Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.

Answers

Answer 1

Answer:

Diego is correct, he should move back one space.

Step-by-step explanation:

If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)

It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).

However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)

But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.

So, Diego should go back one space in order to get a prize because 23 is not  a multiple of 5, 9, or 12. However, 24 is a multiple of 12.

Hope this helps and makes sense.  


Related Questions

A point on a horizontal line has the coordinate (-2,6). What other point would be on this line?

a) (-2,5)

b) (0,6)

c) (2,6)

d) (3,-6)

Answers

Answer:

A

Step-by-step explanation:

Since the Line Horizontal all coordinates when x=-2 are correct.

Since the line is horizontal, the y intercept would always be 6

The points (0,6) and (2,6)
B and C would be on the line

please help and show work
19) Geoff owns a computer store in 1990 he sold 2400 monitors and in 2000 he sold 4000. Let x
represent the number of years since 1990. Write a linear equation in slope intercept form that
represents this data.

Answers

Answer:

B. [tex] y = 160x + 2400 [/tex]

Step-by-step explanation:

The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]

Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].

Thus, the linear equation in slope-intercept form would be:

✅[tex] y = 160x + 2400 [/tex]

10 points
This morning, Suzie took a history test. There were 74 multiple-choice
problems on the test and Suzie answered 50% of them correctly. How
many problems did Suzie get right?

Answers

The answer should be 37

help pls!
-6y=-2x+24

Answers

y= 1/3x -4 in slope intercept form:)

What is the solution to m/-7<_ 14

Answers

Answer:

-98

Step-by-step explanation:

simplify both sides

it would be -98 even tho someone did it i wanted to do it too

If pens cost 15 cents, how many can you buy with $3.00?

Answers

3.00/0.15 = 20
You can buy 20 pens
you can buy 20 pens. divide 300 (3.00 in cents) by 15 and it results in 20.

Which are correct statements regarding proofs? Select three options.

In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.

Answers

Answer:

A. a two-column proof consist of a list of statements and the reasons the statements are true.

B. a flowchart proof gives a visual representation of the sequence of steps without justification.

D. a two-column proof list only the given information and what is to be proven.

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps. ^-^

The correct statements are:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.

A two-column proof consists of a list of statements and the reasons the statements are true.

A flowchart proof is a visual way of describing the statements and reasons for a proof.

What is a flowchart?

A flowchart is a graphical representation of a process, algorithm, or system that uses symbols, shapes, and arrows to depict the various steps and their interconnections.

We have,

In a two-column proof, each statement is listed in one column, and the justification for the statement is listed in a separate column.

A flowchart proof also provides a visual representation of the sequence of steps, but it includes justifications for each step.

So,

The following statements are incorrect:

A flowchart proof gives a visual representation of the sequence of steps without justifications.

A two-column proof lists only the given information and what is to be proven.

Thus,

The correct statements are:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.

A two-column proof consists of a list of statements and the reasons the statements are true.

A flowchart proof is a visual way of describing the statements and reasons for a proof.

Learn more about flowcharts here:

https://brainly.com/question/14598590

#SPJ5

I will award 30 points to anyone that can solve this. If i fail i have to retake

Answers

Answer: it’s all in the pictures hope this helps!!:)

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

Four friends bought an extra-large $12 popcorn. Each person bought their own drink. The total cost of the food can be represented by the expression 4x + $12.

Answers

Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

Each friend paid $4 for popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Given

Four friends bought an extra-large $12 popcorn.

Each person bought their own drink.

Let x be the number of friends.

The total cost of food= Total number of friends + cost of popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Therefore;

The amount paid by each friend is;

[tex]\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4[/tex]

Hence, each friend paid $4 for popcorn.

To know more about Equation click the link given below.

https://brainly.com/question/2272409

Use the distributive property to remove the parentheses.
-2(-5x – 4y+1)



doing a test !! answer quick!?

Answers

Answer:

10x + 8y - 2

Step-by-step explanation:

[tex]-2(-5x – 4y+1) \\ \\ = ( - 2)( - 5x) - 2 ( - 4y) - 2 \times 1 \\ \\ = 10x + 8y - 2[/tex]

Round 0.6203 to
the tenths place

Answers

Answer:

0.6

Step-by-step explanation:

0.6


I know someone answered but let me explain. After the decimal point, we go to the “th’s.” So tenths, hundredths, thousandths, and so on! Now your looking at the tenths place. If your rounding up, you have to look at the next one (so the hundredths place which is the 2.) If it’s 5 or greater than 5, it goes up, but it’s not, so it would be just a 6. Hope that helps you or anyone else!

Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?

Answers

Answer:

320 Customers took the survey

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

4/3 ÷ 7/8 = in khan academy

Answers

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Please help asap due soon

Answers

Answer:

15

Step-by-step explanation:

[3(9)-(-3)]/2

30/2=15

Answer:

Your answer should be 15.

Step-by-step explanation:

3 times 9 is 27. When you subtract a negative number they combine to sign to be a + so you would get 30 since you would be adding 3. You would then divide 30 by two to get 15! <3

AB=10 and BC=20 What is AC

Answers

25 I think so I may be Incorrect

Answer:

6

Step-by-step explanation:

A to B is 10

B to C is 20

You add them together and you get 30. A straight line is equal to 180.

