Please help! I will thank and rate the best answer. Ten points! I am stuck on this question:-2 2/3 x 6/7

Answers

Answer 1

Answer: -2 2/3 * 6/7

First, we can start out by turning 2 2/3 into an improper fraction. To do this, we will have to use the improper fraction rule which is: a b/c = ac+b/c. Let's use that rule to create our improper fraction.
$- (2 * 3 + 2)/(3) * (6)/(7)$

Second, let's simplify the numerator. We can begin with 2 × 3 (equals 6). We can then move onto 6 + 2 (equals 8).
$- (8)/(3) * (6)/(7)$

Third, our next step will be to apply another rule to our problem. This is our last rule, don't worry. If you have never learned these rules, you could always look them up and see what they are for. Basically, we need the rules to get the correct answer. The rule for this step is: a/b × c/d = ac/bd. Let's continue to use that for our problem.
$- (8 * 6)/(3 * 7)$

Fourth, let's simplify the numerator and denominator. 8 × 6 (equals 48) and then 3 × 7 (equals 21).
$-(48)/(21)$

Fifth, we can simplify our fraction now down to lower terms. To do this, we have to find the greatest common factor (GCF) of both the numerator and denominator.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 21: 1, 3, 7, 21

The common factors between the two numbers are 1 and 3. Since 3 is the greatest, it is considered the GCF.

Sixth, our next step to simplifying the fraction is to divide the numerator (48) and the denominator (21) by the greatest common factor we just found which was 3.

$48 / 3 = 16 \n 21 / 3 = 7$

Our new fraction is now -16/7.

Seventh, we now have to convert the fraction we recently found to a mixed fraction. 16 ÷ 7 = 2 with a remainder of 2. One of those 2's will be the whole number and the second will be our new numerator. After doing this, we will have our answer.
$-2 (2)/(7)$

Answer in fraction form: $\fbox {-2 2/7}$
Answer in decimal form: $\fbox {-2.2857}$

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If T(n) = 6n + 2 what is the 3rd term

Answers

To find the 3rd term, just replace the 'n' with 3.

Therefore:

t(3) = 6(3) + 2
t(3) = 18 + 2
t(3) = 20.

The 3rd term is 20.

T(n)=6n+2 T3=6(3)+2 T3=20

What is the nth term of the sequence? 4, –1, –6, –11, …a. 5n – 9
b. n + 3
c. –5n + 9
d. –5n + 4

Answers

C. -5n + 9
When you sub in 1 for n you get -5(1)+9 which is 4 and when 2 is subbed in for n it is -10+9 which is -1 so it checks. After -11, the next number would be -5(5)+9= -16

A fair number cube with sides labeled from 1 to 6 is rolled 20 times. the results of the simulation are shown in a dot plot. which dot plot models an unfair data-generating process?

Answers

The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

What is dot plot?

A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.

We have:

A fair number cube with sides labeled from 1 to 6 is rolled 20 times.

Total number on, a fair number of cubes = 6

So the dot plot can be shown as:

1:4, 2:4, 3:0, 4:4, 5:4,6:4

There is a face with 3 has not rolled.

Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

Learn more about the dot plot here:

brainly.com/question/21862696

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1:4 ,2:4 ,3:0, 4:4, 5:4,6:4 so basically the one with no dots or hasn't been rolled

How many cups of sugar is needed for 5 gallons