All categories

2 years ago

Write 0.25 repeating as a fraction in simplest form.

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

6 0

× = 25/99

Step-by-step explanation:

x = 0.2525..... (1)

then ; 100x = 25.2525... (2)

(2) - (1) gives

x (100 -1) = 25

x = 25/99

You might be interested in

Which is used to find the number of ways a given number of objects can be ordered? need help asap please im between factorial an

raketka [301]

Factorial is the correct answer because in combinations the order does not matter

8 0

3 years ago

Read 2 more answers

K(x) = 6x+100 k(-5) =

kkurt [141]

Answer:

$k(-5)=70$

Step-by-step explanation:

The given function is

$k(x)=6x+100$

To find k(-5), we put x=-5 into the given function to get;

$k(-5)=6(-5)+100$

Multiply out to obtain;

$k(-5)=-30+100$

This is the same as;

$k(-5)=100-30$

This simplifies to

$k(-5)=70$

3 0

3 years ago

Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give awa

julsineya [31]

Answer:

49 people

Step-by-step explanation:

Take the amount of candy and divide by the amount in a serving

2 3/4 ÷ 1/18

Change to an improper fraction

(4*2+3)/4 ÷ 1 /18

11/4 ÷ 1/18

Copy dot flip

11/4 * 18/1

198/4

49.5

Round down since people do not want half a serving

49 people

8 0

3 years ago

What is the midpoint of QR. Q(2,4) and R(-3,9)

Eduardwww [97]

Answer:

The answer is

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

$M = ( \frac{2 - 3}{2} \: , \: \frac{9 + 4}{2} ) \\$

We have the final answer as

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Hope this helps you

6 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

3 years ago

Read 2 more answers