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defon
3 years ago
13

Did I put the letters in the right places?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

Yes u did thats what i did too XD

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Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia
Digiron [165]

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

8 0
3 years ago
Answer A, B, C, Please, and Thanks!
DochEvi [55]

A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.

The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.

(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.

B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.

C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.

  1. Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
  2. Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
7 0
3 years ago
Right the slope intercept form of the equation of of each line
Burka [1]

Answer:

Slope intercept form is y=mx+b

So y=-1/2x(m=slope which you go down one over 2 from your y-intercept)

y=-1/2x ( There would be no b because your b is 0, that's where it crosses the y axis)

Step-by-step explanation:

6 0
3 years ago
There are 18 people on a basketball team, and the coach needs to choose 5 to put into
olganol [36]

Answer:

He can choose by each players skill and depending on how long the game is he can sub them out throughout the game

Step-by-step explanation:

4 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
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