MATHEMATICS MIDDLE SCHOOL

My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much gas a reaction would produce. She did a series of seven experiments and measured the amount of carbon dioxide released by each one. Baking soda (spoons) Calcium chloride (spoons) Carbon dioxide (milliliters) 1 1 800 1 2 1600 1 3 1600 2 1 800 2 2 1600 2 3 2400 3 1 800 Based on my cousin’s experimental results,answer these questions. 1. How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride? 2. How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride? 3. My cousin wanted to produce exactly 2000 mL of carbon dioxide. How much baking soda and calcium chloride should she use?

Answers

Answer 1

Answer:

1.)2240

2.)1173.33334

3) soda = 3, calcium chloride = 2.625

Step-by-step explanation:

Baking soda (spoons)

1 - 1 - 1 - 2 - 2 -2 - 3

Calcium chloride (spoons)

1 - 2 - 3 - 1 - 2 - 3 - 1

Carbon dioxide (milliliters)

800 - 1600 - 1600 - 800 - 1600 - 2400 - 800

Modeling the above using a multiple regression technique:

ŷ = ax1 + bx2 + c

Where ŷ is the predicted value

x1 and x2 are the first and second predictor variable.

ŷ = 106.66667X1 + 640X2 - 0

1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?

ŷ = 106.66667(3)+ 640(3) - 0

320.00001 + 1920 - 0 = 2240

2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?

ŷ = 106.66667(2)+ 640(1.5) - 0

213.33334 + 960 + 0 = 1173.33334

C.) To produce 2000mL of gas

It could be achieves a a number of ways

ŷ = 106.66667X1 + 640X2 - 0

For instance if she opts to use 3 spoons of soda

2000 = 106.66667(3) + 640x2

2000 = 320.00001 + 640x2

2000 - 320 = 640x2

x2 = 1680/640

x2 = 2.625 spoons

Related Questions

How does this model demonstrate the Pythagorean Theorem?Three squares whose corners touch so that the respective edges form a triangle. The smallest square has a side labeled six and is made up of thirty-six smaller squares. The largest square has a side labeled ten and is made up of one hundred smaller squares. The third square has a side labeled eight and is made up of sixty-four smaller squares. A. The sum of the lengths of the shortest and the longest sides is equal to twice the length of the middle side. So double the length of the longer leg of any right triangle is equal to the sum of the shorter leg and the hypotenuse. B. The sum of the area of the two smaller squares is equal to the area of the larger square. So the sum of the lengths of the two legs of any right triangle squared is equal to the length of the hypotenuse squared. C. The sum of the area of the smallest and the largest squares is equal to the area of the middle square. So the sum of the lengths of the shorter leg and the hypotenuse of any right triangle squared is equal to the length of the middle leg squared. D. The length of the longest side minus two equals the length of the middle side. The length of the middle side minus two equals the length of the shortest side. So the length of the short leg of any right triangle is equal to the length of the middle leg minus 2, and the length of the hypotenuse is equal to the length of the middle leg plus 2.
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PLS HELP! What are the solutions of 4x^2-8x+5=0

What is the result when the number 50 is increased by 10%

Answers

I believe you multiply 50 by .10 which equals 5 then add it to 50 which is 55
if this is wrong let me know

The math worksheet.Thankyou.

Answers

Ok... I'm not going to give you answers but I'll help you.
Examples:

Example 1:
2-4(3x+5) --- distribute the -4 to the 3x+5 to get...
2-12x-45 ---- do 2-45
-43-12x
and that's your answer since you can't combine the -43 with the -12x cuz, the -43 does have a variable.

Example 2:
5y+4-2y ---- so simplify first. 5y-2y. to get...
3y+4
and that the answer

cuz you can't combine a number with a variable(letter. y, x, etc.) with one that doesn't.

I hope this helps. This is easy. Trust me. if you still don't get it. Just comment. Hope this helps! :)

vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles?

Answers

Answer:

6 hours

Step-by-step explanation:

200mph

1200 miles

200X=1200

X=6

PLEASE HELP! A store sells small notebooks for $8 and large notebooks for $10. If a student buys 6 notebooks and spends $54, how many of each size did he buy?

Answers

let small notebook = s, large notebook = b

Set the system of equations:

54 = 8s + 10b

s + b = 6

First, solve for b. Isolate the s.

s = 6 - b

Plug in 6 - b for s

54 = 8(6 - b) + 10b

Distribute 8 to all terms within the parenthesis

54 = 48 - 8b + 10b

Simplify

54 = 48 + 2b

Isolate the b. Note the equal sign. What you do to one side, you do to the other. Subtract 48 from both sides

54 (-48) = 48 (-48) + 2b

6 = 2b

Divide

6/2 = 2b/2

b = 6/2

b = 3

----------------------------------------------------------------------------------------------------------------

Plug in b for 3 in one of the equations.

s + b = 6

s + 3 = 6

Isolate the s. Subtract 3 from both sides

s + 3 (-3) = 6 (-3)

s = 6 - 3

s = 3

------------------------------------------------------------------------------------------------------------------

small notebook = 3, large notebook = 3

------------------------------------------------------------------------------------------------------------------

hope this helps

Hi AlexBombela10,

Your Question:

A store sells small notebooks for $8 and large notebooks for $10. If a student buys 6 notebooks and spends $54, how many of each size did he buy?

Solution:

54 - 8 = 46

46 - 8 = 38

38 - 8 = 30

30 - 10 = 20

20 - 10 = 10

10 - 10 = 0

Final Answer:

He bought 3 small notebooks

He bough 3 large notebooks

Hope This Helps!

What is the number 4,305,012 in expanded form

Answers

4,000,000+300,000+5,000+10+2 is 4,305?012 in expanded form.

What is 60 divided by 100 and why? ( I got 0.6 but I'm not sure ) plz hurry

Answers

The answer is 0.6 because you divided 60 and 100 but there not even so your supposed to get a decimal

Your answer is right because when you divide something you are always dividing it out of 100. So this question is pretty easy, 60 / 100 = 0.6 or 3/5 or 6/10. Hope that helps you!

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