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Mice21 [21]
3 years ago
8

A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $4.30 per square

foot to build the base and $2.70 per square foot to build the sides. Write the cost C of constructing the box as a function of x, y, and z.
Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

C=$(4.30xy+5.40(xz+yz))

Step-by-step explanation:

Surface Area of a Cuboid=2(LW+LH+HW)

Since the top is open

Surface Area = LW+2(LH+HW)

If Length = x feet,

Width =y feet

Height = z feet

Surface Area = xy+2(xz+yz)

Area of the base=xy

If it costs $4.30 per square foot to build the base

Cost of the base=Cost Per Square Foot X Area = $4.30xy

Area of the sides =2(xz+yz)

If it costs $2.70 per square foot to build the sides

Cost of the sides=Cost Per Square Foot X Area of the sides

= 2.70 X 2(xz+yz)

=5.40(xz+yz)

Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.

Therefore,

C=$(4.30xy+5.40(xz+yz))

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ASAP!!!!!!!!!!!!!!!!!!!
timama [110]

Answer:

Step-by-step explanation:

BC = 60

CA = 45

AB = sqrt(45^2 + 60^2)

AB = sqrt(2025 + 3600)

AB = sqrt(5625)

AB = 75

7 0
3 years ago
A school plays a series of 6 soccer matches. For each match there are 3 possibilities: a win, a draw or a loss. How
Sphinxa [80]

Answer:

There are 729 possible results are there for the series

Step-by-step explanation:

If we have n trials, each with m possible outcomes, the total number of possible outcomes is:

T = m^{n}

In this question:

6 games(trials), so n = 6.

Each with three possible outcomes, so m = 3

Then:

T = 3^{6} = 729

There are 729 possible results are there for the series

7 0
3 years ago
You are painting the walls and ceiling of a rectangular 20 x 30 ft room. The walls are 10 feet tall. You need two coats of paint
Mkey [24]

Answer:

$424

Step-by-step explanation:

Find area of all surfaces to be covered

20 x 30 = 600 ceiling

10 x 20 = 200 x 2 = 400 two walls

10 x 30 = 300 x = 600 other two walls

Assume no doors

total area is 1600 square feet

multiply by 2 because you are doing two coats

3200 total area to be covered

3200/400 = 8 gallons of paint x $53 = $424

3 0
3 years ago
A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

5 0
3 years ago
The following below shows values for x and y. If y varies directly with x, what is the constant of variation?
Bingel [31]
Option C is correct.
4 0
3 years ago
Read 2 more answers
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