Lashawn used 44 stamps to mail a package. He used a

combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,

totaling $15.01. If the number of $0.35 stamps is nine less

than twice the number of $0.50 stamps, find the number of

each type of stamp.

Answers

Answer 1

Answer:

Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package

Step-by-step explanation:

The given parameters are;

The number of stamps Lashawn used to mail the small package = 44

The price of the combination of 44 stamp = $15.01

The price categories of the stamps are $0.50, $0.35, and $0.02

The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9

Let, x represent the number of $0.50 stamps Lashawn used to mail the package

We have;

The number of $0.50 stamps Lashawn used to mail the package = x

The number of $0.35 stamps = 2 × x - 9 = 2·x - 9

The number of $0.35 stamps = 2·x - 9

The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x

The number of $0.02 stamps = 53 - 3·x

Which gives;

0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01

0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01

1.14·x - 2.09 = 15.01

1.14·x = 15.01 + 2.09 = 17.1

x = 17.1/1.14 = 15

x = 15

The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps

The number of $0.50 stamps Lashawn used = 15 stamps

The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps

The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.


Related Questions

A number divided by three less two is at most two

Answers

Answer:

6

Step-by-step explanation:

6/3 = 2

A Sub

sentence.

DVD Deals

Anthony and Miguel go to the store to purchase some new DVDs. An

advertisement in the window catches their attention.

DVD

T

Deals!

3 for $22,50

5 for $37.50



.

Part A (2 points)

Does the information on the sign represent a proportional relationship?

Explain how you know.

6

Answers

Answer: Yes. There's a proportional relationship

Step-by-step explanation:

We are told that Anthony and Miguel go to the store to purchase some new DVDs and that an advertisement in the window catches their attention as they saw that:

3 DVDs cost $22,50. This means the price of one will be:

= $22.50 / 3

= $7.50

5 DVDs cost $37.50. This means that the price for one will be:

= $37.50 / 5

= $7.50

Since the price of a DVD both cost $7.50, it means that the information on the sign represent a proportional relationship.

How do I solve 6a + 5a = −11

Answers

Answer:

a = - 1

Step-by-step explanation:

Step 1:

6a + 5a = - 11        Equation

Step 2:

11a = - 11         Combine Like Terms

Step 3:

a = - 11 ÷ 11       Divide

Answer:

a = - 1

Hope This Helps :)

The solution to the equation 6a + 5a = -11 is a = -1.

We have,

To solve the equation 6a + 5a = -11, we can combine the like terms on the left side of the equation and then isolate the variable a.

Step 1: Combine like terms

On the left side, we have 6a + 5a, which gives us 11a. The equation becomes:

11a = -11

Step 2: Isolate the variable

To isolate variable a, we divide both sides of the equation by 11:

(11a) / 11 = (-11) / 11

a = -1

Therefore,

The solution to the equation 6a + 5a = -11 is a = -1.

Learn more about expressions here:

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HELPPPPPPPPPP!
The function y = 6x describes the distance in inches an electric toy train covers after x seconds. Use the graph to estimate how many inches the toy train will run in 8.4 seconds.

Answers

total inches = 6 inches • 8.4 sec
total inches = 50.4

Simplify -4b + (-9k) - 6 - 3b + 12

Answers

Answer:

-7b - 9k + 6

General Formulas and Concepts:

Alg I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

-4b + (-9k) - 6 - 3b + 12

Step 2: Simplify

Rewrite:                                   -4b - 9k - 6 - 3b + 12Combine like terms (b):          -7b - 9k - 6 + 12Combine like terms:               -7b - 9k + 6

The ratio of cars to trucks is 3 to 2 in one parking lot

If there are 14 trucks, how many cars are there?
(I need help on that question)

Answers

Answer:

21

Step-by-step explanation:

[tex]\frac{x}{14} =\frac{3}{2} \\x=\frac{3}{2} \times 14=21[/tex]

Answer:21 cars to 14 trucks

Step-by-step explanation:

Solve using substitution.
11x + 15
10x + 20
X=
Solve please

Answers

hi

11x+15=10x+20

11x-10x= 20-15

    x= 5

Heyyyy x=5... hope this helps

How to solve 9(-4k+8b) b=-9 k=4

Answers

Answer:

504

Step-by-step explanation:

I hope this helps you out!

Selina walked 2 1/2 miles in 2/3 hour. Dennis 6 3/4 miles in 1 1/2 hours. Who walked faster and how much faster?

