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Korolek [52]
4 years ago
15

How to figure out problems like 54 is 75% of.....

Mathematics
1 answer:
lina2011 [118]4 years ago
7 0

You have to learn ho to translate some common words into algebraic expressions and equations.

Here are a few:

<u>"is" means "equals".</u> 
When you see "is", write an 'equals sign.  (  =  ).

<u>"of" means "times".</u> 
When you see "of", write 'times' or whatever symbol you like to use for it.

<u>"percent" or the symbol " % " means "divided by 100"</u>.
When you see (a number) with 'percent' or ' % ' after it,
write (the number) 'divided by 100'.

A <u>fraction-bar ( / )</u> and <u>'divided by'</u> mean the same thing.
When you see either one, you can always write the other one if you want to.
Examples:
                  ' 1 divided by 2 ' means  1/2 .

                 47/54 means ' 47 divided by 54 '. 

Now we're ready to look at the example in your question:

                        54  is  75%  of  (answer) .

Translation:    54  =  75/100  times (answer)

Now you have an equation. Go to work !  Manipulate it so that
you have (answer) on one side of the equation, and everything else
on the other side.  You can do anything you want to one side of the
equation, but the rule is that whatever you do to one side, you must
immediately do exactly the same thing to the other side.
Here's how it works:

                       54  =  75/100  times (answer)

Multiply each side by 100 :    5400  =  75 times (answer)

Divide each side by 75 :        5400 / 75  =  answer

Do the division for the fraction, and you have    <em>72 = answer</em>


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Solve the proportion below. 7/x=19
alexgriva [62]

Answer:

The value of x is approximately 0.3684.

Step-by-step explanation:

Given:

\frac{7}x}=19

We need to solve the proportion.

Solution:

Now we can see that;

In given equation one number is fraction and other number is whole number.

Now To make whole number into fraction we will divide by 1.

hence the whole number will be equal to;

19=\frac{19}{1}

Now the new equation will be;

\frac{7}{x}=\frac{19}{1}

Now by cross multiplication we get;

7\times1=19\times x\\\\7=19x

Now dividing both side by 19 we get;

\frac{7}{19}=\frac{19x}{19}\\\\x\approx0.3684

Hence the value of x is approximately 0.3684.

6 0
4 years ago
Are these proportional?
Hitman42 [59]

Step-by-step explanation:

2:3 and 4:6 is proportional because if you simplify 4:6 it will equal 2:3.

1:4 and 6:18 is not proportional because if you simplify you would not get 1:4.

3:5 and 1:3 is not proportional because you can't simplify it any further and they do not equal each other.

2:5 and 8:20 is proportional because if you take 2:5 and multiply each number by 4 you would get 8:20.

4:9 and 12:27 is proportional because you can simplify 12:27 and get 4:9.

6:15 and 2:5 is proportional because you can multiply 2:5 by 3 and get 6:15.

6 0
3 years ago
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
What is the slope of 3,2 -1,2​
Alex777 [14]

Answer: m = 0

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3 0
3 years ago
Ahmad is planning a trip to Hawaii. It will cost him $400 to fly there and $40 per night to stay in a motel. He wants to spend n
amid [387]

Answer:

8 nights 8/32 = 4 there was 400 left over after spending 320 on hotel reverse of spending 400 on airfare

Step-by-step explanation:

6 0
3 years ago
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