In a stationary store,pencils have one price and pens have another price.Two pencils and three pens cost 78 cents.However, 3 pencils and 2 pens cost 72 cents . How much does one pencil cost?

Answers

Answer 1

Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.


Related Questions

what is the product of -9(5-2x)​

Answers

Answer:

-45+18x

Step-by-step explanation:

A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week. (a) Write out the set of inequalities you would use to represent the constraints in this situation. (b) Identify the corner points. (c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure to show the comparison in your work. Use linear programming to solve.

Answers

Answer:

10020

Step-by-step explanation:

What is the decimal approximation of 11
after ROUNDING to the nearest tenth?

Answers

Answer:

  11.0

Step-by-step explanation:

11 is an integer. Rounding to any precision of 1 or less does not change its value. You can express the fact that the digit in the tenths place is zero, if you like.

  11.0

what is the diameter of 8cm in circle form?​

Answers

Answer:

What is the circumference of a circle with diameter 8cm? Circumference of a circle = 3.14 x d 3.14 x 8 = 25.12 Therefore the circumference of a circle with the diameter of 8cm is 25.12cm. What is...

Step-by-step explanation:

25.12 is your answer :) enjoy

2. Sketch the graph: 4y – 3x = 12.​

Answers

Answer:

  see below

Step-by-step explanation:

A graphing calculator is useful for this.

__

To find the x-intercept, set y=0 and solve for x:

  0 -3x = 12

  x = -4 . . . . . . divide by -3

To find the y-intercept, set x=0 and solve for y:

  4y - 0 = 12

  y = 3 . . . . . . divide by 4

Plot the x- and y-intercepts on their respective axes and draw a line through them.

Show all work to multiply expression. (image included) 50 points, will mark brainliest.

Answers

Answer:

im pretty sure it would be 5

Step-by-step explanation:

(-64=)-8+6=-2+(-16=)-4-3=5

Answer:

50

Step-by-step explanation:

(6 + √-64) (3 - √-16)

= (6 + 8i) (3 - √-16)

= (6 + 8i) (3 - 4i)

= (6 * 3 - 8 (-4)) + (6(-4) + 8 * 3)i

= 6 * 3 - 8(-4) = 50

= 6(-4) + 8*3 = 0

= 50 + 0i

= 50

Evaluate each expression. y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5

Answers

Answer:

3

Step-by-step explanation:

(5÷5)+1+(6÷6)

1+1+(6÷6)

1+1+1

3

the answer is 3 because y=5 and x=6 so 5 divided by 5 is 1 then 1+1=2, 6 divided by 6 is 1 so then 1+2=3. Final answer is 3

HELP!! What is f(x) = 4x + 8 when x = 7

Answers

Answer:

Subtract 2 2 from 2 2 . Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x4−2 f - 1 ( x ) = x 4 - 2 is the inverse of f(x)=4x+8 f ( x ) = 4 x + 8 .

Answer:

36

Step-by-step explanation:

4(7) = 28

28+8=36

why is 6 scared of 7










.....



cuz 789



aaaaaaahhhhhhhhhhhhh​

Answers

Answer:

ahhhhhhhhhhhhh

Step-by-step explanation:

perform this operation: ​

Answers

5 is the answer first divide 24 with eight then subtract three

By​ himself, a person can mow his lawn in 60 minutes. If his daughter​ helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow the lawn by​ herself?

Answers

Answer:

180 minutes

Step-by-step explanation:

if a number is a whole number, then it cannot be _
a) an irrational number
b) an integer
c) a rational number
d) a natural number​

Answers

Answer:

Irrational number,

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

express the set in interval notation:​

Answers

(2,infinity)
(the first option)

reason:

the 2 is a ( because that’s what is shown on the number line. infinity is also a ) because infinity can’t have a ]

3.14787898.... Will be classified as what according to the real number
system?
Real, irrational
Real, rational, integer
real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number

Answers

Answer:

real irrational

Step-by-step explanation:

integers do not have decimals.

if the fraction 396/x-10 is equivalent to -22, find the value of x.

Answers

Answer: x = -8

Step-by-step explanation:

1. Miltiply x-10 on both sides: 396 = -22(x - 10)

2. Distribute -22 to (x - 10): 396 = -22x + 220

3. Subtract 220 from 396: 176 = -22x

4. Divide both sides by -22 to get x by itself: x = -8

I hope this is helpful :)

An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image

Answers

Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

Translate the following,
The difference between a number and ten is the same as three times the sum of the number and​ six.

Answers

Answer:

x-10 = 3(x+6)

Step-by-step explanation:

The difference between x and 10

(x-10)

Is the same thing as 3*(x+6)

=3(x+6)

hey this was from class today and i want to know why he made the second difference equal to 2a. i have no idea where he got it from. thanks

Answers

Poopsy is the time of y’all getting

5.5% of x =19.84 find x​

Answers

Answer:

ur answer is

5.5/100*x=19.84

X=19.84*100/5.5

X=360.72

Let a and b be numbers and b70, and let m and n be positive integers. Write each expression using the fewest number of bases possible. ​

Answers

Answer:

umm...sorry but plz can u tell me of which class is it

The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B?

