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shtirl [24]
3 years ago
5

A traveling fair charges a $5.25 admission fee plus $0.75 for tickets to ride a roller coaster. candace has a budget of $15.50 t

o spend on her admission fee and roller coaster rides. how many tickets can candace buy?
A) 19 tickets
B) 15 tickets
C) 14 tickets
D) 13 tickets
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

13

Step-by-step explanation:

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A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it back
Tomtit [17]

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

<em>Always reduce when finding probability</em>

<em></em>

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

3 0
2 years ago
2n - n+5=3 help please
Doss [256]

n=-2 i got this answer because i combined like terms first like 2n-n

we get just n after

and then, we subtract the 5 from both sides to get it on the opposite side of the equal sign.. we get x=-2

5 0
2 years ago
Complete the two-column proof by providing a reason for each of the five statements.
koban [17]

I will only be writing the reasons for each and you can respond if you need clarification for anything:

1. given

2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)

3. def rectangle

4. SAS (side angle side congruence theorem)

5. CPCTC (congruent parts of congruent triangles are congruent)

7 0
2 years ago
You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was
Doss [256]

Answer:

A) The linear relation between price and demand is:

d=-550x+2750

The revenue R is:

R=-550x^2+2750x

B) The profit functionP is:

P=-550x^2+2750x-30

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

  • At price x=3, the demand is d=1100.
  • At price x=2.5, the demand is d=1375.

We will model the relation:

d=mx+b

We can calculate the slope m as:

m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550

Then, replacing one point in the linear equation, we can calculate the intercept b:

d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750

Then, the linear relation between demand and price is:

d=-550x+2750

The revenue R can be expressed as the multiplication of the price and the demand:

R=x\cdot d=x(-550x+2750)=-550x^2+2750x

If we have a fixed cost of $30 per month, the profit P is:

P=R-FC=-550x^2+2750x-30

We can maximize the profit by deriving the profit function and making it equal to zero.

\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5

This corresponds to a profit of:

P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5

5 0
3 years ago
a runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race
Simora [160]
I hope this helps you

if 3/8 miles per a hour

7/8 miles ? hour

?.3/8=7/8.1

?=7/3

?=2,3333... hour
4 0
3 years ago
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