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sashaice [31]
3 years ago
7

Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent

ire marble collection did each friend get?
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = \frac{1}{2}

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = \frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas

= \frac{1}{3}\times\frac{1}{2}=\frac{1}{6}

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

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Write the standard form equation in vertex form. Classify the type of equation it is.
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The answer is in the red circle.

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Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together
Charra [1.4K]

Answer: 8 days.

Step-by-step explanation:

Given that Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job.

Since Anna has already worked for 1 day, she would have worked the remaining days for 3 days. But she is joined by Sylvia, and it takes them 2 days working together to finish the job.

That is,

1/3 + 1/S = 1/2

Where S is the number of days Sylvia to do the job being completed in 2 days.

1/S = 1/2 - 1/3

1/S = (3 - 2)/6

1/S = 1/6

S = 6

The job Anna would have done for 3 days, will take 6 days for Sylvia.

The 1 days used by Anna will be 2 days for Sylvia.

Therefore, the total days that will take Sylvia to do the whole job by herself will be 2 + 6 = 8 days

8 0
2 years ago
Suppose that $9000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from
AlekseyPX

Answer:

First year would be 9180 and the second year would be 9363.6

Step-by-step explanation:

I just take the interest 2% make it a decimal .02 and times that by 9000 which gives you 180 then just add that to the 9000 for the first year and then for the second take 9180 times .02 which gives you 183.6 and just add that too 9180 to get 9363.6

7 0
3 years ago
Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtim
abruzzese [7]

Answer:

  h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

  pay = 40r +(h -40)(1.5r) . . . . 40 hours at rate r + overtime (h-40) hours at 1.5r

  pay = 40r +1.5hr -60r . . . . . eliminate parentheses

  pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

  pay +20r = 1.5hr . . . . . . . . . . add 20r

  h = (pay +20r)/(1.5r) . . . . . . . . divide by 1.5r

For the given pay of 800 +240 = 1040, we have ...

  h = (1040 +20r)/(1.5r)

  h = 13.333 +693.333/r . . . . . simplify to 2 terms

_____

<em>Additional comments</em>

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.

6 0
3 years ago
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