what is the largest amount of postage in cents that cannot be made by using only 3 cent and 5 cent stamps?

Answers

Answer 1

Answer:

29

Step-by-step explanation:

Answer 2

The amounts greater than 40 cents can be formed.

What is Modulo ?

After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division.

Given:

According to the situation the equation can be

C = 5x + 11y, where x and y are non negative integers.

Now, We will fix y-values first, because there are fewer indices modulo 5:

y = 0 --> 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55,... 5y

y = 1 --> 11, 16, 21, 26, 31, 36, 41, 46, 51, 56,... 5y + 11

y = 2 --> 22, 27, 32, 37, 42, 47, 52, 57, ...5y + 22

y = 3 --> 33, 38, 43, 48, 53, 58, ...5y + 33

y = 4 --> 44, 49, 54, 59, ...5y + 44

Then, 39 may be verified to be the smallest number that is impossible to obtain.

By examining each index (0, 1,..., 4), we may demonstrate this by observing that for y = 1, 6 is the largest positive integer congruent to 1 mod 5 that cannot be made, 17 is the largest positive number congruent to 2 mod 5, etc.

The largest of these improbable numbers is 39.

We could say that since 40, 41, ..., 44 are all obtainable, then we can induct by adding a multiple of 5 (i.e. if k is possible, so is k+5),

Hence, all amounts greater than 40 cents can be formed.

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Related Questions

Please help I don't understand this problem!

Answers

Answer:

-17

Step-by-step explanation:

First thing to do in this equation is to multiply both sides by 22.

This becomes, -5+x=-22

Add 5 to both sides.

x=-17

Answer:

x = -17

Step-by-step explanation:

-5+x

-------- = -1

22

Multiply each side by 22

-5+x

--------  * 22= -1 *22

22

-5 +x = -22

Add 5 to each side

-5+x +5 = -22 +5

x = -17

Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0 [tex]\leq[/tex]x<2[tex]\pi[/tex]

Answers

Answer:

2 is my answer

Step-by-step explanation:

Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent? ​
rock-12
classic rock-4
county-18
jazz-2
heavy metal-6​

Answers

6/12, 2/4, 2/18, 2/12
These are equivalent because in a way they equal each other with division
6/12, 2/4, 2/18, 2/12

Identifying Kinds of Context Clues
example
Match each sentence with the type of context clue it includes
Large herbivores, such as elephants and
giraffes, need to eat a lot.
synonym
Their service is expedient - I'm amazed
by how fast they are!
antonym
Jane is always very enthusiastic and
never negative or doubtful.
explanation
Carburetors, which feed fuel and air to
engines, are very important.

Answers

Answer:

Large herbivores, such as elephants and

giraffes, need to eat a lot. = Example

Their service is expedient - I'm amazed

by how fast they are!  Example, explanation

Jane is always very enthusiastic and

never negative or doubtful. = antonym

Carburetors, which feed fuel and air to

engines, are very important. = explanation

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer

Answers

Answer:

y=3x+4

Step-by-step explanation:

x= the equal amount of books on 3 bookshelves

+4=the other 4 books on the fourth bookshelf

y=the total amount of books

Y= 3x+4 is the answer

In 2021, Ryan Management collected rent revenue for 2022 tenant occupancy. For financial reporting, the rent is recorded as deferred revenue and then recognized as revenue in the period tenants occupy rental property. For tax reporting, the rent is taxed when collected in 2021. The deferred portion of the rent collected in 2021 was $66 million. Taxable income is $260 million in 2021. No temporary differences existed at the beginning of the year, and the tax rate is 25%. Prepare the appropriate journal entry to record income taxes in 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

Answers

Answer:

Answer and Explanation:

The Journal entry is shown below:-

1. Income Tax Expense Dr, $336 million  

Deferred Tax Assets Dr, $29 million

($116 million  × 25%)

         To Income Tax Payable $365 million

($1,460 × 25%)

(Being income tax and deferred tax is recorded)

2. Income Tax Expense Dr, $400 million

         To Income Tax Payable  $340  million

($1,360 × 25%)

         To Deferred Tax Assets $60 million

(($354.0 million - $116 million)  × 25%)

(Being income tax and deferred tax is recorded)

Step-by-step explanation:

Bbvbjjjgggghvccxzsetuikookmb:335679

A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate
I)the length of the minor
Ii)Perimeter of the sector
Iii)the area of the sector[take pi =22/7

Answers

Answer:

c

Step-by-step explanation:

the perimeter of the sector

Answer:

Sorry dont know :(

Step-by-step explanation:

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

Answers

19.8m²

Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.

Side note: 2.7 comes from subtracting 3.6 off of 6.3.

Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²

Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²

Then you add the areas of both the rectangle and the triangle together.

14.4 + 5.4 = 19.8m²
The area is 19.8m^2…………………..

If a triangle has two of its shorter sides measuring 7 and 12, what is a possible length of the longest side of the triangle to make it acute?

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

0 3C = n
Use the data in the table to give an equation to represent the proportional relation
ship.
X Y
0.5 7
1. 14
1.5 21
2 28

y = 14x
y = 7x
7y = x
21y = x

Answers

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

y=14x i hope this helped you

Add.

5/6+1/2+3/4

Enter your answer in the box as a mixed number in simplest form.

Answers

Answer:

2 1/12

Step-by-step explanation:

5/6+1/2+3/4

Get a common denominator of 12

5/6 *2/2   + 1/2 *6/6  + 3/4 *3/3

10/12 + 6/12 + 9/12

25/12

24/12 + 1/12

2 +1/12

2 1/12

[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]

First , we take LCM of denominators

LCM of denominators is 12

[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]

[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]

Decimal Form = 2.0833

Mixed fraction form 2 × 1/2

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?

Answers

Answer:

a 0,1 and b 1,0

Step-by-step explanation:

exam took

Answer:

The other answer is incorrect the answer is

D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

this is 6th grade


Which of the following would be the best equation for the function of the values for Frankie’s reading?
A. p = 6h
B. p = 35h
C. h =35p
D. 35 + p = h

Answers

Answer:

B would be the answer.

Step-by-step explanation:

Because 1 x 35 is 35. 35 x 2 is 70. 35 x 3 is 105. And so on. :> Good luckk

The answer would be b

AB and CD intersect at point O, ∠ACO ≅ ∠DBO, and BO ≅ CO . Prove that △ACO ≅ △DBO. Plz Help Me... Thanks

Answers

Since ∠COA and ∠BOD are vertical angles, they are congruent.

You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.

By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO

The proof is shown below:

What is congruency of Triangles?

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.

What is ASA congruency criteria?

ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Given:

∠ACO ≅ ∠DBO, and BO ≅ CO

as, ∠COA =∠BOD (vertically opposite angles)

∠ACO ≅ ∠DBO ( given)

BO ≅ CO ( given)

So, By ASA (Angle-Side-Angle) congruency,  △ACO ≅ △DBO

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A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

The guy above is right :)

Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(

Answers

If she moves two steps forward and one step backward, she ends up traveling forward by the distance of one step: 50cm.

So, she took three steps to travel 50cm.

20m = 2000cm
2000cm/50cm = 40
She will have to do her three steps forty times to reach 20m. Thats a total of 120 steps.
The answer is Laura walked 20cm to 50cm

for n prove by
[tex]3 + 3 {}^{2} + 3 {}^{3} ... + 3 {}^{n} = \frac{3(3 {}^{n} - 1) }{2} [/tex]
thank you​

Answers

Answer:

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

Step-by-step explanation:

Given

[tex]3 + 3^2 + 3^3 ...+ 3^n[/tex]

Required

Show that the sum of the series is [tex]\frac{3(3^{n}-1)}{2}[/tex]

The above shows the sum of a geometric series and this will be calculated as shown below;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

Where

a = First term;

[tex]a = 3[/tex]

r = common ratio

[tex]r = \frac{3^2}{3} = \frac{3^3}{3^2}[/tex]

[tex]r = 3[/tex]

Substitute 3 for r and 3 for a in the formula above;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex] becomes

[tex]S_n = \frac{3(3^n - 1)}{3 - 1}[/tex]

[tex]S_n = \frac{3(3^n - 1)}{2}[/tex]

Hence;

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

12 5 that is the answer for your question

|5x + 1 over 2y2| What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.

Answers

Answer:

2

Step-by-step explanation:

The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The expression is given below.

⇒ |5x + 1 / 2y²|

The value of the expression at x = 3 and y = 2, then we have

⇒ |5(3) + 1 / 2(2)²|

⇒ |15 + 1 / 2(4)|

⇒ |16 / 8|

⇒ 2

The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.

More about the function link is given below.

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Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.

Answers

Answer:

Step-by-step explanation:

option A ,  angle B is congruent to angle E { SINCE IT IS AA POSTULATE

Answer:

B=E (b)

Step-by-step explanation:

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.

Answers

Answer:

Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, Correct option: 1)

Hope It Helped!~ ♡

ItsNobody~ ☆

The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

The missing options are:

1.) 26002.) 2343.) 2604.) 2106

We have:

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats

As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10

A total number of combinations of letters followed by two digits can be calculated as follows:

As we have one letter and two digits

= 26×10×10

= 2600

, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

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simplified?
[tex]5 \sqrt{ - 8r} [/tex]
Im just confused on how the negative 8 will play out, and same with the non exponential variable.​

Answers

Answer:

[tex]10i\sqrt{2r}[/tex].

