John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink

Answers

Answer 1

Answer:

cost of one drink: $1.70

Step-by-step explanation:

P = price of pizza

L = Price of each large drink

Gift certificate discount =$ 7

Net paid= $12.10

P +3L -7 = 12.10

14 +3L -7 =12.10

7+3L =12.10

3L = 12.10 -7 = 5.10

 L = $1.70 for each large drink

hopefully this helped :3

Answer 2

Answer: The equation to model this situation is  3d + $14.00 – $7.00 =     $12.10 and the cost of one large drink is $1.7 .

Step-by-step explanation:

As given

John and 2 friends are going out for pizza for lunch.

They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.

let us assume that the numbers of large drinks are represented by d .

Than the equation becomes

Total money spend = Number of drinks × d + Pizza cost  - Gift certificate amount .

Putting all the values in the above

12.10 = 3d + 14.00 - 7.00

Simplify the aboves

12.10 = 3d + 14 - 7

12.10 = 3d + 7

12.10 - 7 = 3d

5.1 = 3d

d = $ 1.7

Therefore the equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .


Related Questions

Need help quick quick quico

Answers

Answer:

7 batches

Step-by-step explanation:

Jada and jack are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Jada earns $9 an hour at her job and her allowance is $8 per week. And Jack earns $7.50 an hour and his allowance is $16 per week. How many hours do Jada and Jack need to work in order to save the same amount of money in one week?

Answers

They would both need to work 5.3333 hours.
8+9x=16+7.5x
9x=8+7.5x
1.5x=8
x=8/1.5
or 5.3333

Paige launched a ball using a catapult she built. The
height of the ball (in meters above the ground) t seconds
after launch is modeled by
h(t) = -5t2 + 40t
Paige wants to know when the ball will hit the ground.
1) Rewrite the function in a different form (factored
or vertex) where the answer appears as a number in
the equation.
h(t) =
2) How many seconds after launch does the ball hit
the ground?
seconds

Answers

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:


x + y = 6
X - 4y = 1
Find the solution of the system of equations by using
elimination.

Answers

Answer:

x=5, y=1

Step-by-step explanation:

First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...

x + y = 6

x - 4y = 1

x + y = 6

-x + 4y =- 1

Now you can eliminate the x variable by addition process. It becomes like this...

x + y = 6

-x + 4y =- 1

5y=5

y = 1

Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .

When y=1, substitute into x + y = 6

x + 1 = 6

x = 6-1

x = 5

Hooray! Now you have the value of x and y.

x= 1 and y=5.

I hope you will understand my explanation. Bye!

A taste test asks people from Texas and California which pasta they preferred brand a or brand b this table shows the results. A person is randomly selected for those tested. What is the probability that the person is from Texas given that the person prefers Brand b? Round your answer to two decimal places.

Answers

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

(–2, 0)
(–2, 0) and (2, 0)
(–2, 0) and (3, 5)
no solutions

Answers

Answer:

c

Step-by-step explanation:

c

Answer:

the answer is C ;D

Step-by-step explanation:

Hey loves. Again, needing help with a math question.When will this end? Never, or at least until I get it.:). Help is much appreciated

Answers

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.

A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?

Answers

Answer:

A.) 5

Step-by-step explanation:

the answers for me are 5, 5.5 ,6 ,6.5

A line of best fit will show that the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes

What is a line of best fit?

A line of best fit in a line graph is the line that allows for equal amount of outliers to the left and to the right of the line.

The line plot of the data above will have time on the horizontal axis and temperature on the vertical axis.

Plotting the points on the graph and drawing a line of best fit will show that the time at which the temperature will reach 100 °C is 6.5 minutes.

Therefore, the time at which the temperature will reach 100°C, the boiling point of water is 6.5 minutes.

Learn more about line of best fit at: https://brainly.com/question/1441182

If f(x) is the total cost, in dollars, of x candles, which of the following statements best describes the meaning of f(2)=6

Answers

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

Driving on the highway, you can safely drive 60 miles per hour. “How far can you drive in ‘h’ hours?” What is the range of the function which defines this situation?
A. 60
B.the number of hours you drive
C.the amount of gas you use
D.the distance you drive

Answers

Answer:

D.the distance you drive

Step-by-step explanation:

The range of the function is the values of the output

h is the input

60h is the output

60 = miles driven = distance

Answer:

the answer would be D. the distance you drive

Step-by-step explanation:

because i took the quiz and put this answer and got it right

If 18% of q is 27 , what is 27% of 2q

Answers

In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.

First, let's set up and solve the equation for 18% of q is 27.

