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3 years ago

11

Kevin spent 10 hours doing homework last week. This week he spent 15 hours doing homework. He says that he spent 150% more time

doing homework this week. Is he correct? Show your work to justify your decision.

1 answer:

agasfer [191]3 years ago

6 0

No he is wrong because 75% more time would be spent doing homework

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Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals

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The two diagonals intersects at right-angle for a kite

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3 years ago

Find the x- and y-intercepts of the graph of each equation. (set x & y equal to 0; two different

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3 years ago

Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3

xxMikexx [17]

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

$\frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$= \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} }$

$= \frac{ {( \sqrt{5} + \sqrt{3} ) }^{2} }{( \sqrt{5} - \sqrt{3} )( \sqrt{5} + \sqrt{3}) }$

$= \frac{ {( \sqrt{5} )}^{2} + 2( \sqrt{5} )( \sqrt{3}) + {( \sqrt{3}) }^{2} }{ {( \sqrt{5}) }^{2} - { (\sqrt{3} )}^{2} }$

$= \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}$

$= \frac{8 + 2 \sqrt{15} }{2}$

$= 4 + \sqrt{15}$

3 0

3 years ago

How many 1/3 liters are in 4 2/3 liters

jonny [76]

Answer:

14

Step-by-step explanation:

This is a division problem.

We want to find how many 1/3 liters are in 4⅔ liters.

We divide to obtain:

$\frac{4 \frac{2}{3} }{ \frac{1}{3} }$

Or

$4 \frac{2}{3} \div \frac{1}{3}$

Convert to improper fraction.

$\frac{14}{3} \div \frac{1}{3}$

$\frac{14}{3} \times \frac{3}{1}$

This simplifies to

$14$

Therefore there are fourteen ⅓ liters in 4⅔ liters

5 0

3 years ago