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Viefleur [7K]
2 years ago
15

I need help on my makeup work numbers 4-6

Mathematics
2 answers:
Triss [41]2 years ago
7 0

7/8 = 0.875

7/15 = 0.46

4 3/25 = 4.12

Marina86 [1]2 years ago
7 0

For problems 4-6, there's a certain method that's preferable for converting decimals to fractions. Here's how to do it:

To begin, you take the decimal and input it as the numerator. As for the denominator, you use 1. Next, you multiply the numerator & the denominator by 100. It doesn't always need to be 100, it can be 1000, you just need to get the decimal over far enough to where there's no remaining decimal in the numerator. However, often times it'll be 100. After you have the whole number as a numerator and 100 as the denominator, you reduce the fraction to get the final answer. So, let's put this method to use.

For problem 4, the decimal is 0.45. So, that becomes the numerator.

0.45/1

Then, multiply by 100.

45/100

Now, reduce (simplify). I assume you already know how to simplify, but in case you don't, I'll extend on it. To simplify, you need to find the greatest common factor (GCF). The GCF is a number that'll go into both the numerator and the denominator.

So, for this the GCF is 5. 45/5 = 9 and 100/5 = 20. Your answer for #4 = 9/20.

Now, let's solve for #5. For this one, 1000 will be your better option to multiply by due to the fact that there's 3 decimal places in the numerator.

0.125/1 x 1000 = 125/1000.

If you divide the numerator and denominator by 125, you'll reduce it to 1/8. Therefore, the answer to #5 is 1/8.

Lastly, we can solve for #6. This is where it gets tricky. When the decimal begins with a number in the tens place, you know it'll be a mixed number. So, 6.04 = 6 and 4/100. However, you can continue to reduce to have a final answer of 6 & 1/25.

If you need more examples or more help, let me know.


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Use the substitution method to solve the system of equations choose the correct ordered pair
Gekata [30.6K]

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

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