Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.

Ethan Bought 4 Packages Of Pencils. After He Gave 8 Pencils To His Friends, He Had 40 Pencilsleft Over.

Answers

Answer 1

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps


Related Questions

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one
ball at random. What is the probability that the next ball he randomly chooses will be
red or green?
Type the answer in the box as a fraction in simplest form.

Answers

Answer:

7/11 green or red balls

Step-by-step explanation:

5 + 3 + 2 = 11 = whole basket

5 + 2 = 7 = red + green

probability = 7 / 11  balls

Hope this helps!

The probability that the next ball he randomly chooses will be red or green is 7/10

Probability

From the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green

From the given information,

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls

∴ Total number of possible outcome = 5 + 3 + 2 = 10

Now we will determine the probability of picking red

Using the formula,

[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]

∴ [tex]P(R) = \frac{5}{10}[/tex]

For the probability of picking green

[tex]P(G) = \frac{2}{10}[/tex]

Then, the probability of red or green is

∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]

[tex]P(R \ or \ G) = \frac{7}{10}[/tex]

Hence, the probability that the next ball he randomly chooses will be red or green is 7/10

Lear more on Probaility here: https://brainly.com/question/251701

#SPJ 2

Helppppp plsss?!?!?!?!?!

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x 7 x 7=153.86

Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false

Answers

Answer: B

Step-by-step explanation:

HELP WITH 4. AND 5. Thanks in advance

Answers

here’s the answers hope this helps

Which of the following subsets of ℝ3×3 are subspaces of ℝ3×3? A. The 3×3 matrices of rank 2 B. The 3×3 matrices in reduced row-echelon form C. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The diagonal 3×3 matrices E. The 3×3 matrices with all zeros in the second row F. The invertible 3×3 matrices

Answers

Answer:

The answer is "Option C, Option D, and Option E".

Step-by-step explanation:

In point, A: Its matrix (aA+bB) for A, B matrices of rank 2 is not always of rank 2. for Rank(A+B) is smaller or equivalent to RankA+B.

In point B: The two matrices, A, B, and each entry is equal to or larger than zero. Then, take a = -1 = b, and so all entries (aA+bB) belong to the subset are less than or equal to Zero.hence.

In point C: We get the matrix (aA+bB) for A, B matrices with trace 0. Trace zero.  (aA + bB) trace is  (a×trace(A) + b×trace(B)) thus null.

In point D: For Both A and B, the matrix (aA+bB) is again diagonal for two diagonal matrices.

In point E: For Both A and B matrices, each insertion in second row zero will also have the second-row matrix (aA+bB) as zero.

In point F: In this case, A and B must become two reduced raw echelons, so that A+E is also a reduced raw shape.

Find the value of x
A.9
B.18
C.45
D.90

Answers

9514 1404 393

Answer:

  B.  18

Step-by-step explanation:

The vertical angles are supplementary to the same angle.

  4x +(2y+x) = 180

  (2y-x) +(2y+x) = 180

We can solve the second equation first to find the value of y:

  4y = 180 . . . . simplified

  2y = 90 . . . . .divide by 2

Substituting into the first equation, we have ...

  5x +2y = 180

  5x +90 = 180

  5x = 90

  x = 18  . . .  matches choice B

Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13

Answers

The one equation that doesn’t have a solution of x=0.5 is D) 3x+3=-2x+13

Help! I honestly dont get this !

Answers

Answer:

i don't get that ether

Step-by-step explanation:

Can someone help pls :)

Answers

Answer:

21,42,63,84,105

Step-by-step explanation:

Answer:

21x1=21

21x2=42

21x3=63

21x4= 84

21x5=105

Step-by-step explanation:

3x - 4 < 8 and 2x+ 2 > 4
20 points crq

Answers

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

A circle has a diameter of 60m. What is its circumference?

