Answer: 4th graph

Explanation:

3x _> 3
x _> 3/3
x _> 1

9x > 54
x > 6

We can write x like this:

1 <_ x < 6

Meaning that x is bigger or equal to 1 but less than 6

6 0

3 years ago

Which statement is true of an appropriate sample of a population?

Ulleksa [173]

The first statement!

4 0

3 years ago

Read 2 more answers

Three times a number plus five equal twenty

Bezzdna [24]

Let the number be x
3x + 5 = 20
3x = 20 - 5
x = 15/3
x=5

3 0

3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

3 years ago