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jeka57 [31]
3 years ago
13

A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo

ut 1.5 h. How long would it take the apprentice to make a set of glasses when working alone?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

6 hours.

Step-by-step explanation:

Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.  

Part of work completed by apprentice in one hour would be \frac{1}{t}.

We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be \frac{1}{2}.

While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be \frac{1}{1.5}.

Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:

\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}

\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t

3+\frac{3}{2}\cdot t=\frac{3t}{1.5}

3+1.5\cdot t=2t

3+1.5t-1.5t=2t-1.5t

3=0.5t

\frac{3}{0.5}=\frac{0.5t}{0.5}

6=t

Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.

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Step-by-step explanation:

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2 years ago
Helen got a 7% reduction in the price of a pair jeans that are normally $32. What is the approximate percent in the price?
adoni [48]

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

Learn more about Percentages:

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7 0
1 year ago
Help with a pre-calc question? I'll mark the Brainliest if you explain your answer.
anzhelika [568]

Answer:

It has none. Angle A is obtuse, so it would have to be opposite the longest side. If side a is opposite angle A, then that is not the case.

Step-by-step explanation:

3 0
3 years ago
I’ll mark you as a brain list please help
pochemuha

Answer:

just ignore this whole thing

3 0
2 years ago
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100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported
Setler79 [48]

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

<em>Firstly figure out the coordinate of your school and school. Then use formula of distance.</em>

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

d =  \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

~ Put all values.

d =  \sqrt{ {(5 - 7)}^{2}  + ( {0 - 7)}^{2} }

~ Simplify it.

d =  \sqrt{ {( - 2)}^{2}  +  {( - 7)}^{2} }

d =  \sqrt{4 + 49}

d =  \sqrt{53}

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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3 years ago
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