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

The surface area of Earth is approximately 5.1 x 108 km2. The surface area of Jupiter is approximately 6.2 x 1010 km2. Approximately
how many times larger is Jupiter's surface area than Earth's surface area?
A 8
B 12
C 80
D 120

Answers

Answer:

The correct answer is: Option D: 120

Step-by-step explanation:

Given that

[tex]S_E = 5.1*10^8\ km^2\\S_J = 6.2*10^{10}\ km^2[/tex]

In order to find how much larger is the area of Jupiter we will divide the surface area of Jupiter by the Surface area of Earth. First of all we will have to equate the exponents of 10 so that the cutting can be done

Now,

[tex]= \frac{S_J}{S_E}\\= \frac{6.2*10^{10}}{5.1*10^8}[/tex]

10^10 can be written as: 10^8*10^2

[tex]=\frac{6.2*10^2*10^8}{5.1*10^8}\\= \frac{6.2*100}{5.1}\\=\frac{620}{5.1}\\=121.5686[/tex]

Closest to 121 is 120.

Approximately Jupiter's surface area is 120 times larger then Earth's surface area.

Hence,

The correct answer is: Option D: 120

Tony has x quarters. Jane has three more quarters than Tony. Rob has twice as many quarters as Jane. Together, Rob and Jane have $4.50 in quarters. Complete each statement. (A) The expression x + 3 represents the number of quarters Jane has. (B) The expression x – 3 represents the number of quarters Rob has. (C) Tony has quarters.

Answers

Answer:

x = 3 quarters

Step-by-step explanation:

Tony = x quarters

Jane = (x + 3) quarters

Rob = 2(x + 3) quarters

Rob and Jane have $4.50 in quarters.

$1 = 4 quarters.

$4.50 = ( 4 × 4.5 ) quarters

= 18 quarters.

(x + 3) + 2(x + 3) = 18

x + 3 + 2x + 6 = 18

3x + 9 = 18

3x = 18 - 9

3x = 9

x = 9/3

x = 3

(A) The expression x + 3 represents the number of quarters Jane has. YES

x + 3

= 3 + 3

= 6 quarters

(B) The expression x – 3 represents the number of quarters Rob has.

NO

(C) Tony has quarters.

Tony = x quarters

= 3 quarters

Rob = 2(x + 3) quarters

= 2(3 + 3) quarters

= 2(6) quarters

= 12 quarters

Answer:

(A) The expression x + 3 represents the number of quarters Jane has.

B) The expression 2(x+3)  represents the number of quarters Rob has.

(C) Tony has 3 quarters.

Step-by-step explanation:

what perfect squares does the square root of 10 lie between

Answers

Answer: 5 and 15

Step-by-step explanation:

Can whoever answers this give a full explanation of what numbers i'm supposed to put (screenshot is there)

Answers

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

What is the cost of the sweatshirt if the regular price is $42 and sales tax is 7.5%?

Answers

Answer:

$45.15

Step-by-step explanation:

42+(42)(.075)

42+3.15=45.15

Show work too I’ll mark you brainlist hurry lol

Answers

Answer:

1

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

[tex]e(x)=\frac{1}{5}x\\\\e(5)= \frac{1}{5}*5\\\\\boxed{e(5)=1}[/tex]

Hope this helps.

4x^2 + 12xy + 9y^2
Can someone answer this and show the work?

Answers

ANSWER:

=(2x+3y)^2

WORKINGS:

4x^2+12xy+9y^2

2 =(2x)^2

2 +2(2x)(3y)+(3y)^2

2 =(2x+3y)^2

What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers​

Answers

Answer:

C. All real numbers

Step-by-step explanation:

The four members of the "Fantastic Four" made 40 cookies each for the bake sale. They know that 35% of their cookies are chocolate chip.

How many chocolate chip cookies were made?

Answers

Answer:

56 Chocolate Chip cookies

Step-by-step explanation:

To find the answer first add up all of the cookies, in this case, 40+40+40+40 witch equals 160. then find 35% of that. This can be done by dividing 160 by 100 to get 1% then multiplying that by 35 to get 35% witch is 56. Therefore you have 56 Chocolate Chip cookies.

