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3 years ago

A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students,

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

182 children, 91 adults, 60 students

Step-by-step explanation:

The quantity of adults is x, then the quantity of children are 2x, the quantity of students is 333-x-2x=333-3x. The charge from all adults is 12x, students gave 7*(333-3x), children gave 5*2x=10x, the sum of all money is 2422

12x+ 7(333-3x)+10x=2422

12x+2331-21x+10x=2422

2331+x=2422

x=91- the amount of adults

1) 91*2=182- the amount of children

333-91-182= 60- the amount of students

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Nicole the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

frosja888 [35]

I have a feeling I've seen this question before
anyway

A=number of hours that plan A is
B=number of hours that plan B is

so

on wednesday, 7hr
5A and 6B so
5A+6B=7

on thursday, 3 hours
3 of A and 2 of B
3A+2B=3

so we gots

5A+6B=7
3A+2B=3

elimination
eliminate B's
multiply 2nd equation by -3 and add to 1st equation

5A+6B=7
-9A-6B=-9 +
-4A+0B=-2

-4A=-2
divide both sides by -4
A=1/2
A=0.5

sub back

3A+2B=3
3(0.5)+2B=3
1.5+2B=3
minus 1.5 both sides
2B=1.5
divide by 2 both sides
B=0.75

plan A lasts 1/2 hour or 0.5 hour or 30 mins
plan B lasts 3/4 hour or 0.75 hour or 45 mins

8 0

3 years ago

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What is x in this problem

o-na [289]

Answer:

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2 years ago

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I need help Hurry!!!

Hunter-Best [27]

Step-by-step explanation:

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3 years ago

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A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-‐

cricket20 [7]

Answer:

The final curse load of the local gym instructor is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-‐impact aerobics = 8/14.25 = 0.5614

Low-‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-‐impact aerobics = 0

Low-‐impact aerobics = 4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.

The final course load is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

7 0

3 years ago

Thomas Vega offers to pay $59 of the March cell phone bill. Each of the other 4 members of the family agrees to split the rest o

bija089 [108]

59×2=118 cost of bill.
59÷4=14.75 for the other 4 if the bill was 118 assuming Thomas pays half.

or...59 ×5=295
assuming they all pd 1/5 of the bill

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3 years ago