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34kurt
2 years ago
13

Solve the equation for all real solutions.

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Can you reformat the question?

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Solve 10 over 8=n over 10
Vikki [24]
10/8 = n/10

First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.

Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.

10 \div 2 = 5 \\ 8 \div 2 = 4

We can now rewrite our fraction in the simplified form which is 5/4.

Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
\frac{5}{4} \times 10 = n

Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
\frac{50}{4} = n

Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4). 

Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4

Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.

Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.

50 \div 2 = 25 \\ 4 \div 2 = 2

We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.

Answer in fraction form: \fbox {n = 25/2}
Answer in decimal form: \fbox {x = 12.5}
6 0
3 years ago
A mountain climber ascends 800 feet per hour from his original position. After 6 hours, his final position is 11,600 feet above
coldgirl [10]
<span>To find the beginning position, we need to know how many feet the climber has ascended in the 6-hour time frame. At the rate of 800 feet per hour, this would total to 4,800 feet in 6 hours (800 * 6). Subtracting this amount from the final position would give the elevation at the beginning of the ascent: (11600 - 4800) = 6,800 feet above sea level to begin.</span>
5 0
3 years ago
Which uses a logarithmic scale?
gregori [183]

Answer: Richter Scale

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
Lelu [443]

Answer:

\frac{n^{2}}{2a}

Step-by-step explanation:

  • Just split it up first \frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}
  • Then 9 divided by 18 can be simplified into the fraction 1/2
  • What can go into a and a^2 ? a itself right, so if you divide a by a you get 1, if you divide a^2 by a you get a
  • Same as the a fraction, if you divide n^3 by n you get n^2
  • \frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}
4 0
3 years ago
Read 2 more answers
Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?
castortr0y [4]
8% of x = $18.80
x = 18.80/8%
x = 18.80/0.08
x = $235
8 0
3 years ago
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