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Ostrovityanka [42]
3 years ago
15

A rectangular prism has a length of 1514 centimeters, a width of 8 centimeters, and a height of 214 centimeters. Enter the volum

e of the prism as a mixed number in simplest form in the box.
Mathematics
2 answers:
vichka [17]3 years ago
7 0
Hewwo dere fello citizen, The answer is 274 1/2cm! Rate me five stars and meow! :3
Olenka [21]3 years ago
7 0

Answer:

Volume=274\frac{1}{2}cm^3

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula;

Volume=l\times w\times h

where l=15\frac{1}{4}cm is the length, w=8cm is the width, and h=2\frac{1}{4}cm is the height of the rectangular prism.

We substitute these values into the formula to obtain;

Volume=15\frac{1}{4}\times 8\times 2\frac{1}{4}

Change the mixed numbers to improper fraction

Volume=\frac{61}{4}\times 8\times \frac{9}{4}

Simplify;

Volume=\frac{549}{2}

Volume=274\frac{1}{2}cm^3

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During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par
storchak [24]
We can set it up like this, where <em>s </em>is the speed of the canoeist:

\frac{18}{s} + \frac{4}{s-5} = 3

To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):

s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s

If we rearrange this, we can turn it into a quadratic equation and factor:

18s - 90+4s=3 s^{2} -15s \\ 22s-90=3 s^{2} -15s \\ 3 s^{2} -37s+90=0 \\ (3s-10)(s-9)=0 \\ s= \frac{10}{3} ,9

Technically, either of these solutions would work when plugged into the original equation, but I would use the second solution because it's a little "neater."  We have the speed for the first part of the trip (9 mph); now we just need to subtract 5mph to get the speed for the second part of the trip.

9-5 = 4

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
5 0
3 years ago
I need help I been asking for hours pls help
blsea [12.9K]

Answer:

419 ft

Step-by-step explanation:

1063 ft is about 324002.4 mm

324002.4/477 to get the scale ratio. Which is 679.25:1

I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.

188*679.25=127699mm for one side.

Convert that back to ft and you get 418.959 which would just be 419 ft

6 0
3 years ago
Read 2 more answers
Part A: Solve –mk – 90 &gt; 85 for m. Show your work.
erma4kov [3.2K]

Answer:

A) m < -175/k and B) 3c/5 - 11

Step-by-step explanation:

A) Add 90 to both sides. -mk > 175.

Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!

m < -175/k.

B) Subtract 3c from both sides.

-5f = 55 - 3c.

Now multiply both sides by -1/5.

f = 3c/5 - 11

7 0
3 years ago
The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles. Write that number
expeople1 [14]

The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles is 57, 280, 000 square miles

<em><u>Solution:</u></em>

Given that, we have to write the given words in number

The total land area of the world is about fifty-seven million, two hundred eighty thousand square miles

The number of zeros in million is 6

Here given that 57 million

So, 57 million means 57, followed by 6 digits

two hundred eighty thousand means 280 followed by 3 zeros

two hundred eighty thousand = 280 thousand

Thus the number is: 57, 280, 000

5 0
3 years ago
Eunice bought 585 beads.Jennifer bought 6 times more than Eunice but half of the total of beads Suin bought.How many beads did J
diamong [38]

Answer:

<em>Eunice 3510; Suin 7020</em>

Step-by-step explanation:

<em>Eunice bought 585 beads.</em>

<em>Jennifer bought 6 times more than Eunice</em> but half of the total of beads Suin bought.

Eunice: 6 * 585 = 3510

Jennifer bought 6 times more than Eunice but <em>half of the total of beads Suin bought.</em>

<em>Suin: 3510 * 2 = 7020</em>

7 0
3 years ago
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