Answers

The circumference would be 188.5m

Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each one set of silver magnetic spheres and brass magnetic spheres respectively. One set of silver magnetic spheres yields a profit of $3 while a set of brass magnetic spheres yields a profit of $5. Ms. Ball estimates that no more than 2000 sets of magnetic spheres will be sold every month and she does not plan to invest more than $20,000 in inventory of these sets. How many sets of each type of magnetic spheres should be stocked in order to maximize her total monthly profit? What is her maximum monthly profit?​

Answers

Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

I will give brainliest :)

Which equation represents this tape diagram?
44

• 4x+3x=44
• 4+(3+x) = 44
• 4(3+x)=44
• 4x+3=44

Answers

4(3+x) = 44 hope this helps

Convert 66 inches to meters.
Conversion table:
1 meter = 3.281 feet
1 foot = 12 inches

Answers

First, divide the number of inches by 12 to get feet:

66 / 12 = 5.5 feet

Then, convert feet to meters:

5.5 feet / 3.281 = 1.68 meters

I need help please help me out

Answers

67,704 multiply 168 times 403

Answer:

2821

Step-by-step explanation:

Uhm.. sorry if its wrong i'm not completely sure about it :/

The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.

Answers

Answer:

The width is 4 cm

The length is 12 cm.

Step-by-step explanation:

Area of a rectangle

Given a rectangle of width W and length L, its area is calculated as follows:

[tex]A=W\cdot L[/tex]

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

[tex]W\cdot L=48[/tex]

[tex]W\cdot 3W=48[/tex]

Simplifying:

[tex]3W^2=48[/tex]

Solving:

[tex]W^2=48/3=16[/tex]

[tex]W=\sqrt{16}=4[/tex]

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

1079 divided by 4 Yeah Also whoever helps thank you :D

Answers

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)

Answers

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

The yield in bushels from a grove of orange trees is given by Y = x(600 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?

Answers

Answer:

90000

Step-by-step explanation:

Y = x(600 - x)

Let's rearrange the equation so that we have

Y = x(-x + 600)

Y = -x² + 600

When you take a look at parabolas, we know that their maximum or minimum values are usually on the axis of symmetry. This axis of symmetry has an equation of

x = -b/2a,

In this question, the axis of symmetry is

x = -600 / -2

x = 300

This means that planting 300 trees will maximize your yield. If you substitute for x = 300 into the equation, the maximum yield will be

y = 300 (600 - 300)

y = 90000.

Answer: 300

Step-by-step explanation:

use the formula X=-b/2a

x=-600/-2

x=300

janelle has 25 pictures on her cell phone.she takes 7 more pictures, and then deletes 9 pictures . how many pictures does she have ?

Answers

Answer:

23

Step-by-step explanation:

Answer: 23 pictures

Step-by-step explanation:

25 + 7 = 32

32 - 9 = 23

Your answer will be 23 pictures.

Hope this helps!

Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=

Answers

Answer:

1 is -47.

2 is -20

3 is 16.

4 is 33.

Step-by-step explanation:

Brainiest?

1. -47
2. -20
3. 16
4. 33

On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park

Answers

4 ice cream shops
hope this helps!

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

also go to g-mail to check out my

Type in Brandon Acevedo

okay

Use the properties of logarithms to write the following expression as one logarithm.

3 ln(x) + 2 ln(y) − 4 ln(x + 1)

Please show your work and explain, I would like to learn how to complete this type of problem!

Answers

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist

Answers

Answer:

you can have 35 tickets

Step-by-step explanation:

is this correct or not​

Answers

Answer:

yes it is u did a good job

Help me please!!!!!!!!

Answers

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?

(A) Keep the doctor away?
(B) Throw it hard enough to keep people away

DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS

Answers

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

She don't believe in shooting stars,
but she believe in shoes and cars​

Answers

Dun dub what a bop


Thanks

Answer:

This aint a question right?

but for some reason its funny

Step-by-step explanation:

hah my since of humor is broken i luaght at everything

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