Remmi wrote the equation of the line y=1/3(x+2) He solved for x and got x=3y-2 Which of the following is an equivalent equation for x?a. x=y-11/3
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)

Answers

Answer 1
Answer: By examining the choices, it can be noted that the equivalent equation is obtained by factoring 3 out of the right side of the equation, x = 3y - 2 which will give an answer of x = 3(y - 2/3). Thus, the answer is letter C. 
Answer 2
Answer:

Just took the quiz.

The answer is x=3(y-2/3)


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This is hard for me can anyone help me? 9

A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK is a different code from BAIK.)The size of the sample space is . The probability that the first three letters of the four-letter code are vowels is?

Answers

Answer: The size of the sample is 840.

The probability that the first three letters of the four-letter code are vowels is=(1)/(35)

Step-by-step explanation:

Th total number of letters given to form code of 4 letters = 7

Since, the order of the letters in the code matters, which means there is no repetition.

The total number of ways to form the code size =7*6*5*4=840

Therefore, The size of the sample is 840.

Since, there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels =3*2*1*4=24

The probability that the first three letters of the four-letter code are vowels is

=(24)/(840)=(1)/(35)

The probability that the first three letters of the four-letter code are vowels is 1/35 and the size of the sample is 840.

What is the explanation for the above?

Step 1 - Determine the sample size.

It is to be noted that the total number of letters given to form code of 4 letters = 7

Given that  the order of the letters in the code matters, which means there is no repetition; hence,

The total number of ways to form the code size = 7 x 6 x 5 x 4 = 840

Thus, the size of the sample is 840.

Step 2  - Solve for the Probability

Given that  there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels

= 3 x 2 x 1 x 4

= 24

Hence, the probability that the first three letters of the four-letter code are vowels is

= 24/840

= 1/35

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All whole numbers are also rational numbers?

Answers

Yes all whole numbers are also rational number because they can be represented as a ratio of itself and 1, or as ratio of two other whole numbers.

For example:

4 =    8 / 2

4 = 4 /1

-3 = -9 / 3

1 = 1 / 1

3 = 3 / 1

8x-9y=11 Solve for y.

Answers

8x-9y=11
-9y=-8x+11
9y=8x-11
y=8/9x-11/9
sorry, thats as simplified as it can get with 2 variables in the equation

Answer:

y = 8/9x + -11/9

Step By Step:

Let's solve for y.  8x−9y=11

Step 1:

Add -8x to both sides.  

8x−9y+−8x=11+−8x

−9y=−8x+11

Step 2:

Divide both sides by -9.

-9y/-9 = -8+11/-9

y = 8/9x + -11/9

What is the conclusion of the following conditional?A number is divisible by 3 if the sum of the digits of the number is divisible by 3/

A. The number is odd.
B. The sum of the digits of the number is divisible by 3.
C. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
D. The number is divisible by 3.

Answers

The correct answer among the choice presented above is option D. The conditional statement for the statement given is "If the sum of the digits of a number is divisible by 3, then the number is divisible by 3". The conclusion here is the statement "The number is divisible by 3".

Answer:

The number is divisible by 3.

Step-by-step explanation:

I agree with the above. The hypothesis begins with "if", so the conclusion would be "the number is divisible by 3."

Which of these numbers is between 1 and 3/4 ?A.Begin fraction seven over four end fraction

B.Begin fraction five over eight end fraction

C.Begin fraction seven over eight end fraction

D.Begin fraction three over five end fraction

Answers

Begin fraction seven over eight end fraction i,e 7/8 (0.875) is the numbers is between 1 and 3/4. Option C is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that the two numbers are 1 and 3/4.

The number should lie between 0.75 and 1. From all the given options we analyze the values one by one we get the Begin fraction seven over eight end fraction i,e 7/8 (0.875) is the correct.

The given condition is represented as,

3/4 < 7/8 <1

0.75 < 7/8 < 1

Thus, begin fraction seven over eight ends fraction i,e 7/8 (0.875) is the numbers is between 1 and 3/4. Option C is correct.

Learn more about the fraction here:

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Answer:

C

Step-by-step explanation:

You welcome

A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Luke scoops out a bowl full of nuts and counts how many of each type he has: 18 peanuts, 8 cashews, 10 almonds, and 9 walnuts. Armando scoops out a bowl of 30 nuts. About how many should he expect to be peanuts?

A.4

B.6

C.9

D.12

Answers

D.12

In total Luke found 18 peanuts out of 45 nuts- a ratio of 2:5

Armando will expect to find a ratio of 2:5 which is 12 peanuts out of 30 nuts.


Answer: D. 12

Step-by-step explanation:

I just took the test