

x - 10 = 0 x + 3 = 0

x = 10 x = -3

d. x = 10, x = -3

There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?

Answers

Answer:

Step-by-step explanation:

Let a represent the length of board a.

Let y represent the length of board b.

The total length of both is 28 feet. This means that

a + b = 28

Board b is at least 5 feet longer than board a. This means that

b ≥ a + 5

The difference between both boards is not more than 12 feet. This means that

b - a < 12

Substituting a = 28 - b into b ≥ a + 5, it becomes.

b ≥ 28 - b + 5

2b ≥ 28

b ≥33/2

b ≥ 16.5

16.5 - a < 12

4.5 < a

a > 4.5

The possible lengths of board a is

8 to 11.5 feet

The possible lengths of board b is

16.5 to 20 feet

Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relationship between p and d? p = d + 2
p = d – 1
p = d – 2
p = d + 1
d = 2p
d = 2p – 1
d = 2p
d = 2p + 1

Answers

If you would like to find a pair of equations that best models the relationship between p and d, you can do this using the following steps:

p is 2 more than d ... p = d + 2
p is 1 less than d ... p = d - 1

The correct result would be p = d + 2 and p = d - 1.

The pair of equations that models the relationship between p and d are expressed as: p = d + 2, and p = d - 1.

What is an Equation?

An equation is used to represent a situation using variables (letters) and figures.

"p is 2 more than d" can be expressed as: p = d + 2.

Also, we can represent the statement, "p is 1 less than d" as: p = d - 1.

Therefore, the pair of equations would be: p = d + 2, and p = d - 1.

Learn more about equations on:

brainly.com/question/25678139

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10 times the square of a nonzero number is equal to 90 times the number. whats the number?

Answers

9 because 10 times 9 is 90 and if you divide 90 by 10 you get 9

10n^2 = 90n
n^2 = 9n
n = 9

Hope this helps with your question.

A construction manager needs 12 workers to complete a building project in 54 days. Find in terms of T the number of workers needed to complete the same project in T days

Answers

Answer:

2T/9

Step-by-step explanation:

A construction manager needs 12 workers to complete a building project in 54 days, we can write;

12 workers = 54 days

T find the number of workers needed to complete the same project in T days, we will write;

x workers = T days

Divide both equations

12/x = 54/T

Cross multiply

12T = 54x

x = 12T/54

x = 2T/9

Hence the number of workers needed to complete the same project in T days is 2T/9 workers

2/3 of what number is 16?

Answers

Let the unknown number equal x.
(2/3)x = 16
You can get rid of the fractions by multiplying both sides by 3.
3(2/3)x = 16(3)
2x = 48
Then divide both sides by 2.
2/2 = 1 48/2 = 24
x = 24

2/3 of 24 is 16

You can double check by multiplying 2/3 times 24. This is 16. So we are correct.

The solution is: 2/3 of 24 is 16.

Here, we have,

Let the unknown number equal x.

(2/3)x = 16

You can get rid of the fractions by multiplying both sides by 3.

3(2/3)x = 16(3)

2x = 48

Then divide both sides by 2.

2/2 = 1

48/2 = 24

so, we get,

x = 24