REASONING A high school band was selling ride tickets for the school fair. On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. What is the price for each child ticket and each adult ticket?



a. Select a system of equations to represent this situation. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.

A)
250x+120y=550 ; 180x+150y=420

B)
180x+150y=420 ; 180x+120y=420

C)
250x+150y=550 ; 180x+120y=420

D)
250x+150y=420 ; 180x+120y=550

Answer:

see explanation

Step-by-step explanation:

Given

3 < 5 + 6h < 10 ( subtract 5 from each interval )

- 2 < 6h < 5 ( divide each interval by 6 )

- [tex]\frac{1}{3}[/tex] < h < [tex]\frac{5}{6}[/tex]

Answer:

6[tex]x^{5}[/tex] + 5x² - 2x + 3

Step-by-step explanation:

Given

([tex]x^{5}[/tex] + 2x² - 4) - (-5[tex]x^{5}[/tex] - 3x² + 2x - 7)

Remove the parenthesis on the first factor and distribute the second by - 1

= [tex]x^{5}[/tex] + 2x² - 4 + 5[tex]x^{5}[/tex] + 3x² - 2x + 7 ← collect like terms

= 6[tex]x^{5}[/tex] + 5x² - 2x + 3 ← in standard form

Answer:

-8 and 4 are 6 away from -2

Step-by-step explanation:

------/----------------------------------------/----

-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

Answer:

-8

Step-by-step explanation:

-4 | 5+m|

Let m = -3

-4 | 5+-3|

Solve inside the absolute values first

-4  |2|

The absolute value of 2 is 2

-4 * 2

-8

Answer:

the value of the expression is -8

Step-by-step explanation:

Answer: -23

Step-by-step explanation:

Since we are given the value of m, all we have to do is to plug m into the expression and solve.

-23(-38+39)                  [parenthesis]

-23(1)                            [multiply]

-23

Now, we know that the expression is -23 when m=-38.

Answer:

9.75

Step-by-step explanation:

instructions in pic :)

Answer:

9.75

Step-by-step explanation:

g = 3

39(-0.5g + 2)²

plug in g

39(-0.5•3 + 2)²

solve within parentheses

39(-1.5 + 2)²

39(0.5)²

solve the exponent

39(0.25)

multiply

9.75

Answer:

y=5.44

Step-by-step explanation:

47+16y=134 subtract 47 from both sides

16y=87

y=5.44

Answer:

Its 17 feet and 11 units

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out equation

3x + 6 = 18

Step 2: Subtract 6 on both sides

3x = 12

Step 3: Divide both sides by 3

x = 4

Answer:

4

Step-by-step explanation:

3x +6 =18

3x =18 - 6

3x =12

x =12 :3

x =4

Answer:

b=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The 3rd answer i think

Step-by-step explanation:

Answer:

the cougars scored 1 point and the eagles scored 8 points

Step-by-step explanation:

if the cougars would have scored 3 times more points they would have been at which means they scored 1 point because 1x3=3. and if the eagles scores 7 more points than the cougars they would have scored 8 points because 1+7=8.   :)

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

[tex]\sqrt[3]{3375}[/tex]

= [tex]\sqrt[3]{3^3(5^3)}[/tex]

= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]

= 3 × 5

= 15

Answer: The answer is 0

Answer:

Step-by-step explanation:

When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.

Angles at successive corners of any regular polygon are congruent adjacent angles.

Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.

Answer:

7 Centimeters (CM)

Step-by-step explanation:

You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.

You are increasing all sides by a scale factor of 3.

This gives each side a length of 21cm

Hope this helped!

Answer:

7ft

Step-by-step explanation:

A square has 4 congruent sides so that means all sides are the same.

28 ÷ 4 = 7

Answer:

15 students on each bus!

Step-by-step explanation:

100-10(with parents)

90÷6(how many busses)

15 students on each

The students travelling on each bus are 15.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Total number of students is given as 100.

The students to travel on car are 10.

Then, the students to travel on bus are given by following operation as,

Total students - Students to travel on car

⇒ 100 - 10 = 90

Now, the students on each bus can be obtained by using the division operation as below,

Students to travel on bus ÷ Total number of bus

⇒ 90 ÷ 6 = 15

Hence, the number of students on each bus is obtained as 15.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Answer:

x=3

Step-by-step explanation:

Step 1: Add two to 7 and inverse the minus 2

3x=7+2 3x=9

Step 2: Divide each number by 3.

3x/3=x and 9/3=3

so x=3

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

We can write a ratio:

15/5 = 36/x

Let "x" equal the unknown part of the triangle.

Solution:

15/5 = 36/x

~Cross multiply

15x = 180

~Divide 15 to both sides

x = 12

Best of Luck!

Answer:

6000 seconds.

Step-by-step explanation:

Given:

A car covers a distance of 14.75km in 20 minutes.

find:

In how many seconds, will it cover a distance of 73.75km

solution:

the idea is ratio and proportion to get the time based on 73.75 km from 14.75km./20min. in seconds.

 14.75 km.    =  73.75 km    --------> cross multiply

   20 min.              t

14.75 (t) = 73.75 (20)

14.75 (t) = 1475

t =    1475  

      14.75

t = 100 min.  -----------> convert min to seconds.

100 min. x   60 secs.      =          6000 seconds

                      1 min.

therefore,

the time in seconds to travel a distance of 73.75 km is 6000 seconds.

Answer:

z = - 6 - 14x

Step-by-step explanation:

Given

z - 7x(- 2) = - 6 , that is

z + 14x = - 6 ( subtract 14x from both sides )

z = - 6 - 14x

Answer: -11 degrees Fahrenheit

Step-by-step explanation: