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jeka57 [31]
3 years ago
5

A video game store made a display of game console boxes show at the right. the length, width and high of each game console box i

s 2 feet. What is the
volume of the display of game console boxes? Show your work and explain your answer
Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
The volume would be 8ft because the formula for volume is length x width x height. Since they are all 2ft the formula would be 2ft x 2ft x 2ft. 
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John is 14 years older than Sam and the product of their ages is 240. How old is Sam?
Shtirlitz [24]

Answer:

A.) 10 years old

Step-by-step explanation:

Sam: John - 14

S = J - 14

S x J = 240

10 = J - 14

0 = J - 14 - 10

-J = -24

J = 24

10 x 24 = 240

3 0
2 years ago
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
As a river guide on the gauja river, antra earned $55 per passenger and a $25 tip. if she earned $410 altogether, how many passe
Ket [755]

410 - 25 = 386

385 ÷ 55 = 7 passengers


5 0
3 years ago
Read 2 more answers
Pls help with algebra!
Serjik [45]
Part A: This data does represent a function because no value of x is repeated.
Part B: If x = 6 for the relation f(x) = 7x - 15, then f(x) will equal 27. The function f(x) = 7x - 15 will have the greater value
Part C: If f(x) is equal to 6 then x will equal 3
4 0
3 years ago
One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100
juin [17]
The wall has an area of 8 * 100 = 800 square feet
So therefore 800/400 = 2 gallons are required the answer is C
3 0
3 years ago
Read 2 more answers
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