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tester [92]
4 years ago
10

simplify the complex fraction can you please explain each step I'm so confused if you could label the work that would be great​

Mathematics
1 answer:
sleet_krkn [62]4 years ago
3 0

Answer:

\frac{x + 2}{2[2x - 3]}

Step-by-step explanation:

Think about what you do when you are trying to factor trinomials with a leading coefficient greater than 1 [Slide & Divide (also known as the slowest way to factor trinomials with a leading coefficient greater than 1)]. Step 4 is called bottoms-up, meaning that you take the denominator of x and bring it to the outside number farthest to the left. Doing this will give you this <em>so</em><em> </em><em>far</em>:

\frac{x + 2}{4x - 6}

Now, if you have not noticed, 4x - 6 can be simplified further because the Greatest Common Factor [GCF] is 2, so factoring this out will give you your final answer of this:

\frac{x + 2}{2[2x - 3]}

I am delighted to assist you anytime.

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An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr
ExtremeBDS [4]

Answer:

\dfrac{1}{12}

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Required probability is:

\dfrac{3}{36} = \bold{\dfrac{1}{12}}

5 0
4 years ago
If candy canes cost .89 a dozen,how much would it cost to buy candy canes for a school with 400 students
IRINA_888 [86]
400/12 = # of dozen needed
.89 * # of dozen needed
400/12=33.33 need 34 dozen
.89*34=$30.26
8 0
3 years ago
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