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.

1. 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.

2. Jada is the 36th customer.

a. Will she get a prize? If so, what prize will she get?

b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning.

3. How many prizes total will Lin’s uncle give away? Explain your reasoning.

Answers

Answer 1

Answer:

1. Yes, 1 position backwards

2. Yes, a free blueberry muffin and a free slice of carrot cake

b. Yes

3. 19 prizes

Step-by-step explanation:

The given conditions for winning a prize are as follows;

The prize that every 5th customer gets = A free bagel

The prize that every 9th customer gets = A free blueberry muffin

The prize that every 12th customer gets = A free slice of carrot cake

Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers

1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize

He should get one position behind to 24th position

The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer

2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position

Jada will get a free blueberry muffin and a free slice of carrot cake

b. It is possible for Jada to get more than one prize

This is so because her position coincides with the consecutive 9th and 12th customers position

3. The number prizes that Lin's uncle gives away are;

5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes

including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.


Related Questions

Find the slope of the line containing the points (-5,-4) and (-3,-6)

Answers

Use the slope formula y2 - y1/x2 - x1
-6 - (-4)/-3 - (-5)
You get -2/2, which is -1.

4. Bill Watson is the Swanton Village computer technician. He earns $22.22 per hour. What is his straight-time pay for a 36-hour week?​

Answers

Answer:

$799.92

Step-by-step explanation:

To find his pay, multiply the number of hours he worked by his pay per hour:

22.22(36)

= 799.92

So, his pay was $799.92

Jane is saving to buy a cell phone

$35 a month from her allowance

Does it make sense to represent to

and the number of months with a

your answer.

She is given a $100 gift to start and saves

after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved

ne constant rate? Why or why not? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Since it is mentioned that Jane saved $35 in a month from her allowance  also the starting amount is $100 and she saved $135 after month

So based on the above information, yes it makes the sense as it represents the relation between the saving amount and number of months considering one constant rate as it she saves the similar money amount for every month

Therefore, it is linear

This year,a farm planted 400,000corn stalks.Last year,the farm planted 275,650cornstalks. How many more cornstalks did the farm plants this year than last year?

Answers

Answer:

The farm planted 124,350 more cornstalks

Step-by-step explanation:

Here in this question, we want to know how much more corn stalks did a farm plant this year compared to last year.

Let’s picture it this way;

Possibly due to expansion purposes, the farm planted more cornstalks this year than last year. So to find the difference in the cornstalks planter between the two years, what needs to be done is simply to subtract the number of corn stalks planted last year from the number of corn stalks planted this year.

From the question, the number of cornstalks planted last year was 275,650 while the number of cornstalks planted this year was 400,000; So the difference between the two will be ;

400,000 - 275,650 = 124,350 cornstalks

I NEED HELP FAST PLEASE

Answers

Answer:

The sum is

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

[tex] = 4 \sqrt{5} + 2 \sqrt{5} [/tex]

As their bases are same, simply add them like,

[tex] = (4 + 2) \sqrt{5} [/tex]

[tex] = 6 \sqrt{5} [/tex]

Hope it helps...

Answer: 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

first collect like terms:     4[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] equals to (4+2)[tex]\sqrt{5}[/tex] , then just add 4 and 2 which equals to 6[tex]\sqrt{5}[/tex]

1/3 + a + 5/4. what is A

Answers

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

Solve the equation x/2-6=y for x

Answers

answer: x=2y+12

x/2-6=y
multiply both sides by 2
2(x/2-6)=2(y)
2x/2-12=2y
x-12=2y
add 12 to the both sides
x=2y+12

hope this helps <3

Answer:

            x = 2y + 12

Step-by-step explanation:

x/2 - 6 = y

     +6     +6

  x/2 = y + 6

    ×2     ×2

   x = 2(y + 6)    x = 2y + 12

7(6+5n) + 5(7 + n) = 37
I need help please

Answers

Answer:

or, 42+35n+35+5n=37

or, 77+40n=37

or, 40n=40

so, n=1

Step-by-step explanation:

hope it helps you

n=-1. as the other person said, but you’re supposed to subtract and not combine like terms from the last step

Mrs. Lawrie tried to write this number in standard form and made a mistake. What was Mrs. Lawrie's mistake? 600,000 + 8,000 + 500 + 70 + 3 = 68,573 what did she do wrong

Answers

Answer:

Mrs. Lawrie forgot the 600,000 in the equation. Answer = 608,573

Step-by-step explanation:

The equation was:

600,000 + 8,000 + 500 + 70 + 3 = 608,573

Mrs. Lawrie got 68,573, while the answer was 608,573

Idk how to do this!!?!?

