Kate is organizing 585 video games into shipping boxes. Not all of the customers are ordering the same amount of videos, so not all of the boxes are going to be the same size. What are Kates options for the number of video games that can be put in each shipping box?

Answers

Answer 1

Answer:

1. So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2. Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3. Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.

Step-by-step explanation:

The prime factorization of 585 = 3² × 5 × 13.

So, the number of video games Kate can put in each shipping box are the different combinations of the prime factors. So, they are

1. 3² × 5 × 13 = 45 × 13 or 13 × 45.

So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2.  3² × 5 × 13 =  3² × 13 × 5 = 117 × 5 or 5 × 117

So, Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3.  3² × 5 × 13 =  3² × 13 × 5 = 9 × 65 or 65 × 9

So, Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.


Related Questions

Simplify 4(2x-3) 7th grade math

Answers

Answer:

8x-12

Step-by-step explanation:

Answer:

8x-12

Step-by-step explanation:

[tex]4(2x-3)[/tex]

Expand

[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]

Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2

I NEED IT URGENtLY

Answers

Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Plzzz help its due by 12

Answers

Answer:

THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING

Step-by-step explanation:

Answer:

me think me made girl mad on brainly

Step-by-step explanation:

Write each fraction in simplest form.

12 over 48

6 over 15

Answers

Answer:

#1 is 1/4 #2 is 2/5

Step-by-step explanation:

they were able to be divided by a certain number that they were all equal to

Answer:

12/48=1/4 and 6/15=2/5

solve 4 x 9.4 using distributive property. show your work

Answers

so it basically 36.16

Step-by-step explanation:

4x9=36

4x4=16

36.16

please help asap!!!! i’ll mark brainlest

Answers

Answer:

C. 40 kilograms

Step-by-step explanation:

Approximate 120 square root to the nearest hundredth.

Answers

Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

If you can’t see it , it says ... Bella Amman is a sales consultant. She travels all over the country selling her company’s products. Her total monthly expenses for June , July, and August were $4,356.01 , $9,011.20 , and $8,780.00 . What was her average monthly expenditure?
A. $7,382.40
B. $6,565.00
C. $8,090.25
D. $22,147.21

Answers

Answer:

A.) $7832.40

Step-by-step explanation:

9,011.20+8,780.00+4,356.01

=22,147.21/3

=7382.40

can someone help asap!!:)

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Answers

9514 1404 393

Answer:

  5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

  2·5 + 3·15 = 10 +45 = 55

12y=5x-15
4.2y+6.1x=11
Round to the nearest hundredth.
X=
Y=

Answers

Answer:

-15 and 11

Step-by-step explanation:

A line had a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line?
A y=-2/3x+6
B y=-2/3x+8
C y=6x-2/3
D y=8c-2/3
PLS HURRY IM TIMED ON THIS ​

Answers

Answer:

I think B, but not sure.......

Step-by-step explanation:

The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p

Answers

Answer:

the correct option id D.

h = 4.2 − p

h = 2p

The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The hardcover version of a book weighs twice as much as its paperback version.

And, The hardcover book and the paperback together weigh 4.2 pounds.

Now,

Let the hardcover book weight = h

And, the paperback together weigh = p

Hence. We get;

h + p = 4.2

h = 4.2 - p

And, The hardcover version of a book weighs twice as much as its paperback version.

Hence, We get;

⇒ h = 2p

Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

There are 4 tablespoons in 1/4 cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?

Answers

Answer:

i think the answer is 32

Answer:

32 tablespoons

Step-by-step explanation:

A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?

Answers

Answer:

You did not give any options

Step-by-step explanation:

But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.

All but the first answer choice could be the length and width of a rectangle.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangle has an area of 20 square centimeters.

WE know that The area of the rectangle = length × Width

3 cm and 8 cm = 24 cm^2

This cannot be area of the given reactangle.  

1 cm and 20 cm = 20 cm^2.  

This is the area of the given reactangle.  

