write the standard form of the equation that is perpendicular to y = 5x + 4 and goes through point (3, -2).

Answer:

lifeguarding: 6 hours

tutoring: 10 hours

Step-by-step explanation:

First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:

11x + 22y

Then, write a system of equations to be able to find both variables.

If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:

x + y = 16

If Parker earned a total of $242, then you know that his combined pay will be:

11x + 22y = $242

Now, you solve the system of equations (IMAGE.A):

First, solve for x:

11x + 22y = 242

11x = 242 – 22y

x = 22 – 2y

Now, plug in the x-value in the other equation:

x + y = 16

22 – 2y + y = 16

22 – y = 16

–y = –6

y = 6

This means that he has worked 6 tutoring hours.

Now, plug in the y-value to find the x-value:

11x + 22y = 242

11x + 22(6) = 242

11x + 132 = 242

11x = 110

x = 10

this means that he has worked 10 lifeguarding hours.

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Step-by-step explanation:

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It is saying the same thing as 18-7 just in the parenthesis (-7).

Answer:

B. 18+(-7)

Hope this helps!!!!!!

Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

Answer:

12.37 + 5.40 + 3.05 = $20.82

Answer:

If is in that form (the blue part ) ,then the answer is that one

Answer:

-5

Step-by-step explanation:

Find the y-intercept by plugging in x = 0:

  y = 3x^2 - 12x - 5

  y = 3(0^2) - 12(0) - 5

  y = 0 - 0 - 5

  y = -5

(0, -5)

Answer:

I belive so it is

The slope: 3/2

The y-intercept: (0,9)

Step-by-step explanation:

Answer:

25, 34, 43

Step-by-step explanation:

-11 + x = -2, -11 + 9 = -2                -2 + x = 7, -2 + 9 = 7,  7 + 9 = 16                             -2 - x = -11, -2 - 9 = -11                   7 - x = - 2,                                                               2 + x = 11,  11 - 2 = 9, 9 = x            7 - 7 = 0 - 2 = -2,   7 + 2 = 9,    7 - 9 = -2    

16 + 9 = 25,   25 + 9 = 34,   34 + 9 = 43              

J'espère que cela pourra aider : )                                                    

Answer:

13 seconds

Step-by-step explanation:

Since distance is directly proportional to time,

distance = time * a constant

Lets make A the constant

So, 54 = 9A

A = 6

Now, since distance = 78,

78 = time * A

From above, we can see that A = 6, so

78 = time *6

time = 13

Answer:

13

Step-by-step explanation:

54/9=6, 6 is the rate at which the car travels. 78/6 is 13 so that is how far the car traveled

Answer:

∠6 and ∠7

Step-by-step explanation:

To be complementary, they both in total have to sum 180°, and that mean that they have to form a com pleat and straight line. ;)

The supplementary angles of angle 1 are angles 2 and 3.

      From given figure,

                   [tex]\angle1 +\angle2=180\\\\\angle1 +\angle3=180\\[/tex]

Thus , the supplementary angles of angle 1 are angles 2 and 3.

Find out more information about the supplementary angles here:

https://brainly.com/question/12919120

Answer:

4 gallons will be needed to paint an entire room

Answer:

The sequence that best represents the order during repaid of a fracture as as

follows

3. hematoma formation

4. fibrocartilaginous callus formation

2. bony callus formation

1. cartilage ossification

5. remodeling of woven (spongy) bone into compact bone

Step-by-step explanation:

When a bone is fractured, the first step following a bone fracture is hematoma formation.

Hematoma formation is formed when a little blood escapes from the blood vessels and remains in the skin's thickness, creating a blue spot. The hematoma is an effusion of blood that occurs deeper under the skin.

From there, the formation of tissues begins from end to end of the broken bones. It is a reorganization of the bone tissue (the bone itself), allowing the consolidation of a fractured bone. This bone formation welds the two parts of the broken bone together for a particular period depending on the patient's bone tissue condition. This bone callus will form in two episodes.

1) There first appears a fibrocartilaginous callus, also called connective callus, which allows the fracture to heal in a few weeks. It is an immature bone.

2) In a second step, this immature bone is gradually replaced by another bone (calcified/bony) resembling the bone which has been fractured.

From there, the ossification of the callus occurs where the bony callus is further replaced by woven spongy bones to form a stronger stabilizing collar.

Finally, the remodeling of woven (spongy) bone into compact bone takes place. Lamellar bones are replacing these woven spongy bones.

Answer:

i would disagree

Answer:

I would agree

Step-by-step explanation:

Answer:

I'm pretty sure Carly isn't correct.

Step-by-step explanation:

If I'm not mistaken, the ratio would be 4:3....

If I'm wrong, go ahead, sue me.

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

Given parameters:

 20 comics costs $5

  30 comics costs $7.50

Unknown:

Sale price per comic =   ?

Solution

The sale price per comic is ;

       = [tex]\frac{cost}{number of comics }[/tex]

       = [tex]\frac{5}{20}[/tex]  

       = $0.25 per comic

The cost per comic is $0.25 per comic

Answer:

0.25

Step-by-step explanation:

Answer:

2x^2=80

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

Answer:

89.86

Step-by-step explanation:

1 x 2 = 2

2 + 85 = 87

87 + 2.86 =

89.86

Answer:

The number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.

Step-by-step explanation:

Let the no. of runners fished at first place be x

Let the no. of runners fished at second place be y

Let the no. of runners fished at third place be z

We are given that Lakeland High School had 30 individual-  event placers

So, x+y+z=30 -----1

First-place finishers score 7 points

So, Total score of x runners = 7x

Second-place finishers score 4 points

So, total score of y runners = 4y

Third-place finishers score  1 point.

So, total score of z runners = z

We are given that 30 individual-  event placers score a total of 111 points

So, 7x+4y+z=111 ----2

We are also given that  The number of first- and second-place finishers was twice the  number of third-place finishers.

x+y=2z ---3

Substitute the value from 3 in 1

x+y+z=30

2z+z=30

z=10

Substitute the value of z in 1 and 2

x+y=20 ----4 and 7x+4y=101 ---5

Substitute the value of x from 4 in 5

7(20-y)+4y=101

140-7y+4y=101

140-3y=101

39=3y

`13=y

Substitute the value of y and z in 1

x+13+10=30    

x=7

Hence the number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.

Answer:

x>12

This is the answer

Answer:

m = 1

Step-by-step explanation:

Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.

Answer:

b= -1

m=1

Step-by-step explanation:

the equation for a linear graph is y=mx+b

your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)

therefore the equation would be

y=1x-1 or y=x-1

Answer:

1/2

Step-by-step explanation:

the equation of a function/line is y=mx+b where

b is the y intercept

x is the slope

y=x/2+5 is the same as y=1/2x+5

Answer:

A regular polygon has these characteristics:

A polygon can not have one or two sides because that would be a line. It must have more than three sides, or else it is not a polygon.

A polygon is always a closed shape - it can not be an open shape or else it would not be a polygon, it would be considered an outline.

Hope this helps you!

Answer:

the picture below should help

Answer:

13.5

Step-by-step explanation:

100 - 85 = 15

90 x 0.15 = 13.5

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

Step-by-step explanation: