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STatiana [176]
2 years ago
12

A bus makes a stop at 2:30, letting off 12 people and letting on 3. The bus makes another stop ten minutes later to let off 2 mo

re people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
5 0
There are fewer people on the bus
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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
2 years ago
Will measured the diameter of a penny as 1.9 cm using the ruler. What is the margin of error? 1.5 cm to 2.0 cm 1.5 cm to 2.5 cm
Anna35 [415]

The answer is 1.5cm to 2.0cm

9 0
3 years ago
Read 2 more answers
Which of the following graphs shows the<br> solution set to 2x &lt; 6 and 3x + 2 &gt;<br> -4?
Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \leq  and \geq. When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

5 0
1 year ago
Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16,
Levart [38]

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

4 0
3 years ago
13 cm<br> Find x.<br><br> 24 degrees
AleksandrR [38]
X is 66 degrees, you just subtract 24 to 90 and it gives you 66.
5 0
2 years ago
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