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3 years ago

7

Expand and simplify (x-2)(x-1)

1 answer:

mr_godi [17]3 years ago

5 0

Answer:

(x - 3) x + 2

Step-by-step explanation:

1/4 (2 x - 3)^2 - 1/4

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One-fifth of an unknown number is 16. What is the unknown number?

makkiz [27]

Answer:

It would be 80.

Step-by-step explanation:

You could use the inverse operation to find the number which would be

16 x 5 = 80. You can also inverse it to find the answer.

80/5=16. Hope this helps!

6 0

3 years ago

Show steps for 5-x÷3=-7

Alla [95]

5-x÷3=-7

Add 3 to both sides of the equation.

5x=3+7

Divide each term by 5 and simplify.

Divide each term in 5x=10 by 5

5x/5=10/5

Reduce the expression by cancelling the common factors.

x= 10/5

Divide 10 by 5

Answer <em>x </em>=2

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3 years ago

Juliette bought 8 ribbons for 1.52

Nataliya [291]

Answer: $0.19 ribbons

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3 years ago

Write 25.75% as a decimal. thx :)

professor190 [17]

Answer:

0.2575

<em>That’s your answer! </em>:)

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3 years ago

Read 2 more answers

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