1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verizon [17]
2 years ago
8

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a s

ystem of equations to find how many children and how many adults were in the group. (Define variables, write equations, solve, write a sentence)
Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Answer:

Adults= 7

children= 9

Step-by-step explanation:

Step one:

given data

Adult tickets to a play cost $22. Tickets for children cost $15

let adult be x

and children be y

so

22x+15y= 228------1

x+y= 11----------------2

x= 11-y

Step two:

from 1

22(11-y)+15y= 228

242-22y+15y= 228

collect like terms

-7y= 228-242

7y= 14

divide both sides by 7

x= 2

from

x+y=11

y=11-2

y= 9

You might be interested in
Please help will mark brainliest!! 15 POINTS!!
Basile [38]
Find the mean of the first four test scores first.
(Add all numbers in set and divide by how many numbers there are)
81 + 87 + 71 + 89 = 328 / 4 = 82

Then, find the mean with the 85 added as the fifth term.
81 + 87 + 71 + 89 + 85 = 413 / 5 = 82.6

The impact that the 85 had on the mean test score was that the mean/average increased by 0.6.
4 0
2 years ago
Read 2 more answers
A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili
MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

<u>B) Point estimate of true average calcium content </u>

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

=  3.678 + 7.2 =  10.878

<u>C) Determine an estimate of error standard deviation </u>

Given that ; sum of squares ( SST ) = 320.398

                   COD ( r )  = 0.86

first;  calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

       = 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

      = 83.43 / 23 - 2

∴ S ≈ 1.99

6 0
3 years ago
If a system including the quadratic equation representing the parabola and a linear equation has no solution, which linear equat
marshall27 [118]

9514 1404 393

Answer:

  D.  y=2x+6​

Step-by-step explanation:

The line cannot intersect the parabola if it has a y-intercept greater than 5 and a suitable slope. The only sensible answer choice is ...

  y = 2x +6

7 0
2 years ago
Read 2 more answers
Find the value of x by factoring x^2-9x-36=0
Citrus2011 [14]
(x+12)(x-3) Try this answer hopefully it is correct.
8 0
2 years ago
If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9​
Olenka [21]

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis

8 0
3 years ago
Other questions:
  • Solve for the given variable:<br> 14=63n
    10·1 answer
  • What is a repeating decimal between -2 1/3 and -2 1/5.
    11·1 answer
  • Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In you
    7·1 answer
  • Why does it take three copies of 1/6 to show the same amount as one copy of 1/2?
    14·2 answers
  • In the broken china plate, CD = 8 cm, OY, the perpendicular bisector of CD, = 3 cm. What is the diameter of the plate?
    11·2 answers
  • A country club bought some single golf carts that cost $7,000 each, and some double golf carts that cost $11,000 each. A
    15·2 answers
  • A semi circle will be rotated 360 about its straight edge. What three dimensional solid will be created as a result of the rotat
    7·2 answers
  • How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?
    13·1 answer
  • EXPLAIN YOUR ANSWER!!!!!! WILL BE GIVING OUT BRAINLIEST!!!!!!!!!!!!
    12·2 answers
  • Slope of -4 and goes through (-5,1)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!