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kati45 [8]
3 years ago
9

What is the volume of the prism?

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

We can use the volume formula for a cube/rectangular prism to solve.

V = w * h * l

Turn all the fractions into improper fractions and find common denominators.

4 1/2 = 9/2

2 1/2 = 5/2

6 = 12/2

Multiply.

9/2 * 5/2 * 12/2

45/4 * 12/2

540/8

67 1/2

We can write the answer in 3 ways if necessary.

67 1/2, 135/2, or 67.5

Best of Luck!

fgiga [73]3 years ago
3 0

Answer:

67 ½ units³ or 135/2 units³

Step-by-step explanation:

Volume = Base area × height

In case:

width is 6 the height is 4 1/2 and the length is 2 1/2

2 ½ = 5/2

4 ½ = 9/2

Volume = (6 × 5/2) × 9/2

= 15 × 9/2

= 135/2

= 67 ½ units³

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Problem 9
lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at \frac{1}{4} capacity, we can use the equation:

\frac{1}{4} * 12 = \boxed{3}

This shows \frac{1}{4} of his tank's capacity (12) is equal to 3 gallons. This means he will stop for gas when 3 gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}

This is a simple proportion, and now we know he uses 2.5 gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has 7 gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

\frac{7-3}{2.5} = 1.6

The 7-3 is because Leon doesn't stop when his tank is empty, he stops 3 gallons earlier. We are dividing by 2.5 because that is how much gas he uses per hour, meaning the result of this division (1.6) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + 2 hours of driving + the remaining 1.6 hours = 3:36PM

(1.6 hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0
2 years ago
Help with my math plz! Giving brainlist :D
cupoosta [38]
Number six is 70 cus your adding
5 0
3 years ago
Heather drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would she need to drive 424 miles?
slava [35]

Answer:

Step-by-step explanation:

Next bit of info that we have is 424 miles. Miles go on the numerator, and gallons, which we will call "x" will go on the denominator. It should be set up like this: 265/10 = 424/x Once you cross multiply you should get 265x=4240. Divide 265 by both sides and the answer is 16 gallons.  Sorry if its wrong

6 0
2 years ago
(8x - 14) (5y + 16) (5x + 34)​
labwork [276]

Answer: 200x^2y+640x^2+1010xy+3232x-2380y-7616

Step-by-step explanation:

((8x−14)(5y+16))(5x+34)

((8x−14)(5y+16))(5x)+((8x−14)(5y+16))(34)

200x2y+640x2−350xy−1120x+1360xy+4352x−2380y−7616

200x2y+640x2+1010xy+3232x−2380y−7616

3 0
3 years ago
9 8/12 - 4 9/12<br><br> Simplest form please
Svetradugi [14.3K]
59/12 if you want to simplify more 4 11/12
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