18 / 100 = 27 / q

100q = 486

q = 4.86

Next, we'll find the value of 2q.

2(4.86) = 9.72

Finally, we'll set up a proportion and solve for 27% of 2q.

27 / 100 = x / 9.72

100x = 262.44

x = 2.6244

If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).

Hope this helps!! :)

Answer:

81

Step-by-step explanation: Let's first find the value of q

[tex]18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\[/tex]

Now we can find 27% of 2q

[tex]27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81[/tex]

HURRY ILL GIVE YOU BRAINLY ;DD

Answers

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A.) 4/100

B.) 5,250,000

C.) C. 6/100

Hope this helped!!  ٩(◕‿◕。)۶

Answer:

A) 4/100

B) 5,250,000

C) C) 6/100

Step-by-step explanation:

A) the 4 is in the hundredths place, so it’s worth 4/100.

B) 5,250,000. (250,00 is a quarter million)

C) the 6 is in the hundredths place, so it’s worth 6/100.

can someone please help me?

Answers

Answer:

-1

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

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

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

|3x+9|= 30

Answer: x=7, -13

Answers

Answer:

[tex]\boxed{x=7, \: x=-13}[/tex]

Step-by-step explanation:

[tex]|3x+9|= 30[/tex]

Solve for absolute value.

There are two possibilities.

One possibility:

[tex]3x+9=30\\3x=21\\x=7[/tex]

Second possibility:

[tex]3x+9=-30\\3x=-39\\x=-13[/tex]

To which set or sets below does the number -7/8 belongs to ?

Answers

Answer:

-7/8

Step-by-step explanation:

If log3=0.4771 and log2=0.3010,Find the value of log12

Answers

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : [tex]log (a*b) = log a+logb[/tex]

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x

Answers

Answer:

x=7/5

Step-by-step explanation:

Original dimensions

Length=11 meters

Width=5 meters

Each dimension reduced by x meters

L=11-x

W=5-x

Length/width=ratio of length/ratio of width

11-x/5-x = 8/3

Cross product

(11-x)3 =( 5-x)8

33-3x=40-8x

-3x+8x=40-33

5x=7

x=7/5

Check:

11-7/5=55-7/5

=48/5

5-7/5=25-7/5

=18/5

48/5÷18/5

=48/5*5/18

=240/90

=24/9

=8/3

Length: width=8:3

What is the slope of the graph shown below?
A. -2
B. 1
C. 2
D. 1/2

Answers

Answer:

i think its the answe d but not sure

Helppppp plzzzz ❤️❤️❤️❤️I’m crying help with my math

Answers

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

3t+1/16-2t-3/7=t+3/8+3t-1/14​

Answers

Answer:

t = -(25/112)

(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.

a. the length of the unknown side is ___

b. the perimeter of the triangle is ___

c. the area of the triangle is ___

Answers

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]

So the area of this triangle is 180 cm²

I hope this helped!

I WILL GIVE BRAINLIEST!!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.

Answers

Answer:

153.586 close to 154 students

Step-by-step explanation:

mean=61

standard deviation =10

sample 450 students , x between 61 and 71

(x-mean)/deviation for score 61 and 71

61-61/10=0

71-61/10=1

the z-scores is between 0 and 1 ( use calculator)

the percentage is 0.3413 close to 34%

number of students that score between 61 and 71=

450*0.3413= 153.586 close to 154 students


Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation
and then calculate how tall the wind turbine is.​

Answers

Answer:

see below for a diagram15 m

Step-by-step explanation:

Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.

The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.

The wind turbine is 15 m tall.

Find the sum. Express your answer in simplest
form.

Answers

Answer:

( 3u +12) / (v^2+4)

Step-by-step explanation:

(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)

Since the denominators are the same, we can add the numerators

((-u+3) + ( 4u+9)) /( v^2+4)

Combine like terms

( 3u +12) / (v^2+4)

Julie gathered data about the numbers of pages and chapters in several books by her favorite author.The equation of the line of best fit is y = 15.261x + 8.83. Based on the line of best fit, approximately how many pages are predicted to be in a book with 8 chapters? A. 113 B. 122 C. 131 D. 193

Answers

Answer:

C

Step-by-step explanation:

To get the approximate number of pages in the chapters, what we need to do is to substitute for the value of x in the line of best fit equation.

