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Eddi Din [679]
3 years ago
15

callista needs a carpet runner for her hallway. she needs it to be 1 1/2 feet wide and 4 feet long. what is the area of the carp

et runner callista needs?
Mathematics
2 answers:
nadya68 [22]3 years ago
5 0

Answer:

Area = 6

Step-by-step explanation:

1/2 is the same as 0.5 feet.

To find the area you have to times the length by the width.

4 feet x 1.5 feet =6

Soloha48 [4]3 years ago
3 0

Answer:

Area=6

Step-by-step explanation:

1/2 is the same as 0.5 feet.

To find the area you have to times the length by the width.

4 feet x 1.5 feet =6

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Pls help, Thx! Solve using the substitution method.<br> y = 2x - 4<br> 6x - 3y = 12
Kay [80]
Your answer would be 0 and -4. When you plug in 2x - 4 in for the y of the second equation and solve, you get x = 0 and y = -4.
6 0
3 years ago
Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub
ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

V = 288 --- Volume

C_1 = 0.06 --- cost of wall paint

C_2 = 0.16 ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

V =xyz

Substitute 288 for V

288 =xyz

Make z the subject

z = \frac{288}{xy}

The surface area is calculated as:

Area = 2(yz + xz) + xy

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

C = 0.06 * 2(yz + xz) + 0.16 * xy

Substitute z = \frac{288}{xy}

C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy

C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

Differentiate w.r.t x and y

C_x = -\frac{34.56}{x^2} + 0.16y

C_y = -\frac{34.56}{y^2} + 0.16x

By comparison: x = y

Set them equal to 0

C_y = -\frac{34.56}{y^2} + 0.16x=0

-\frac{34.56}{y^2} + 0.16x=0\\

Substitute x for y

-\frac{34.56}{x^2} + 0.16x=0

0.16x=\frac{34.56}{x^2}

Cross multiply

0.16x^3 = 34.56

x^3 = \frac{34.56}{0.16}

x^3 = 216

Take the cube root of both sides

x = \sqrt[3]{216}

x = 6

x=y= 6

Substitute 6 for x and for y in C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6

C = (\frac{2*34.56}{6}) + 5.76

C = 11.52 + 5.76

C = 17.28

C = 17.3 --- approximated

8 0
3 years ago
Use the substitution method to determine the solution of the system of equations. y = -5x and 21x - 7y = 28
8_murik_8 [283]

Answer:

x = 1/2   y = -5/2

Step-by-step explanation:

Since we already know an equation for y, we just need to plug it into the other equation.

21x - 7(-5x) = 28

21x + 35x = 28

56x = 28

x = 1/2

Now that we know x, we substitute it into the other equation, to find y.

y = -5x

y = -5(1/2)

= -5/2

3 0
3 years ago
14 - 2xy when x = -6 and y = 2.
Paraphin [41]

Answer:

38

Step-by-step explanation:

14 - 2xy when x = -6 and y = 2.

14 - 2( - 6)(2) \\ 14  - 2 \times ( - 12) \\ 14  + 24  = 38

3 0
3 years ago
Read 2 more answers
Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previ
Ainat [17]

Answer:

N = D * 1.20

Step-by-step explanation:

In order to calculate the number of dishes that the previous menu had we first need to turn this percentage into a decimal by dividing it by 100

20% / 100 = 0.20

Now we add a 1 to it since we are increasing the old menu by this amount

0.20 + 1 = 1.20

Now we can multiply this by the previous menu dishes (D) to get the new amount of menu dishes (N)

N = D * 1.20

4 0
3 years ago
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