John and 4 friends are going out for pizza for lunch . They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model the situation, and find the cost of one large drink.

Answers

Answer 1

Answer:

The cost of one large drink is $1.50.

(13.5-10) + 4 = (7.5 ÷ 5) = $1.50

Step-by-step explanation:

The first step is to minus the $10.00 from the $13.50, which gives us $3.50.

13.5 - 10

We've done this because the pizza is irrelevant to what we're trying to figure out, so we subtract the price of the food, which as we already know is $10, to isolate the price of the 5 drinks to make it easier to find the price of just one.

Once we've done that, we're going to add on the $4.00 they got discounted to the $3.50 in order to find the original price of the drinks without using the gift certificate.

(13.5 - 10) + 4

This gives us $7.50, or the price of 5 large drinks. But we're only looking for the price of one. So we're going to divide the 7.50 by the total number of drinks ordered.

(13.5-10) + 4 = (7.5 ÷ 5)

This gives us 1.5, or $1.50.

(13.5-10) + 4 = (7.5 ÷ 5) = $1.50

Hope this was helpful!

Related Questions

Please help ASAP

These dogs show hourly earnings for a sample of workers in two different careers

Answers

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

What is Center and Spread ?

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

To know more about Center and Spread

https://brainly.com/question/13027238

#SPJ5

Answer:

A and D

Step-by-step explanation:

Using the equation y = 2x + 5 , what would the input need to be for an output of -45?

a. -20

b. -25

c. -85

d. -95

Answers

Answer:

-25

Step-by-step explanation:

Essentially, y is your output and x is your input.

Here's your base equation: y = 2x + 5

Knowing the information above, let's plug it in:

-45 = 2x + 5

(Subtract 5 from both sides)

-50 = 2x

(Divide both sides by 2 to isolate x)

-25 = x

And there you go.

Answer:

input is -25

Step-by-step explanation:

y = 2x + 5

The output is -45 which is y

-45 = 2x + 5

Subtract 5 from each side

-45-5 = 2x

-50 = 2x

Divide each side by 2

-50/2 = 2x/2

-25 = x

Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

Answers

Answer:

The exact solution for this equation would be (2.222, -11.889)

Step-by-step explanation:

Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.

Answer:

Consider the system of equations given in slope-intercept form.

y = −1

3

x + 17,

y = 5x - 23

The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

(7.5, 14.5)

Step-by-step explanation:

edge 2020

One teacher wants to give each student 10/9 slices of pizza. If the teacher has 20 slices of pizza, then how many students will she be able to hand out pizza to?

Answers

Answer:

18 students

Step-by-step explanation:

This is a division problem.

20 divided by 10/9

20/(10/9) =

= 20/1 * 9/10

= 180/10

= 18

18 students - you divide 20 by 10/9 and then the answer is 18

(5x - y - 3z) + (3x - 2y - 6z)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

8x - 3y - 9z

▹ Step-by-Step Explanation

(5x - y - 3z) + (3x - 2y - 6z)

Remove the parentheses

5x - y - 3z + (3x - 2y - 6z)

Collect like terms

8x - y - 3z - 2y - 6z

Final Answer

8x - 3y - 9z

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 8x - 3y - 9z

Step-by-step explanation:

(5x - y - 3z) + (3x - 2y - 6z)

Remove Parenthesis

5x - y - 3z + 3x - 2y - 6z

Add Like Terms

8x - 3y - 9z

What are the x-intercepts of the parabola?

graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2


(4.5, 0) and (5, 0)
(0, 4.5) and (0, 5)
(0, 5) and (0, 4)
(5, 0) and (4, 0)

Answers

Answer:

(5, 0) and (4, 0)

Step-by-step explanation:

According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.

Answer:

(4,0) and (5,0)

Step-by-step explanation:

The solutions of a parabola is when the parabola crosses the x- intercept.

17. A gardener is installing a fence around his garden. Let x represent the width of
the garden, in feet. The perimeter of the graden is 8x + 8. Which expression
represents the length of the garden?
a. 2x + 2
b. 3x +4
c. 6x + 8
d. 8x + 8 - 2x

Answers

Hey there!

Answer:

B. 3x + 4 ft.

Step-by-step explanation:

Remember that:

Perimeter of a rectangle: P = 2l + 2w

Given:

P = 8x + 8

w = x.

Plug the given information into the equation:

8x + 8 = 2l + 2x

Subtract 2x from both sides:

6x + 8 = 2l

Divide both sides by 2:

(6x + 8)/2 = 2l/2

3x + 4 = l.

Therefore, the length of the garden is:

l = 3x + 4 ft.

That answer is b.) 3x +4

The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find
what the length of the sides should be. Solve the inequality by showing all of your work.

