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barxatty [35]
2 years ago
8

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie ti

ckets Henry bought two buckets of popcorn for 5 dollars each. How much did Henry spend on popcorn.
Mathematics
1 answer:
denis23 [38]2 years ago
5 0

Answer:

Peter spent 14 dollars on movie tickets. Henry spent 10 dollars on popcorn.

Step-by-step explanation:

I hope this helps! :)

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
What is the opposite of 3.75 on a number line?​
vodomira [7]

Answer:

-3.75

Step-by-step explanation:

the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75

5 0
2 years ago
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What is the sum of 1/6 and 5/12​
torisob [31]

Answer:

7/12

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2 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
2 years ago
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CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
svp [43]

Answer:

13/20

Step-by-step explanation:

To add fractions without the common denominator, you have to make them equal so

1/4 x 5 = 5/20

2/5 x 4 = 8/20

5/20 + 8/20 = 13/20

3 0
2 years ago
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