The school store sells pencils and erasers.
• For 3 pencils and 2 erasers, the cost is $0.76.
• For 2 pencils and 4 erasers, the cost is $1.04.
How much more does 1 eraser cost than 1 pencil?

Answers

Answer 1

Answer:

$0.18

Step-by-step explanation:

we need to set up two simultaneous equations

using variables, pencils = p and erasers = e

3 pencils and 2 erasers, the cost is $0.76

3p + 2e = $0.76

2 pencils and 4 erasers, the cost is $1.04.

2p + 4e = $1.04

we now have

3p + 2e = $0.76

2p + 4e = $1.04

to make the number of erasers the same, multiply the first equation by 2 to give 4e

2(3p + 2e = $0.76)

6p + 4e = $1.52

now we have the same number of erasers for both equations

6p + 4e = $1.52

2p + 4e = $1.04

subtract across: 6p - 2p = 4p, 4e - 4e = 0, $1.52 - $1.04 = $0.48

we are left with 4p = $0.48

divide both sides by 4

p = $0.12

1 pencil = $0.12

go back to the start of both equations and use one of them to find 1 eraser. I'll use 3p + 2e = $0.76

input $0.12 in p

3($0.12) + 2e = $0.76

$0.36 + 2e = $0.76

subtract $0.36 on both sides

2e = $0.76 - $0.36

2e = $0.40

divide 2 on both sides

e = $0.20

1 eraser = $0.20

How much more does 1 eraser cost than 1 pencil?

we now know 1 pencil = $0.12 and 1 eraser = $0.20

find the difference between them

$0.20 - $0.12 = $0.18

final answer= $0.18


Related Questions

Can y’all solve this please

Answers

Answer:

a. the coordinates of g = 1 and -5

explanation

x-1=0 OR x+5=0

collect like terms

x=1. OR x=-5

If Jonny buys 6 shirts and every shirt is 20% off but the normal price is $20.00. how much will Jonny pay in total?

Answers

Answer:

Okay I will do this in two orders cause I do not understand if the shirt cost 20 dollars each or all together

Step-by-step explanation:

1.  if each shirt cost 20 bucks 2x6=12 add the 0 = $120

20% off 120 = $96

2. if in all the shirt cost 20 bucks

20% off 20 = $16 bucks

                                           Hope This Helped!

Divide using polynomial long division.
(2x3 – 16x² + 37x – 26) = (x - 5)

Answers

the solution to the given synthetic division will be expressed as [tex](2x^2 - 6x + 7) + \frac{9}{x-5}[/tex]

Synthetic division of a polynomial

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

                 -6x² +37x

                 -6x² +30x

             _______________

                             7x   - 26

                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 [tex]P(x) = Q(x) + \frac{R(x)}{D(x)} \\(2x^3 -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}[/tex]

Learn more on synthetic division here: https://brainly.com/question/24662212

Let f(x) = 3x² + 1 and g(x) = x +4.

Find (f +g)(x)

and (f -g)(x).

Answers

Answer:

(f + g)(x) = 3x² + x + 5

(f - g)(x) = 3x² - x - 3

Step-by-step explanation:

(f + g)(x) → f(x) + g(x) → 3x² + 1 + x + 4

Combine like terms and you get: 3x² + x + 5

(f - g)(x) → f(x) - g(x) → 3x² + 1 - (x + 4)

Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3

it took mama thuli 1,45 hrs to bake her delicious cake.how many minutes did she spend baking?​

Answers

how many hours? 1 hour 45 minutes of 145 hours lol?

Are the expressions -18 - 1/2(50z + 60) - 35z and 6(-12 - 10z + 4) both equivalent to 12(-5z - 4)? Show your work.

