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professor190 [17]
3 years ago
7

15DANCE TICKETS WERE SOLD IN ONE HALF HOUR. IF THIS RATE CONTINUES HOW LONG WOULD YOU EXPECT IT TO TAKE TO SELL 270 tickets.

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

9 hours

Step-by-step explanation:

Using the initial ratio of 15 tickets in half an hour, you can set up a proportion (equivalent ratios) to find the amount of time it would take to sell 270 tickets:

\frac{tickets}{time}=\frac{15}{0.5}=\frac{270}{x}

Where 'x' is the amount of time to seel 270 tickets.

Cross-multiply: 0.5(270) = 15x or 135 = 15x

Divide: 15x/15 = 135/15 or x = 9 hours

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In a chest there are some gold coins. Captain takes half the coins. Sally takes a quarter of the coins. There are 3 coins left.
amid [387]

Answer:

<u>There were 12 gold coins in the chest at the start.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

<u>There were 12 gold coins in the chest at the start.</u>

3 0
3 years ago
3. Given: Circle Q<br>&lt;A = 35<br>Find: m AB​
Agata [3.3K]

Answer:  110°

<u>Step-by-step explanation:</u>

∠A ≅ ∠B  

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

     70°    + ∠Q = 180°

                 ∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

5 0
3 years ago
What is the best approximation of the volume of the right cone?
zalisa [80]
Formula:

V = 1/3 * pi * r^2 * h

Plug in what we know:

V = 1/3 * 3.14 * 3^2 * 4

V = 37.68cm^3

So the volume is 37.68cm^3 which rounds to 37.7cm^3.
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Corange%7BQuestion%20%7D%7D%7B%5Corange%7B%
VashaNatasha [74]

Answer:

29

Step-by-step explanation:

As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.

6 0
3 years ago
jacobs job pays him $12.50 per hour which equation can be used to find jacobs salary ,y,if he works for x hours ?
g100num [7]

Y = 12.5x Hope this helps!

4 0
3 years ago
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