What is the binary number for 20

Which pair of equations below represent parallel lines? and y = 9 and x = 18 y = 4x + 9 and y = 4x – 9 y = 5x + 15 and y = –5x +

Inessa05 [86]

Answer:

The correct option is 2.

Step-by-step explanation:

The slope of two parallel lines are equal.

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

In option 1, the equation of lines are

$y=9$

$x=18$

The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.

In option 2, the equation of lines are

$y=4x+9$

$y=4x-9$

By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.

Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.

In option 2, the equation of lines are

$y=5x+15$

$y=-5x+15$

By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.

Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.

3 0

3 years ago

Read 2 more answers

Devin made 30 custom t-shirts to sell.He will donate 1/8 0f his total sales to a local charity. He sold all 30 t-shirts for $18

V125BC [204]

Answer:

Devin will donate $67.5 to charity.

Step-by-step explanation:

Given:

Devin made 30 custom t-shirts to sell.

He will donate 1/8 0f his total sales to a local charity.

He sold all 30 t-shirts for $18 each.

Now, to find the amount Devin donate to charity.

Total number of t-shirts = 30.

Each t-shirts sold at = $18.

So, total amount of 30 t-shirts sold:

$30\times 18$

$=\$540.$

As, Devin will donate $\frac{1}{8}$ of his total sales to a local charity.

Now, to get the amount he will donate to charity:

$\frac{1}{8} \ of\ \$540\\\\=\frac{1}{8} \times 540\\\\=\frac{540}{8}\\\\=\$67.5.$

Therefore, Devin will donate $67.5 to charity.

5 0

4 years ago

Which ordered pairs are solutions to the inequality 2x+y>−4?

hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

$2x+y>-4$

$y>-2x-4$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-12)$

Substitute the value of x and y in the inequality

$-12>-2*5-4$

$-12>-14$ ------> is True

therefore

the ordered pair $(5,-12)$ is a solution of the inequality

case b) $(-3,0)$

Substitute the value of x and y in the inequality

$0>-2*-3-4$

$0>2$ ------> is False

therefore

the ordered pair $(-3,0)$ is not a solution of the inequality

case c) $(-1,-1)$

Substitute the value of x and y in the inequality

$-1>-2*-1-4$

$-1>-2$ ------> is True

therefore

the ordered pair $(-1,-1)$ is a solution of the inequality

case d) $(0,1)$

Substitute the value of x and y in the inequality

$1>-2*0-4$

$1>-4$ ------> is True

therefore

the ordered pair $(0,1)$ is a solution of the inequality

case e) $(4,-12)$

Substitute the value of x and y in the inequality

$-12>-2*4-4$

$-12>-12$ ------> is False

therefore

the ordered pair $(4,-12)$ is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

7 0

4 years ago

Read 2 more answers

Percent how am i solving it

blondinia [14]

to find a percent you have to find a equivalent fraction that equals to ___\100

7 0

3 years ago

when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at b

Alborosie

Answer:

cousin

1/20 inches

Step-by-step explanation:

Hi there !

cousin

21 4/5 = (21×5+4)/5 = 109/5

friend

21 3/4 = (21×4+3)/4 = 78/4

lcm(4 ; 5) = 20

⁴⁾109/5 = 436/20 (cousin)

⁵⁾87/4 = 435/20 (friend)

436/20 > 435/20

cousin > friend

436/20 - 435/20 = 1/20 inches longer (cousin)

Good luck !

5 0

3 years ago

What is the binary number for 20​

What is the binary number for 20