Answers

Answer:

Dennis walked faster by 0.75 miles/hr

Step-by-step explanation:

a)Selina's speed

speed= distance

                 time

          = 2.5 miles       =  3.75 miles/hr = the slower

               2/3 hrs

b) Dennis' speed

speed =  distance

                  time

           =  6.75 miles        = 4.5 miles/hr  = the faster    

                   1.5 hrs

difference in speed:

faster - slower

4.5 - 3.75

=0.75 miles/hr

Dennis walked 0.75 miles per hour faster than Selina's speed.

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine Selina's speed

speed = distance/time

speed = 2.5 miles/(2/3) hour

speed = 3.75 miles/hour

To determine Dennis' speed

speed = distance/time

speed = 6.75 miles/(1.5) hour

speed = 4.5 miles/hour

Here Dennis' speed is greater than Selina's speed which means Dennis walked faster.

     

So the difference in speed = Dennis' speed - Selina's speed

The difference in speed = 4.5 miles/hour - 3.75 miles/hour

The difference in speed = 0.75 miles/hr

Thus, Dennis walked 0.75 miles per hour faster than Selina's speed.

Learn more about the average speed here :

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PLEASE HELP HURRY

4+ 3x + 12 - 1/2x - 10

1. HOW MANY TERMS?
2. WHAT ARE THE LIKE TERMS?

Answers

Answer:

5 like terms

4, -10, and 12 are like terms

3x and -1/2x are like terms

The sum of two numbers is 22, and their difference is 12. What are the numbers?

Answers

Answer:

17,5

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

The slope is: -4/3

Step-by-step explanation:

HELP PLEASE !!!!!!!!!

Answers

Answer:

I believe it would be the first option

WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

17.738

Step-by-step explanation:

to find x we’ll use sine

sin69=x/19

(remember that sine = opposite/hypotenuse)

so x = 19sin69

when typing this in your calculator you might need to change from radian to degree mode

I WILL GIVE YOU A LOT OF POINTS 10 PLUS A BRAINLIEST.
USE THE ABSOLUTE VALUE TO FIND THE DISTANCE BETWEEN THE GIVEN PAIRS OF NUMBERS ON A NUMBER LINE NUMBERS A. 156 AND 235 B. -40 AND 83 C. -62 AND -145 D. 56 AND - 89

Answers

Answer:

A. 79

B. 123

C. 63

D. 145

Step-by-step explanation:

A. 156 & 235

235 - 156 = 79

Distance is 79

B. -40 & 83

|-40| = 40 + 83

= 123

Distance is 123

C. -62 & -145

|-125| - |-62|

= 125 - 62

= 63

Distance is 63

D. 56 & -89

|-89| = 89 + 56

= 145

Distance is 145

Answer:

A. 79

B. 123

C. 63

D. 145

Step-by-step explanation:

i need help it's 10th grade (sophomore) geometry

Answers

Answer:

1. 27

2. 1 and 2 = 17

3. 55

4. 55

5. 70

6. 125

7. 55

8. 95

9. 140

10. 40

11. 65

12. 75

13. 115

14. 27

15. 27

Step-by-step explanation:

Bob is having a cookout. He bought 6 liters of seltzer water. How many full 1-pint servings of seltzer can he pour?
(1 L = 2.11 pt)
a. 6
c. 18
b. 12
d. 21

Answers

Answer:

B

Step-by-step explanation:

6 x 2.11 = 12.66

The value of a 1-pint serving of shelter will be 12.66 liters. The correct option is b.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.

Given that Bob is having a cookout. He bought 6 litres of seltzer water. The quantity of water for 1 point of serving is,

Quantity = 6 x 2.11

Quantity = 12.66

The quantity will be equal to 12.66 pints.

To know more about an expression follow

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-0+2

Ezzzzzzzzzzzzzzzzzzzzzzzz

Answers

2 is the answer lol .

A passenger on a stranded lifeboat shoots two distress flares into the air. The first flare travels a maximum height 196 feet and lands in the water after 7 seconds. The height (feet) of the second flare above the water is given by f(t) = -16t(t-8), where t is time (seconds) since the flare was shot. Which flare travels higher? Which remains in the air longer?

