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3 years ago

7

Sally can paint a room in 5 hours while it takes Steve 3 hours. How long would it take them to paint if they worked together

2 answers:

Stella [2.4K]3 years ago

6 0

It would be 8 hours because you are adding 5 and 3 to get a total

diamong [38]3 years ago

5 0

Answer: it will take them 1.875 hours to paint if they worked together

Step-by-step explanation:

Sally can paint a room in 5 hours. This means that in 1 hour, 1/5 of the room. Her unit rate is 1/5

Steve 3 hours to paint the same room. It means that his unit rate per hour is 1/3

If they work together, it would take a lesser time because they would be working simultaneously and at their individual rates. It means that their rates are additive. Their combined individual rate will be 1/5 + 1/3

Assuming they worked together and finished the painting in t hours, their combined rate per hour will be 1/t. Therefore

1/5 + 1/3 = 1/t

3 + 5/15 = 1/t

8/15 = 1/t

8t =15

t = 15/8 = 1.875 hours

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aleksley [76]

11 15/26 + [-17 5/13] =

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To subtract two fractions the denominators should be same

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Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bou

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Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let $x$ denotes number of blankets and $y$ denotes number of pillows.

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$16x+10y=120$

Divide this equation by 2.

$8x+5y=60\,\,...(i)$

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Multiply this equation by 5.

$5x+5y=45\,\,...(ii)$

Subtract $(ii)$ from $(i)$

$3x=15\\x=5$

Put $x=5$ in $x+y=9$

$5+y=9\\y=9-5\\y=4$

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

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2 years ago

If sin theta =3/7 and tan theta <0 what is the value of cos theta

Savatey [412]

Remember that

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

So if $\sin\theta>0$ and $\tan\theta$ , then we know $\cos\theta$ .

Then use the Pythagorean identity to solve for cosine:

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Neporo4naja [7]

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3 years ago

Read 2 more answers