Thus, we have;

y = 15.261(8) + 8.83 = 122.088 + 8.83 = 130.918

This is approximately equal to 131

The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for r. Below are various solutions that your group-mates have arrived at. Select the correct one A) r=3V4π−−−√ B) r=3V4π−−−√3 C) r=3V√34π D) r=4V3π−−−√3

Answers

Answer:

Step-by-step explanation:5

Run A Regression Analysis Job Evaluation Weighted Points Avg. $ X Y Dealer 120 19944.44 Shark 145 29458.33 Laborer 175 34000 Banker 215 56875 Consultant 245 62900 Completion of:
Task A: Conduct a simple regression in Excel to create a market pay line by entering the job evaluation points (on the X axis) and the respective weighted average market base pay (on the Y axis) for each benchmark job. Completion of
Task B: What is your R squared (variance explained)? Is it sufficient to proceed? Completion of
Task C: Calculate the predicted base pay for each benchmark job. Completion of
Task D: Because your company wants to lead in base pay by 3 percent, adjust the predicted pay rates to determine the base pay rate you will offer for each benchmark job. Completion of
Task E:
Task H: Create pay grades by combining any benchmark jobs that are substantially comparable for pay purposes. Clearly label your pay grades and explain why you combined any benchmark jobs to form a grade Completion of
Task F: Use your answer to Task H to determine the pay range (i.e., minimum and maximum) for each pay grade. Completion of
Task G: Given the pay structure you have generated, consider the following: Does this pay structure make good business sense?
Do you think it is consistent with the organization’s business strategy? What are the implications of this pay structure for other HR systems, such as retention and recruiting

Answers

Answer:

task b

Step-by-step explanation:

The exchange rate for US dollars is £1=$1.62.How many dollars will I get for

a) £3. b)50p. c) £2.60 d) £5.63
Round your answer to 2 decimal places.​

Answers

A-4.86
B-
C-3.31
D-8.92

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross the x-axis?

Answers

Answer:

([tex]\frac{3}{5}[/tex] b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus

y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = [tex]\frac{3}{5}[/tex] b , thus

x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )

Answer:

( b, 0 )

Step-by-step explanation:

Mr.Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below. Based on this week, what solution to the system?
•(-4,-4)
•(0,0)
•no solution
•infinitely many solutions

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.

How many solutions does the system have?

First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.

Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.

So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).

Then we conclude that the system has infinitely many solutions.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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In the lab, Goran has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 10% alcohol. He uses 800 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 30% alcohol solution? calculate the magnitude of the electric field intensity in vacuum at a distance of 20 cm from a charge of 5 * 10 raise to power - 3 column help me pls pls pls Need help ASAP thankyou sorry if u cant see the picture but u can zoom in :) In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants. 1) Identify the sample used in the study. A) The sample is the math questions in the study. B) The sample is the responses of the volunteers in the study. C) The sample is the amount of sleep the volunteers got in the study. D) The sample is the sleep-deprived participants in the study. 2) What is the sample's population? A) The population is the collection of all the math questions from the math test. B) The population is the collection of the responses of all individuals who completed the math test. C) The population is the collection of all the individuals who completed the math test. 3) Which part of the study represents the descriptive branch of statistics? If the dividend yield for year one is expected to be 5% based on the current price of $50, what will year three dividend (DIV3) be if dividends grow at a constant 4% Find the equation of the line: With a slope of 1 2 through (4, 5) Shelly experiences a backward jolt when the driver starts the school bus. Which of the following explains this phenomenon? Which verb form correctly completes this sentence? A mis primos les encanta el mar. Ellos __________ tener una casa en la playa. A. querramos B. querras C. querra D. querran For muscular strength and endurance, ____________ refers to the percentage of the maximum resistance that is used for a given exercise. Group of answer choices intensity strength endurance composition Why do you think we need to study pre colonial Philippine literature?Explain Use passive or active verbs where needed in the following passages. It was a cold, windy morning, December 17, 1903, on a beach at Kitty Hawk, North Carolina. There were no crowds, no newspaper reporters present for this historic moment. Only a few people (stand) ________________ on the beach and (watch) ____________________ as history (make) ____________________. Two men from Dayton, Ohio, named Wilbur and Orville Wright, (take) _______________ a strange-looking machine out of a building and (prepare) _________________ it for its first flight. I really need help please Saliva is released by __________ and it acts on _______. What does the Declaration of Independence say about who has power in a nation? A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only Does the ordered pair (1,1) satisfy the following system of inequalities? {x8y97x+5y Ao examinar um fenmeno biolgico, o cientista sugere uma possvel explicao para seu mecanismo, baseando-se na causa e no efeito observados. Esse procedimento conhecido como VTheto prove Atriangle congruency theorem can be used2 AONP.MNo Find the surface area and volume of a rectangular prism with the following dimensions: Length = 4 cm, Width = 9 cm, Height = 2 cm