Answers

Answer:

∠ AED = 130°

Step-by-step explanation:

CD is a straight line, thus

∠ AEC + ∠ AED = 180° , that is

50° + ∠ AED = 180° ( subtract 50° from both sides )

∠ AED = 130°

there is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group

Answers

the answer is (10,17)

Answer:

(2,4) (4,6) (6,9) (8,12)

First bracket : Add 2

Second bracket : Add 2

Third bracket : Add 3

Fourth bracket: Add 4

This is all I know

Solve for x: the quantity of x plus 20 over 2 = 3x

Answers

Answer:

x = 4

Step-by-step explanation:

For this problem, we simply need to convert the words into the left hand side of the equation and solve for x:

The quantity of implies a grouping

x plus 20 is the quantity

And we want the quantity over 2 all equal to 3x:

( x + 20 ) / 2  = 3x

( x + 20 )  = 6x

20 = 5x

4 = x

And now we can check to see if x is correct by plugging back into the equation:

( x + 20 ) / 2 = 3x

( (4) + 20 ) / 2 ?= 3(4)

( 24 ) / 2 ?= 12

12 == 12

Therefore, we have shown the value of x to be equal to 4.

Cheers.

Answer:

x+20/2=3x.

6x=x+20.

6x-x=20.

5x=20.

x=4.

what number set 1/2 belongs to? rational, irrational, integer, or natural​

Answers

Answer:

Rational

Step-by-step explanation:

1/2 would be 0.5 and 0.5 goes into the Rational catagory.

rose had $1000 in her bank account when she was 8 year old. each birthfay her grandma gave rose $20 until she turned 21

Answers

Answer:

1260

Step-by-step explanation:

Subtract 21 from 8,to get 13.Multiply 13 to the 20 dollars,when you do that you get 260.You add the 260 and the 1000 dollars together.

The formula for the area of a triangle is, 1 А A= bh Calculate the height of a triangle when A= 24 m2 and b = 8 m.​

Answers

I hope this helps you

A=1/2.b.h

given Area is 24 and base is 8

24=1/2.8.h

24=4.h (divide 4 both of sides)

h=6 (height)


What value of x will make each equation below true? 4x-1=4x+7

Answers

Answer:

4X-1=4X+7

4x - 4x = 1 + 7

0 = 8

Step-by-step explanation:

Since there is no value of x that will make this true,

this has no solution and x is the empty set.

Answer:

Step-by-step explanation:

4x-1=4x+7

4x-1-4x=4x+7-4x

-1=7

Cora started her math homework at 3:39 P.M. She finished all the problems at 4:12 P.M. How long did Cora spend doing her math homework?

Answers

Answer:

She spent 33 minutes on her homework

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

An hour is 60 minutes.

Taking 39 away from 60...

39 - 60 = 21

and adding 12 to it.

21 + 12 = 33

We have our answer:

33 minutesI'm always happy to help :)

Please solve #5 and show your work! Will give BRAINLIST!!

Answers

Answer:

damita

Step-by-step explanation:

erin: 2/12 = 0.1666667

damita: 4/16 = 0.25

jayden: 3/15 = 0.2

0.25 is the highest concentration

Write an English phrase that would translate into the following mathematical expression. 7z-4

Answers

Answer: Four is less than seven times z

Step-by-step explanation:

Hailey divided 92 ÷ 5. Her work is shown below.


92 divided by 5. 5 goes into 9 1 time. 9 minus 5 = 4. 5 goes into 42 8 times. 42 minus 40 = 2. The answer is 18 R 2. There are 5 groups of 1 ten plus 8 ones.
Which statements are true about Hailey’s work? Check all that apply.

Hailey found the correct quotient.
The “1” in the quotient represents the number of tens in each of the 5 groups.
Hailey placed the dividend and divisor in the wrong places in the problem.
The “R2” represents the number of ones in each of the 5 groups.
Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Answers

Answer:

The “1” in the quotient represents the number of tens in each of the 5 groups.

Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Step-by-step explanation:

Given:

92÷5

Hailey's workings:

92 divided by 5.

5 goes into 9 1 time.

9 minus 5 = 4.

5 goes into 42 8 times.

42 minus 40 = 2.

The answer is 18 R 2.

