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wlad13 [49]
3 years ago
13

Please help! Fraction Problem! :0!! will rate! 15 points!

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Combine the constant terms, separately from the rest, and then combine the "v" terms, separately from the rest:

-6/5  +  4/15 - (2/3)v + (1/3)v

The LCD of the first 2 terms is 15, so we have -18/15 + 4/15, or -14/15.

The LCD of the last 2 terms is also 15, so we have  -(10/15)v + (5/15)v, or (-5/15)v.

The final result is (1/15)(-14 - 5v), or

    14+5v

- -------------

      15

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A regular tank measuring 30 cm by 10 cm by 20 cm is 2/3 filled with water. Calculate the volume of water in the tank in litres.
koban [17]

Answer:

4 litres

Step-by-step explanation:

First, find the volume of the entire tank using the given measurements:

30 cm*10cm*20cm=6000cm^3

To find the amount of water in cubic centimetres, simply multiply \frac{2}{3} with 6000:

\frac{2}{3} * 6000cm^3=4000cm^3

Now, we need to convert to litres. You can easily see just by looking at the numbers that the volume is 4 litres, however we will do the full conversion just to show you how it's done:

\frac{1 Litre}{1000cm^3} *\frac{4000cm^3}{1} \\

Now, the cubic centimetres cancel out as there is one on the bottom of the first fraction and one on the top of the second fraction. Anything divided by itself is one, including units, so the 1000 cubic centimetres from the first fraction and the 4000 cubic centimetres from the second fraction are multiplied by one. They therefore remain the same but without the unit of centimetres cubed:

\frac{1 Litre}{1000} *\frac{4000}{1}\\\\\frac{4000 Litres}{1000}\\\\4 Litres

8 0
2 years ago
Yasmine bought 6 gallons of apple juice after filling up 4 bottles of the same size with apple juice , she had 0.3 gallons of ap
Black_prince [1.1K]
The answer should be 1.425.
Once you subtract 0.3 from 6 it leaves you with 5.7
then do 5.7 divided by 4 and you would get 1.425
7 0
3 years ago
A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the sh
Alex
D=vt,   distance is equal to velocity times time.

4v+3(v+3)=149 perform indicated multiplication

4v+3v+9=149  combine like terms on left side

7v+9=149  subtract 9 from both sides

7v=140  divide both sides by 7

v=20

So the ship traveled at a speed of 20 mph when heading east.
8 0
3 years ago
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Ierofanga [76]

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

4 0
3 years ago
I don't understand this and I can only miss 1 question on my quiz and already did​
Dahasolnce [82]

Answer:

23

Step-by-step explanation:

they add five

9+5=14

12+5=17

15+5=20

18+5=23

7 0
3 years ago
Read 2 more answers
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