2 cm and 10 cm => 20 cm^2

This is the area of the given reactangle.  

4 cm and 5 cm  => 20 cm^2.  

This is the area of the given reactangle.  

All but the first answer choice could be the length and width of a rectangle.

The complete question is

Which of the following could be the rectangle’s length and width?

1. 3 cm and 8 cm = 24 cm^2

2. 1 cm and 20 cm = 20 cm^2.  

3. 2 cm and 10 cm => 20 cm^2

4. 4 cm and 5 cm  => 20 cm^2.  

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Question 6(Multiple Choice Worth 4 points)
(03.04 LC)
When the function f(x) = 4(2)* is changed to f(x) = 4(2)* - 13. what is the effect?
O There is no change to the graph because the exponential portion of the function remains the same
O The x-intercept is 13 spaces higher.
© The y-intercept is 13 spaces lower.
O All input values are moved 13 spaces to the left

Answers

Answer:

C, the plus or minus at the end of a function stands for the point on the y axis going up or down 13.

Step-by-step explanation:

Brainlyest pls I need 1 more to level up

It would be 13 spaces lower because f(x) always equals y and -13 means you are going down 13 units.

Plz mark me brainliest

Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C

Answers

Answer:

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

y-(-2)=3(x-2)

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

What is slope of perpendicular lines?

Lines that are perpendicular lines have slopes that are negative reciprocals.

It is given that the points,

[tex]$A=\left( -5,2 \right)$[/tex]

[tex]$B=\left( 7,-2 \right)$[/tex]

[tex]$C=\left( -2,5 \right)$[/tex]

[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.

So,

By the definition, the slope or gradient of a line describes its steepness, incline, or grade.

[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].

Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.

So,

Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]

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

So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].

so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].

[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,

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

Here,

[tex]y=5[/tex]

[tex]x=-\frac{1}{3}[/tex]

We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.

So,

[tex]$5=-\frac{1}{3}\left( -2 \right)+b$[/tex]

[tex]$5=\frac{2}{3}+b$[/tex]

Subtract [tex]\frac{2}{3}[/tex] both side.

So,

[tex]$b=\frac{13}{3}$[/tex]

So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,

[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Hence,

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Learn more about gradient of a line perpendicular to line here,

https://brainly.com/question/23614238

#SPJ2

Solve each system by graphing or using a table. Check your answers.
2x+y=−1
−x−2y=−4

Answers

Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

The second one: y = 1/2x + 2

And if the second one is wrong, then it's y = x + 2.

An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?

Answers

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

explanation if wanted

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!!!
Find the equation of the line between ( -8, 2) and ( -4, 1)

Answers

Answer:

point slope form---> y-2=1/4(x- -8)

slope intercept form---> y=1/4x+4

Step-by-step explanation:

i didnt know which equation you were asking for

Which number rounds to 65.8 when rounded to the nearest tenth?
65.08
65.74
65.82
65.86

Answers

65.82 is the right answer ☺️

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

(–4, 2)
(–2, 4)
(2, 4)
(4, –2)

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

A number raised to the third power. What is this called???

Answers

Answer:

Cubed

Step-by-step explanation:

You can think of it as the volume of a cube where the volume is x to the third power ([tex]x^{3}[/tex], let x = side of the cube) to help you remember. This also goes the same for x to the second power (squared) where it can represent the area of a square which is x².

Hope this helps :)

I dont need the work, just the answers :)

Answers

Distance: sq (-3-(-9))^2 + (-1-8)^2
The answer is square root 117

Amy runs a bakery. She makes a different amount of cake mix each day. She varies the amount of sugar based on the amount of the flour

Answers

Answer:

2

Step-by-step explanation:

Write in expanded form.​

Answers

Answer:

a²*b² /c*d

Step-by-step explanation:

3b - 13 + 4b = 7b + 1

Answers

Answer:

There is no solution

Step-by-step explanation:

3.8:(4c+3)=2: 2 2/19
what is c
will give brainiest pls help quick

Answers

Answer:

the answer will be be 0.25 for decimal but for a fraction it would be 1/4

Answer:

0.25 is the answer :D

At Stop n Shop they are selling fried chicken for $1.95 a pound. If Amiyah buys 13.2 pounds how much will she spend?