The true statements about Hailey's work are:

The “1” in the quotient represents the number of tens in each of the 5 groups.

Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Need help Only 5 questions

Answers

Answer:

for question no 5

answer is 1/10

Does anyone know this?

Answers

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]f(x)=-2x^2-2x+10[/tex]

For f(2), the input of the function is 2.

Let x = 2.

[tex]f(2)=-2(2)^2-2(2)+10[/tex]

Evaluate.

[tex]f(2)=-2(4)-2(2)+10[/tex]

[tex]f(2)=-8-4+10[/tex]

[tex]f(2)=-2[/tex]

Answer:

[tex]f(x) = - 2 {x}^{2} - 2x + 10[/tex]

put the value of x = 2

[tex]f(2) = - 2( {2}^{2} ) - 2(2) + 10[/tex]

[tex] f(2) = - 8 - 4 + 10[/tex]

[tex]f(2) = - 12 + 10[/tex]

[tex]f(2) = - 2[/tex]

hope it helps u

Pls halp due today >_<. Thank you

Answers

Answer:

-√(1/4) is smaller

Step-by-step explanation:

Step 1: Evaluate -√(1/4)

-√(1/4) = -(0.5) = -0.5

Step 2: Evaluate -1/5

-1/5 = -0.2

Step 3: Align

-0.5 < -0.2

5. There are 2 green blocks, 3 blue blocks, and 5 yellow blocks in a bag. What is the
likelihood that if one block is randomly chosen it will be either green or blue?
A. Unlikely
B. Likely
C. Certain
D. Equally Likely or Unlikely​

Answers

Answer:

D

Step-by-step explanation:

equally likely or unlikely because it is 50%

Answer:

It is D hope this helps bud :)

Step-by-step explanation:

y
A
B
4
Analyze the pre-image ABCD. What are the vertices of
the final image if T_1,-2y = x is applied to figure
ABCD?
A"
B"(3, 2)
C"
D"
2
D
с
<
*
-2
-2

Answers

Answer:

A"(3, 0), B"(3, 2), C"(1, 1), D"(1, -1)

Step-by-step explanation:

Coordinates of A,B,C and D are,

A(2, 4), B(4, 4), C(3, 2) and D(1, 2)

Rule for the reflection over a line y = x,

(x, y) → (y, x)

Therefore, new image of ABCD will be,

A(2, 4) → A'(4, 2)

B(4, 4) → B'(4, 4)

C(3, 2) → C'(2, 3)

D(1, 2) → D'(2, 1)

Rule for translation [tex]T_{-1, -2}[/tex],

(x, y) → (x - 1, y - 2)

By this rule image of A'B'C'D' will be,

A'(4, 2) → A"(3, 0)

B'(4, 4) → B"(3, 2)

C'(2, 3) → C"(1, 1)

D'(2, 1) → D"(1, -1)

HELPPPP please !!!!!,!!?

Answers

Mercury has the greater density than that of Venus .

Answer:

mercury has higher density than venus

Is 5 1/
25 rational or irrational? Explain

Answers

Answer:

rational

Step-by-step explanation:

Hello!

A rational number can be expressed as a ratio of two numbers in p/q form

A irration number cannot be expressed this way

5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.

Hope this helps!

[tex]\frac{51}{25}[/tex] is a rational number.

Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example

[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]

On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example

π = 3.14159265358979323846…

According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.

Learn more in: https://brainly.com/question/17450097

If (1,-1) is a point on the line 2x-(2a+5)y=5 then find the value of a​

Answers

Answer:

a = - 1

Step-by-step explanation:

Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a

We have

2(1) - (-1)(2a + 5) = 5

Multiplying two negatives make a positive

That's

2 + 2a + 5 = 5

2a + 7 = 5

Group like terms

Send the constants to the right side of the equation

That's

2a = 5 - 7

2a = - 2

Divide both sides by 2

That's

[tex] \frac{2a}{2} = \frac{ - 2}{2} [/tex]

We have the final answer as

a = - 1

Hope this helps you


Q1. Helen can collect 240 flowers in 20 minutes. How many flowers can
she collect in 35 minutes?​

Answers

Answer:

420 flowers

Step-by-step explanation:

20 minutes = 240 flowers

1 minute =240/20 flowers

35 minutes = (240*35)/20 flowers

          The answer is 420 flowers.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Helen can collect 240 flowers in 20 minutes.

