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faust18 [17]
3 years ago
9

Solve the proportion. Show your work. 3/(x + 1) = 5/11

Mathematics
2 answers:
9966 [12]3 years ago
7 0
3/(x +1) = 5/11
(x + 1)/3 = 11/5
x + 1 = 33/5
x = 33/5 - 1
x = 28/5 = 5 3/5
Lemur [1.5K]3 years ago
7 0

Answer: x=5\frac{3}{5}

Step-by-step explanation:

The given proportion : \frac{3}{(x+1)}=\frac{5}{11}\\\\\text{Multiplying both sides by 11 (x+1), we get}

\frac{3}{(x+1)}\times11(x+1)=\frac{5}{11}\times11(x+1)\\\\\Rightarrow\ 33=5(x+1)\\\\\Rightarrow\ 33=5x+5\\\\\text{Subtract 5 on both sides, we get}\\\\\Rightarrow\ 5x=33-5\\\\\Rightarrow\ 5x=28\text{Dividing 5 on both sides, we get}\\\\\Rightarrow x=\frac{28}{5}\\\\\text{In mixed fraction}\\\\ x=5\frac{3}{5}

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Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
3 years ago
in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if t
dem82 [27]

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

5 0
2 years ago
Which of the following is equivalent to -9-√-36
LenKa [72]

Answer:

The answer to your question is:  -9 - 6i

Step-by-step explanation:

Process

\sqrt{-36} = \sqrt{(-1)(36)} = \sqrt{-1} \sqrt{36} = (6i)

= - 9 - (6i)

= -9 - 6i

3 0
3 years ago
Nick estimates that 50% of his income goes toward living expenses. Of the rest 50% goes to paying for his car and 25% of what is
Sergeeva-Olga [200]

Based on the amount that Nick is left with at the end of the month, the amount he earns is $2,400

<h3>What does Nick earn?</h3>

The amount of $300 that is left is 25% of 50% of Nick's income as the other 75% of the 50% went to paying for the car and other expenses.

25% of 50% is:

= 25% x 50%

= 12.5%

The amount Nick makes per month is:

= Amount remaining / Amount remaining in percentage terms

= 300 / 12.5%
= $2,400

Find out more on percentages at brainly.com/question/843074

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4 0
1 year ago
-1.84 - 2.3m= -2.3(m+.8)
alexira [117]

Answer:

m ∈ R

Step-by-step explanation:

- 1,84 - 2,3m = - 2,3(m + 0,8)

- 1,84 - 2,3m = - 2,3m - 1,84

m ∈ R

5 0
3 years ago
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