Please i will give brainlist

What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?

Answers

Answer:

the second answer

y=1/2x+3/4

If g(x) = 4x-7 then g(1) = ?

Answers

Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?

Answers

Answer:

He has $347.13

Step-by-step explanation:

217.25+49.58+105.75-25.45=347.13

Keith made $65 for 5 hours of work. At the rate, how much would he make for 18 hours of work?

Answers

Answer:

234

Step-by-step explanation:

65              x

---    =        ---

5                18

6 ) y = -x + 4
slope =
y-intercept =
What it is the answers to the question above

Answers

Slope= -1
Y-intercept= 4

Describe the location where all 3 inequalities may be satisfied on the following slide.
there is no pics

Answers

Answer:

the big moon is a good place to set your location

Answer:

Hey im sorry but we can help you because the question doesnt make sense without  picture

Step-by-step explanation:

Which ordered pair is on the graph of y = 4x + 3?

Answers

Answer:

(-2,-1) (-1,-1) (0,-1) (1,-1) (2,-1)

Step-by-step explanation:

hope that helps bro

A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.

Answers

Answer:

AD is 6.5 units

Step-by-step explanation:

Find the diagram attached.

From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.

To get AD, we will use the pythagoras theorem as shown;

Hyp² = Opp² + Adj²

AD² = 6²+2.5²

AD² = 36 + 6.25

AD² = 42.25

AD = √42.25

AD = 6.5

Hence the measure of length segment AD is 6.5 units

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value

Answers

Answer:

133 windows

Step-by-step explanation:

It is given that,

A window washer cleaned 38 windows in 2 hours.

We need to find how many windows did he clean in 7 hours.

2 hours = 38 windows

1 hour = 19 windows

For 7 hours, multiply 19 and 7.

7 hours = 19 × 7 windows

= 133 windows

Hence, in 7 hours he can clean 133 window

describe julius caesar as a child

Answers

Answer:

You dare challenge me...

Step-by-step explanation:

Gaius Julius Caesar was a Roman general and statesman who played a critical role in the events that led to the demise of the Roman Republic and the rise of the Roman Empire. In 60 BC, Caesar, Crassus and Pompey formed the First Triumvirate, a political alliance that dominated Roman politics for several years.

hello, how to do 15(d)? :)

Answers

Answer:

Q15.d) 11.8L

Step-by-step explanation:

Please see the attached pictures for the full solution. (Picture 1 &2)

I have also attached the workings for part a-c from pictures 3 and onwards.

What is the slope of this line?
A. 1/4
B. 4
C. 2
D. -4

Answers

B. 4

Step-by-step explanation:

Since it is going up by 4 and moves to the right by 1 so it would be 4/1 which can also be marked as 4.

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


Find the value of X*
X=
X х
8
12

Answers

Answer:

12

Step-by-step explanation:

This is a proportion question.

8/x = 12/(12 + 6)

8/x = 12/18             Reduce the right hand side

8/x = 2/3                Cross multiply

2x = 8*3                 Combine the right side

2x = 24                  Divide by 2

x = 24/2

x = 12  

1 3 movie tickets cost $36. At this rate, what is the cost per ticket?

Answers

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

The answer is $12 per ticket

What theorem proves that this congruent

Answers

sss

Step-by-step explanation:

side side side

all 3 or congruent

PLEASE HELP
Write the equation of the line that is parallel to
y = 3x - 4
and that has a y intercept or 5.
WILL MAKE U BRAINLIEST

Answers

Answer: m

=

3

Step-by-step explanation:

Thomas is purchasing notebooks for
school. He has $25 to spend and each
notebook costs $4.15. How many
notebooks can he buy if he must first
buy a calculator for $8.64?

Answers

Answer:

4

Step-by-step explanation:

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?

Answers

Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

Identify the slope of the table​

Answers

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

In 3 hours Jon can walk 5 miles. At this
same rate, how long can he walk in 5
hours?

Answers

Answer:

8.3 miles

Step-by-step explanation:

In 3 hrs he can walk=5 miles

In an hour he can walk=5/3miles

=1.66 miles

In 5 hours he can walk=1.66*5miles

=8.3 miles

Hope this helps

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