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3 years ago

Alex buys 2 1/2 pounds of grapes. He buys 1 1/4 times as many pounds of apples as grapes. How many pounds of apples does he buy?

2 answers:

6 0

Grapes = 2 1/2 pounds = 5/2 pounds
Apples = 1 1/4 times grapes = 5/4 times grapes

Apples = 5/4 * 5/2 = 25/8 pounds = 3 1/8 pounds

rusak2 [61]3 years ago

4 0

So if, <span>2 1/2 = 5/2 and 1 1/4 = 5/4,
then </span>5/2 * 5/4 = 5*5 / 2*4 <span>= 25/8 is simplified to 3 1/8 pounds.</span>

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Beth writes a number that shows 60 parts out of 100

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Decimal 0.60
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3 years ago

Pratap Puri rowed 14 miles down a river in 2 hours, but the return trip took him 3 and one half hours. Find the rate Pratap can

SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

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2 years ago

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34kurt

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3 0

3 years ago

Read 2 more answers

Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of

kari74 [83]

Answer:

<h2>Amanda needs 72 grams of paint</h2>

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

$24 \times \frac{24}{8}= 72 \ grams$

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

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3 years ago

10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

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3 years ago