MATHEMATICS MIDDLE SCHOOL

Find the area of the trapezoid.
Find the area of the trapezoid. - 1

Answers

Answer 1
Answer:

The answer is 75.

Hope this helps!
Answer 2
Answer:

75

15×6÷2+10×6÷2

90÷2+60÷2

45+30

75

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the cafeteria made 250 cookies.each student can buy 2 for $1. how many cookies did the cafeteria sell if the cafeteria sold $80 worth. what if you sell all 250 cookies?

Answers

Answer: If the cafeteria sold 80 dollars worth of cookies at 2 for a $1 that would be 40 cookies. If they sold all of the cookies at 50 cents each that equals out to $125.



Step-by-step explanation:

PV=nRT , for V how do I figure this out?

Answers

Divide each side of the equation by 'P'.

1. The velocity "v" in feet per second of a freely falling object that has fallen h feet can be represented by v = 8h^1/2. Find the distance that an object has fallen if its velocity is 96 feet per second.2. The relationship of the current, the power, and the resistance in an appliance can be modeled by IR^1/2 = √P, where I is the current in amperes, P is the power in watts, and R is the resistance in ohms. Find the power that an appliance is using if the current is 2.5 amps and the resistance is 16 ohms.

In your answer, please explain and show your work to the best of your ability. I want to know how you got your answer. It will help me a lot! :)

Note: These questions are from 7-3 Practice: Rational Exponents from Glencoe Algebra 1.

Good luck! :)

Answers

We isolate the variables that we wish the values determined in the given problems above.

(1) To solve for h, we manipulate the variable such that it becomes,
                                h = √(v / 8)
Substituting the given,
                                h = √ (96 / 8) = √12 ft

(2) To solve for P in this problem, we raise both sides of the equation to exponent 2,
                                P = I²R
Substituting,
                                P = (2.5 amps)² x (16 ohms)
                                P = 100 watts

Final answer:

To find the distance fallen, substitute the given velocity into the equation and solve for h. To find the power being used, substitute the given current and resistance into the equation and solve for P.

Explanation:

1. To find the distance that an object has fallen if its velocity is 96 feet per second, we need to use the given equation v = 8h^(1/2). We'll substitute 96 for v in the equation and solve for h:

96 = 8h^(1/2)

To isolate h, we'll divide both sides of the equation by 8:

12 = h^(1/2)

To get rid of the exponent, we'll square both sides of the equation:

144 = h

Therefore, the object has fallen a distance of 144 feet.

2. The equation IR^(1/2) = √P represents the relationship between current (I), power (P), and resistance (R). We're given that I = 2.5 amps and R = 16 ohms. We'll substitute these values into the equation and solve for P:

(2.5)(16)^(1/2) = √P

(2.5)(4) = √P

10 = √P

To isolate P, we'll square both sides of the equation:

100 = P

Therefore, the appliance is using 100 watts of power.

Learn more about Rational Exponents here:

brainly.com/question/29159487

#SPJ11

Please help with some probelms! Check some too the questions that has a blue dot are the answers please check that please!

Answers

I have an answer for the last image.. The first step to finding the y-coordinate of the vertex of the equation y= -2x^2+2x-3 given that the x-coordinate of the vertex is 1/2 is the last option: -2(1/2)^2+2(1/2)-3.. The variable x represents the x-coordinate which means that all you have to do to start is plug in the vertex they gave you: 1/2

What is the name of this shape

Answers

Parallelogram I believe
A rectangle....unless it isn't a photo taken from a weird angle....but thats a rectangle.

Which equation does the graph below represent?
y=1/3+x
y=1/3x
y=3+x
y=3x

Answers

Lets find 2 points, one obvious one is (0,0), another point is (12,4)

Slope = (4-0)/(12-0) =(4)/(12) = (4* 1)/(4* 3) = (1)/(3)

y = mx + b

m is the slope

we got m = 1/3

We can eliminate answer choices C and D.

y = 1/3x + b

we need to solve for b

Plug in the point (0,0) and solve for b

0 = 1/3(0) + b

0 = 0 + b

b = 0

The equation of the line is y = 1/3x + 0, or y = 1/3x

Your answer is B.
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