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antoniya [11.8K]
4 years ago
11

Simplify a)3/7×28/15÷14/5 b)7/8+1/16-1/12

Mathematics
1 answer:
netineya [11]4 years ago
5 0

Answer:

a)2/7

b)41/48

<em />

<em>Step-by-step explanation:</em>

<u>-Question A-</u>

1) Rephrase the problem to look like this:

3/7*28/15*5/14 <-- when dividing fractions you actually multiply by the reciprocal (opposite)

2) Multiply across the above phrase:

420/1470

3) Simplify your fraction:

2/7

There is nothing else to be done with 2/7 and thus it is your final answer.

<u></u>

<u>-Question B-</u>

1) Get the denominator of all 3 fractions to the same Least Common Denominator (48):

42/48 + 3/48 - 4/48

2) Do the arithmetic in the phrase above:

41/48

41/48 cannot be simplified and thus is your final answer

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In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reele
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<h2>405 people</h2>

Step-by-step explanation:

It is given that there are a total of 900 people.

It is given that 55% of the people will reelect.

So,it can be found that 100-55=45% of the people may not reelect or may not make their decision yet.

So,number of people that may not reelect or may not make their decision yet is \frac{45}{100}\times 900=405.

So,405 people haven't made their decision yet or not reelect.

6 0
4 years ago
Y = (25 - 2) (35 - 2).<br> Multiply the binomials.
Dima020 [189]

Answer:  y=759

Step-by-step explanation:

y = (25 - 2) (35 - 2)

y = (23) (33)

y = 759

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3 years ago
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3 years ago
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3 years ago
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you
lyudmila [28]

Answer:  1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= 10_P_4

= \frac{10!}{(10-4)!}

=  \frac{10!}{6!}

= \frac{10\times 9\times 8\times 7\times 6!}{6!}

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

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= \frac{11!}{(11-3)!3!}

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= 11 × 5 × 3

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3 years ago
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