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3 years ago

6

How to solve 42 divided by 1,349

1 answer:

egoroff_w [7]3 years ago

6 0

Here is the answer. did you try using the calculator.

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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

Reducing fraction 6/12

yKpoI14uk [10]

6/12 can be reduced to 1/2.

6/6=1
12/6=2

3 0

4 years ago

Find the area of this triangle. Round to

DaniilM [7]

Answer:

63.3 square feet

Step-by-step explanation:

Let a = 20 ft, B = 15 ft, c = 9ft

$s=\frac{a+b+c}{2}$

$s=\frac{20+15+9}{2}$

$s=\frac{44}{2}$

$s=22\: ft$

$Area \: of \:\triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{22(22 - 20)(22 - 15)(22 - 9)} \\ \\= \sqrt{22 \times 2 \times 7 \times 13} \\ \\= \sqrt{44 \times 91} \\ \\ = \sqrt{4,004} \\ \\ = 63.2771681 \\ \\ \approx 63.3 \: {ft}^{2}$

6 0

4 years ago

A population of rabbits triples every month.the population starts with two rabbits.how many rabbits are there after 3 month's

Tresset [83]

The answer would be 54. Because you start with 2.
2x3 = 6
6x3 = 18
18x3 = 54
Each month it triples so you continue
to add 3 to each result.

7 0

4 years ago

I need to know 219.8 x 0.48.

zaharov [31]

Answer:

105.504

Step-by-step explanation:

7 0

2 years ago