Mrs. Larson, the science teacher, collected 18 sedimentary rocks and 12 metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create?

Answers

Answer 1

Answer:

The greatest number of kits she can create is 6 kits

Step-by-step explanation:

We can solve the above question using the greatest common factor method.

We have to find the factors of 18 and 12

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Therefore, greatest number of kits that she can create is 6 kits

The number of sedimentary rocks in each kit

18 sedimentary rocks /6 kits = 3 sedimentary rocks

The number of Metamorphic rocks in each kit =

12 metamorphic ones/ 6 kits = 2 metamorphic rocks


Related Questions

help me pleaseee pleaseee

Answers

Answer:

x=3

PAW = 40

Step-by-step explanation:

-11x+173-x+43=180

-12x+ 216 = 180

12x = 36

9,18,36,... Find the 6th term.

Answers

Answer:

576

Step-by-step explanation:

9, 18, 36, 72, 144, 288
288

I need help pls because I am confused.

Answers

Answer:

1/8

Step-by-step explanation:

The answer before you simplyify will be 24/4. that = 6

find the holes
[tex]f(x)=\frac{x+3}{(x+1)(x-2)}[/tex]

Answers

Answer:

          x=-1 and x=2

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:

Answers

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.

Answers

Answer:

the answer is D. dense means heavier, basically

Answer:

its D dense

Step-by-step explanation:

because dense means more inside

When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7

Answers

Answer: n(7)+3=10
Explanation: 7+3 equals 10

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

[tex]n + 3[/tex]

[tex]7 + 3[/tex]

[tex]10[/tex]

hence, the given expression is equal to 10, when n = 7

how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!

Answers

Answer:

144

Step-by-step explanation:

12 inches by 12 inches is 144. quick mafs

Answer:

144

Step-by-step explanation:

Determine whether the following graph represents a function.

A. Function
B. Not a function

Answers

Answer:

B. not a function

Step-by-step explanation:

A function is a set of data in which no x values repeat, but where y values may or may not repeat.

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​3​ years?

Answers

Answer:

$329.18

Step-by-step explanation:

315 + 14.18 = $329.18

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

If tan 0 = 8/15, what is sin 0?

Answers

sin theta = 8/17

hope this helps

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Answers

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?

Answers

Answer:

no sé eres tú

Step-by-step explanation:

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.

Answers

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Explain why the following problem will have an
irrational answer.
√5 x 7.14

Answers

Answer:The product is a non-repeating non terminating decimal. Think it is.

Step-by-step explanation:

Answer:

It is a non repeating non terminating decimal.

Step-by-step explanation:

14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.

Answers

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

Please help this is a major gradeeeeee

Answers

Answer:

45

Step-by-step explanation:

I think it’s
45 hopefully it’s right let me know!

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

help will mark brainliest plz plz plz

Answers

hope it will help you..............

Answer:

4.3

Step-by-step explanation:

subtract CD from CZ to find DZ

this is the same thing as CZ - CD = DZ

substitute in our values: 6.7 - 2.4 = DZ

you get DZ = 4.3

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

solve for x and y and explain

Answers

Answer: x=9 and y=9

Step-by-step explanation: Y is in the same spot as x! Good luck! :D

Decrease £313 by 62%
Give your answer rounded to 2 DP.

Answers

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

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