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zmey [24]
4 years ago
6

What is 8 3/4% expressed as a fraction? 8/100 7/80 7/40 8/25

Mathematics
1 answer:
Lelu [443]4 years ago
5 0
ANSWER:

7 / 80

8 3/4% expressed as a fraction is 7 / 80.

STEP-BY-STEP EXPLANATION:

Write 8 3/4% as a percentage with a decimal:

= 8.75%

Convert 8.75% to a fraction:

= 8.75% ÷ 100

= 8.75 / 100

Make the numerator a whole number by multiplying both the numerator and denominator by a 100:

= ( 8.75 × 100 ) / ( 100 × 100 )

= 875 / 10000

Divide the numerator and denominator in the fraction by their highest common factor ( HCF ):

HCF = 125

THEREFORE:

= ( 875 ÷ 125 ) / ( 10000 ÷ 125 )

= 7 / 80
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A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a la
Deffense [45]

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

6 0
3 years ago
What is the solution to the equation √8x = √4+2x?
elena-s [515]

Answer and Step-by-step explanation:

<u>The first step in solving for x is to square both sides.</u>

8x = 4 + 2x

<u>Now, subtract 2x from both sides.</u>

6x = 4

<u>Now, divide each side by 6.</u>

x = \frac{4}{6}  = \frac{2}{3}

<u>x = </u>\frac{2}3}<u> is the answer.</u>

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8 0
3 years ago
Given that y varies inversely with x, and y = 100 when x + 3, find x if y = 60
faust18 [17]

Step-by-step explanation:

xy = k, where k is a real constant.

y = 100 when x = 3, therefore (3)(100) = k.

=> k = 300.

Hence when y = 60, x(60) = (300), x = 5.

5 0
3 years ago
Read 2 more answers
Which savings account will earn you the most money?
Tcecarenko [31]

Answer:

One that compound interest daily.

Step-by-step explanation:

The account that compound interest daily earn us more money because the interest calculated in this type of account is on daily basis. so we get more money compare to other accounts.

                              And in this type of account we get interest on the interest amount also on the daily basis. So we get more amount on this type of account other than the other accounts. so these account are the best for interest purposes

8 0
3 years ago
Gant Accounting performs two types of services, Audit and Tax. Gant’s overhead costs consist of computer support, $267000; and l
Dahasolnce [82]

Answer:

$240,300

Step-by-step explanation:

Given :

Overhead cost :

Computer support = $267000

legal support = $133500

Overheads applied to audit services = (Number of CPU minutes used by Audit services * activity rate per CPU minute)

+

(number of legal hours used by Audit services * activity rate per legal hour)

The overhead applied to audit is thus :

40,000 * (267,000 / (40,000 + 10,000)) +

200 * (133500 / (200 + 800)

(40000 * 5.34) + (200 * 133.5)

= $240,300

7 0
3 years ago
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