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
Gwar [14]
2 years ago
5

A group of 3 children and 2 adults pay a total of $121 to take a karate class. A group of 5 children and

Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

The cost for a child is $7 and the cost for an adult is $50

Step-by-step explanation:

Let 'x' represent children

Let 'y' represent adults

The equations used to come to this answer are:

3x + 2y = 121 \\ 5x + 1y = 85

3x + 2y = 121 \\ 5x( - 2) + 1y( - 2) = 85( - 2) \\  \\ 3x + 2y = 121 \\  - 10x - 2y =  - 170 \\  - 7x =  - 49

Therefore; x = 7

5x + 1y = 85 \\ 5(7) + y = 85 \\ 35 + y = 85 \\ y = 85 - 35 \\ y = 50

You might be interested in
Given the universal set U = {v, w, x, y, z), and subsets A = {v, w, z} and B = {x, y, z), indicate the roster
lukranit [14]

If U = {v, w, x, y, z} and A = {v, w, z}, then

A' = {x, y}

(A' is the complement of A - it's the set containing all elements of U that are not in A)

If B = {x, y, z}, then

B' = {v, w}

Their their union is

A' U B' = {v, w, x, y}

8 0
3 years ago
What is the x- intercept and y-intercept for 3x-y=-6
Oxana [17]
I have no clue what that even means at all
7 0
3 years ago
Read 2 more answers
I neeedd sommeee hellppp ​
ArbitrLikvidat [17]

Answer:

1. WS

2. WX

3. ZW

4. WXY

5. STW

Step-by-step explanation:

5 0
4 years ago
A university found that 25% of its students withdraw without completing the introductory statistics course. Assume that 30 stude
Morgarella [4.7K]

Answer:

0.0106 = 1.06% probability that 2 or fewer will withdraw

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they withdraw, or they do not. The probability of an student withdrawing is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

25% of its students withdraw without completing the introductory statistics course.

This means that p = 0.25

Assume that 30 students registered for the course.

This means that n = 30

Compute the probability that 2 or fewer will withdraw:

This is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{30,0}.(0.25)^{0}.(0.75)^{30} = 0.0002

P(X = 1) = C_{30,1}.(0.25)^{1}.(0.75)^{29} = 0.0018

P(X = 2) = C_{30,2}.(0.25)^{2}.(0.75)^{28} = 0.0086

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0002 + 0.0018 + 0.0086 = 0.0106

0.0106 = 1.06% probability that 2 or fewer will withdraw

8 0
3 years ago
Carlos has 58 pencils what is the valueof the digit 5 in this number
aev [14]
Tens place or 50 is the value of the digit 5
7 0
4 years ago
Other questions:
  • Convert r =-72/12+6 sin theta to Cartesian form.
    13·2 answers
  • Simplify.
    11·2 answers
  • A cold front hit Hartford, Connecticut. The temperature dropped by 7° F each hour from 5:00 a.m. to 9:00 a.m. What was the begin
    5·1 answer
  • A triangle has side lengths of 6, 8, and 9. what type of triangle is it?
    10·1 answer
  • Find the perimeter of the figure to the nearest hundredth.
    9·1 answer
  • Which equation shows y+1/5=3x in standard form?
    11·1 answer
  • Russell runs 9/10 miles in 5 minutes. how many miles does he run in one minute
    10·1 answer
  • 0.16 which number is in the hundreds place​
    15·2 answers
  • Determine the value of x!​
    14·1 answer
  • Help please if u can
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!