Answers

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

1. Two trucks, truck A and truck B, are driving across the country taking the same route.
After 1 day, truck A was 117 miles behind truck B. The next day, truck A drove 185 miles
more miles than truck B. The third day, truck B drove 48 miles more miles than truck A.
Where is truck A in relation to truck B after the third day?
A. 20 miles ahead of truck B
B. 116 miles ahead of truck B
C. 254 miles behind truck B
D. 350 miles behind truck B

Answers

C!! 254 miles behind truck B

C--254 miles behind truck B

Simplify the radical expression

Answers

Answer:

[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]

What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2 ?

Answers

You have to solve the problem to figure it out


x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?

Answers

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

Answer:

B. The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Assuming that this is the one on edge, it should be this answer!

Please help i will mark brainliest!​

Answers

Answer:

B and C are the answers

Step-by-step explanation:

What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers? What is the probability of choosing two black markers if the first marker is put back before the second is drawn?

Answers

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

mutually exclusive..​

Answers

Answer:

there are no answer choices

Step-by-step explanation:

sorry can't help

Barika, Akeelah, and James raised $76.23 for their dance team. James raised twice as much as Barika, who earned 2.60 less than Akeelah. If x = the amount raised by Akeelah, choose the expressions that represent the amount each other player raised. x – 2.60 2x + 5.20 .5x + 2.60 2x – 5.20

Answers

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

Learn more about algebra:

https://brainly.com/question/30166597

solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44

Answers

Answer:

for the first one ‘x‘: x = -3/2 y -3

for the first one ‘y’: y = -2/3x-2

for the second one ‘x’: x= 2/3 y + -22/3

for the second one ’y’: y = 3/2 x + 11

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO BEST EXPLANATION!! How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6?

Answers

Answer:

There are 360 such numbers.

Step-by-step explanation:

The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like

123456, 123465, 123546,123564,.... 654321

The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.

6! = 6*5*4*3*2*1 = 720

We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.

However, to be divisible by six, we need a number divisible by three AND divisible by two.

Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.

Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.

Answer:

360 numbers

Step-by-step explanation:

6-digit  numbers => the numbers have the form abcdef

f  3 values, f = {2; 4; 6}

a  5 values;   b  4 values, c  3 values,  d   2 values,   e  one value,

=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers

Simplify the given expression. 2x^2-2/x/2(x^2+9)/16x^2-29x

Answers

Answer:

work is shown and pictured

here solution and the steps

Please Help Me!! Worth 25 points!!

Answers

Answer:

6x²-2=13

6x²=13+2=15( transposition method)

x²=15/6

x=√15/6

Answer:

It is the second one.

Step-by-step explanation:

6x²=17

x²=17/6

x=±sqrt(15)/6

A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm

Answers

Answer:1,3,5,7,

Step-by-step explanation:

When you are dilating the perimeter grows by the scale factor, and when you are dilating the area, it grows by the scale factor squared(16).

Answer:

1,3,6,7

Step-by-step explanation:

Edgy 2022

A rider sits on a motorcycle. The motorcycle has a mass of 237 kilograms.The rider has a mass of 89 kilograms. What is the total mass of the motorcycle and the rider????

Answers

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?

Answers

Answer:

6.25

Step-by-step explanation:

The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.

425 ÷ 68 = 6.25

Answer:

It is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

I got it right on my quiz!

For each of the sequence below identify whether there is a common ratio. If there is identity what it is. If there is not a common ratio type none.

Answers

yes

1.-3

2.3

3.10

4.2

5.3

What is the x-intercept of y=x^2+6x-8

Answers

Answer:

(4,0) , (2,0)

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

The answer is (4,0) (2,0)

Apply this definition and the properties of exponents to represent the expression 7 3/4 in radical form

Answers

Step-by-step explanation:

7^3/4=

[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]

=

[tex] \sqrt[4]{343} [/tex]

Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope

m = (-2 - 1)/(1 - 2)

m = 3

Step 2: Find b

y = 3x + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 3: Rewrite linear equation

y = 3x - 5

Step 4: Graph using graphing calc

A bakery mixes cookie dough in large batches. For chocolate chip cookies, 10 cups of sugar and 20 cups of flour are needed

Answers

Answer:

around 30

Step-by-step explanation: dont quote me though

gooooooooooooooooooooooooooooooooooooooooooooooooooooooood moring got another question

Answers

Answer:

[tex]x[/tex] = 12

Step-by-step explanation:

This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

here are some numbers: 8, 11, 13, 18, 25, 37 8, 13 , 18 is an arithmetic progression and the rule is to add 5 use three of the numbers to make a different arithmetic progression Describe the rule

Answers

Answer:

Progression: 11, 18, 25

Rule: Add 7

Step-by-step explanation:

Given

List of numbers: 8, 11, 13, 18, 25, 37

Sample Progression: 8, 13, 18; with common difference of 5

Required

Form a different progression using any three listed numbers

To solve this; we'll make use of trial and error methods;

NB: I've tried several numbers; So, I'll just stick to the one that works

To start with;

Select ->11

Add 7 to 11: 11 + 7 - > 18

Add 7 to 18: 18 + 7 -> 25

With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7

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