Amy uses 48-cent stamps and 7-cent stamps to mail a gift card to a friend. If the postage is $2.07, how many of each stamp did Amy use?

Answers

Answer 1

9514 1404 393

Answer:

  3 48-cent stamps

  9 7-cent stamps

Step-by-step explanation:

The number of 48-cent stamps Amy can use is less than 207/48 ≈ 4.3, so we can find the numbers by trial and error. We want ...

  48a +7b = 207 . . . . . . postage in cents, where a, b are the numbers of stamps

  b = (207 -48a)/7 = 29 4/7 -a(7 -1/7) = (29 -7a) +(a+4)/7

In order for b to be an integer, we must have (a+4) a multiple of 7. The least value of 'a' that will make this true is a=3. That value gives ...

  b = (29 -7·3) +(3+4)/7 = 8 +1 = 9

Amy used 3 48-cent stamps and 9 7-cent stamps.


Related Questions

Which of the following expressions is equivalent to the expression below?please help me ​

Answers

Answer: 14x+6

Step-by-step explanation:

by using distribution from the ”2” outside the parenthesis, you simply do

2x7= 14 (add the variable x) so 14x

then you do 2x3= 6

Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.

Answers

Answer:

[tex]y=\frac{1}{3} x+6[/tex]

Step-by-step explanation:

[tex](3,7)(-6,4)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

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

[tex]m=\frac{4-7}{-6-3}[/tex]

[tex]m=\frac{-3}{-9}[/tex]

[tex]m=\frac{3}{9}[/tex]

[tex]m=\frac{1}{3}[/tex]

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

[tex]y=\frac{1}{3} x+b[/tex]

Find the y-intercept (b) by using a point and substituting their x and y values

[tex]y=\frac{1}{3} x+b[/tex]

Point: (3, 7)

[tex]7=\frac{1}{3} (3)+b[/tex]

[tex]7=1+b[/tex]

[tex]b=7-1[/tex]

[tex]b=6[/tex]

Step 3. Write the equation in Slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3} x+6[/tex]

Please help and please give explanation

Answers

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2

Answers

E is the answer to this question

Maria has four hours of free time each day. She can spend it studying or working at the Wang's Chinese

Kitchen for $6.50 per hour. Curve A illustrates the trade-off between school grades and the wages Maria

could eam.

What are the maximum wages Maria could eam if she works five days a week?

b. What grades can she expect if she works 10 hours each week?

What advice would you give Maria if she were eaming $50 each week and making Ds?

a

c.

Answers

Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

Learn more about the production possibility curve here:

here;https://brainly.com/question/15520789

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Answers

Answer:

Step-by-step explanation:

M=189

N = 48

A = M*N

A = 189 * 48

A = 9072

Add -13 + 5. 8 -8 -18 18

Answers

Do you mean by add all the numbers?
If so this would be the answer:

80

URGENT HELP NEEDED

Solve for x.
3x - 29/5= -4

Answers

Answer:

[tex]3x - \frac{29}{5} = - 4 \\ 3x = - 4 + \frac{29}{5} \\ 3x = \frac{ - 20 + 29}{5} \\ \\ 3x = \frac{9}{5} \\ x = \frac{9}{5} \div 3 \\ x = \frac{9}{5} \times \frac{1}{3} \\ x = \frac{3}{5} [/tex]

I hope I helped you^_^

La chispa de un relámpago artificial de 10.0 MV libera una energia de 0.125 MW .s ¿Cuántos coulombs de
carga fluyen?

Answers

Answer:

nzbzbzZnzbznzbzbzhzhsbsjs

compare and explain. ​

Answers

5 pi is equal to 15.7 so it is greater than 15.07

PLZ HELP WITH BOTHHHHH

Answers

Answer:

(5,2)

(6,-6)

Step-by-step explanation:

5.4 - (9.5 - 8) - 2.5

(pls help and explain pls)

Answers

Answer:1.4

Step-by-step explanation:

Name the place value to which each number was rounded 16.932 to 20

Answers

Hi :)

Rounded to the tenth place value.

16 to 20

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.

What do you mean by nearest whole number?

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.

To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.

16.932 rounded to the nearest whole number = 17

Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.

Hence, the place value to which 16.932 was rounded is 17.

Learn more about Rounding off Number here:

https://brainly.com/question/17218460

#SPJ2

Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.

