Suppose that you work for a company that offers $25 and $60 gift certificates. Determine the money denominations that you can create using these denominations. Then use strong induction to prove your conjecture.

Answers

Answer 1

Answer:

The money denominations that can be created for the $25 and $60 gift certificates are:

$5, $10, $20, and $50.

Step-by-step explanation:

To give the $25 gift certificate to a worker, the company will give either two of $10 plus one of $5 denominations or one of $20 plus one of $5 denominations.  These denominations will result in the same $25.

To give the $60 gift certificate to a worker, the company will either give one of $50 and one of $10 denominations, three of the $20 denominations, or six of the $10 denominations.  These denominations in their different combinations will result in the same $60.


Related Questions

Which of the following statements are true? Select all that apply.
A triangle is shown.

Answers

Answer: All except b are true

Explanation:

simplify the following expression
19 - ( 3 - 5b )

Answers

Answer:

5b+16

Step-by-step explanation:

Answer:

[tex]5b+16[/tex]

Step-by-step explanation:

[tex]19-(3-5b)[/tex]

Remove parentheses

[tex]=19-3+5b[/tex]

Subtract the numbers: [tex]19-3=16[/tex]

[tex]=5b+16[/tex]

Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
from a 40-gram sample after 2 hours.

Answers

la verdad no se la respuesta perdón

Answer: 3.36

Step-by-step explanation:

f(x)=214(1-.50)^6                       6= amount of times 20 min goes into 2 hrs

f(x)=214(.50)^6

.5^6=.0157

f(x)=214(.0157)

       3.36

According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past?
1) 0.0241.
2) 0.1703.
3) 0.8779.
4) 0.0483.
5) 0.1221.

Answers

Answer: 0.628

Step-by-step explanation:

Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702

Sample size : n= 54

Mean : [tex]\mu =(54)(0.4702)=25.39[/tex]

Standard deviation:

[tex]\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039[/tex]

The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :

[tex]P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046[/tex]

Hence, the required probability = 0.628

Takis or Hot cheetos?​

Answers

Answer:

Takis

.................

max is thinking of a number which he calls n

Answers

Answer:

what are you trying to ask?

Step-by-step explanation:

7 filler filler filler

Can someone help me on these questions?

Answers

Me not good on math matics I sorry hybrid

Answer:

I can give you a few of them, sorry

Step-by-step explanation:

5) obtuse 6)straight 7)right 9) 24°

Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding​

Answers

Answer:

i personally think the 65 in. one

Step-by-step explanation:

2+2jjjjjjkkkkkkuyuoo

Answers

Akshsishsbsushabahhshshsbzjsjjs

Answer:

4

Step-by-step explanation:

1+1+1+1=2+2=4

What is the slope of the graph of
y = -3x + 2?

Answers

Answer: -3

Step-by-step explanation:

A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.

Answers

Answer:

Answer D

Step-by-step explanation:

120 + 81+ 39=240 silver bikes

80+54+26= 160 black bikes

Total 200 + 135 + 65= 400

240+ 160=400

Answer:

Answer is C

Step-by-step explanation:

ap3xxx

I NEED THE ANSWER ASAP PLZ!!!!!!

Answers

Answer:

its D trust me okkkkkkk

I think its A

I wouldn't go with i say tho

I will give brainliest
The original Ferris wheel introduced at the 1893 World’s Fair in Chicago had a diameter of 125 feet. What is the approximate distance traveled by a person who rode this Ferris wheel for 5 complete revolutions? Use 3.14 for pi to solve.
1,962.5 ft
981.25 ft
625 ft
392.5 ft

Answers

Answer:

B is the answer to your question!

981.25 ft that’s the answer

Please explain how to do this please show work

Answers

Answer:

(x-1)(x+4)

I.e x(x+4)-1(x+4)

Xsquare +4x -x -4

Xsquare +3x -4

Please help me solve this :)
I will give Brainlst !!

Answers

1. Relation
2. Domain
3. Non linear
4. Range
5. Function
6. Linear
7. Y = mx + b is a linear equation where m is the slope and b is the y-intercept.

i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?

Answers

Answer:

.

Step-by-step explanation:

Answer:

0.24857

Step-by-step explanation:

Less than 1 is 0. and

only even prime is 2

One batch of vegetable soup uses 2 cups of chopped onions 1.5 cups of chopped celery and one cup of chopped carrots select each ratio that will help a chef compare cups of chopped carrots to the total of cups of chopped vegetables circle all that apply

Answers

Answer:

4.5

Step-by-step

2+1=3+1.5+4.5

Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math

Answers

Answer:

True mate

Step-by-step explanation:

The  budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.

What is Budget?

Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.

Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.

Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.

Therefore, it can be concluded that option 2nd is correct.

Learn more about Budget here:

https://brainly.com/question/17198039

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if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6

Answers

C is the answer
(-3)^2=9
9+(-3)=6

HELLP PLZ... Also MERRY EARLY CHRISTMAS ​

Answers

Answer:

Step-by-step explanation:

0 would represent the surface of the water

4 seguall

3

2

1 above water

0-surface of the water

-1 in the water

-2

-3

-4

Answer:

on the surface, because 0 represents sea level.

Step-by-step explanation:

Hope this helps and good luck :)

using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².​

Answers

Answer:

D

Step-by-step explanation:

A customer purchase aced items in your store totaling $12.64. They hand you three $5.00 bills. How much change would you owe them?

Answers

2.36
Hope this helps:)

The change would you owe them is : 2.528

We have the following information available from the question is:

A customer purchase aced items in your store totaling $12.64.

They hand you three $5.00 bills.

We have to find the how much change would you owe them?

Now, According to the question:

The change would you owe them is :

Then, Divide the store totaling bill is $12.64 by $5.00 bills.

We get :

=> $12.64 ÷ %5.00

=> 2.528

Learn more about Divide at:

https://brainly.com/question/17960604

#SPJ2

21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright

Answers

Right triangle
Right answer

The solution is Option C.

The triangle with sides 6 , 8 and 9 is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the sides of the triangle is

The measure of side AB = 6

The measure of side BC = 8

The measure of side AC = 9

Now , for a triangle

a² + b² > c² , the the triangle is an acute triangle

a² + b² = c² , then the triangle is right triangle,

a² + b² < c² , then it is an obtuse triangle

Now , If it is an equilateral triangle , a = b = c

Substituting the values in the equation , we get

AC² < AB² + BC²

9² < 6² + 8²

81 < 36 + 64

81 < 100

Hence , the triangle ABC is an acute triangle

To learn more about triangles click :

https://brainly.com/question/16739377

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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Answers

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?

Answers

Answer:

$4.50

Step-by-step explanation:

6 / 2 = 3

$1.50 x 3 = $4.50

4.5 dollars
2/1.5 is equal to 6/x
You cross multiply and you get 4.5

Which of the following are two-step equations? Choose more than
one answers

Answers

Answer:

i think a b d f

Step-by-step explanation:

10. A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint expressed as a fraction? *

Answers

Answer:

1/5

Step-by-step explanation:

7/35 and that simplifies to 1/5

A and B are independent events.
P(A) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
O B. 0.6
O C. 0.4
D. Not enough information

Answers

Answer:

Not enough information

find the value of x then classify the triangle by its angles

Answers

Answer:

x = 134°

Step-by-step explanation:

Let

[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]

We need to find the value of x.

We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,

[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]

Hence, the value of x is 134°

WILL GIVE BRAINLEST PLZZZ HELP MEEE

Answers

Answer:

i think its 3

Step-by-step explanation:

thats the only one where the reflection is on the correct axis

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