18x^3 + 12x^2 - 3x) / 6x^2

Answers

Answer 1
Answer:

Hi There

(18x^3+12x^2-3x)/6x^2

= ( 18x^2+12x-3)/6x

= (6x^2+4x-1)/2x

I hope that's help !


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Ms. Scott wrote a test. Part A had true/false questions, each worth 6 points. Part B had multiple choice questions, each worth 4 points. She made the number ofpoints for Part A equal the number of points for Part B. It was the least number of points for which this was possible,
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions

Answers

Answer:

1. How many points was each part worth?

 - 12 points

2. How many questions did part A have?

 - 2 questions

3. How many questions did Part B have?

 - 3 questions

Step-by-step explanation:

We can set up our equation like this:

6x = 4y

In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.

Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.

Since 6 is higher than 4, it's easier to go off of there.

6 x 1 = 6                        4 is too big to go into 6 so we will move on.

6 x 2 = 12                      4 goes into 12 3 times so we can use this.

Now that we've figured this out, we can put it in our equation:

6(2) = 4(3)

In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.

Now we can start with the questions:

1. How many points was each part worth?

Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing

2. How many questions did part A have?

Part A had 2 questions because this is what x was when we multiplied by 6

3. How many questions did Part B have?

Part B had 3 questions because this is what y was when we multiplied by 4

Hope this helps!!

Final answer:

Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.

Explanation:

The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.

The prime factorization of 6 is 2 x 3.

The prime factorization of 4 is 2 x 2.

From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.

Therefore, each part is worth 12 points.

To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:

6x = 12

x = 2

4y = 12

y = 3

Learn more about Least Common Multiple here:

brainly.com/question/34291727

#SPJ2

There are 100 gumdrops. 78 of them are large, and the rest are small. 33 of them are red, and the rest are other colors. 16 of the gumdrops are large red ones. You choose 1 gumdrop at random, and it is that yummy red color. What is the probability that the gumdrop is large, given that it is red?Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

Answers

large red ones= 16/78
33-16=17 small gumdrops

22 gumdrops are small
small red ones=17/22

Probability of large and small red ones:
prob. of large red ones:     16/78+22/22= 38/100=38%
prob. of small red ones:    17/22+78/78= 95/100=95%

There is a sale on produce at the local supermarket. Strawberries are ½ price if you buy more than 45 ounces. The scale only measures in pounds. How many pounds would you have to buy to receive the discount

Answers

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

If 90% of the answers were correct then what percent were incorrect what percent were incorrect

Answers

10%. Because 100% -90% is 10%
10% of the answers would be wrong beacuse 100% is also equal to 1, and if only 90% of the answers were incorrect, that would be equal to 0.9. To get from 0.9 to 1, you add 0.1, or 10%

If m is the number of magic markers, which variable expression represents the phrase below?The difference between the number of magic markers and 7 colored pencils
A.


7
m⋅7
B.

+
7
m+7
C.


7
m−7
D.

÷
7
m÷7

Answers

Answer:

m-7

Step-by-step explanation:

This is shown because the Difference relates to subtraction. You can then use process of elimination to see the answer will be m-7

A river flows at the rate of 30 feet per minute what is the rate in seconds per foot

Answers

30 ft/ minute=30 ft/ minute*(1 minute / 60 s)=0.5 ft/s
rate in seconds per foot=1 / (0.5 ft/s)=2 s/ ft.

Answer:2 s/ft.