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Ivanshal [37]
3 years ago
6

Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the

charity. The following list shows the costs for hosting the event.
Facility Rental: $150 per hour of event
Linens: $2 per attendee
Food: $20 per attendee
Table Decorations: $3 per attendee
Musical Entertainment: $1,800 (flat fee)
Cleaning Fee: $250 (flat fee)
The total cost of the event, with n attendees, is represented by the given expression.



Which statement best describes the constant in this expression?

A.
It is the cost per person for food, linens, and table decorations.
B.
It is the total cost for entertainment and cleaning.
C.
It is the total cost for entertainment, facility rental, and cleaning.
D.
It is the cost per hour for facility rental and cleaning.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer: C.  

It is the total cost for entertainment, facility rental, and cleaning.

For a 5 hour event organized by Marissa, we have a list of cost from different categories that would add up to the total for hosting the event. It includes the facility rental which is paid $150 per hour so for 5 hours it would be $750.

Next we have linens, food and table decorations that are charged according to the number of attendees at the event. Since the number of attendees is unknown here, we are going to skip everything which is effected by the number of attendees. Furthermore, we have musical entertainment and cleaning fee at a flat rate of $1800 and $250 respectively. So there are 3 things that we are sure about that they will stay constant despite the number of attendees and they are facility rental, musical entertainment and cleaning fee.

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Hey can you please help me posted picture of question:)
Fudgin [204]
The given trinomial can be factored using factorization as
x²+19x+84
=x²+12x+7x+84
=x(x+12)+7(x+12)
=(x+12)(x+7)

Thus x+12 and x+7 are the factors of the given trinomial. From these we can see x+12 is listed in option A.
So the answer to this question is Option A
7 0
2 years ago
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To mix the color “autumn purple,” a painter mixes 28 parts of blue to 48 parts of red. What is the ratio of blue to red? Express
kupik [55]

Answer:

blue : red

7      : 12

Step-by-step explanation:

blue : red

28      48

Divide each by 4

28/4   48/4

7         12


blue : red

7      : 12

7 0
2 years ago
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Simplify: (−2a2b) • (4a5b2)<br> please can someone help!
xz_007 [3.2K]
Hey there hope this helps you out

5 0
3 years ago
Please help! This assignment is due soon! (In The photo)
eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

\frac{1}{2}x+3=\frac{7}{2}x+5

For Elena to have arrived at

3=\frac{7}{2}x-\frac{1}{2}x+5

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}

For Lin to have arrived at

x+6=7x+10

It shows Lin must have multiplied both sides of the equation by 2

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}

4 0
1 year ago
-5(3e - 2) &lt; - 2(6e + 7)
krok68 [10]
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2 years ago
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