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

The school has 330 students in 11 classrooms. What is the unit rate of
students per classroom? Explain how you got your answer.

Answers

This is a fraction equal to
330 Students ÷ 11 Classrooms

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 11

330 Students ÷ 11
11 Classrooms ÷ 11
=
30 Students
1 Classroom
=
30 Students
Classroom
= 30 Students per Classroom

The answer is 11. Hope this helps

The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?

Answers

Answer:

2

Step-by-step explanation:

when x=2, both lines have a y of -4

I don’t get this at all please help!!

Answers

Answer:

I can't this type of mathematics

Answer:

29) x = 12

30) x = 6

31) x = -4

32) x = 5

Not sure if the degree symbol is needed for the answer.

Step-by-step explanation:

Apply angle sum of triangles to all 4 questions.

29) (3x + 4) + 50 + 90 = 180 i.e. x = 12

30) (8x + 7) + 35 + 90 = 180 i.e. x = 6

31) 64 + 65 + (x + 55) = 180 i.e. x = -4

32) 70 + 35 + (14x + 5) = 180 i.e. x = 5

Plsss help I don't know how to graph I will give brainiest!Plsss help I don't know how to graph I will give brainiest!

Answers

Select your 2 points

b) Prove that
Tan 47°\cot 43°= 1​

Answers

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?

Answers

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

Pleaseee help mee I will appreciate it

Answers

Answer:

Read explanation!

Step-by-step explanation:

A = $0.89

B = $0.92

C = $0.94

1. What is the slope of a line that is perpendicular to the x-axis ​

Answers

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

We also know a line that is perpendicular to the x-axis ​is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

Why would the end point for the function be (0,0)

Answers

Answer:

Yes, you are correct. It is (0,0)

Step-by-step explanation:

The lower left side of the curve hits the axis at 0,0 so you are correct. Try it

S = 365√x

Let x = 0

The square root of x when x = 0 is 0.

So S = 365√0

S = 0

Some help please
Thank you

Answers

Answer:

Step-by-step explanation:

Using pythagoras theorem

AB²+BD²=AD²

5²+BD²=10²

25+BD²=100

BD²=100-25

BD²=75

BD=√75

BD=8.66

For triangle BDC,

Using pythagoras theorem

x²=DC²+BD²

x²=4²+75

x²= 16+75

x²=91

x=9.54

The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 ​minutes?

Answers

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

7x-3x=
what is x =
x=

Answers

Answer:

4x

Step-by-step explanation:

Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1

Answers

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

5(14 – 39 ÷ 3) + 4 •

Answers

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Use the information in the problem to write an equation. Then use the equation machine to help you solve it.

8 years ago Marcus was 12 years old. How old is he now?

Marcus is _______ years old.

Answers

Answer:

he's 20 now

Step-by-step explanation:

add 12 and 8

The present age of Marcus will be 8 years now.

What is an expression?

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Marcus was 12 years old eight years ago. Marcus' age as of right now will be determined as follows:

x - 8 = 12

x = 12 + 8

x = 20 years

Therefore, the present age of Marcus will be 8 years now.

To know more about an expression follow

https://brainly.com/question/28532762

#SPJ6

Q.2*
Simplify
(2a2 – 4a – 8)(a + 1)-1
A. 2a - 6
2
a+1
B. 2a2 - 6a - 2
2
C. 2a + 6+
a+1

Answers

i think the B is the answer

Jade has $60. She wants to buy some movies that cost $11 each. Jade wants to have at least $20 remaining.



Which of the following inequalities correctly represents the scenario?

Answers

Answer:

60-11x < 20

Step-by-step explanation:

Let's first set out all the information we know.

Jade has only $60, so we cannot go above the amount she has.Each movie costs $11She wants at LEAST $20 remaining  

So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.

The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.

What we have so far is:

60-11x

Because this is an inequality, we will have a less than sign.

After that, we can conclude that $20 will come next because that is at the end of the problem.

So, the answer is:

60-11x < 20

what is y=8.5x contasnt of proportionality

Answers


The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying

The average rate of change for the function below is f(x)=x2−6x+8 when x2=1 and x1=3

Answers

Answer:

ye

Step-by-step explanation:

sorry!

Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.

Answers

Answer:

6 days

Step-by-step explanation:

Given

The proportion can be represented as:

[tex]p = 55\%[/tex]

And the number of days can be represented as:

[tex]n = 10[/tex]

Required

Determine the expected number of times, the light is red

To do this, we simply multiply the proportion by the number of days:

[tex]Y = n * p[/tex]

Substitute values for n and p

[tex]Y = 10 * 55\%[/tex]

Convert percentage to decimal

[tex]Y = 10 * 0.55[/tex]

[tex]Y = 5.5[/tex]

Approximate

[tex]Y = 6[/tex]

Hence, the expected number of days is 6 days

13x + 2 = 41
List the steps to fom 13x + 2

Answers

Answer: 13x + 2 = 41 = 3

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

13x+2−2=41−2

13x=39

Step 2: Divide both sides by 13.

13x

13

=

39

13

x=3

2^46 is how many times as many as 2^42?

Answers

Answer:

16 times as many

Step-by-step explanation:

2^46 = 70368744177664   2^42 = 4398046511104 70368744177664/4398046511104 = 16

Which expression is a factor of both x^2-9 and x^2+8x+15

Answers

Step-by-step explanation:

x^2-9=0x^2+8x+15=0

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

x=-5 in x^2-9=0

(-5)^2-9=0

10-9=0

1=0

x=-3 in x^2-9=0

(-3)^2-9=0

9-9=0

0=0

an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be

Answers

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)

Answers

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

What is the equation of the line that passes through the point (4,-3)(and has a slope of 11?

Answers

Answer: -3 = 11(4) + b

Step-by-step explanation: y = mx + b, -3 is the y, 11 is the slope (m), 4 is the x, b is the y-intercept which is unknown unless you solve for it.

While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?

Answers

Answer:

$88.9

Step-by-step explanation:

First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:

Total cost=(29*2)+(16*3)+21

Total cost=58+48+21

Total cost=127

Now, you have to calculate 30% of that total and subtract that amount from the total cost:

127*30%=$38.1

127-38.1=$88.9

According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.

the question is in the picture

Answers

Answer: 140

Step-by-step explanation: since 4 = 40 then 2 would also be 40 because they are the same angle (Keep in mind that a line is 180 degrees) 180-40=140! Good luck! :D

Sally opens a bank account with $450. If she
earns 4% simple interest per year, how much
interest will she earn in 5 years if she doesn't add
or withdraw any money during that time? Please
type the steps that you use to solve this problem
below.

Answers

Answer: 540

Step-by-step explanation:

450 × .04 = 18

18 × 5 = 90

90 + 450 = *540*

PLS HELP NEW THIS QUICK!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]3\frac{1}{5} \times 2\frac{1}{5}[/tex]

Lets convert it into improper fraction.

[tex]\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}[/tex]

Lets convert [tex]\frac{176}{25}[/tex] into a mixed fraction.

[tex]=> \frac{176}{25} = 7\frac{1}{25} = 7.04[/tex]

Rounding off 7.04 gives 7 and rounding 7 further gives 10.

So , the estimate of the product is 10

I think the answer is C
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