Is -101 any rational or irrational number

Answers

Answer 1
Answer:

Answer:

It is rational

Step-by-step explanation:

Step 1:  Determine

A number is irrational if it does not terminate.

A number is rational if the number does terminate.

-101 terminates

Answer: It is rational

Answer 2
Answer:

Answer:  

its a rational number


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Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?6, 1, –4, –9, –14, …

A.)f (n + 1) = f(n) + 5
B.)f (n + 1) = f(n) – 5
C.)f (n) = f(n + 1 ) – 5
D.)f (n + 1) = –5f(n)

Answers

B) because f(2) = f(1) - 5 = 6 - 5 = 1;
f(3) = f(2) - 5 = 1 - 5 = -4;
f(4) = f(3) - 5 = -4 - 5 = -9;
f(5) = f(4) - 5 = -9 - 5 = - 14;

Answer:

The Answer is B

Step-by-step explanation:

Jane,Andre,and Maria pick apples. Andre picks three times as many pounds Maria. Jane picks two times pounds as Andre. The total weight of apples is 840 pounds. How many pounds of apples does Andre pick?

Answers

Andre picked up almost 253 pounds of apples from a total of 840 pounds.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are Jane, Andre, and Maria. All of them are picking apples such that Andre picks three times as many pounds as Maria. Jane picks two times pounds as Andre and the total weight of apples is 840 pounds

Assume that Maria took (x) pounds of apples.

Then, Andre will pick (3x) pounds of apples.

Finally, Jane will pick up (6x) pounds of apples.

The total weight of apples is 840 pounds.

Therefore, we can model the situation as follows -

x + 3x + 6x = 840

10x = 840

x = 84

So, Maria took 84 pounds of apples.

Now, the apples picked up by Andre = 3x = 3 x 84 = 252 pounds of apples

Therefore, Andre picked up almost 253 pounds of apples from a total of 840 pounds.

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Andre picks 252 pounds of apples.

Further explanation:

Jane, Andre and Maria pick apples such that the apples picked by Jane are denoted by J, the apples picked by Andre are denoted by A and the apples picked by Maria are denoted by M.

The total weight of apples is 840 pounds.

Therefore, this can be written as,

{\text{J + A + M}} = 840                   ...... (1)\n

Andre picks three times as many pounds Maria then .{\text{A=3M}}.

Jane picks two times pounds as Andre then  .J = 2A.

Substitute 3M for A in the equation J = 2A to obtain relation between J and M as,

\begin{aligned}{\text{J}}&={\text{2A}}\n&= {\text{2}}\cdot{\text{3M}}\n&={\text{6M}}\end{aligned}

Now, substitute 3M for A and 6M for J in equation (1) then we get,

\begin{aligned} {\text{6M + 3M + M} &= 840}\n{\text{10M}& = 840}\n{\text{M}& = 84}\n\end {aligned}

Therefore, Maria picks 84 pounds of apples.

Substitute the obtained value ofM as 84 in equation J = 2A as,

\begin{gathered}{\text{J}}={\text{6}}\cdot {\text{84}}\n={\text{504}}\n\end{gathered}

Therefore, Jane picks 504 pounds of apples.

Substitute the obtained value of M as 84 in equation J = 6M  as,

\begin{gathered}{\text{A}}={\text{3}}\cdot {\text{84}}\n={\text{252}}\n\end{gathered}

Therefore, Andre picks 252 pounds of apples.

Thus, the total quantity that Andre picks is \boxed{{252}\text{ } \text{pounds}}.

Learn more:

1. Learn more about the equation of the circle brainly.com/question/1952668

2. Learn more about the center and radius of circle equation brainly.com/question/9510228

3. Learn more about general form of the equation of the circle brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations

Keywords: Linear equations, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, graph.

You decide to open a small business in the Bronx. You borrow $15,000 from the bank at an annual interest rate of 7% for 24 months. What is the amount of interest you will pay on this loan?

Answers

Answer:

$2,100 interest

Step-by-step explanation:

15,000×7% = 1,050

1,050×2 = 2,100

Answer:

15000x2x7/100 = 210

Step-by-step explanation:

I need a real answer fast thank you

Answers

12.2 I believe but I'm not sure

Annisa wrote an expression the product of 6.2 and the sum of 3c and 8 what are the factors of the expression

Answers

(6.2) and (3c+8) are the factors of the expression.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Annisa wrote an expression the product of 6.2 and the sum of 3c and 8

Let us break down and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

= 3c + 8

Thus, the product of 6.2 and the sum of 3c and 8 will be algebraically represented as:

= (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Hence, (6.2) and (3c+8) are the factors of the expression.

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Answer:

This product is 6.2(3c + 8)

Step-by-step explanation:

This product is 6.2(3c + 8).  The factors are 6   and   (3c + 8).

madison bought a new phone at 20% off the original price. If she paid $320 what was the original price of the phone

Answers

Answer:

$400

Step-by-step explanation:

Hi we have to use the Rule of the Three

The price that we paid represents the 80% of the original prize

Hence we have that

$320⇒80% (.8)

$x⇒100%(.1)

As we know we have to multiply diagonally and divide with the one in the corner

So we have (320)*(1 )=320 and then divide (320)/(.8)=400

Hence the original price was $400

Answer:

400

Step-by-step explanation:

320/(1-0.2)=Original price

400x0.8=320