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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?

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