MATHEMATICS MIDDLE SCHOOL

Which of the following shows 27⁄54 written in prime factored form to help in reducing the fraction to simplest form? A. 1⁄2
B. 9×3 ⁄9×6
C. 27×1 ⁄27×2
D. 3×3×3⁄3×3×3×2

Answers

Answer 1
Answer:

Answer:

3×3×3⁄3×3×3×2

Step-by-step explanation:

27 = 3×3×3

54 = 3×3×3×2

The prime factored form of 27⁄54 is thus;

3×3×3⁄3×3×3×2
Answer 2
Answer:

Answer:

D= 3×3×3/2×3×3×3

Step-by-step explanation:

A prime factored form breaks the number into prime numbers that give the same value when multiplied

27= 3×3×3

54=2×3×3×3

To get the simplest form of a fraction you proceed with division.

=3×3×3 / 2×3×3×3.............................cancel 3 in the numerator and denominator

= 1/2

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A video game costs $ 21 more than a controller. Together, the video gameand the controller cost $ 76. Determine the cost x of the controllerWhat is the cost of the game?

5 is 10% of what number

Answers

Your answer would be 50
10% of x is 5 
0.10x = 5 
x = 5/0.1 = 50

Hope I helped:P 

Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h.Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

Answers

It's not obvious here, but you're being asked to find a linear equation for the velocity of the car, given two points on the line that represents this velocity.

Find the slope of the line segment that connects the points (3 hr, 51 km/hr) and (5 hr, 59 km/hr).  Graph this line.  Where does this line intersect the y-axis?  Find the y-value; it's your "y-intercept," b.

Now write the equation:  velocity = (slope of line)*t + b

The units of measurement of "slope of line" must be "km per hour squared," and those of the "y-intercept" must be "km per hour."

Part B:  Start with the y-intercept (calculated above).  Plot it on the vertical axis of your graph.  Now label the horizontal axis in hours:  {0, 1, 2, 3, 4, 5, 6}.  Draw a vertical line through t=6 hours.  It will intercept both the horiz. axis and the sloping line representing the velocity as a function of time.  Show only the part of the graph that extends from t=0 hours to t=6 hours.

What do they mean by this!?!?!? I didn't learn this yet.... I think .......... look at the picture

Answers

So to decompose means to break down. They may be talking about breaking up the number by what "place" it's in.

example given:
1,239 = 1,000 + 200 + 30 + 9
it means to break down the number 20

The length of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions is the third side of this triangle

Answers

The length of the two sides of a triangle is 14 inches and 4 inches.

We have given that,

The length of the two sides of a triangle is 14 inches and 4 inches.

We have to determine the which of following dimensions is the third side of this triangle.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

The answer would be 11 believe.  

The length of the two sides of a triangle is 14 inches and 4 inches is 11.

To learn more about the triangle visit:

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The length oftwo sides of a triangle are 14 inches and 4 inches. The answer would be 11 i believe.  

A company logo is a white square inside a red square. The side length of the white square is x+2. The side length of the red square is three times the side length of the white square. What is the area of the red part of the logo? Write your answer in standard form.

Answers

The problem says that the company logo is square in shape, therefore ithas an area of the side of of it multiplied by itself. you also have two squares,the white square inside the red square. You are given the side of the whitesquare as x + 2 and the side of the red square as 3(x + 2). This can be solvedthrough ratio and proportion. 

A (white square) = (x + 2)^2
A (red square) = [3(x +2)]^2 

A (red square)/A (white square) = [3(x +2)]^2/(x + 2)^2
A (red square)/A (white square) = 3^2 = 9

Final answer:

The area of the red part of the logo is found by subtracting the area of the white square from the area of the red square. The side length of the white square is given as x+2 and the side length of the red square is three times the length of the white square. This gives us the formula for the area of the red part as [3(x+2)]² - (x+2)².

Explanation:

To solve this problem, you need to find the difference between the area of the red square and the white square which will give you the area of the red part of the logo.

Firstly, we are given the side length of the white square is x+2 so the area of the white square would be (x+2)².

Secondly, the side length of the red square is three times the side length of the white square, so it would be 3(x+2). Hence, the area of the red square would then be [3(x+2)]².

Therefore, the area of the red part of the logo (which is the difference between the area of the red square and the white square) would be [3(x+2)]² - (x+2)².

Learn more about Area of Squares here:

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80 points math question! please explain in simple terms :)Please make a graph also. The main reason I'm asking this question for such high points is for you to explain your answer and how you got it. I really want to understand.

Answers

An absolute value function has a graph that is V shaped.

The domain is the input (x) value, which can be any real number, so the domain is (-∞,∞)

The range starts at the vertex and goes to infinity.

To find the vertex, set the absolute value part of the equation to 0 and solve for x:

x+3 = 0. x = -3

Now replace x with -3 and solve the full equation:

|-3 +3|-1 = -1

The vertex becomes (-3,-1)

The range is the output value ( Y) , so the range would be [-1,∞)

See attached picture for graph:

Answer:

The graph would be something like this.

Step-by-step explanation:

The domain and range would be (-∞, +∞)

This is because, the function f(x) is valid for any of the values between (-∞, +∞)

Hope it helps.
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