Answers

Answer:

i believe its 1512mm

Step-by-step explanation:

56mm x 27mm

y link
MIT
MULTIPLE CHOICE QUESTION
Is the following statement, True or False?
lf this same substance were cooling, the
freezing point, or moment when the
substance begins to freeze would happen
at 25 degrees Celsius.

Answers

Answer:

False False False because freezing point is 100 degree celsius

You want to buy a $239,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for
the rest
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 5%?
$
c) What will your monthly payments be if the interest rate is 6%?
Submit Question
3
1
O
A
оо

Answers

Answer: a) 191200 b) 557.67 c) 562.98

Step-by-step explanation:

a) 239000 times .8 (aka 80%) = 191200

b) 191200/(12 times 30) = 531.11

531.11 times 1.05 (5%) = 557.667

Round to nearest cent: 557.67

c) 191200/(12 times 30) = 531.11

531.11 times 1.06 (6%) = 562.978

Round to nearest cent: 562.98

A sample of single celled marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 600,000 cells. Calculate the per capita rate of increase (r) for the population.

Answers

9514 1404 393

Answer:

  r ≈ 19.6% per day

Step-by-step explanation:

The growth of the population can be modeled by ...

  P = P0 × (1 +r)^t

where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...

  600,000 = 100,000 × (1 +r)^10

  6^(1/10) = 1 +r

  r = 6^0.1 -1 ≈ 0.196231

The growth rate per day is about 19.6%.

4x-2=18x+5
Show ur work

Answers

x = -½

Step-by-step explanation:

[tex]4x - 2 = 18x + 5[/tex]

Collect like terms and simplify

[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]

Divide both sides of the equation by 14

[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]

Answer:

x = -1/2

Step-by-step explanation:

4x-2=18x+5

-2-5=18x-4x

-7=14x

-7/14=14/14x

-1/2=x

Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?

A. $21.70
B. $23.70
C. $25.55
D. $28.10

Answers

Answer:

21.70

Step-by-step explanation:

First find the discount

31 * 30%

31 *.30

9.3

Subtract from the original amount

31 - 9.3

21.70

please solve this question i need help​

Answers

Answer:

a=50

b=130

c=130

Step-by-step explanation:

2a-50=a(vertically opposite angles)

a=50

a+c=180(angles on straight line)

50+c=180

c=180-50=130

b=c(vertically opposite angles)

b=130

Help me pleaseeeeeeeee
||x-2|-6|=8

Answers

Answer:

x = -12  or  x = 16

Step-by-step explanation:

| x - 2 | - 6 =8  

           +6    +6

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

| x - 2 | = 14

---> we get x = -14

---> we get  x = 14

so, x = -12, or, x = 16

8x – 3 = 11 + 6x
What is x

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]8x-3=11+6x\\\\2x-3=11\\\\2x=14\\\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

8x - 3 = 11 + 6x

8x - 3 + 3 = 11 + 6x +3

8x = 6x + 14

8x - 6x = 6x + 14 - 6x

2x = 14

2x/2 = 14/2

x = 7

enter the range of values for x:

Answers

12x because you multiply it

Solve 4/5x + 1/3 = 3

Answers

Answer:

The answer is 10/3.
Answer : 10/3 :) hope this helps

(3,-8) and (7,-2)
Jeejekrjrjeksksndnfkfk

Answers

Answer:

First question(-14)

Second question(-24)

Step-by-step explanation:

8 x 3 = 24/since the signs are different the number will be negative.

7 x -2 = -14/since the signs are different the number will be negative.

hope this helps!! plz mark as brainly if it helps you<3

What is 7x-4(3x-2)=18

Answers

x=-2

i got this answer from photo math, you should download it. it give you all the answers and even explains how they got the answer!!

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answers

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

4w-41 = -7(w-2) Simplify your answer as much as possible.​

Answers

Answer:

w = -13

Step-by-step explanation:

4w - 41 = 7(w-2)

Open the bracket

4w -41 = 7w -14

Collect like terms

4w - 7w = 41 - 14

-3w = 27.

Divide both side by -3

w = -9

Answer: w = 5

Step-by-step explanation:

4w-41=-7w+14

4w+7w=14+41

11w=55

W = 55/11

W = 5

a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?

Answers

Answer:

it will be 736 speed faster than

A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
The short piece is inches long.

Answers

Answer =572 answer
Ok bye
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