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Xelga [282]
3 years ago
12

A car care company sells 45-in. Upholstery fabric for car restoration. Art bought 9 7/12 yd and 11 13/16 yd for two car projects

. How many yards did art buy?
Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

21\frac{19}{48}\ yards

Step-by-step explanation:

Art bought 9\frac{7}{12} and 11\frac{13}{16} yards of fabric.

Total fabric bought: 9\frac{7}{12} + 11\frac{13}{16}

To add both fractions, we convert them into improper fractions (multiply denominator with whole number, then add the numerator) and then we find the LCM of the two denominators: 12 and 16

LCM of 12 and 16 = 48

\frac{115}{12} + \frac{189}{16}\\\\\frac{460}{48} + \frac{567}{48}\\\\\frac{460 + 567}{48}\\\\\frac{1027}{48}

We reduce this fraction to mixed fraction (or reduce if possible), since 1027 and 48 have no common factors.

= 21\frac{19}{48} yards

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In the final quarter of 2011, a company received 32% of the total profit for all mobile phone manufacturers. If the total profit
Sav [38]

The total profit received for all mobile phone manufacturers for all carriers was 1.54 billion

Step-by-step explanation:

Given,

Profit received = 32%

Total profit received = $4.8 billion

Amount of profit received for mobiles = 32% of total profit

Amount received = \frac{32}{100}*4.8

Amount received = \frac{153.6}{100}

Amount received = 1.536 billion

Rounding off

Amount received = 1.54 billion

The total profit received for all mobile phone manufacturers for all carriers was 1.54 billion

Keywords: percentage, division

Learn more about percentage at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

3 0
4 years ago
In answering the following questions, assume that the angular acceleration is constant and nonzero: alpha not equal to zero.
Ronch [10]
I think the correct answer would be true. The quantity represented by theta is a function of time. This is because the rate of change of angular speed is constant which means the angular distance is changing with time. Hope this answers the question. Have a nice day.
8 0
3 years ago
X + 25/-8 = -6 Solve for x.<br> Simplify your answer as much as possible.
balandron [24]

Step-by-step explanation:

if there is nothing missing, we have

x + 25/-8 = -6

in order to compare or add or subtract fractions, we need to bring them all to the same denominator (bottom part).

remember, integer numbers are fractions too. like here

-6 = -6/1

25/-8 = -25/8

so, how can we bring -6/1 to .../8 ?

by multiplying 1 by 8.

but we cannot multiply only the denominator by 8. otherwise we would suddenly have

-6/8

and is -6/8 = -6/1 ? no, certainly not.

to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).

so, we actually do

-6/1 × 8/8 = -48/8

with this little trick we have now .../8 to operate with, and our transformed fraction has still the same value

-6/1 = -48/8 indeed.

so, we have

x + -25/8 = -48/8

x - 25/8 = -48/8

x = -48/8 + 25/8 = -23/8

3 0
2 years ago
If the sum of six consecutive even integers is 390 what is the smallest of the six integers
saveliy_v [14]
The answer is 60 but im going to explain it down below if you want to know how to do it :)

first because we dont know the values of the 6 numbers we have to lay it out like this.
x
x+2
x+4
x+6
x+8
x+10
-------- (then we add it together)
6x+30 = 390 (the sum of the 6 numbers)

using this equation we find out what x is 

so we do 390-30 to find what 6x is, which is 360
because now we know that 6x=360, we divide 360 by 6 to find out what x is
360 divided by 6 =60..... x = 60

so now we know that the smallest integer is 60
to check the answer we could add the 6 numbers which are:
60+62+64+66+68+70=390 :)

so the smallest integer is 60

5 0
4 years ago
What percent of 75.5 is 81.54
lutik1710 [3]
If you would like to know what percent of 75.5 is 81.54, you can calculate this using the following steps:

x% of 75.5 is 81.54
x% * 75.5 = 81.54
x/100 * 75.5 = 81.54
x = 81.54 * 100 / 75.5
x = 108%

Result: 108% of 75.5 is 81.54.
8 0
3 years ago
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