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scZoUnD [109]
2 years ago
13

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?
Mathematics
2 answers:
Ray Of Light [21]2 years ago
8 0
35 People.

32.50 • 35= 1,137.50

1,1137.50 + $350 = 1,487.50

If you invited 36 people, the max cost would be over $1500.

1,487.50 + 32.50= 1,520

The answer is 35 people.
atroni [7]2 years ago
5 0
X is number of people
$350 + 32.50x <1500
32.50x< 1500-350
32.50x < 1150
X < 1150/32.5O
X < 35.38
So answer is 35 is the most she can without going over $1500
X <
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The slope of the line below is -2. Use the coordinates of the labeled point to
Vilka [71]

Answer:

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)

Step-by-step explanation:

Incomplete question:

There is no point to complete the equation.

As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.

The linear equation can be written generically as:

y(x)=mx+b\\\\y(x)=-2x+b

If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:

y_0=-2x_0+b

Then, we can calculate b as:

y_0=-2x_0+b\\\\b=y_0+2x_0

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)

6 0
3 years ago
What times what equals 168 besides 84 times 2?
Art [367]

Answer:

12 & 14

Step-by-step explanation:

8 0
2 years ago
The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

                           (y-8) y = 240

                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

4 0
3 years ago
Find thee consecutive even integers such that the sum of twice the smallest number and three times the largest is 42
tekilochka [14]

Answer:

7,8,9

Step-by-step explanation:

The closest you can get to 42 with that equation and it has to use consecutive intergers is 41 and these numbers get you there.

4 0
3 years ago
2x+4=16 what is the solution?
Oxana [17]

X=6 because 2*6=12 and 12+4=16

3 0
2 years ago
Read 2 more answers
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