Answers

Answer:

(-7,-3)

Step-by-step explanation:

From A to M, the x value went down 2.  If it goes down another 2, it will be at -7.

From A to M, the y value went down 3.  If it goes down another 3, it will be at -3.

(-7,-3)

Does anyone know how to do any of these problems? My notes are no help and none of my classmates know what to do either.

Answers

Answer:

17) 40°

18) 3x+22

19) (1,-4.5)

20) (-1,-2.5)

Step-by-step explanation:

17) 99=59=40°

18) 2x+7+x+15=3x+22

19) 6-(-8)=14

14/2=7

-8+7=1

-2-(-7)=5

5/2=2.5

-2-2.5=-4.5

midpoint = (1,-4.5)

20) 6-(-8)=14

14/2=7

-8+7=-1

5-(-10)=15

15/2=7.5

-10+7.5=-2.5

Midpoint = (-1,-2.5)

simplify the expression

Answers

Answer:

9

Step-by-step explanation:

Since the absolute value of -9 is 9.

Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I?

Answers

Answer:

rectangle

Step-by-step explanation:

two sides are longer than the other while being parallel

400 A whole number a integer a real number or rational number

Answers

Answer:

All of the above

Step-by-step explanation:

A whole number and integers are numbers that don't have decimals.

A rational number is a number that can be written as a fraction

A real number is any number that is not complex, which means that it has an imaginary solution or imaginary number part of it.

What is the missing statement for step 6?​

Answers

Answer: c

Step-by-step explanation:

Represent this statement as an equation: The difference of twice a number and 3 is 11.

Answers

Answer:

2x - 3 = 11

Step-by-step explanation:

"difference" means subtraction, so it is subtraction.

"twice a number" simply means 2x, since you do not know what the specified number is, it is x. and the 2 and just making it twice the number.

"Is 11" just means equals 11.

so, 2x - 3 = 11.

hope this helps!

Is 400 A whole number a integer a real number or rational number

Answers

Answer:

400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1

Step-by-step explanation:

the square root of 400 is  rational  because  the product is 20  which is a whole number making it  a rational number  because a rational number  is any  interger, fraction , terminating decimal, or repeating decimal.

I need help can someone pls find the answer

Answers

Answer:

4 is the answer

Step-by-step explanation:

because they gave 6into-4 =24

6into4 =24

I think it will help full for uu

it is helpful pls. do lijee

is 2.875 a rational or irrational number?

Answers

yessssssssssssssssssssssss

Other Questions
identify colony and one southern colony founded for religious reasons. what is the answer to d = -f + 2/3a The idea that good things will happen to the worthy and bad things will happen to the unworthy is known as Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion of his basement. What is the area of the space he can cover with carpet? HELP ME PLEASE!!!!!! 5 paragraph report. What should you keep in an emergency backpack? How could you model this process in a different way? Explain how youd design this model so that the entire process is clear to the reader. Which of the following is not a symptom of depression?O irritabilityO fatigueO euphorialoss of appetite What is the Standard form of five and three hundred fifty-two thousandths? Elizabeth bishop one art The digit that would have to be estimated in reading this instrument would be the nearest:A: 0.001 gB:0.01 gC: 0.1 gD: 0.0001 g Why might Franklin see hope as impractical or even dangerous? Which statements describe constructive forces? Check all that apply. A volcano erupts. A river deposits gravel at a bend. Tree roots crack a boulder. A glacier carves rocks as it moves. Wind throws sand against a statue. Plate movement creates mountains. How would the end of the fairy tale "Cinderella" most likely change if the prince were not motivated to find the owner of the glass slipper?1. The prince would marry one of Cinderellas sisters.2. Cinderella would continue to live a miserable life.3. The prince would become impoverished, like Cinderella.4. Cinderella would ask her stepmother to find the prince. Which of the following terms best describes the suburban area of Illinois where manyresidents commute to Chicago? Which of the following must be true?If (d) = 58 then d = 58 onlyBIf yl = 11 then y = 11 and y = -11CIf [x] = 18 then r = -18 onlyDIf [n] = -49 then n = -49 and n = 49 How did this law code impact men in Babylonian society What time during the 1700s marked by the use of reason in philosophy, government, and science. Many of the ideas of the enlightenment would use during the American revolution and informing the government of the United States Use the ogive to approximate (a) the number in the sample, (b) the location of the greatest increase in frequency. smith math class has 40 students but students drop out at a rate of two students per week how much students will be in mr.smith class after 7 weeks of school Seriation depends on ______________ a. the natural popularity of styles. b. arranging artifacts by frequency of use. c. being combined with stratigraphy. d. all of the above.