All categories

3 years ago

(b) What is 0.36 (six repeating) expressed as a fraction in simplest form?

1 answer:

3 0

0.3666.....

If a number is repeating singly, just know it has to do with dividing by 9.

Let the number be x = 0.36.... (i)

Multiply both sides by 10.

10x = 3.66... (ii)

Equation (ii) - (i)

10x - x = 3.66 - 0.36

9x = 3.3

x = 3.3/9

x = (33/10)*(1/9)

x = 33/90

x = 11/30

The simplest fraction is 11/30

You might be interested in

Help please ...........

GarryVolchara [31]

7/9 = 0.777777
8/11 = 0.727272
0.79
84% = 0.84
4/5 = 0.8

8/11, 7/9, 0.79, 4/5, 84%

4 0

2 years ago

Read 2 more answers

The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a

zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

$Area = \frac{1}{2}\times Base \times Height$

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

$Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0$

This is a quadratic equation which can be solved using a quadratic equation as shown below:

$h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25$

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0

3 years ago

In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of

MA_775_DIABLO [31]

Answer:

Korea = 15

Italy = 16

France = 17

Step-by-step explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17

4 0

3 years ago

Is 88,490,144 divisible by 9?

Vlad [161]

Answer:

Step-by-step explanation:

The sum of the digits is 40 which is not divisible by 9, so it is not divisible by 9

3 0

2 years ago

Read 2 more answers

Sanji scored 125 points in the first round of a video game and 263 points in the second round. His total score after the third r

GaryK [48]

Sanji scored 44 points more in the third round than in the first round.

4 0

2 years ago