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3 years ago

Evaluate: 54-75+81-(-27)+53

Mathematics

2 answers:

romanna [79]3 years ago

4 0

Hi the answer is 344

solmaris [256]3 years ago

4 0

Answer:

140

Step-by-step explanation:

54-75=-21

-21+81=60

60-(-27)=87 or 60+27=87

87+53=140

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Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11

katovenus [111]

Hello!

Answer:

1. $\boxed{W=-6}$

*The answer must have A NEGATIVE SIGN ONLY!*

2. $\boxed{B=15}$

*The answer must have A POSITIVE SIGN ONLY!*

3. $\boxed{N=-44}$

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

W=-6 is the final answer.

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

b=15 is the final answer.

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

n=-44 is the final answer.

_____________________________

Hope this helps you!

Have a great day! :)

-Charlie

Thanks!

3 0

3 years ago

Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n. thanks.

azamat

Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0

3 years ago

Three pounds of fertilizer covers 900 feet.How many pound of fertilizer will cover 2,100 feet?

sveticcg [70]

To solve this problem, you can make a proportion:

3/900 = x/2100

In this case, the x represents the pounds that will be needed to cover 2,100 feet.

The first step is to cross multiply like this:

3 * 2100 = 900 * x

Now you can simply the equation.

6300 = 900x

Now you divide both sides by 900 to cancel it out.

7 = x

So, your answer is 7 pounds.

7 0

3 years ago

Match the equations of the lines with their graphs.

xxMikexx [17]

Answer:

Step-by-step explanation:

1. y=2x-3

2. y=2x+3

3. y=-2x+3

4. y=-2x-3

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stellarik [79]

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3 0

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