Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.

20.00 = c + 9.79

What is the value of c, and what does it represent in this problem?
The value is $10.21, and it shows the cost of Pablo’s lunch.
The value is $29.79, and it shows the cost of Pablo’s lunch.
The value is $10.21, and it shows the change received
The value is $29.79, and it shows the change Pablo received

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

[tex]m = \frac{-2}{2 +1}[/tex]

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Answer:

8.8 hours

Step-by-step explanation:

Happy Paws    y=4.5x+19

Woof Watchers    y=5.75x+8

4.5(8.8)+19

$58.6

5.75(8.8)+8

$58.6

Answer:

4 1/6

Step-by-step explanation:

First, you have to convert any mixed numbers to fractions.

Then your initial equation becomes:

25/8÷3/4

Second, you have to apply the fractions formula for division.

= 25 x 4

------------- (You will be dividing.)

  8 x 3

=100/24

And if you simplify 100/24, the answer will become:

4 1/6

I hope this helps.    :)

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length  be represented as  6x

And the width be  = x

Such that that the Perimeter of the rectangle which is  

Perimeter = 2(length + width)  becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

Answer:

C

Step-by-step explanation:

C

Answer:

x>4

Step-by-step explanation:

3x+3>15

3x>15-3

3x>12

x>12/3

x>4

tdtdidtiddititidtidutdtudutdrysrys6rdr6druurddut

Answer:

x= -7/25

Step-by-step explanation:

Answer:

x = -25/7

Step-by-step explanation:

Answer:

y > 4 3

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

Answer:

LSA of a cube = 100 in²

Explanation:

Let the area of the cube be a.

Given the following data;

a = 5 in²

To find the lateral surface area;

We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.

Lateral surface area (LSA) of a cube = 4a²

Substituting into the equation, we have;

LSA of a cube = 4*5²

LSA of a cube = 4*25

LSA of a cube = 100 in²

Therefore, the lateral surface area of the package is 100 square inches.

THe Left one

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The bottom one:

Lateral area.

= 12 x 4

= 48 cm²

The left one:

Lateral area.

= 12 x 4

= 48 cm²

The diagonal one:

Lateral area.

= 1/2 x 4 x 4

= 8 cm²

Now,

Area.

= ( 1/2 x 4 x 4 ) x 12

= 8 x 12

= 96 cm³

Thus,

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

Learn more about prism here:

https://brainly.com/question/12649592

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Answer:

C

Step-by-step explanation:

To find surface area you find all the areas of the sides and add them up. We can start by setting up our equations.

A = L x W

For both the sides ——> 2(5 x 0.5) = 5

For both the triangle parts ——> bh/2 ———> (4 x 6)/2 times 2 = 24

For the bottom part ——> 6 x 0.5 = 3

Now to add everything up: 24 + 3 + 5 = 32

Answer:

y = -5/2x +4

Step-by-step explanation:

First, make the equation into standard form.

5x + 2y = -10

2y = -5x - 10

y = -2.5x - 5

In order for two lines to be parallel, they must have the same slope. (In y = mx + b, "m" is the slope)

The slope in y = -2.5x - 5 is -2.5, so we need to find an equation with a slope of -2.5 (or -5/2)

In y = -2/5x - 8, the slope is -2/5

In y = 2/5x + 7, the slope is 2/5

In y = 5/2x - 6, the slope is 5/2

In y = -5/2x +4, the slope is -5/2.  

Thus, y = -5/2x +4 is the right answer

Answer:

y= 1- 1/5x

Step-by-step explanation:

x+5y=5

-x. -x

-------------

5y = 5-x

÷5. ÷5

-------------

y= 1 - 1/5x

Answer:

B, 606,900

Step-by-step explanation:

First you'll need to calculate the percentage growth after 32(2030 - 1998) years. to do this you'll need to find 1.11^32 or 28.205, 1.11 being the percentage growth per year and 32 being the number of years passed. then 21,517*28.205 = 606,899.8 which can be rounded to 606,900.

Answer:

ok

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

P(red, then black) = [tex]\frac{2}{8}[/tex] · [tex]\frac{2}{7}[/tex] = [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex] (simplifed form)

Answer:

$31.50

Step-by-step explanation:

30% of 45 is 13.5

45-13.5=31.5

Answer:

5(n+3)

Step-by-step explanation:

factor both of them

their common number is 5

divide 5 by each of them

5/5=1

15/5=3

Answer:

16.43

Step-by-step explanation:

gib brainlest or else:0

Answer:

A & E are correct. I have the same question as you.

Step-by-step explanation:

Just trust me its a and e

Answer:

D

Step-by-step explanation:

.06 =6%

The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%

The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.

Given, The population of a city can be modeled by the expression

[tex]p(1.06)^t[/tex] where t represents the number of years.

This describes the yearly growth rate of the population is 6%.

If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.

learn more about population growth here :

https://brainly.com/question/18415071

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Answer:

y = tan x - pi/2

Step-by-step explanation:

y = arctan(x+pi/2) use that tan y = x is y= arctan x

tan y = x+pi/2; change x with y and find y

tan x= y +pi/2; subtract pi/2 from both sides

-pi/2 + tan x = y

y= tan x -(pi/2) is the inverse function

you can also write it as

y = 1/2(2 tan x -pi)

y = tan x - pi/2

Answer: number 1

Step-by-step explanation:

its most likley the first one its a straight line on the graph

like if this helped

Answer:

0

Step-by-step explanation:

-2 (3 - 3)

distribute: -6 + 6

add: -6 + 6 = 0

Answer:

0

Step-by-step explanation:

p=-2,b=3,c=3

p(b-c)

-2(3-3)

-2(0)

0

or-2(3-3)

-6+6

0

hope it's helpful ❤❤❤❤

THANK YOU.

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