Solve the following equation: (y - 2) - (y + 1) = (y - 3) - 2

Answers

Answer 1
Answer: We can rewrite the equation without the brackets:
y - 2 - y - 1 = y - 3 - 2

Now let’s make both sides simpler:
-3 = y - 5

Let’s leave y on the right side and move 5 to the left:
-3 + 5 = y

So the result is:
y = 2
Answer 2
Answer:

Answer:

y = 2

Step-by-step explanation:


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"A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 5 inches and had a height of 12 inches prior to being cut. What is the volume of the resulting part illustrated in the figure?"-------------------------
I keep doing the math for it and get 359 cubed inches (rounded to the closest whole number) when including the pi, and 114*pi cubed inches when I exclude it. The answer choices are 60*pi cubed inches, 65*pi cubed inches, 85*pi cubed inches, and 90*pi cubed inches. Can someone go through the math of this?

Answers

Large cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Smaller cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches 

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. the value of x is ___, the value of y is ___.

Answers

Use the equation y = mx +c
y = 2/3x +c              Substitute the slope (m) in
5 = 2/3(-2) +c          Substitute the point (-2,5)
5 = -4/3 +c               Make C the subject
c = 19/3

y = 2/3x + 19/3        This is the equation of the line.

Next you start subbing the points A and B in separately, using the same equation.

Subbing A(x, 3)
3       = 2/3x + 19/3         Make x the subject to find it.
-10/3 = 2/3x
     -5 = x

The point A is (-5,3)

Subbing B(-2, y)
y = 2/3(-2) + 19/3           y is already the subject and you just solve it
   = -4/3 + 19/3
y = 5

The point B is (-2, 5)

I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<

Answer:

(x) = -5 (y) = 5

The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.A. 2.50p ≥ 135; p ≥ 337.5

B. 2.50p ≥ 135; p ≥ 54

C. 2.50p ≥ 135; p ≥ 132.5

D. 135p ≥ 2.50; p ≥ 54

Answers

Answer:

2.50p ≥ 135 , p ≥ 54.

Thus, option (B) is correct.

Step-by-step explanation:

Given: The French club is sponsoring a bake sale and their goal is to raise at least $135.

We have to find the number pastries they must sell at $2.50 each in order to meet the given  goal.

Let p be the number of pastries baker sales.

Then cost of p pastries at $2.50 each is 2.50p

and the  goal is to raise at least $135  (135 or more than 135)

Thus, inequality becomes,

2.50p ≥ 135

Solving inequality,

Divide both side by 2.50, we have,

(2.50p)/(2.50)\ge (1350)/(2.50)

Simplify, we have,

p ≥ 54.

Thus, option (B) is correct.

Answer:

B

Step-by-step explanation:

Gradpoint

Solve the inequalitiesg + 2 - 2 (g - 16) > 0

A. g > -30

B. g < -30

C. g > 34

D. g < 34

Answers

g + 2 - 2 (g - 16) > 0
g + 2 - 2g + 32 > 0
-g + 34 > 0
g < 34

Answer:

Your answer should be D. g < 34

Step-by-step explanation:

Simply use the order of operations.

g + 2 - 2 (g - 16) > 0\ng + 2 -2g + 32 > 0\ng-2g+2+32>0\n-g+34-34>0-34\n-g-1>-34/-1

Remember, when dealing with a negative in an inequality, your sign will flip/change the opposite direction.

g<34

In which quadrant is (1/2, -1.8)?Quadrant II
Quadrant IV
Quadrant III
Quadrant I

Answers

Answer:

Quadrant lV

Step-by-step explanation:

Quadrant l = (+,+)

Quadrant ll = (-,+)

Quadrant lll = (-,-)

Quadrant lV = (+,-)

This is how you can always remember, hope this helps!

What is the value of x in the solution to the following system of equations? x − y = −3
x + 3y = 5

Answers

Solve and the solution would be (-1, 2)

x value = -1