What is one third of 75

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

Vinvika [58]

Given:

The equation is:

$y=-x+4$

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

$y=-x+4$

At $x=0$ , we get

$y=-0+4$

$y=4$

So, the x-intercept of the given equation is at point (0,4).

At $y=0$ , we get

$0=-x+4$

$x=4$

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

7 0

3 years ago

What fraction of 20 is 18?

Vera_Pavlovna [14]

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is the fraction. Now all you need do is divide.

Divide both sides by 20

20/20 * x = 18/20

$\text{x = } \dfrac{18}{20}$

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

18: 2 * 3 * 3

20: 2 * 2 *5

Cancel out the Highest common factor or 2.

You are left with

$\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}$ <<<< Answer

4 0

3 years ago

Read 2 more answers

Write your answer with no space and any fraction with “/“

nirvana33 [79]

Answer:

y+3=2(x-1)

Step-by-step explanation:

Point-slope form is $y-y_1 = m (x-x_1)$ . In order to write a linear equation using this form, the $y_1$ , $x_1$ and $m$ must be substituted by real numbers.

The $m$ represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or $y=mx+b$ , in which $m$ represents the slope. We can see that the $2$ is in place of that $m$ , therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.

The $x_1$ and $y_1$ represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the $x_1$ and -3 in place of the $y_1$ .

Substituting for those three values will give you an equation like this, therefore it is the answer:

$y-(-3)= 2(x-(1))$

$y+3= 2(x-1)$

4 0

2 years ago

What much expression represents a rational number?

Pie

Answer:

$\displaystyle \frac{2}{7}+\sqrt{121}$

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

$\displaystyle \frac{a}{b}, \ b\neq 0$

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

$\displaystyle \frac{5}{9}+\sqrt{18}$

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

$\pi + \sqrt{16}$

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

$\displaystyle \frac{2}{7}+\sqrt{121}$

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

$\displaystyle \frac{3}{10}+\sqrt{11}$