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vladimir1956 [14]
2 years ago
15

Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 incre

ase in price. What ticket price would give the greatest income?
Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Answer:

$12

Step-by-step explanation:

If we stuck with the price of $8, then we end with an income of $2400

Increasing it by $1 will decrease attendance by 20

8 x 300 = 2400

9 x 280 = 2520

10 x 260 = 2600

11 x 240 = 2640

12 x 220 = 2640

13 x 200 = 2600

We're starting to go down, so let's stop there

The ticket price of $11 or $12 appears to give the most income

I would stick with $12 since your still getting more money from one ticket

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Scorpion4ik [409]
Im assuming you meant the 9th term and thats 47 
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2 years ago
A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3
Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

7 0
3 years ago
Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h
Finger [1]

Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300                  Multiply both sides by 300

180*300/200 = x                    Multiply the numerator together.

54000/200 = x                       Do the division

270 = x

Smith will have turned out 270 relays.

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Find the volume of combined solid from the given figure.​
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Answer:

1944 cubic cm

Step-by-step explanation:

Find the answer by figuring out the volumes independently for each figure.  After doing that, add both volumes together to get the full volume.

Bottom figure: 1440 cubic cm

Top figure: 504 cubic cm

Add those together: 1944 cubic cm

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