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aliina [53]
3 years ago
13

Mr.Johnson purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under

12. How many tickets for children under 12 did Mr.Johnson purchase?
Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0

Answer:

15

Step-by-step explanation:

Step-by-step explanation:

Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation

x+y=20

Making x the subject then x=20-y

Considering the cost of each ticket

15x+10y=225

Substituting x with 20-y then

15(20-y)+10y=225

300-15y+10y=225

Collecting like terms

300-225=15y-10y

75=5y

Y=75/5=15

To find x, we already know that x=20-y hence x=20-15=5

Therefore, children tickets are 15 while adult tickets are 5.

Read more on Brainly.com - brainly.com/question/15595662#readmore

taurus [48]3 years ago
3 0

Answer:

15

Step-by-step explanation:

Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation

x+y=20

Making x the subject then x=20-y

Considering the cost of each ticket

15x+10y=225

Substituting x with 20-y then

15(20-y)+10y=225

300-15y+10y=225

Collecting like terms

300-225=15y-10y

75=5y

Y=75/5=15

To find x, we already know that x=20-y hence x=20-15=5

Therefore, children tickets are 15 while adult tickets are 5.

The question only needs us to know the children tickets, y which is 15

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slavikrds [6]

Answer:

1. $0.24

2. 89.2 miles

Step-by-step explanation:

To get the unit price, divide the total price by the amount that was purchased.

1. 3.12/13 = $0.24

For the second one, get the distance traveled per hour first then multiply by 8.

22.3 / 2 = 11.15

11.15 x 8 = 89.2

6 0
2 years ago
Factorise completely
Andreyy89
1. Number that adds up to -12 and multiplied by the same # that gives u -13. Set it up like this because both are negative so, u need 1 negative and 1 positive.
(x-13)(x+1)

2. Same rule applies. GCF
8y(4y+1)

3. (x+3)(x-3)
4 0
2 years ago
: A personal computer manufacturer buys 36% of its chips from Japan and the rest from the United St...
meriva

Answer: 0.9862

Step-by-step explanation:

Given : The probability that the chips belongs to Japan: P(J)= 0.36

The probability that the chips belongs to United States : P(U)= 1-0.36=0.64

The proportion of Japanese chips are defective : P(D|J)=0.017

The proportion of American chips are defective : P(D|U)=0.012

Using law of total probability , we have

P(D)=P(D|J)\times P(J)+P(D|U)\times P(U)\\\\\Rightarrow\ P(D)=0.017\times0.36+0.012\times0.64=0.0138

Thus , the probability that chip is defective = 0.0138

Then , the probability that a chip is defect-free=1-0.0138=0.9862

3 0
3 years ago
Select the solution to the graph from the following points. Select all that apply.
stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ m=\frac{1-0}{0--3}=\frac{1}{3}

- Substitute the value of m in the form of the equation

∴ y = \frac{1}{3} x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = \frac{1}{3} x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = \frac{1}{3} (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = \frac{1}{3} (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = \frac{1}{3} (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = \frac{1}{3} (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = \frac{1}{3} (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0
3 years ago
Can someone help me on this question?
Semenov [28]
Use the formula: A= (a+b/2)h
A=(8+5/2)6
A=39
The answer is the light blue box, 39cm^2
4 0
2 years ago
Read 2 more answers
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