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marshall27 [118]
3 years ago
13

The function p(x)= 2x+1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of st

udents at the meeting. The club leader uses r(p(x)) to find the amount of money to bring for the pizza purchase. The function r(x)=4x-3. Solve for how much money to bring when there are 9 students in the meeting.
A. 19
B. 33
C. 73
D. 84
Mathematics
2 answers:
aleksley [76]3 years ago
6 0

can you explain how you got the answer?

Yuliya22 [10]3 years ago
5 0
C)73 is the correct answer


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Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen
goblinko [34]

Step-by-step explanation:

Given that,

The length of the shelf = 24 inches

The width of the shelf = 7 inches

Area of the shelf, A = 24 × 7

= 168 inch²

When the width of the shelf is doubles,

New width = 14 inch

New area, A' = 14×24

= 336 inch²

It means,

A' = 2(A)

So, the new area becomes 336 inch² i.e. twice the initial area.

6 0
3 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
A porch has the shape of a quarter circle with a diameter of 5 ft. What is the approximate area of the porch, rounded to the nea
GalinKa [24]
Area=pi times radiius^2
radius=diameter/2
diamter=5
radius=5/2=2.5
pi=3.14 aprox
area=3.14 times 2.5^2
area=3.14 times 6.25
area=19.625 ft^2

round
19.6 round up
20
the answer is 20 ft^2
5 0
3 years ago
Simplify the following expression: b + b + b
aleksley [76]

Answer:

3b

Step-by-step explanation:

repeated addition is multiplication

6 0
3 years ago
Read 2 more answers
How can you tell whether a counting problem is a permutation or combination problem? Give examples to support your answer
dolphi86 [110]

Answer:

Step-by-step explanation:

Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.

Examples:

<u>Permutation: </u>How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled

2. In what order or arrangements five people can be seated in the front row?

The number of people are fixed, we have to find the order.

<u>Combination:</u> Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.

2. Choosing 4 students from a class to take part in the competition.

The selection can be made in multiple ways ..

4 0
3 years ago
Read 2 more answers
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