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Veseljchak [2.6K]
3 years ago
10

adult tickets to a play cost 22 tickets for children cost 15 tickets for a group of 11 people cost a total of 228 write and solv

e a system of equations to find how many children and how many adults were in the group
Mathematics
1 answer:
Lorico [155]3 years ago
5 0
Adult= A
Children= C

First equation:
A+C= 11
A= 11-C

Second equation:
228 total price includes 22dollar x adult and 15dollar x children ticket price. Write the equation:
228= 22A+15C (substitute above value for adult)

228= 22(11-C) + 15C
228= 242-22C+15C
228 - 242 = 7C
14 = 7C
C= 2 (there are 2 children in the group)

Find adult number, using 11= A+C equation,
11= A+2
A= 9

Check: (9x22) + (2x15) = 228
198 + 30 = 228

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Find ordered pair that is solution for liner equation 4x - 5y=20
Nat2105 [25]

Answer:

(0,-4) (5,0)

Step-by-step explanation:

4x-5y=20

First, we must put the equation into slope intercept form: y= mx+b

5y=4x-20=y=4/5x-4

The y intercept, by definition, is b. In this scenario, b is -4.

One ordered pair that works is (0,-4).

Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:

  1. 0=4/5(x)-4= 4=4/5x
  2. 4x=20
  3. x=5

Therefore, (5,0) works as well!

3 0
3 years ago
Simplify the following expression and show your work in details please .
wel

Answer:

9-2b

Step-by-step explanation:

Set up equation:

9 - 8b + 6b

Add like terms

9 - 2b

6 0
3 years ago
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Combine like terms in the following expression:<br> 3x 10 - 5x + 10<br><br> Your answer:​
Allushta [10]

Answer:

= -2x

Step-by-step explanation:

3x and -5x are like terms and -10 and 10 are also like terms. like terms can be added together

= -2x cause the 10's cancel out

4 0
3 years ago
First and second place in the contest use a ratio to share a cash prize when first place pays $100 second please pay $60 how muc
Talja [164]

100/60 = x/36

Cross Multiply

3600 = 60x

x = 60

First place pays $60 when second place pays $36.

⭐ Please consider brainliest! ⭐

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4 0
3 years ago
F(x)=x3 −4x even odd or neither
Dennis_Churaev [7]

The answer is neither.

Let's take an odd number and substitute.

  • f(3) = 3³ - 4(3)
  • f(3) = 27 - 12
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Now, let's take an even number.

  • f(4) = 4³ - 4(4)
  • f(4) = 64 - 16
  • f(4) = 48 (even)

Since both even and odd numbers are possible, it is neither.

4 0
2 years ago
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