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3 years ago

What is the answer to the problem (74x-47y)-(68x+21y)

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

(74x-47y)-(68x+21y)
Add like-terms.
74x - 68x = 6x
-47y-(21y) = -68y
Your final answer is 6x-68y.

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Drinking 8 fluid ounces of milk provides 270.0 milligrams of calcium. How many fluid ounces of milk provide 72.5 milligrams of c

Margarita [4]

Set up a proportion:

$\frac{8}{270} = \frac{x}{72.5}$

The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.

Simplify the first fraction to make multiplication easier:

$\frac{8}{270} \div \frac{2}{2} = \frac{4}{135}$
$\frac{4}{135} = \frac{x}{72.5}$

Cross multiply the fractions:

$72.5 * 4 = 290$
$135x = 290$

Divide both sides by 135 to get x by itself:

$290 \div 135 = 2.1$
$x = 2.1$

2.1 fluid ounces of milk provide 72.5 milligrams of calcium.

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3 years ago

Read 2 more answers

Hector collects golf balls at a driving range. each bucket holds 39 golf balls. if hector has 43 buckets to fill, estimate how m

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There are 1677 golf balls to fill all the buckets. Hope it help!

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3 years ago

Factorize : y^3 -2y^2 -29y -42

AVprozaik [17]

Answer: $(y-7)(y+3)(y+2)$

Step-by-step explanation:

$y^{3} -2y^{2}-29y-42\\\\(y^{2}-4y-21)(y+2)\\\\(y-7)(y+3)(y+2)\\\\$

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3 years ago

Pratap puri rowed 10 miles down a river in 2 hours, but the return trip took him 2 and one half hours. Find the rate pratap can

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Answer:

Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.

Step-by-step explanation:

Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.

We know that, $Speed = \frac{Distance}{Time}$

So, the speed of Pratap with the current will be: $(\frac{10}{2})miles/hour = 5$ miles/hour

and the speed of Pratap against the current will be: $(\frac{10}{2.5})miles/hour = 4$ miles/hour.

Suppose, the rate of Pratap in still water is $x$ and the rate of current is $y$ .

So, the equations will be........

$x+y= 5 .............................. (1)\\ \\ x-y=4 .............................. (2)$

Adding equation (1) and (2) , we will get......

$2x=9\\ \\ x=\frac{9}{2}= 4.5$

Now, plugging this $x=4.5$ into equation (1), we will get.....

$4.5+y=5\\ \\ y=5-4.5 =0.5$

Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.

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3 years ago

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