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
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

You might be interested in
someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Ore
Volgvan

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

\frac{460+475}{2}=467.5

The mean is:

\frac{295+475+345+595+538+460}{6}=451.33

The standard deviation is:

\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

3 0
3 years ago
Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a green
torisob [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> \alpha  = 0.05 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  

Step-by-step explanation:

From the question we are told that the claim is

     The mean growth rates of all four species are equal.

The  null hypothesis is  

             H_o  :  \mu _1 =  \mu_2 = \mu_3  =  \mu_4

Th alternative hypothesis is    

             H_a: at \ least \ one \ of \  the \  means \ is \not\ equal

From question the p-value is p-value  =  0.015

  And since the p-value <  \alpha so the null hypothesis will be rejected

So  

   The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> \alpha  = 0.05 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  

7 0
3 years ago
What is the slope of the line that contains the points (-2,5) and (6-3)
sashaice [31]

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the <em>second y</em> minus <em>the first y</em> which in this case is -3 - 5 over our<em> second x </em>minus <em>our first x </em>which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have <em>m = -1</em>.

The variable that's used to represent slope is <em>m</em>.

3 0
3 years ago
The measure of &lt;1<br> A 60<br> B 120<br> C 240
Georgia [21]
The measurement of angle 1 is 60
8 0
3 years ago
-2/7 divided by (-8/21)
iogann1982 [59]

Answer:

\frac{1}{12} or 0.08333...

Step-by-step explanation:

To divide by a fraction, multiply the first fraction by the opposite of the second fraction, or the reciprocal.

\frac{-2}{7} / \frac{-8}{21}  = \frac{-2}{7} * \frac{21}{-8}  = \frac{1}{3} * \frac{1}{4}  = \frac{1}{12}

give me brainliest pleaseeeeee

3 0
3 years ago
Other questions:
  • If Michelle wall 5 m how many inches does she walk
    14·1 answer
  • Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of ballo
    6·1 answer
  • (x - 5)(x + 2) Polynomial
    14·1 answer
  • A rope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. One
    9·2 answers
  • Solve: ax-b=c and 3x-b=a (these are two seperate questions)
    8·2 answers
  • What is the slope of the line which passes through (1, 4) and (0, 1)?
    15·1 answer
  • How do you inverse 3x-4y=6
    10·2 answers
  • Find x (round to the nearest tenth)
    5·1 answer
  • Hey guys i need this one fast
    14·2 answers
  • A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $3 for children. The total co
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!