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2 years ago

The ____ property allows you to regroup terms using parentheses when adding or multiplying, without changing the answer.

Mathematics

2 answers:

Ugo [173]2 years ago

7 0

The associative property, hope it was helpful

Umnica [9.8K]2 years ago

4 0

The Associative property allows you to regroup terms using parentheses when adding or multiplying, without changing the answer.

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Solve. Check your answer. -3/z + 7/4z = 5/z-25

Anastaziya [24]

[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)

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[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

Find common denominator

Combine fractions with common denominator

Multiply the numbers

Re-order terms so constants are on the left

Combine exponents

Rearrange terms

Find common denominator

Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

Distribute

17:

Subtract the numbers

18:

Rearrange terms

19:

Use the quadratic formula

20:

Simplify

21:

Separate the equations

22:

Solve

Answer: z = $\frac{-50 + 2\sqrt{681} }{7}$

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[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

[-!AveryIsSomeHowAlive!-}

7 0

1 year ago

Consider the system of equations.

anzhelika [568]

Answer: You can multiply the top equation by -1 to eliminate the x variable.

And the solution is (2,4/3) in case you need it.

Step-by-step explanation:

2x + 3y = 8

2x + 6y = 12

If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.

-1( 2x + 3y) = -1(8) New equation: -2x -3y = -8.

Add the new equation you got by multiplying the top equation by -1 to the bottom equation.

Add them: -2x -3y = -8

2x + 6y = 12

3y = 4

y = 4/3

You can now input the value for y into the one of the equations and solve for x.

-2x - 3(4/3) = -8

-2x -4 = -8

+4 +4

-2x = -4

x = 2

8 0

2 years ago

PLEASE HELP!!!!!! who every gets it right I will give brainly and 20 points

Sindrei [870]

Unit price:

$3.03 for a gallon of gass

$0.05 per ounce of soap

$0.75 per bag of popcorn

Not a Unit Price:

$20 for 5 books

$33.00 for 2 avocadoes

hoped that helped

8 0

1 year ago

Brianna bought a compact disk for $10. An instant rebate gave her a discount and she only had to pay $7.50 for the CD. What is t

svetoff [14.1K]

Answer:

25%

Step-by-step explanation:

The discount was $2.50. Dividing $2.50 by $10, we get 0.25, or 25%

3 0

2 years ago

Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment

DiKsa [7]

Answer:

We require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Step-by-step explanation:

Let n₁ be the population of A required and n₂ be the population of B required.

Now we require 2 units of the first nutrient for species A and one unit of the first nutrient for species B. The total nutrients required by species A is 2n₁ and that by species B is 1n₂ = n₂. So, the total nutrients required by both species A and B is 2n₁ + n₂. Since this equals the quantity of the first nutrient which is 10,560, then 2n₁ + n₂ = 10,560 (1)

Now we require 5 units of the second nutrient for species A and 6 units of the second nutrient for species B. The total nutrients required by species A is 5n₁ and that by species B is 6n₂. So, the total nutrients required by both species A and B is 5n₁ + 6n₂. Since this equals the quantity of the first nutrient which is 31,510, then 5n₁ + 6n₂ = 31,510 (2).

So, we have two simultaneous equations which we would solve to find the populations of A and B which satisfy both equations.

2n₁ + n₂ = 10,560 (1)

5n₁ + 6n₂ = 31,510 (2)

From (1) n₂ = 10,560 - 2n₁ (3)

Substituting equation (3) into (2), we have

5n₁ + 6(10,560 - 2n₁) = 31,510

expanding the brackets, we have

5n₁ + 63,360 - 12n₁ = 31,510

collecting like terms, we have

5n₁ - 12n₁ = 31,510 - 63,360

simplifying, we have

- 7n₁ = -31,850

dividing both sides by -7, we have

n₁ = -31,850/-7

n₁ = 4,550

Substituting n₁ = 4,550 into (3), we have

n₂ = 10,560 - 2(4,550)

n₂ = 10,560 - 9,100

n₂ = 1,460

So, we require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

3 0

2 years ago