You need to find the number of flowers she can collect in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: Find the unit rate of Helen collecting flowers. To find the unit rate, just divide 240 by 20, to see how many flowers she can collect per minute.

2: Multiply the number of flowers Helen can collect in 1 minute by 35 (since 1 times 35 is 35).

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: 240 divided by 20 is 12. Helen can collect 12 flowers per minute. The unit rate of Helen collecting flowers is 12 flowers per minute.

2: Since Helen can collect 12 flowers per minute, you need to find out how many she can collect in 35 minutes. To get from 1 minute to 35 minutes, you multiply 1 by 35. So you need to multiply 12 by 35 as well. 12 times 35 is 420. So Helen can collect 420 flowers in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

the hypothenus of a right angle triangle is 13cm. if one other side of the triangle is 1cm shorter than the hypothenus, calculate the third side of the triangle

Answers

Answer:

5 cm.

Step-by-step explanation:

Let the lengths of the other 2 sides be 13-1 = 12  and x cm.

Then by Pythagoras:

13^2 = 12^2 + x^2

x^2 = 13^2 - 12^2

x^2 = 169 - 144 = 25

x = √25

x = 5 cm.

Step-by-step explanation:

Hey, there!!

As per your question,

There is a Right angled triangle, whose hypotenuse is 13 cm, one side is (13-1)=12 cm.

another side = ?

Let ABC be a Right angled triangle, taking angle "theta" as a refrence angle.

Hypotenuse (h)= 13 cm.

base ( b) = x

perpendicular (p)= 12cm.

By Pythagoras relation we get,

[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]

[tex]b = \sqrt{ {13}^{2} - {12}^{2} } [/tex]

[tex]b = \sqrt{169 - 144} [/tex]

Therefore, base is 5 cm. Or the third side is 5 cm.

Hope it helps...

Other Questions
40% of the cost was tax. if the taxes paid were $15,000, what was the total cost of the car? how dd the new immigrant experience reflect both the promise and prejudices of american society during the gilded age? Which of the following did management at Zappos do to reduce the level of formalization in their organization?A. They avoided asking their customer service reps in call centers to follow a detailed script. B. They increased their reliance on drop-shipment orders. C. They established top-down management as their primary strategy. D. They put an end to the practice that enabled employees to horizontally rotate to different jobs once they had mastered a particular job. If 15 oranges cost Rs. 70,how much do 39 oranges cost ? Which of the following does not take place in the "Experiment step of the scientific method?A. Making a bar graphB. Creating the proceduresCollaborative Lesson PlanningC. Making a materials listD. Conducting the experiment What does economics study? Which of the following agencies are permanent legal attaches, or legats, associated?A. the FBIB. The CIAC. The bureau of immigration and customs enforcementD. The US secret service The mass of a solid substance is 21.112 g. If the volume of the solid substance is 19.5 cm3, calculate the density of the substance (in g/cm3) with the correct number of significant digits. The density is g/cm3. Evaluate the triple integral ExydV where E is the solid tetrahedon with vertices (0,0,0),(5,0,0),(0,9,0),(0,0,4). A patient has a very high concentration of insulin receptors on cells that require insulin for glucose to enter. How should insulin dosages be adjusted for this patient to have blood glucose levels within the normal range? Solve 1 over 36 = 6x3. The sum of all the integers from 1000 and 10000 inclusive is y. Which expression represents the sum of all integer from 1003 to 10000 included? A rectangular cake has a length of 25in, a width of 18in, and a height of 4in. Each container of frosting can cover 200 square inches. A book written by a historian who is an expert about its topic A. Primary sourceB. Secondary source Is the cell membrane found in Plant Cell, Animal Cell, or Both? A market where prices reflect all available public information is _____. a. strong form efficient b. semistrong efficient c. not efficient d. weak form efficient HeLLLPPP PLEASE IM BEGGING YOU x = 2, w = -1, y = 6, z = 4 x+4w - 2y A 30-year-old woman is 22 weeks pregnant with her first child. She tells you that her rings are not fitting as loosely as they usually do and that her ankles are swollen. Her blood pressure is 150/86 mm Hg. She is MOST likely experiencing:_________ Why might a purely competitive industry advertise, even if individual firms do not? Choose one A. An industry cannot advertise because it is not an actual business. B. An industry would never advertise in a purely competitive market. C. An industry can advertise to promote its products without shifting the average total cost curve for individual firms. D. The industry can selectively promote firms and force some out of business. E. The industry hopes to boost overall demand for the substitute goods.