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3 years ago

5a-z=8 -2a+5z =-6 What is the answer

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer:

122 = 7(z + 8) + -5(6 + z) >z = 48

Step-by-step explanation:

122 = 7(8 + z) + -5(6 + z)

122 = (8 * 7 + z * 7) + -5(6 + z)

122 = (56 + 7z) + -5(6 + z)

122 = 56 + 7z + (6 * -5 + z * -5)

122 = 56 + 7z + (-30 + -5z)

Reorder the terms:

122 = 56 + -30 + 7z + -5z

Combine like terms: 56 + -30 = 26

122 = 26 + 7z + -5z

Combine like terms: 7z + -5z = 2z

122 = 26 + 2z

Solving

122 = 26 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.

122 + -2z = 26 + 2z + -2z

Combine like terms: 2z + -2z = 0

122 + -2z = 26 + 0

122 + -2z = 26

Add '-122' to each side of the equation.

122 + -122 + -2z = 26 + -122

Combine like terms: 122 + -122 = 0

0 + -2z = 26 + -122

-2z = 26 + -122

Combine like terms: 26 + -122 = -96

-2z = -96

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Musa invest R1000 on a simple interest at a rate of 8% per annum for 3 years.How much money will be in his account by the end of

Serjik [45]

Answer:

Step-by-step explanation:

1000*(1+8:100)^3=1000*1 ,08^3=1000*1,259712=1259,712

8 0

3 years ago

How many lb of brand X sugar which

Dafna1 [17]

Answer: <u>4 pounds</u> of brand X sugar

====================================================

Reason:

n = number of pounds of brand X sugar

5n = cost of buying those n pounds, at $5 per pound

Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.

5n+16 = total cost of brand X and brand Y combined

n+8 = total amount of sugar bought, in pounds

3(n+8) = total cost because we buy n+8 pounds at $3 per pound

The 5n+16 and 3(n+8) represent the same total cost.

Set them equal to each other. Solve for n.

5n+16 = 3(n+8)

5n+16 = 3n+24

5n-3n = 24-16

2n = 8

n = 8/2

n = 4 pounds of brand X sugar are needed

-------------

Check:

n = 4

5n = 5*4 = 20 dollars spent on brand X alone

16 dollars spent on brand Y mentioned earlier

20+16 = 36 dollars spent total

n+8 = 4+8 = 12 pounds of both types of sugar brands combined

3*12 = 36 dollars spent on both types of sugar brands

The answer is confirmed.

--------------

Another way to verify:

5n+16 = 3(n+8)

5*4+16 = 3(4+8)

20+16 = 3(12)

36 = 36

6 0

2 years ago

Tara wants to weigh her three stuffed animals. They will only fit on the scale two at a time. Together Addie and Missy weight 18

Pepsi [2]

Answer: Addie weighs 4 ounces

Missy weighs 14 ounces

Corky weighs 8 ounces

Step-by-step explanation:

Let a represent the weight of Addie.

Let m represent the weight of Missy.

Let c represent the weight of Corky.

Together Addie and Missy weigh 18 ounces. This means that

a + m = 18 - - - - - - - - - 1

Missy and Corky weigh 22 ounces. This means that

m + c = 22

m = 22 - c - - - - - - - - - - 2

Addie and Corky weigh 12 ounces. This means that

a + c = 12

a = 12 - c - - - - - - - - - - - 3

Substituting equation 2 and equation 3 into equation 1, it becomes

22 - c + 12 - c = 18

34 - 2c = 18

- 2c = 18 - 34 = - 16

c = - 16/ - 2 = 8

Substituting c = 8 into equation 2, it becomes

m = 22 - 8

m = 14

Substituting c = 8 into equation 3, it becomes

a = 12 - 8

a = 4

3 0

3 years ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –3 and y = –2?

Dovator [93]

Answer:

6 =k

Step-by-step explanation:

Given the equation for inverse variation

xy = k

We know x=-3 and y = -2

Substituting these values in

(-3) (-2) = k

6 =k

7 0

4 years ago

Read 2 more answers

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Reil [10]

there seem to be pictures missing. can you reload the page without losing progress?

5 0

3 years ago