The surface area of a cube is 96 square feet. Find the volume of the cube.

Answers

Answer 1
Answer: cube has six identical walls

96ft
² : 6 = 6 ft²  - one wall surface

pattern on the surface of the cube
A = a²
a - the edge of the cube

A = a
²    ⇔ a=√A
                  a = √(16ft)² = 4ft
V = volume
V = a³
V = (4ft)³ = 64 ft³



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What is 7 multiplied by 230
YOUR ASSIGNMENT: Factory Lighting ProblemIn this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher. You are deciding whether to light a new factory using bulb A, bulb B, or bulb C. Which bulb would be better to use on the factory floor? Which bulb would be better to use in the break room? To answer these questions, you will compare the energy usage of the three bulbs. The amount of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of energy needed to provide 1000 watts of power for 1 hour. 1. Circle the two bulbs you picked. incandescent Halogen Fluorescent 2. 3. Practice: Summarizing (3 points) Fill in the blanks. The energy usage of a light bulb is a function. The input for the function is _________, measured in hours. The output of the function is energy usage, measured in ____________. Identify the functional relationship between the variables. _________________ is a function of _________________. The graph of the function will show energy usage on the _____________ axis and time on the _______________ axis. 4. Practice: Organizing Information (2 points) Use the data given to complete the table for your first bulb. DATA TABLE A Time (hours) x Energy (kWh) y Point (time, energy) (x, y) 3 10 5. Practice: Organizing Information (2 points) Use the data given to complete the table for your second bulb. DATA TABLE B Time (hours)x Energy (kWh)y Point (time, energy)(x, y) 3 10 6. Practice: Organizing Information (5 points: 1 point for labels, 2 points for each graph) Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from Table A on the graph. Connect the points with a line. On the same graph, plot the points from Table B and connect them with a line. 7. Practice: Summarizing (1 point) Classify each of your graphs as increasing, decreasing, or constant. First bulb: ___________________ Second bulb:___________________ 8. Practice: Summarizing (2 points) Fill in the blanks. First bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______. Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______. 9. Practice: Summarizing (1 point) The workers leave the lights on in the break room for stretches of about 3 hours. Which light bulb would light this room using the least amount of energy? 10. Practice: Summarizing (1 point) The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light bulb would light this room with the least amount of energy?
Confused, please help. “Use the figure below to approximate the value
The graph of a proportional relationship passes through (12, 16) and (1, y). Find Y.

One number is 1 more than 2 times another. Their product is 10. Find the numbers.

Answers

whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring. 

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2

Three times the sum of a number n and 5 is at least 17.

Answers

3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

What is an Inequality?

The relationship between two expressions or values that are not equal to each other is called inequality.

Given that three times, the sum of a number n and 5 is at least 17.

According to the question, the expression will be = 3(n+5)≥17

Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

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Answer:

3(n+5)≥17

Step-by-step explanation:

Leanna guesses on four multiple choice test questions in a row. If each question has 3 possible answers, what is the probability that Leanna will guess the answer to the 4th question correctly? A. 1/81 B. 1/12 C. 1/3

Answers

the previous question don't change the probability of the next questions, so the information that it is the 4th question is not relevant.

It's only relevant that there are 3 possible answers, so the probability of getting the right one is 1/3 (C.).

Answer:

1\3

Step-by-step explanation:

1\3 is the answer....

Solve for the variable in 7 ∕28 = 25∕ x A. 20 B. 100 C. 4 D. 5

Answers

The solution to the equation 7/28 = 25/x is x = 100.

What is the solution to the equation?

Given the equation in the question:

7/28 = 25/x

To solve for the variable x in the equation 7/28 = 25/x, first, we cross multiply.

7/28 = 25/x

Cross-multiplying, i.e multiplying the numerator of the first fraction with the denominator of the second fraction and vice versa:

Hence:

7 × x = 28 × 25

7x = 700

Now, isolate x by dividing both sides by 7:

7x/7 = 700/7

x = 700/7

x = 100

Therefore, x has a value of 100.

Option B) 100 is the correct answer.

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(7)/(28)=25 over x 

OK what can go in to 25? 

5

25/5=5/25/7/28/x=5
X= 5

Which of the following is the graph of 2x + 3y = 6?

Answers

Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.

Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.

Answer:

Option (c) is correct.

Step-by-step explanation:

 Given : Equation of line 2x + 3y = 6

We have to graph the given equation

Consider the given equation of line 2x + 3y = 6

We first find the points for different values of x and y

And then plot these points.

1) Put x = 0

We get ,

3y = 6

y = 2

2) Put y = 0

We get,

2x = 6

x = 3

Thus, we get the points (0, 2) and (3,0)

Now plot these to obtain a line, we get, see attchment

Option (c) is correct.

If angle A has a measurement of 42° and is complementary to angle B, what's the measure of angle B? A. 48°
B. 42°
C. 38°
D. 138°

Answers

The answer to the question is A. 48 degrees. In a complimentary angle, both of the angles have to add up to 90 degrees. For this case, with 42 degrees, the complimentary would be 48 degrees as they both add up to 90 degrees in the problem presented above.

Answer:

A:48

Step-by-step explanation: