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podryga [215]
3 years ago
12

Your grade before taking the final exam is 493pts out of 510 possible points. The final exam is worth 100 points. How many point

s do you have to get on the final exam to get 93% overall for the class
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

You need 75 points.

Step-by-step explanation:

Giving the following information:

Total number of points= 510 + 100= 610 (100%)

Actual number of points= 493

<u>First, we need to determine the number of points required to reach 93%:</u>

Points required= 610*0.93

Points required= 567.3 = 568

<u>Now, the points needed in the final exam:</u>

Difference of points= 568 - 493

Difference of points= 75 points

You need 75 points.

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Determine the reveune for selling 500 helmets
Tasya [4]

Answer:

x is the price the helmets were sold at.

y is the business expenses.

r is the revenue.

500x - y = r

Step-by-step explanation:

500x - y = r

We multiply x, the price that the helmets were sold at. Then we subtract y, which is the business expenses. After this, we get r, our revenue.

4 0
3 years ago
A square has a perimeter of 12x+52 units. Which expression represents the side leagth of the square in units
Harrizon [31]

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

6 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
The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
Elis [28]
Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
=> The number is 34.
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3m+1-m?<br><br> 2+m-1+m<br> 1+m<br> 3m-1<br> 3m
kirill115 [55]

Answer:

  2+m-1+m

Step-by-step explanation:

By combining like terms, the given expression and the above answer both simplify to ...

  2m+1

___

The other available choices do not.

6 0
3 years ago
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