You divide 30 to 180 and you get is 6.

Which equation represents exponential decay?
PLEASE HELP!!!
I WILL HIVE BRAINLEIST IF YOU HELP

Answers

Answer:

C.

Step-by-step explanation:

Decay is getting smaller, and c is the only one where B will reduce the size of something.

Jayson buys a car and pays by installments. Each installment is $567 per month.
After 48 months, Jayson owes $1,250. What was the total price of the vehicle?

Answers

Answer:   $28,466

================================================

Explanation:

Each installment or payment is $567 per month.

If 48 months go by, then Jayson has paid 48*567 = 27,216 dollars.

If he still owes $1250, then this means he will pay back a total of 27,216+1,250 = 28,466 dollars.

Why 27 is not a prime

Answers

Answer:

27 isn't a prime because of the fact that it can be divided by 27.

And for your information, Prime numbers are numbers that can't be divided by any number other than 1 and itself.

Hope it helps.

Hey there!

- Fact/Side note: A “Prime Number” is basically a number that is LARGER THAN one but it has about approximately 2 factors which it has to either be 1 or the number by itself.

Anyways, now that we broke down the definition better, we can ANSWER your question!

• Answer: The number “27” isn’t considered a prime number because it isn’t CAPABLE OF BEING to DIVIDE by 1 or itself.

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

Answers

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither

Answers

Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

Which of the following systems of inequalities has point D as a solution?​

Answers

Answer:

The answer is A

Step-by-step explanation:

Marking people as brainlist are the triangles congruent?

Answers

Answer:

congruent by S.A.S. hope it helps if you could give me brainliest it would help. THANKS

Step-by-step explanation:

Help plz I so lost... I just started this today and idk what to do

Answers

Answer:

like this answer and give it 5 stars.

Step-by-step explanation:

also press the "brainiest answer" button.

thanks :)

Answer:

Okay so first things first, since you just started this today I will give you the basics ;)

SO if you are asking a question that has not been asked, first you go to the button "Ask a question" and write your question in the column

its going to ask you to give points for the people that answer (it all depends on how many points you want to give or have to give to the answerer)

Then you pick a subject that the question goes under and voila you got your question.

Now if you find a answer that gives details about your question and you feel they deserve more than just a few points you click on the crown in the corner of their answer making them the Brainliest answer.

Okay to answer questions you go to the Brainly home page and find a question you can answer and click the button "Answer" then type your answer in the answering box and submit it, you receive points for answering questions.

A lot of people like to have profile pictures so if you want one you go to View profile and its going to ask you to change profile picture, you change the previous image by saving a saved document from your computer, iphone, tablet... ect.

Its important to only give answers to questions you can answer and only ask question that relate to the subject you put the question under otherwise you will be reported and your question removed.

Hope this helps you! ;)

Which of the following is a solution to the system? Show your work.

3x+2y=-3

3x-y=6

Group of answer choices

(-1, 0)

(1, -3)

(2, 0)

LaTeX: (0,-\frac{3}{2})

Answers

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

3x + 2y = -3 ⇒ (1)

3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

-3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

(1, -3) is a solution to the system

what is 28r-9(2r+6) simplied?

Answers

Answer:

10r-54

Step-by-step explanation:

Answer:10r-54

28r-9(2r+6) bring -9(2r+6) that gives us -18r-54 then we bring back the 28r translating to 28r-18r-54 simply 28-18=10 so 10r-54.

Put some coordinates on a graph and work it out pls worth 10pts

Answers

Answer: (-1,1)(1,1)(-2,-1)(2,-1)

Step-by-step explanation:

UREGENT‼️‼️
4. Find the slope of the line that passes
through the following pairs of points:

Answers

Answer:

A.-8  B.1/10

Step-by-step explanation:

a. -75--51=-24

     10-7=3

-24/3=-8

b. 12.5-10.5=2

    25-5=20

2/20=1/10

     

PLS HELP I NEED IT
I WILL AWARD BRANLIEST

Answers

Every triangle has a total of 180 (when you add all three angles together), and the same would be for a straight angle, or two angles formed by am angle bisector (DC). 180-33=147, so the top part of C would be 147, which isn't necessarily needed, but that'd be how to solve that. A+B+C=180. A+2x+C=180. A would be 33 because AB and DC (segments) are parallel, and the segment bisector AE is a straight line, so 33+2x+C=180. 180-33=147/2=73.5, if I did that correctly.

Suppose y varies directly with x and y = 72 when x = 6. What direct variation equation relates x and y? What is the value of y when x = 10?

I know that it is 12x but for some reason there is no result in the answer choices.

Answers

C is the answer to this one

Can someone help me find the missing side length!

Answers

Answer:

12

Step-by-step explanation

so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.

then i multiplied to 4 x 3 to get the missing side length which equals 12

Answer:

the answer is 12

Step-by-step explanation:

to find the length we us this formula a²+b²=c²

a²+b²=c²

a²+(9)²=(15)²

a²+81=225

a²=225-81

a²=144

a=√144

a= 12 unit

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