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vitfil [10]
3 years ago
15

The sophomore class is planning a picnic. The cost of a permit to use a city park is $250. To pay for the permit, there is a fee

of $0.75 for each sophomore and $1.25 for each guest who is not a sophomore. 200 sophomores plan to attend. Write and solve an inequality to find how many guests must attend for the sophomore to pay for the permit.
Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

x>= 40

Step-by-step explanation:

250 <= .75*200 + 1.25x

solve for x

250 <= 150 + 1.25x

treat the <= just as you would an equal sign.

subtract 150 from both sides.

50 <= 1.25x

divide each side by 1.25

50/1.25 <= x

40 <= x

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PLEASE HELP!
Natasha_Volkova [10]

The graph first represents the provided piecewise function option first is correct.

<h3>What is a piecewise function?</h3>

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}

\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}

\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

brainly.com/question/12561612

#SPJ1

8 0
2 years ago
Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (Hint:If the spider rotates 3
lidiya [134]

Answer:

  each of the 12 turns is 150°

Step-by-step explanation:

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the centerline.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

  150° - dodecagon, a 12-sided figure

  120° - hexagon

  90° - square

  60° - equilateral triangle

  30° - 12-pointed star

  0° - straight line

The two 12-pointed figures are shown in the attachment.

__

We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.

4 0
3 years ago
Francesca must buy over $55 worth of art supplies to qualify for free shipping
sattari [20]

Answer

the question isn't complete

Step-by-step explanation

cool

3 0
3 years ago
Geometry help please!
Illusion [34]

Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

3 0
3 years ago
Calculate the average rate of change for the given graph from x = -2 to x = 0
Ludmilka [50]

Answer: x goes from 0 to 2, y changes from 0 to -2

Step-by-step explanation:

7 0
3 years ago
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