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jeka57 [31]
3 years ago
10

Whats 8 2.5% of 75?Write your answer as a decimal.​

Mathematics
2 answers:
nata0808 [166]3 years ago
7 0
Fraction =
7
8

Decimal =
0.875

Explanation:
The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won't stagger when you see these type of questions in exams (like the SAT).
Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.
What
=
Any variable like
x

Percent / Percentage / %
=
Divide by 100
of
=
Multiply
is
=
Put an equal to (
=
) sign
I'll give you an example through a question.
What percent of 200 is 5?
Ans: Replace English words by mathematical tools according to the rules I told you.
x
( What) /100 ( percent)
×
( of) 200
=
( is) 5
In a refined form,
x
100
×
200
=
5

Calculate x. On calculating, x comes out to be
2.5

So, 2.5 percent of 200 is 5.
Now your question is actually very simple if you follow my rules.
You want 87.5%. By the rules, % means divided by 100. So
87.5
%
=
87.5
100
and now using the same strategy, Ans:
875
1000

Disregard the next section if you know how to convert a decimal to a fraction
Section Starts
First, I'll write the decimal form. Whenever you divide by a number that is in form of 1 followed by
n
number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.
In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.
This is the answer in decimal point.
Now simultaneously, I'll teach you how to convert a decimal into a fraction.
Here, you see 2 types of "numbers". One to the left side of the decimal point and one to the right side of the decimal point.
Here, left side of decimal point is 0 and right side of decimal point is 875.
Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)
Remove the decimal point and divide the number by a number formed by 1 followed by the "digits" we obtained (i.e. 3).
So, 875/1000. Simplify this, and you get your answer.
Katena32 [7]3 years ago
4 0
216 % hope this helps !!
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4 years ago
Find all roots x^3 + 7x^2 + 12x = 0
babunello [35]

Answer:

Therefore the THREE roots are

x=0\ or\ x=-3\ or x=-4

Step-by-step explanation:

Given:

x^{3}+7x^{2} +12x= 0

To Find:

All  the Roots = ?

Solution:

As the degree of the polynomial is THREE then the number of root are also THREE.

x^{3}+7x^{2} +12x= 0\\\\x(x^{2}+7x +12)= 0\\\\x=0\\or\\x^{2}+7x +12= 0\\

Now one root is Zero For other we need to Factorize

So by Splitting the middle term

i.e Factor of 12 such that sum should be 7

i.e 3 × 4 = 12  and 3 + 4 = 7

∴ x^{2}+7x +12= 0\\x^{2}+3x+4x +12= 0\\x(x+3)+4(x+3)=0\\(x+3)(x+4)=0\\\\x+3=0\ or\ x+4 = 0\\\\\therefore x=-3\ or x=-4\ \textrm{Which are the roots}

Therefore the THREE roots are

x=0\ or\ x=-3\ or x=-4

8 0
3 years ago
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What number can divide
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2 years ago
A sample of 46 oil industry executives was selected to test a questionnaire. One question about environmental issues required a
jeka94

Answer:

a. 37 people respond "Yes"

b. 29 people respond "Yes"

c. 28 people respond "No"

Step-by-step explanation:

There was a sample of 46 oil industry executives who are selected for a questionnaire. There are total 46 executives so total number of answer will be either 46 or lesser. The questionnaire responses cannot be greater than 46. The possible responses can be 37 or 29 people responses "Yes" or 28 executive responses "No"

3 0
3 years ago
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