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svet-max [94.6K]
2 years ago
8

consider the equation 3p -7+ p=13. what is the resulting equation after the first step in the solution ?

Mathematics
2 answers:
NNADVOKAT [17]2 years ago
9 0

1st step would be to combine like terms so you would have

4p-7 = 13

hichkok12 [17]2 years ago
3 0
You would need to combine like terms like 3p and p.
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Price of Rope
Ksenya-84 [330]

Answer:

The answer is 2.25 that makes profit

Step-by-step explanation:

6 0
3 years ago
A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be​
Norma-Jean [14]

Answer:

270

Step-by-step explanation:

Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine

For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270

Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.

10*3=30 so we can say for this answer, the base is 3, and the height is 10.

10 tripled is 30, and 3 tripled is 9. 30*9=270

So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270

Hope this helpes!

5 0
3 years ago
Jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number lin
antoniya [11.8K]

Answer:

 i'll explain it to you

Step-by-step explanation: look for a number line that has 180, 120, and 15 you see you have to multiply 15 by 12 dozen cupcakes which equals to 180  that way she earns more than $120

3 0
2 years ago
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
Please help. 2/3 (x - 6) = 6
vagabundo [1.1K]

Answer:

6=6

Step-by-step explanation

if 2/3x=10

therefore

x=3/2x10

x=15

substitute x with 15

2/3 (15 - 6)=6

2/3(9)=6

6=6

6 0
2 years ago
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