Joseph has a collection of stickers. When the stickers are aranged in piles of 3, there are 2 stickers left over. When the stickers are aranged in piles of 4, there are 2 stickers left over. When the stickers are arranged in piles of 12, how many stickers are left over?

Answers

Answer 1

Answer:

2 stickers will be left over

Step-by-step explanation:

To answer the question, all you need to do is figure out at what value of stickers would the remaining stickers be equal to 2 if the piles are made up of either 3 to a set or 4 to a set. To do this, we need to figure out the size of the whole set of stickers.

Lets assume that the total number of stickers is 14. Lets test the 2 given conditions. If we divide it in piles of 3 then we will have a pile of 12 stickers (4 piles of 3 stickers each) with 2 stickers remaining.

Lets test the second condition. If we divide it in piles of 4, we will again have 12 stickers (3 piles of 4 stickers each) with 2 stickers remaining.

Now that both conditions have been satisfied, all we have to do is see how many stickers are left if we make a pile of 12 stickers. In this case, we will have just one pile of 12 stickers and, again, we will be left with 2 stickers.

Therefore, the answer is 2 stickers


Related Questions

4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?

Answers

it would be 15 I think : )

PLEASE HELP DUE IN 30 MINS!!!

Answers

Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

what is the square root of 31

Answers

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

Please help me with the questions please

Answers

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $

Answers

Answer:

100 + 4 = 104%

40/100 X 104 = 41.6

total cost: $41.60

sales tax: $1.60

Answer:

Tax: $1.6

Total cost: $41.6

Step-by-step explanation:

40*0.04 = 1.6, 40 + 1.6 = 41.6

Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?


X= -1/3

X= -3

X= 2

X= 3

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

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

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Hi. I need help with this question (see image). Please show workings.​

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?

Answers

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

Solve for n: 2n < 6
Math pls answer this

Answers

Answer:

n can be a number less than 3

Step-by-step explanation:

Hope this helps!

Answer:

N<3

Step-by-step explanation:

the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism

Answers

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.

We start by looking for common factors among the coefficients of the three terms:

45x³ + 198x² + 189x

= 9x (5x² + 22x + 21)

Now we can factor the quadratic expression inside the parentheses:

5x² + 22x + 21

= 5x² + 15x + 7x + 21

= 5x(x + 3) + 7(x + 3)

= (5x + 7) (x + 3)

The volume expression can be factored as:

45x³ + 198x² + 189x

= 9x (5x + 7) (x + 3)

Thus,

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?

Answers

Answer:

480

Step-by-step explanation:

12*4=48 then add a zero to the end of it

hope that helps!

happy new year!

Answer:

Lance has 480 comic books.

Step-by-step explanation:

Multiply 12 by 40:)

You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =

Answers

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)

Answers

Answer:

do you have 12 as an answer?

Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant​

Answers

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

what is the value of (f – 9)(144)?

Answers

Use distributive property

144(f-9)

144f- (144•9)

144f-1296

What is the slope of the line​

Answers

Answer:

Positive, Upward Slope.

Step-by-step explanation:

Answer:

the slope of a line shows how steep a straight line is, or the direction of a straight line

convert 17 kilometers to the nearest whole mile

Answers

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?

Answers

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

make
x
the subject of the formula
p
+
x
=
t

Answers

Answer:

x = t - p

Step-by-step explanation:

p + x = t

subtract p from both sides.

x = t - p

I NEED HELP PLEASE !!!!

Answers

Answer: de

Step-by-step explanation:

Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x

Answers

The answer is x(x-6) (x+4)

HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!

Answers

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP

Answers

Answer:

2 k 3 − 3 k 2 − 2 k

Step-by-step explanation:

Answer: ...

2k^3−3k^2−2k

What number is missing from the table of equivalent ratios?

A. 2
B. 5
C. 7
D. 13

Answers

almost positive its 5!! after each is divided by 2, the og number is in the y column and the divided by 2 number is in the x column!

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3​

Answers

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

i don’t know how to do this and it’s due in an hour someone help please

Answers

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4

Answers

Answer:

-4

Step-by-step explanation:

When we talk of the horizontal translation, we are dealing with a change in the x value

Initially we had x alone while we had x-4 in the second

What this mean is that there is a change of -4

Answer:

Step-by-step explanation:

i put -4 and wrong, pretty sure its 4

what is the answer to 5--4​

Answers

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

-324/18
Plz show all the steps of how you got the answer.

Answers

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

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