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zysi [14]
3 years ago
11

Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs

Mathematics
2 answers:
BabaBlast [244]3 years ago
7 0

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

liq [111]3 years ago
5 0

Answer: What is the

Step-by-step explanation:

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Answer:

8.944271909999

Step-by-step explanation:

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2 years ago
Read 2 more answers
Three prime numbers that can be multiplied to get 825
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Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

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5/6 × 6 = 5 so 5/6 times 12= 10 
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3 years ago
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Solve For Each Variable.
bixtya [17]

The first equation given 6=1-2n+5

We have to add 1 and 5 to the right side first. We will get,

6= 6 - 2n

To get rid of 6 from the right side we have to subtract 6 from both sides.

6-6 = 6-6-2n

6-6 = -2n

0=-2n

To find n we have to move -2 to the other side by dividing both side by -2.

0/-2 = -2n/-2

0= n

n=0

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

8x-2 = -9+7x

First we have to move 7x to the left side by subtracting it from both sides.

8x-7x-2 = -9+7x-7x

8x-7x-2 = -9

x-2 = -9

Now we have to move -2 to the right side by adding 2 to both sides.

x-2+2 = -9+2

x = -9+2

x = -7

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

-8 = -(x+4)

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

8=x+4

Now we have to move 4 to left side by subtracting it from both sides.

8-4 = x+4-4

8-4 = x

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So we have got the required answer .

The solution is x = 4.

3 0
3 years ago
-2=k. 2 = k·1=k<br> Solve the equation.<br> Enter your answer in the box.<br> k=
Gekata [30.6K]

Answer:

k=-1

Step-by-step explanation:

-2=k. 2

Diving whole equation by 2

-2/2=k

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5 0
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