Answers

Answer:

Step-by-step explanation:

Price of one pound = 1.95

Price of 13.2 pounds = 13.2 x 1.95 = 25.74


Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.

Answers

Answer:

-34

Step-by-step explanation:

7x + 8

7(-6)+8

-42+8

-34

Have a beautiful day!   v(⌒o⌒)v

f(x)=7x+8; x=-6
f(-6)=7(-6)+8
f(-6)=-34

Reduce all answers to their
lowest terms.
4 x 5/7

Answers

Answer:

2 6/7

Step-by-step explanation:

Other Questions
Which group of explorers left their homeland due to religious wars and brought Lutheran Christianity to North America? For each pair of covalently bonded atoms, choose the one expected to have the shortest bond length.(A) C-C(B) C?C...... (A,B)(C) C?O(D) C-O...... (C,D)bondlengthtitle.gifThe length of a covalent bond depends upon the size of the atoms and the bond order.For each pair of covalently bonded atoms, choose the one expected to have the shortest bond length.(A) P-Cl(B) Si-Cl...... (A,B)(C) P-I(D) H-I...... (C,D)bondlengthtitle.gifThe length of a covalent bond depends upon the size of the atoms and the bond order.For each pair of covalently bonded atoms, choose the one expected to have the shortest bond length.(A) Cl-I(B) I-I...... (A,B)(C) P-Br(D) P-Cl...... (C,D) plz answer........................................................... why is passage cell located close to protoxylem? Read the paragraph below and determine the main idea.There are several events that can change the earth's surface very quickly. Volcanoes can erupt and spread lava, rock, and ash for several miles. Earthquakes can leave large cracks in the earth's surface. Tsunamis create huge tidal waves and flood the surrounding areas. HURRY PLEASE I NEED TO TURN THIS IN TODAY!!I WILL GIVE YOU BRAINLIEST! What is2 tan(10)/1-tan?(10)expressed as a single trigonometric ratio?tan(209)tan(5)tan(59)tan(209) Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,000, has a four-year life, and requires $85,000 in pretax annual operating costs. System B costs $360,000, has a six-year life, and requires $79,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 23 percent and the discount rate is 10 percent. Two different buses start their routes at the same corner at 9 A.M. Buses from one route stop at the library every 9 minutes. Buses from the other route stop at the library every 12 minutes. In what number of minutes will both buses end up at the library? PromptWrite an argument for or against the idea of using controlled fires to protect wild areas. If BCDE is congruent to OPOR , then De is congruent to What was the Silk Road? a series of roads that were covered in silk imported from China a four-thousand-mile canal used from 1300 BCE to 1453 CE a single ancient trade road that connected China and Japan a series of ancient trade routes that connected China with Europe and East Africa What are 2 ways buddhism is different from hinduism? Ms. Marx told Alyssa about the promising essay contest, and she was excited at the prospect ? What is the length of side s of the square shown below? A. 2 B. 42 C. 1 D. 4. E. 82F. 8 Which two statements describe processes most likely to be involved in theformation of sedimentary rock?I A. Rivers flow across many miles into a body of water.OB. A volcano erupts near a coastline.OC. Tectonic plates push on each other underground.O D. Windstorms blow regularly near rocky cliffs. Read the example.If you want to know how Dickenss last novel would end.What common error in sentence construction is evident in this example?comma splicerun-on sentencesentence fragmentmissing conjunction Jen wrapped a gift that was six inches wide and ten inches tall. The volume of the box was 120 inches. What was the length of the box? 9. Kiley_____gymnastics for many years. She often wins at events.A performsB performedC has performed elementry math lesson 3.11 5th grade page 70