Answers

Answer:

The second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare

Step-by-step explanation:

The given parameters are;

The height of the first flare = 196 feet

The duration the first flare spends in the air = 7 seconds

The function representing the height of the second flair is f(t) = -16t(t - 8)

Where;

t = The time since the passenger shot the second flare

The time the flair stays i the air is given by the time it takes for the height, f(t),  to be 0 as follows;

f(t) = 0 = -16t(t - 8)

-16t(t - 8) = 0

t = 0, or t = 8

The time the second flare stays in the air = 8 seconds

The maximum height reached by the second flair is given by the finding the maximum point of the curve of the function as follows;

d(f(t))/dt = 0 = d(-16t(t - 8))/dt = -32t + 128 at the maximum point (the coefficient of t² is negative in the quadratic equation)

-32t + 128 = 0

128 = 32t

32t = 128

t = 128/32 = 4

t = 4 at maximum height and f(4) = -16 × 4 × (4 - 8) = 256 feet

The maximum height reached by the second flare f(4) = -16 × 4 × (4 - 8) = 256 feet.

Therefore, the second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare, with maximum height of 196 feet, and time in the air of 7 seconds.

Correct Answer Will get Brainliest

You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions.

9 ft x 9 ft

Answers

Answer:48.6

we know that

You can paint 75 square feet of a surface every 45 minutes

so

using proportion  

Find out how long it takes you to paint a surface area of 81 square feet

45(81)/75=48.6

hope this helped and I hope you get a correct answer :D

Answer:

48.6 minutes

Step-by-step explanation:

First we must identify the area of the given wall :

A = L * W

A = 9 * 9

81 = 9 * 9

[tex]81ft^2[/tex]

Now we know that we can paint 75 square feet every 45 minutes so we must use proportion to find out how long it'll take you.

[tex]\frac{75}{45} *\frac{ft^2}{min}[/tex]

=

[tex]\frac{81}{x}[/tex] [tex]\frac{ft^2}{min}[/tex]

x = 45(81) / 75

x = 3645 / 75

x = 48.6 minutes


What is $500= blank+ $600

Answers

Answer:

-100$

Step-by-step explanation:

Adding a negitive number to a positive number is basically subtracting it, and since 600-100 is 500 that means 600 + -100 is also 500.

I need to fine the midpoint of this slope they gave me​

Answers

Answer:

The midpoint would be (-3, 1)

Step-by-step explanation:

since the formula for midpoint is [tex](\frac{x^{1} +x^{2} }{2}, \frac{y^{1} +y^{2} }{2} )[/tex], you would just have to plug in the coordinates given on the graph. I think your points are (-1, 4) and (-5, -2).

[tex](\frac{-1 -5}{2}, \frac{4-2}{2} )[/tex]

[tex](\frac{-6}{2}, \frac{2}{2} )[/tex]

If you simplify, then you should get (-3, 1)!

Answer
(-3,1)
Explanation

Nell made a pizza.She cut the pizza into fourths.Then she cut each fourth into four pieces.Nell and her friends ate 6 of the smaller pieces of the pizza. What fraction of the pizza did Nell and her friends NOT eat?

Answers

Answer:

5/8

Step-by-step explanation:

They ate 6/16 which the left is 10/16 is 5/8

question 8 pls help me please

Answers

The correct answer is B

Answer:

B

Step-by-step explanation:

A is Standard Intercept Form

B is Point Slope Form

The rest are used for other problems I'm unsure of

Which expression is equivalent to (x2+3x−5)− (4x2+3x−6)
PLEASE HURRY>>>>
A. 5x2+6x−11

B. −3x2+1

C. −3x2+1

D. −3x4+6x2+1

Answers

Answer:

B

Step-by-step explanation:

Given

x² + 3x - 5 - (4x² + 3x - 6) ← distribute parenthesis by - 1

= x² + 3x - 5 - 4x² - 3x + 6 ← collect like terms

= - 3x² + 1 → B

Graph the inequality 4.r - y< 8
Pleaseee help a girl out

Answers

Answer:

?

Step-by-step explanation:

Given the general identity tan X = , which equation relating the acute angles, A and C, of a right ∆ABC is true?

Answers

Answer:

A. tan A = sin A / sin C

Step-by-step explanation:

Answer:

tan A = sin A / sin C

Step-by-step explanation:

can someone help me please. thanks!​

Answers

Is this for a test or something?

x+37+x+67=90
Simplify Equation
2x+104=90
-140 on both sides of equation
2x=-14
Now divide by x
x=-7

Now that you have x you can plug that into both equations, and thus will give you the answer to A.

A=30 degrees

Whats the constant of proportinality?

Answers

Answer:

1.5

Step-by-step explanation:

3÷2= 1.5

6÷4=1.5

12÷8= 1.5

Which polygon has one set of parallel sides and at least one right angle? On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides and 1 right angle. On a coordinate plane, a polygon has no parallel sides.

Answers

Answer:

the answer would be option C. I just took the quiz

Step-by-step explanation:

i took the test!!!!!

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