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Lelu [443]
3 years ago
15

Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet ro

om plus $32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?
please help
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

35

Step-by-step explanation:

To solve this problem, we can make an equation using the values provided to us. The equation is shown below:

350 + 32.50x = 1,500

The first step is to subtract 350 from 1,500.

32.50x=1,500-350

32.50x=1,150

The last step is to divide 1,150 by 32.50 to get <em>x</em> by itself.

x=\frac{1,150}{32.50}

x=35.38

Kellen can have 35 people at the shower.

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chubhunter [2.5K]
We know, Point slope form is written as: 
y - y₁ = m(x - x₁)

First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5

Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)

In short, Your Answer would be Option D

Hope this helps!
4 0
3 years ago
How do you know am equation has no solution?
Natasha2012 [34]
If u work it out and both sides don't equal, then there is no solution.
Example :
2x + 4 = 2x + 6
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7 0
3 years ago
Read 2 more answers
G=7/5(p-45)<br> The solution is p=__g+___<br> Simplify your answers. Type an integer or fraction.
amm1812

So firstly, multiply both sides by 5/7 (reciprocal of 7/5): \frac{5}{7}g=p-45

Next, add both sides by 45 and your answer will be: \frac{5}{7}g+45=p

7 0
3 years ago
Read 2 more answers
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
vlada-n [284]

Option B: 256 is the diameter of the bacteria after 8 hours.

Explanation:

From the given, it is obvious that the graph is an exponential function.

The general formula is given by,

y=a(b)^x

Where a is the initial population,

b is the growth rate and

x is the number of hours.

It is given that the diameter of the bacteria doubles every hour.

Then, we have,

b=2

Let us substitute the coordinate (0,1) and b=2, we get,

1=a(2)^0

1=a

Thus, substituting a=1 and b=2 in the general formula y=a(b)^x, we have,

y=1(2)^x

We need to determine the diameter of the bacteria after 8 hours.

Let us substitute x = 8 in the equation y=1(2)^x, we get,

y=1(2)^8

y=1(256)

y=256

Thus, the diameter of the bacteria after 8 hours is 256

Hence, Option B is the correct answer.

7 0
3 years ago
if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?
bulgar [2K]

Answer:

LM = 13

Step-by-step explanation:

Given

MN = 5

LN = 18

Required

Find\ LM

Since, M is between LN, we have:

LN = LM + MN

Substitute values for MN and LN

18 = LM + 5

Make LM the subject

LM = 18 - 5

LM = 13

7 0
3 years ago
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