Answers

Answer:

Yes! :)

Step-by-step explanation:

-18 - 25z - 30 - 35z = -48 - 60z = 12(-4 - 5z)

-72 - 60z + 24 = -48 - 60z = 12(-4 - 5z)

Fill in the table (image provided)

Answers

Answer:

year 2 = 136

year 3 = 182

year 6 = 228

year 7 = 251


Answer & Explanation:

So the alien is 90 cm at birth. Your just going to add 23 for each year to the birth number of 90, because a year = 23 cm of growth

At 2 years it will be
90 + 23 + 23 = 136

At 4 years it will be
90 + 23 + 23 + 23 + 23 = 182

At 6 years it will be
23 x 6 = 138, 138 + 90 = 228

At 7 years it will be
23 x 7 = 161, 161 + 90 = 251

1. Choose the problem that matches the number line solution

Answers

2x3/5 because if you look at the line, it moves twice so thats 2, and it goes over to 3/5 each time
hope this helps

which food sources scarcity caused the yellowstone national park beaver population to decrease​

Answers

Answer:

elk out-competed beavers for food — particularly willow and aspen trees

Step-by-step explanation:

1. Find the area of the parallelogram. (1 point)
67 ft
60 ft
52ft

A 3,302 ft 2

B 3,484 ft 2

C 3,752 ft 2

D 4,020 ft 2

Answers

to find the area of a parallelogram multiply the base times the height. in this case since no picture was provided, one cannot know which is the base and which is the height

The perimeter of a rectangular garden is 50 feet. The width is 4
times the length. What is the length and width of the garden?

Answers

W = 4 l
(L+4l )2= 50
5l*2 = 50
10l = 50
L = 5
W = 20

This right circular cone has a volume of 751 cubic inches. The height of the cone is 9 inches. What is the length of the radius?

A) 4 in.

B) 5 in.

C) 6 in.

D) 8 in.

WILL MARK BRAINLIEST IF ANSWERED CORRECTLY AND QUICKLY​

Answers

I’m going to guess that the answer to this question is 6 inches because it is C the 3rd answer

can someone please help !

Answers

The first option is the correct answer

As x -> ○○ , f(x) -> ○○ , As x -> -2 , f(x) -> 4

What value of x is in the solution set of 8x – 6 ≥ 12 + 2x?

Answers

Answer:

(Attached Below)

Step-by-step explanation:

Answer:

x [tex]\geq[/tex] 3

Step-by-step explanation:

8x - 6 [tex]\geq[/tex]  12 + 2x

First, take the smallest value of x away from the largest.

6x - 6 [tex]\geq[/tex] 12

Then, add 6 on both sides. (Always do the opposite!)

6x [tex]\geq[/tex] 18

Finally, divide by 6

x [tex]\geq[/tex] 3

What is the slope for the line describing calories burned while hiking?

Answers

Answer:

6

Step-by-step explanation:

(360-120)/(60-20)

=240/40

=6

hope this helps

One baseball costs $2.99. A bin of 12 baseballs cost $34.99. Is it cheaper
per baseball to buy 1 or 12?

Answers

It’s cheaper to buy 12 . If you bought 1 baseball 12 times it would be $35.88
It’s cheaper to buy 12 baseballs because if you buy 1 you would have to double up, if you bought it 12x it would b 35$ and some change.

please help ASAP What is the surface area of the square pyramid represented by the net?

Answers

Answer:

144

Step-by-step explanation:

all of the triangles add up to 108m^2 and the middle adds up to 36m^2 so add them together and you get the surface area.

Answer:

144 m²

Step-by-step explanation:

From the diagram, we can see that the shape is made up of a square and 4 triangles. (We know it's a square as its width and length are equal).

First, find the area of the square.

Area of a square = width x length = 6 x 6 = 36 m²

All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 9 = 27 m²

So the total area of all 4 triangles = 4 x 27 = 108 m²

Therefore the total surface area = 36 + 108 = 144 m²

you are in Hawaii walking around a circular volcano.it has a diameter of 25 miles. you got tired and only walked 1/4 of the way around how far did you walk?

Answers

Answer:

19.625 miles

Step-by-step explanation:

The diameter of the circle is 25 miles, so the circumference is 25 x pi = 78.5.