Step-by-step explanation:

[tex]5\sqrt{-8r}[/tex]

= [tex]5\sqrt{-1 * 2 * 2 * 2 * r}[/tex]

= [tex]5i\sqrt{2^2 * 2 * r}[/tex]            (i = the square root of -1)

= [tex]5i * 2\sqrt{2 r}[/tex]

= [tex]10i\sqrt{2r}[/tex]

Hope this helps!

5*sqrt(-8r) =
5i*sqrt(8r) =
10i*sqrt(2r)


The i is an 'imaginary number' and it represents the square root of -1.

A bouquet of flowers contains D daisies and T tulips and contains a total of F flowers. The number of daisies is two more than the number of tulips. Which equation matches this scenario?

A. D+2T=F
B. F−D+2=T
C. 2D+T=F
D. D+T+2=F
E. D+T=F+2

Answers

Answer: B (F-D+2=T)

Step-by-step explanation:

We know that daisies has 2 more than the tulips. (D+2 = T)

The answer is B

Flowers - Daises + 2 = T

Since daises has 2 more flowers than tulips, thats why theres a (+2)

bbbbbbbbbbbbbbbbb!!!!!!!!!!!!

Find the distance between the points P and Q shown. Question 6 options: A. 73−−√ B. 13−−√ C. 5–√ D. 65−−√

Answers

Answer:

[tex]d=\sqrt{73}[/tex]

Step-by-step explanation:

[tex]Q(5, -1)[/tex]

[tex]P(-3, 2)[/tex]

Using the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]

[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]

[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{73}[/tex]

[tex]d\approx 8.5[/tex]

answer is d = square root 73 bro

Select the correct answer.
Simplify.
V96

Answers

Answer:

[tex]4 \sqrt{6}[/tex]

Step-by-step explanation:

The question is not properly presented and has mission options; however, the solution is as follows

Given

[tex]\sqrt{96}[/tex]

Required

Simplify

[tex]\sqrt{96}[/tex]

Start by expanding

[tex]\sqrt{16 * 6}[/tex]

The expression can be split to:

[tex]\sqrt{16} * \sqrt{6}[/tex]

Take positive square root of 16

[tex]4 * \sqrt{6}[/tex]

[tex]4 \sqrt{6}[/tex]

The expression cannot be further simplified

4√6, try that it should be right.

Simplify
l3r-15l if r<5
SOLVE NOW PLEASE

Answers

Answer:

-3r + 15 ---> answer

Step-by-step explanation:

r < 5

You are going to multiply both sides with 3. The reason being is that 3 is a positive number and the equality sign will not change if you use +3.

3r < 15

Now, subtract 15 from both sides, you will get this:

3r < 15

-15   -15

-------------

3r — 15 < 0

Lastly, using the Modulus function, we are going to add a negative sign to the content of our previous step because it's already negative.

So, -3r + 15 is the final solution if r < 5 in the given equation of l3r-15l

Answer:

Step-by-step explanation:

3

help me plz I really need this thanks I will give a lot of points

Answers

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.

Find the slope of this graph

Answers

The answer is 3/2 you use rise over run , rise up 3 run 3, remember to pick 2 even points no points that look like they could be fractions . Whole numbers.
Option A. 3/2 is the slope of the graph

Please find the perimeter!

Answers

Answer:

1. half circle: C = (2πr) / 2

a. C = (2π4) / 2 ≈ 12.566

2. triangle:

a. find slant / hypotenuse.

i. 4² + 10² = c²

ii. 16 + 100 = c²

iii. c² = 116

iv. c ≈ 10.770

b. add both slants to find triangular area

i. 10.77 + 10.77 ≈ 21.54

3. add:

a. 12.566 + 21.54 ≈ 34.106 cm

hope this helps :)

I WILL GIVE BRAINLY AND 50 POINTS PLZZZZ HELP THANK YOU :D
What is the difference between -3 and -12?

-15
15
-9
9

Answers

Answer:

9

Step-by-step explanation:

difference means subtract

-3 - -12

Subtracting a negative is like adding

-3 + 12

9

Answer:

9

Step-by-step explanation:

Difference = -3 - (-12)

= -3 + 12

= 9

Jill can answer 50 math questions every 20 minutes.

Complete the table using equivalent ratios.

Minutes - Number of math questions

20 - 50

12 - ____

36 - ____

What are the answers to 12 and 36?

Answers

Answer:

12- 30

36- 90

Step-by-step explanation:

if she can answer 50 in 20 mins then that means she is answering 2.5 questions in 1 min and then you must multiply 2.5 by the number of mins she has making it

12 x 2.5= 30

36 x 2.5= 90

12 - 30
36- 90
hope that helps!
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