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4 years ago

Is the decimal form of 13/3 a rational number?

Mathematics

1 answer:

Arturiano [62]4 years ago

7 0

I would assume so since it is a repeating decimal.

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In attempting to solve the system of equations and , John graphed the two equations on his graphing calculator. Because he saw o

asambeis [7]

Answer:

The correct answer is NO.

Step-by-step explanation:

John is graphing two lines with equations say ax + by + c = 0 and dx + ey +f =0 on his graphing calculator.

For John to get a unique solution the coefficients should follow the following condition $\frac{a}{d} \neq \frac{b}{e}$ . So when he plots the lines he get an intersecting pair of lines.

For John to get no solution the coefficients should follow the following condition $\frac{a}{d} = \frac{b}{e} \neq \frac{c}{f}$ . When we plot in this case we get two parallel lines.

For John to get an infinite many solution the coefficients should follow the following condition $\frac{a}{d} = \frac{b}{e} = \frac{c}{f}$ . And when we plot the lines in this case we get one line superimposed on the other.

Since after graphing, John sees only one line, the lines must have superimposed on one another giving John an infinite number of solutions.

5 0

3 years ago

Ezra counts the number of passengers who are already on the bus when he gets on each morning. His data for the last 15 days are

Rom4ik [11]

Answer:

Step-by-step explanation:

The data is

8,9,9,10,12,12,13,14,15,15,15,16,18,19,20

There are 15 data points

The median is the 15/2 = 7.5 rounding to 8

The 8th data point

8,9,9,10,12,12,13, 14, 15,15,15,16,18,19,20

Take the 7 points on the left and divide in half

Take the 7 points on the right and divide in half

8,9,9, 10 ,12,12,13, 14, 15,15,15, 16, 18,19,20

The interquartile range is the middle of the upper half of the data minus the middle of the lower half of the data

16 - 10 = 6

5 0

4 years ago

The area of a square is 36 square centimeters. A rectangle has the same perimeter as the square. The length of the rectangle is

Irina-Kira [14]

Answer:32sq cm

Step-by-step explanation:

area of square 36

sides are then 6 by 6

6+6+6+6=24

24 can be made into 4+4+8+8 8 is twice as much as 4 8x4=32

4 0

3 years ago

Question 7 )

soldier1979 [14.2K]

Answer:

Tony has 45 dollars

Milan has 15 dollars

Lucy has 25 dollars

Explanation:

Let x represent the amount of money Milan has in his wallet.

TONY: 3x

MILAN: x

LUCY: x+10

Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.

3x+x+x+10=85

5x+10=85

5x=75

x=75/5

x=15

Tony has 45 dollars (3*15=45)

Milan has 15 dollars (x=15)

Lucy has 25 dollars (10+15=25)

7 0

3 years ago

A gum ball machine has 6 red gum balls, 3 green gum balls, and 5 blue gum balls. What is the probability that the next gum ball

lord [1]

Answer:

Step-by-step explanation:

P(red gum ball)= 6/14=3/7

6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.

P(red gum ball)=3/7

7 0

3 years ago