Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost $8.00 and tickets for children (y) cost $4.50. Which inequality represents the number of adults and children who can go to a show using the $30 gift certificate?

Answers

Answer 1
8+4.50= 12.5
12.5 times 3= 37.5 which is higher than 30 therefor it has to be 2 because 12.5 times 2= 25

Answer= 2
Answer 2

The inequality that represents the number of adults and children who can go to a show using the $30 gift certificate is:

x < 4 and y < 7.

Where x is the number of children and y is the number of adults.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost = $8.00

Children's tickets (y) cost =  $4.50

Now,

The number of children who can go to the theater.

4.50y = 30

y = 30/4.50

y = 6.67

This means,

y < 7 _____(1)

Now,

The number of adults who can go to the theater.

8x = 30

x = 30/8

x = 3,75

x < 4 ______(2)

Thus,

From (1) and (2).

The inequality represents the number of adults and children

x < 4 and y < 7.

Learn more about inequalities here:

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C) $540

Step-by-step explanation:

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Step-by-step explanation:

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Which linear function is graphed on the grid?
a - g(x) = 2/15x - 6
b - g(x) = 2/15x + 45
c - g(x) = 15/2x - 6
d - g(x) = 15/2x + 45

Answers

Answer:

G(x)=2/15x-6

Step-by-step explanation:

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,

x/(-6) + y/45 = 1

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More about the linear equation link is given below.

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what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

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have a great day :D

The answer choices are 11 1 2.48 6

Answers

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.

Answers

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The slope-intercept form of an equation looks like this:

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The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

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Step-by-step explanation:

what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case

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b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
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Answers

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

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We are converting 2.5 days to hours

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Cross Multiply

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Hence,our ratio

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We convert 3 m to mm

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3 m = x mm

Cross Multiply

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x mm = 3000mm

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We convert km to m

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