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3 years ago

12

A manufacturer samples 100 wires for quality testing. 4 wires were found defective. if 750 were produced in 1 hour how many shou

ld the manufacturer expect to be defective

1 answer:

Andreyy893 years ago

8 0

30 wires would be defective

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Simplify the expression 3/2 (5/3) -1 1/4 + 1/2 Given the answer as a simplified fraction. The simplified expression is a/b.

ella [17]

<h2>Hello!</h2>

The answer is:

The simplified fraction is:

$\frac{7}{4}$

<h2>Why?</h2>

To solve this problem we must remember the following:

- Addition or subtraction of fractions, we add or subtract fractions by the following way:

$\frac{a}{b}(+-)\frac{c}{d}=\frac{ad(+-)bc}{bd}$

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

$\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}$

- Convert mixed number to fraction,

$a\frac{b}{c}=a+\frac{b}{c}=\frac{ac+b}{c}$

So, solving we have:

$\frac{3}{2}*\frac{5}{3}-1\frac{1}{4}+\frac{1}{2}=\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}\\\\\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}=\frac{15}{6}-(\frac{4+1}{1*4})+\frac{1}{2}\\\\\frac{15}{6}-(\frac{4+1}{4})+\frac{1}{2}=\frac{15}{6}-\frac{5}{4}+\frac{1}{2}$

$\frac{15}{6}-\frac{5}{4}+\frac{1}{2}=(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}\\\\(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}=(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}\\\\(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}=(\frac{20-10}{8})+\frac{1}{2}\\\\(\frac{20-10}{8})+\frac{1}{2}=(\frac{10}{8})+\frac{1}{2}\\\\(\frac{10}{8})+\frac{1}{2}=\frac{5}{4}+\frac{1}{2}\\\\\frac{5}{4}+\frac{1}{2}=\frac{(5*2)+(4*1)}{2*4}\\\\\frac{(5*2)+(4*1)}{2*4}=\frac{10+4}{8}=\frac{14}{8}\\\\\frac{14}{8}=\frac{7}{4}$

Hence, the simplified fraction is:

$\frac{7}{4}$

Have a nice day!

8 0

2 years ago

Read 2 more answers

Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive

Vera_Pavlovna [14]

3/8 of a pizza.

If you divide each pizza into eight parts, each member would receive 1/8 of one pizza. Since there are three pizzas, each member would receive three 1/8 of a pizza, or 3/8.

You can prove this answer by multiplying 3/8 by 8, to get 24/8 simplified to 3.

4 0

3 years ago

Which expression is equivalent to 108 - 58 + 8 + 69 +47

Furkat [3]

Answer:

5f+6g+12

Step-by-step explanation:

Combine like terms

10f-5f = 5f

6g

8+4 = 12

5f+6g+12

8 0

2 years ago

Read 2 more answers

SOMEONE PLEASE ANSWER ASAP THIS FOR BRAINLIEST!!!!

kirill115 [55]

wow the answer is not listed on option

3 0

2 years ago

The difference of the product of 3 and m<br> minus the quotient of m divided by 2<br> m=6

s2008m [1.1K]

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

5 0

2 years ago