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3 years ago

Solve each Multi-Step equation. -6(-6n + 2)=-228

Mathematics

2 answers:

goblinko [34]3 years ago

8 0

Answer:

-6

Step-by-step explanation:

-6(-6n + 2)=-228

distribute -6

36n -12 = -228

add 12

36n= -228+12

36n= -216

divide 36

attashe74 [19]3 years ago

5 0

Answer:gnhbk j bmnj

Step-by-step explanation:

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The family bought a car for $2000 they made a down payment of $500 if they want to pay the balance of five equal payments how mu

prisoha [69]

The balance would be 1,500$.
1,500 divided by 5 is 300. So they would have to make five payments of 300$.

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4 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

3 years ago

A listing for a home for sale is shown as follows: "3/2/2 house for sale. Price

MariettaO [177]

I believe C. Because it provides a more meaningful explanation

7 0

3 years ago

Read 2 more answers

Two Algebra questions^^^

guapka [62]

5 = c. infinite.
6 = I don't know. sorry!!
Hope this helps!!

4 0

3 years ago

There are 234 pieces of candy in 9 bags of candy. If there are the same amount of pieces of candy in each bag, how many total pi

spin [16.1K]

Answer:

130 pieces of candy in 5 bags

Step-by-step explanation:

234/9 equals 26, that means there would be 26 pieces of candy in 9 bags, therefore 26x5 equals 130, and just to make sure, divide 130/26 to check if its wrong, but it should be 130. :) hope this helps you out!

8 0

3 years ago