The average person has about 100,000 hairs on their head. However, people with red hair

you are given a fraction in simplest form.the numerator is not zero. when you write the fraction as a decimal,it is a repeating

vampirchik [111]

You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9

<u>Solution:</u>

Given that, You are given a fraction in simplest form.

The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.

We have to find which numbers from 1 to 10 could be the denominator

Now, let us check each number by considering the numerator as 1

Then,

$1 \rightarrow \frac{1}{1}=1$ ⇒ non repeating

$2 \rightarrow \frac{1}{2}=0.5$ ⇒ non repeating

$3 \rightarrow \frac{1}{3}=0.333333333333$ ⇒ repeating

$4 \rightarrow \frac{1}{4}=0.25$ ⇒ non repeating

$5 \rightarrow \frac{1}{5}=0.2$ ⇒ non repeating

$6 \rightarrow \frac{1}{6}=0.1666666666666$ ⇒ repeating

$7 \rightarrow \frac{1}{7}=0.1428571428571$ ⇒ repeating

$8 \rightarrow \frac{1}{8}=0.125$ ⇒ non repeating

$9 \rightarrow \frac{1}{9}=0.11111111111111$ ⇒ repeating

$10 \rightarrow \frac{1}{10}=0.1$ ⇒ non repeating

If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.

Hence, the possible denominators are 3, 6, 7, 9

7 0

3 years ago

What is the answer to 3 x minus equals 5

agasfer [191]

3x - 5 =

divide 3 on both sides

you cancel out the 3 and when you divide the 5 by 3 you get 1.7

therefore x = 1.7

3 0

3 years ago

Write down the two inequality equations that go with this graph below:

Simora [160]

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

<h3>How to Write the Equation of an Inequality?</h3>

Once you know the slope (m) and y-intercept (b), in slope-intercept form y "inequality sign" mx + b, the inequality equation can be written.

Inequality equation for the Blue Line:

Find the slope (m) using the points (-2, -2) and (0, -3)

Slope (m) of the blue line = change in y/change in x = (-2 -(-3))/(-2 - 0)

Slope (m) of the blue line = 1/-2

Slope (m) of the red/pink line = -1/2

The y-intercept (b) for the red/pink line is: -3 (the value of y when x = 0).

We can use any possible inequality sign to state an inequality equation that go with the graph.

Substitute m = -1/2 and b = -3 into y ≥ mx + b:

y ≥ -1/2x - 3.

Inequality equation for the red/pink Line:

Find the slope (m) using the points (-2, -2) and (0, -5)

Slope (m) of the red/pink line = change in y/change in x = (-2 -(-5))/(-2 - 0)

Slope (m) of the red/pink line = 3/-2

Slope (m) of the red/pink line = -3/2

The y-intercept (b) for the red/pink line is: -5 (the value of y when x = 0).

Substitute m = -3/2 and b = -5 into y ≥ mx + b:

y ≥ -3/2x - 5

In conclusion, we have:

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

Learn more about the inequality equation on:

brainly.com/question/11234618

#SPJ1

6 0

2 years ago

What is the angle measure of 2x+1°

Ray Of Light [21]

Answer:

25 degrees

Step-by-step explanation:

Haha, awesome! Just did a problem like this!

All angles add up to 180, so set it up like this:

2x + 1 + 5x + 5 + 90 = 18

Combine like terms.

7x + 96 = 180

7x = 84

x = 12

Plug x back into 2x + 1

2(12) + 1

24 + 1

= 25 degrees

While we're at it...

5(12) + 5

60 + 5

= 65 degrees (for the other angle)

25 + 65 + 90 = 180

Math checks out & we're good to go!

Hope this helped. :) <3

5 0

2 years ago

Can you find both the value of x and y? It is a 30-60-90 triangle

Juli2301 [7.4K]

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

3 0

2 years ago