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8090 [49]
3 years ago
12

A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a

dinner that costs $131. 50? Write an equationand solve.
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

The nomber of people can attend a dinner that costs $131. 50 is 14.

Step-by-step explanation:

With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:

c=16+8.25x, where:

c is the total cost of he dinner

x is the number of people

Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:

131.50=16+8.25x

131.50-16=8.25x

115.50=8.25x

x=115.50/8.25

x=14

According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.

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Answer: Id say b

Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.

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3 years ago
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a
mestny [16]
Fit Fast: a set feet per class => y = Ax

Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C

You can discard the second and the fourth systems because  they do not have the form established from the statement.

The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.

The third system is

y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.

Answer: y = 7.5x and y = 5..5x + 10



4 0
4 years ago
Read 2 more answers
Which inequality has the solution set shown on the graph?
professor190 [17]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Question #2
RideAnS [48]

Answer:

First, the student performed what was inside of the parentheses and was exponential, which is correct. We know this because of the rules called order of operations, outlined by PEMDAS, which tells us to perform mathematical operations in the following order: parentheses, exponents, multiplication, division, addition, subtraction.

So by the rules I just outlined, next the student should have performed the multiplication, but instead performed subtraction, which is incorrect.

The following is the correct simplification of the expression:

23 - 8 times 2 + 3 by the power of 2

So first we should perform parentheses, but there are none. So we move to the next option in the list, which is exponents, which we do have (3^2).

23 - 8 * 2 + 3^2

23 - 8 * 2 + 9

Next in PEMDAS comes multiplication and division. This means the next step in simplifying the expression is to evaluate 8*2.

23 - 16 + 9

Next in PEMDAS is addition, so we should perform the operation -16 + 9.

23 - 7

Finally, the last step in PEMDAS is to simplify the remaining operation (subtraction).

16

Therefore, the student did the first step correctly but performed the second step incorrectly. The final answer should be 16 after simplification.

Hope this helps!

Please I need Brainliest.

5 0
2 years ago
Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an
aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner ×  The number of people who ordered steak dinner

Or, $ 12 × c + $ 17  × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or,  $ 12 × c + $ 12  × s = $ 84

Or, (  $ 12 × c + $ 17  × s ) - (  $ 12 × c + $ 12  × s ) = $ 109 - $ 84

Or , (  $ 12 × c - $ 12  × c ) +  (  $ 17 × s - $ 12  × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = \frac{25}{5}

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵,  c + s = 7

or,  c = 7 - s

Or, c = 7 - 5

I.e   c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2   Answer

5 0
3 years ago
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