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EleoNora [17]
2 years ago
14

The ratio of girls to boys in fifth grade at Travis Elementary is 2 to 3. If there are a total of 90 students in fifth grade, ho

w many girls attend Travis Elementary?
Mathematics
2 answers:
Cerrena [4.2K]2 years ago
7 0

Answer:

45

Step-by-step explanation:

Vera_Pavlovna [14]2 years ago
4 0

Answer:

The ratio of girls to boys in the fifth grade is 36 to 54

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9x^2+16=0 what are the solutions
seraphim [82]
X=4i/3,-4i/3

Need 20 characters
8 0
3 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
−7(7+5x)+x=−3x−18 what does x =
Eduardwww [97]

Answer:

-1

Step-by-step explanation:

-49-35x+x=-3x-18

-49-34x=-3x-18

-34x+3x=-18+49

-31x=31

-31x/-31=31/-31

ansx=-1

pliz mark my answer brainliest

4 0
3 years ago
What is the quotient in simplest form?<br><br> 8 Over 3 divided by two-thirds
Darina [25.2K]

Answer:

4

Step-by-step explanation:

8/3 ÷ 2/3

8/3 * 3/2

4

7 0
2 years ago
4x - 2y = 20<br> -8.x - 3y = 16
Komok [63]

Answer:

This is the answer dude

7 0
3 years ago
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