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SVEN [57.7K]
3 years ago
13

What is the ratio of a : b, knowing that a — b = 3 a + b = 5

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

4:1

Step-by-step explanation:

a — b = 3

then a= 3+b

a + b = 5

3+b +b = 5

3+2b=5

2b=5-3

2b=2

b=1

a= 3+b

a=3+1=4

a:b= 4:1

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Samuel helps his brother paint walls during his summer vacation he charges $10 for the first room and $5 for each additional roo
Delicious77 [7]

10+5x=50
subtract ten from both sides
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divide five from both sides
x=8
samuel will need to paint 8 additional rooms
5 0
3 years ago
Determine the slope <br><br> 2y-4x=1
Maurinko [17]

Answer:

2

Step-by-step explanation:

The equation is mx+b=y

The equation is not simplified yet.

2y-4x=1

Add 4x to both sides

2y=1+4x

Divide by 2

1/2+2x

For this just identify. M=slope. The number next to the x is 2. So the answer is 2

3 0
3 years ago
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A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu
Svetlanka [38]

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0
2 years ago
(4x+3)+(×-2)+(4x+3)+(x-2)
ahrayia [7]
4x + 3 + x - 2 +4x +3 +x - 2
5x + 1 + 4x + 3 + x - 2
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10x + 2

6 0
3 years ago
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Jason has already used 4/12 cans of paint while painting furniture. He is painting chairs which each use 10/6 cans of paint.
Lady bird [3.3K]

Answer:

Based off of the calculations I did, I got 32 as the answer.

Step-by-step explanation:

Jason uses 10/6 of the paint for each chair he paints and according to the question, there are 19 chairs.

So we multiply these two numbers to get the amount of paint used after painting all 19 chairs.

10/6 * 19 = 31.666...

Then we add the previous amount Jason used for painting the furniture to the total amount of paint used after painting the 19 chairs.

31.666... + 4/12 = 32.

Thus, Jason used 32 cans of paint in total.

5 0
2 years ago
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