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lisov135
1 month ago
15

Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band th

at will charge her $750 and a caterer who will provide snacks and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.25, how many people, p, must attend?
A)225 B)325 C)500 D)760
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
7 0
Take 2.25 and multiply by each answer, then use 750 and record the total. Next, multiply 3.25 with each answer in ascending order, adjusting the figures until you reach the precise amount. For example, D indicates that for 760, 2.25 times 760 yields 2460, and multiplying by 3.25 gives you 2570. You save 10 dollars, enabling you to cover the costs for food and the band.
Inessa [12.5K]1 month ago
3 0
The number of attendees required for the celebration will be 760 (option D). Here's the step-by-step breakdown: Average cost per person = p = 1500. As a result, p must equate to 750. Thus, the final figure for participants is 760 (option D).
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Zina [12379]

Jada intends to provide milk and nutritious cookies at a gathering for her book club. She has planned to offer 12 ounces of milk and 4 cookies for each participant. With her included, the total number of club members is 15. Each package of cookies has 24 cookies and is priced at $4.50. A gallon of milk has 128 ounces and costs $3. Let n denote the club members, m for the ounces of milk, c for the cookies, and b for Jada's budget in dollars. Identify all equations that could represent the relevant quantities and constraints in this scenario.

â m = 12(15)

n refers to the club members

b. 3m + 4.5c = 6

c. 4n =

m stands for ounces of milk

& 44.50) = C

c indicates the cookies

e b=2(3) + 3(4.50)

b denotes Jada's budget in

currency

The equations applicable for representing the quantities and constraints in this scenario are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Detailed explanation:

Jada is set to provide milk and nutritious cookies for her book club meeting

She plans to prepare 12 ounces of milk and 4 cookies for each individual

She has 15 members in total

A pack of cookies contains 24 cookies and costs $4.50

A gallon of milk has 128 ounces and costs $3

Designate the total members by n

Ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

Each individual will receive 4 cookies

4n = c

As one pack contains 24 cookies

She requires = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Thus, she would need to purchase 3 packs of cookies

She needs = 15 × 12 = 180 ounces of milk

A gallon of milk contains 128 ounces

180 ÷ 128 = 1.406

She will need to acquire 2 gallons of milk

It's noted: from the prompt

Each gallon of milk costs $3

Each package of cookies costs $4.50

b serves as Jada's dollar budget

b = 2(3) + 3(4.50)

<pThe relevant equations that could signify the quantities and constraints in this scenario are:

Options a, c and e are valid

3 0
3 months ago
How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?
tester [12383]

Answer:

To summarize the answer:

Step-by-step explanation:

Given:

\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\

Here is the graph associated with this question:

The second function, denoted as g(x)= (\frac{2}{3})^x, does not qualify as a function.

Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.

Reflection on the axes:

In the x-axis:

Enhance the function by -1 to illustrate an exponential curve around the x-axis.

In the y-axis:

Decrease the input of the function by -1 to depict the exponential function around the y-axis.

8 0
3 months ago
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lawyer [12517]

Answer:

The repair of the stretch of road will require

weeks to finish.7\frac{1}{3}

Step-by-step explanation:

Provided:

Length of the roads needing repair =

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Overall road length to repair =

2\frac{1}{4}\ km

The time required to repair 16\frac{1}{2}\ km

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To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:

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We revert the fraction back into a mixed number.

Thus, it will take

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lawyer [12517]
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