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KatRina [158]
3 years ago
8

Find the volume of a prism-shaped watermelon in cubic inches if it's length is 10 inches, its width is 2/3 foot and it's height

is 9 inches
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
The volume is 60 cubic inches.

To solve, follow the formula Volume = Length · Height · Width. If you are solving without a calculator, simply multiply the length and the height first, then multiply the product of that by the width, 2 / 3.
V = 10 · 9 · 2/3
V = (10 · 9) 2/3
V = 90 · 2/3
<span>V = 60 in.³
</span>
Hope this helps. Good luck! :)
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andrew11 [14]

Answer:

A. x+y=6...(1)

20x+15y=100...(2)

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

x+y=6...(1)

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.  

As Pablo wants to spend $100 on clothing, so we can represent this information as:

20x+15y=100...(2)

Therefore, the system of equation representing the given situation will be:

x+y=6...(1)

20x+15y=100...(2)

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

2+4=6

6=6

20*2+15*4=100

40+60=100

100=100

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

4 0
3 years ago
How to determine if set of vectors is linearly independent?
zimovet [89]
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5 0
2 years ago
Algebra help?<br><br> 343 = (x/6) ^2/3
Vladimir79 [104]

I can only assume that you meant, "Solve for x:"

Apply the exponent 3/2 to both sides of this equation.  The result will be

     3/2

343 = x/6.    

Multiplying both sides by 6 isolates x:

          3/2

6*343           = x                         Since 7^3 = 343,  the expression for x

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x =  6^(3/2)*7^(9/2), or:

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