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gladu [14]
3 years ago
7

Convert 3/8 to a decimal and percent but pls explain how you guys get 375 pls ;-;

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0
You just divide 3 by 8. when 3 is inside the "house" and 8 is outside, 8 doesn't go into 3 so move on and 8 goes into 30 3 times. and so forth. 30-24=6 bring down the 0. 8 goes into 60 7 times. the decimal is 0.375. the percent is 37.5%.
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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
3 years ago
What single decimal multiplier would you use to increase by 7% followed by a 4% decrease?
Nostrana [21]

Answer: To increase an amount by 7%, you would want to use 1.07 as the multiplier. To decrease it, you would use 0.93

Step-by-step explanation:

4 0
3 years ago
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?
sertanlavr [38]

y = ( 48 *2 ) / 6

Step-by-step explanation:

If y varies directly as x they are directly proportional, which means they relate to each other in the same way....

2 : y = 6: 48

what is y if x = 2?

The value of y can be found if you write it a two fracrions

2 : y = 6 : 48

2 / y = 6 / 48

cross multiply the fractions gives

6*y = 48 *2

divide left and right of the = sign by 6 gives the answer:

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

Other method:

multiply left and right of the = sign by y

2 * y/y = y *6 / 48

6y / 48 = 2 * 1

multiply left and right of the = sign by 48

6y * 48/48 = ( 48 *2 )

6y = ( 48 *2 )

divide left and right of the = sign by 6

6/6* y = ( 48 *2 )/6

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

4 0
3 years ago
PLEASE HELP
igomit [66]

Answer:

20 hours.

Step-by-step explanation.

The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.

5 0
3 years ago
In AABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of
sergij07 [2.7K]

Answer:

<h3>35</h3><h3 />

Step-by-step explanation:

see attached image.

perimeter of trapezoid = sides (6 + 8 + 5 + 8 + 8)

                                     = 35

8 0
3 years ago
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