After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?


Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answer:

x > 2 or  x < 1/2  

Step-by-step explanation:

|4x - 5| > 3

         Case 1                         Case 2

  4x - 5 > 3                           - (4x - 5) > 3

  4x > 5 + 3                          - 4x + 5 > 3

   4x > 8                               -4x > - 5 + 3

      x > 2                               -4 x  > - 2

                                               -x > -2/4   multiply by -1  to make "x" positive and

                                                                this action with change all signs :  

                                                                 any negative becomes positive and

                                                                 > becomes <

                                               x < 2/4

                                                x < 1/2              

Answer:

A.  21.

Step-by-step explanation:

4x + 2 = 31 + 55  (external angle of a triangle theorem).

4x + 2 = 86

4x = 86 - 2

4x = 84

x = 84/4 = 21.

Answer:

49 cents that is the answer

Answer:

The sale price of the doll is $30.6

Step-by-step explanation:

The original price of the doll

= $36

Discount:-

= 15% of 36

= 15%×36

= 15/100×36

= 5.4

Sale price of the doll

= original price - discount

= $(36 - 5.4)

= $30.6

Answer:

46 boxes of nails

Step-by-step explanation:

She has $187 to spend, the maximum.

187/4 = 46.75

Since she cannot buy 0.75 of a box of nails, she can only buy 46. So she is left with an extra $3 and buys 46 boxes of nails.

Hope this helps, and please mark me the brainliest! :D

Answer:

B

Step-by-step explanation:

-16x - 32

We can factor out -16 from the -16 and -32 which leads us to this equation:

-16 (x + 2)

Meaning B would be the correct answer

Answer: B. -16(x + 2)

Step-by-step explanation:

The GCF, or greatest common factor, of -16 and -32, is -16.

Thus, distribute out -16 to get -16(x + 2)

Hope it helps :) and let me know if you want me to elaborate.

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

Answer: $85.56

Step-by-step explanation:

$35.30 +$17.50= $52.80

$52.80+$25 = $77.80

$77.80-$6.99  = $70.81

$70.81+$14.75 = $85.56

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

Take LCM of 3 and 5 and u get your answer

Answer:

Graph 1.  (4, 4).

Graph 2. (4, -4).

Step-by-step explanation:

The solution is the point where the lines intersect.

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table

m = [tex]\frac{-18-0}{4-(-5)}[/tex] = [tex]\frac{-18}{4+5}[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.

Answer:

x = 14

angles are 96, 42, 42

Step-by-step explanation:

sum of all angles in a triangle is 180

3x + 3x + 96 = 180

6x + 96 = 180

6x = 180 - 96

6x = 84

x = 14

angles are 96, 3x, 3x

96, 3*14, 3*14

96, 42, 42

Answer:

x=14

Step-by-step explanation:

3x + 3x + 96 = 180º    

6x +96º = 180º

6x = 180º - 96º

6x= 84

x = 14

Answer:

which kind?

Step-by-step explanation:

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

Answer:

ask your momma or dad bozo!!!!!!

Step-by-step explanation:

Show all the calculation if it is a numerical question.

Answer:

[tex]x<12[/tex]

Step-by-step explanation:

[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]

Option A is correct, x<12 represents the solution set of 5(x+5) <85

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ7

Answer:  2/9 gallon per shake

Step-by-step explanation:

(2/3)/3

2/9 gallon per shake

(2/9)*(3) = 6/9 or 2/3

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

Answer:

not sure what that a) means but...

P = 300/8 = 150/4 = 75/2

Answer:

Answer: 19

Step-by-step Explanation:

P=x

x= 3 -(-8)(2)

x = 3 --16

(A negative plus a negative equal a

positive)

x= 19

Answer:

The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].

Why?

To find the correct answer we have to isolate r from the other numbers. To isolate r  from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.

Good luck!

Answer:

refer to the picture attached for steps

Answer:

Chris has 25 Marbles

Step-by-step explanation:

If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.

Hope this helps!!

Answer:

b. 5

Step-by-step explanation:

Answer:

5<6 so tbh I have no idea what this is I just need point

Answer:

a₁₅ = 122

Step-by-step explanation:

Arithmetic sequence formula:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.

For your given sequence:

[tex]10, 18, 26,34,42,...[/tex]

a₁ is 10

n is 15 (15th term)

d is 8 (each term increases by 8 over the last)

Plug those 3 variables in, and solve for a₁₅:

[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]

Answer:

x.=6 y=7

Step-by-step explanation:

glad glad I could help

Answer:

x = 6

y = 7

Step-by-step explanation:

Side AB and side DC is equal so let's put it in a equation.

2y - 8 = y - 1

Use APE or Additive Property of Equality\

2y - y = 8 - 1

y = 7

So the value of y is 7.

Now substitute it to line BC.

y + 6

7 + 6

= 13

Since line BC and line AD has equal sides, let's put it in a equation.

2x + 1 = 13

2x = 13 - 1

2x = 12

Use DPE or Division Property of Equality

2x/2 = 12/2

x = 6

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

y=(2x-3)^2 + 7

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)