MATHEMATICS MIDDLE SCHOOL

What is the solution to this set of equations?x + y = 17
x - y = 5

You should give your answer as an ordered pair with no spaces, for example, (2,3)
I need help asap!

Answers

Answer 1
Answer:

Answer:

(11,6)

Step-by-step explanation:

{x + y = 17

{x - y = 5

2x = 22

x = 11

x - y = 5

11 - y = 5

- y = 5 - 11

y = 6

(11,6)


I hope I helped you.

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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.)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

M+4=-m+102x-2=x-4

5n-9=4n+2

5m-9=4m+2

-2x+3=-3x-1

7n+8=6n+4

m+3=-m-1

12m-5=11m-5

-3x+1=5x-7

5x-3=x-12

(I've been having trouble with these)

Answers

Question 1

M + 4  = -M + 10

First reorganize the terms on the left side

M + 4 = 10 - M

Take away 4 from both sides

M + 4 - 4 = 10 - M - 4
M = 10 - M - 4

Combine positive 10 and negative 4

M = 6 - M

Add M to both of the sides

M + M = 6 - M + M
M + M = 6
2M = 6

Divide both sides by 2

2M/2 = 6/2
M = 3

Question 2

2x - 2 = x - 4

Take away 1x from both sides of the equation

2x - 2 = x - 4
2x - 1x - 2 = x - 1x - 4
1x - 2 = -4
x - 2 = -4

Add 2 to both of the sides of the equation

x - 2 + 2 = -4 + 2
x = -2

Question 3

5n - 9 = 4n + 2

Add 9 to both sides of the equation

5n - 9 + 9 = 4n + 2 + 9
5n = 4n + 11

take away 4n from from both sides of the equation

5n - 4n = 4n - 4n + 11
5n - 4n = 11
1n = 11
n = 11

Question 4 has the same values for question 3, they just changed n to a m

5m - 9 = 4m + 2
m = 11

Question 5

-2x + 3 = -3x - 1

Add 3x to both sides of the equation

-2x + 3x + 3 =  -3x + 3x - 1
1x + 3 = -1
x + 3 = -1

Take away 3 from both sides of the equation

x + 3 - 3 = -1 - 3
x = -4

Question 6
7n + 8 = 6n + 4

Take away 6n from both sides of the equation

7n - 6n + 8 = 6n - 6n + 4
1n + 8 = 4
n + 8 = 4

Take away 8 from both sides of the equation

n + 8 - 8 = 4 - 8
n = -4

Question 7

m + 3 = -m - 1

Add 1m to both sides of the equation

m + 1m + 3 = -m + 1m - 1
2m + 3 = -1

Take away 3 from both sides of the equation

2m + 3 - 3 = -1 - 3
2m = -4

a composite figure is formed by combining a square and a triangle its total area is 32.5 ft2 the area of the triangle is 7.5 ft2 what is the length of each side of the square

Answers

The length of each side of the square is 5ft

Area of a composite function

Area of the composite figure = area of square + area of a triangle

Substitute the given information

32.5  = Area of square + 7.5

Area of square = 32.5 - 7.5

Area of squar = 25.0 ft^2

Since Area of square = L^2

L = 5ft

Hence the length of each side of the square is 5ft

Learn more on area of composite shapes here:  brainly.com/question/8408690

A sphere and cylinder have same radius and height the volume of cylinder is 27 which equation give volume of sphere

Answers

Answer:

The correct answer is A on Edge 2020.

Step-by-step explanation:

A sphere has 2/3 the volume of a cylinder given that the radius and height are equal. Because the volume of the cylinder is 27 pi (on Edge 2020), you need the equation: 2/3(27 pi) or A.

Answer:

the answer is A≈9160.88

Step-by-step explanation:

  1. A=4πr2=4·π·272≈9160.88418
  2. where as a = area

HURRY!! WILL MARK BRAINLIEST!! In which of the number line does the plotted point represent a number greater than -1^1/2?? check all that apply HURRY!!cash app you 15 bucks as well ​

Answers

Answer:

2, the second number line.

Step-by-step explanation:

-1 x 1/2 = -0.5

What is the absolute value of − 3/4?

Answers

Answer:

3/4

Step-by-step explanation:

because it is how far away it is from 0 on the other side

The absolute value is how far the number is away from 0 even the it’s -3/4 the absolute value is 3/4 since it’s 3/4 step away from 0
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