78.5 x 1/4 (0.25) = 19.625 miles

What is 340x450=?
answer plz

Answers

Answer:

153000

Step-by-step explanation:

340x450=153000

Answer:

153k

Step by step explanation:

What is the slope of the line? y - 4= -7(x-6) Choose 1 answer: 1 А. 7 4. B 7 --7 2 3​

Answers

Step-by-step explanation:

the slope is always the factor of x.

in slope intercept form, as well as here in point slope form.

the important thing is that the y term is just brought to a simple positive y form (and not cy with c is different than 1).

and then, what you see on the other side as factor is x is the slope.

here : -7

the other numbers in the equating are irrelevant for the slope. they determine the "offset" of the line from (0, 0).

54 ÷ ( 8 - 5 )



full explanation too please​

Answers

Use order of operations.
First step do inside the parentheses

8-5 = 3


Now you have 54 / 3


Now divide

54/3 = 18


answer: 18

Answer:

18

Step-by-step explanation:

PEMDAS

P = parentheses

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

If the expression contains parentheses, always solve what's in them first

then if there are exponents, solve them

then do any multiplication or division, from left to right

last, do any additon or subtraction, from left to right

In this problem all we have to do is subtract 8 and 5 to get 3 and then divide that into 54 to get 18

Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.

How many pounds of turkey did she eat?

Enter your answer in the box as a fraction in simplest form.

(20 points)

Answers

first change the fractions so they have common denominators.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

now we can figure out how much she ate

8/12-3/12=5/12

So, Pilar ate 5/12 pounds of turkey.

Answer:

1/6

Step-by-step explanation:

confirmed!

6. rolling a 1, 2, or 3 on the first roll of a 1-6 number cube and
rolling a 4, 5, or 6 on the second roll of the same cube
Find the probability

Answers

Answer: The probability is 1/4

Step-by-step explanation:

The odds of rolling a 1,2, or 3 on the first roll is 3/6 or 1/2.

The odds of rolling a 4,5, or 6 on the second roll is also 3/6 or 1/2

The odds all together is 1/4 because 1/2 divided by 1/2 is 1/4.

If I’m wrong tell me

A scale drawing of an automobile has a scale of 1 inch = 12 1/2 foot. The actual width of the car is 5 feet. What is the width on the scale drawing?

Answers

Answer:

The width of the scale drawing would be 16 inches

I will give brainliest if you answer this The ratio of quarts of paint thinner to color when making a special paint is 2 to 6. Which of the tables represents this same ratio?
A
B
C
D

Answers

Answer:

A?

Step-by-step explanation:

combining like terms: 6(7-3y)+6(y+1)
I NEED HELP ILL GIVE U ALL MY POINTS!!

Answers

Answer:

-12y + 48 !

Step-by-step explanation:

hope this helps :))

Answer:

48 - 12y

Step-by-step explanation:

6(7-3y)+6(y+1)

Distribute 6.

(42 - 18y) + (6y + 6)

Now add the "y"

42 - 12y + 6

Now add the intergers

48 - 12y

a champion jumping frog can jump every 2.5 meters every four seconds what is the jumping frogs average speed​

Answers

0.625 meters per second


[tex] \frac{5}{12} \times \frac{1}{2} = [/tex]

help me out plz ​

Answers

Answer:

5/24

Step-by-step explanation:

Multiply numerators and denominators

5/24

Solve for X and Y substitution

-5X +6y=12
Y=5/6x+2

Answers

Answer:

Infinitely many solutions.

Explanation:

Given:

-5X +6y=12 .........eq 1

Y=5/6x+2 ..........eq 2

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

-5X +6y=12

6y = 12 + 5x .......eq 3

(  Y=5/6x+2  )   * 6

6Y = 5X + 12 ...........eq 4

Using equation 3 and 4:

6y = 12 + 5x

6Y = 5X + 12

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

0    

They are equal and cancels out. Therefore Infinitely many solutions.

David spent 25% of his money at the department store. If he had $27.36 left, how much money did he start with

Answers

Answer:

$36.48

Step-by-step explanation:

David spent 25% of his money and left with:

100 - 25 = 75%

This is same as $27.36

Find initial amount, the 100%:

27.36/75*100 = 36.48
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