Stephanie's graduation picnic costs $7 for every attendee. Write an equation that shows the relationship between the attendees, a,and the cost, c. Complete the table to represent this scenario. Then graph the function. Be sure to label your table and graph.

Answer:

(0,0) or Infinitely many solutions.

Step-by-step explanation:

-−4x−4y=0

−4x−4y+4y=0+4y(Add 4y to both sides)

−4x=4y

−4x/-4= 4y/-4

(Divide both sides by -4)

x=−y

4x+4y=0

4(−y)+4y=0

0=0

Answer:

(4y7+5x2)(−4y7+5x2)

Step-by-step explanation:

Answer:

389,120

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -x²+4 and y = 2x+1

Therefore,  -x²+4 = 2x+1

x²+2x-3 = 0

x = 1,-3

There are two solutions:

(1,3) and (-3,-5)

The solutions to the system of equations are (x, y) = (-3, -5) and (1, 3).

We have,

To solve the system of equations:

Set the expressions for y equal to each other:

-x² + 4 = 2x + 1

Rearrange the equation to bring all terms to one side:

-x² - 2x + 3 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we will use factoring.

Factor the quadratic equation:

(-x - 3)(x - 1) = 0

Set each factor equal to zero and solve for x:

-x - 3 = 0 or x - 1 = 0

Solve the first equation:

-x = 3

x = -3

Solve the second equation:

x = 1

Substitute the values of x back into one of the original equations to find the corresponding values of y.

For x = -3:

y = 2(-3) + 1

y = -6 + 1

y = -5

For x = 1:

y = 2(1) + 1

y = 2 + 1

y = 3

Therefore,

The solutions to the system of equations are (x, y) = (-3, -5) and (1, 3).

Learn more about equations here:

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Answer:

280

Step-by-step explanation:

5 story problems ->$14

100 story problems -> ?

100÷5=20

20x14=280

Answer:

$280

Step-by-step explanation:

$14.00 divided by 5 would be 2.8

So he would earn $2.8 per problem

Well 2.8 x 100 is $280

So the answer would be $280

Hope this helps

Answer:

B. 17°

Step-by-step explanation:

7x + 28° + 33° = 180°{ being linear pair }

7x = 180° - 33° - 28°

7x = 119°

x = 17°

Hope it will help :)✔

Answer:8 y sobran 4

Step-by-step explanation:

8entre  4

Answer:

1.5

Step-by-step explanation:

Answer:

this is very hard, I do not understand such math, I don't know

Answer:

A

Step-by-step explanation:

We are adding together, so b and d can't be the answer. Fran has 2 fewer hats than elena , so Fran cannot be h or else she would have more hats.

So, a would have to be the answer.

Answer:

Step-by-step explanation:

Let b>a

b-a=63

b=63+a

a+b=111, substituting 63+a from above in this equation gives you

a+63+a=111

2a+63=111

2a=48

a=24, since b=63+a

b=63+24

b=87 so the two numbers are

24 and 87

Answer:

4.5

Step-by-step explanation:

Answer:

Root 3

Step-by-step explanation:

Answer:

Perimeter 182 cm, area= 2,028 cm2

Step-by-step explanation:

The perimeter of the given rectangle is

  2(6 cm + 8 cm) = 28 cm

The area of the given rectangle is

  (6 cm)*(8 cm) = 48 cm^2

The larger rectangle will have a perimeter of

  6.5*28 cm = 182 cm

The larger rectangle will have an area of

  6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area

The appropriate choice is the 3rd one, ...

  Perimeter = 182 cm, area = 2,028 cm^2

Answer: Perimeter = 182 cm, area = 2,028 cm2 3rd one

Step-by-step explanation:

Answer:

3(13.50+6.50s) and 3(20.00s)

Step-by-step explanation:

Answer:

10?

Step-by-step explanation:

I'm assuming it wants you to simplify 3 14/2 if so, then the answer would be 3 14/2 = 10

[tex]3\frac{1}{3}\cdot \:14 =\frac{10}{3}\cdot \:14 =\frac{10\cdot \:14}{3} =\frac{140}{3} =46\frac{2}{3}[/tex]

Answer:

6

Step-by-step explanation:

I would say 6 because that is a square and all sides on a square are equal.

Answer:

6

Step-by-step explanation:

All the sides of a rhombus are the same. Therefore, if you want to find AD its the same as AB which is 6

104.00

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Answer:

72

Step-by-step explanation:

because you do 8x9 and its 72

Answer:

72

Step-by-step explanation:

hope it helps

1) No, I have not been in a situation thankfully. But if I was in that situation, where someone was texting while driving, what I would do is turn the person’s phone to silent so that the person won’t get distracted. In addition, I would grab the person’s phone and keep it with me so that the phone is out of reach from the person driving and so that they won’t get distracted or curious and what notifications the are getting.

2) Spending time reading the received or to send a text just for 5 seconds, can increase your chance of crashing. It might seem that’s it not possible to crash just for looking on your phone for only 5 seconds, but it can happen.

3) I personally do think that it’s worth monetary and punitive price if you are caught texting and driving because you are risking the chance of not only getting yourself in danger, but everyone and everything around you. Paying the price will be a helpful reminder to not text and drive at the same time because it will teach you that there are consequences from texting and driving. In addition, if you did hit someone or something, that can not be undone and will effect you and other people. Paying a price can be done but potentially killing something or someone can not be done.

4) A few things that can help you not drive and text at the same time is the following:

- Simply just put your phone in silent. This will help the noises and vibrations from your phone notifications be silent and will help you not be distracted. This is a definitely number 1 rule to keep your eyes on the road instead of your phone.

- If you are with someone else, let the other person text for you so that you don’t have to look and take your hands off the wheel. Simply just say what you want to text to the other person so that they do your job for you.

- Put your phone somewhere you can’t reach it. For example, put it in the backseat so it’s not easy for you to reach it. This will help you not get tempted to grab your phone.

5) To a teenager, the advice I would give is the same things I put for question 3. I think that these steps applies not just for teenagers but for everyone who can drive, no matter the age. Now, to the individuals who think that it’s necessary to drive and text at the same time, what I would say to them is “threaten them” not in a bad way, but what I would say is “There has been a lot of cops around here, you should put your phone away or else you can get a ticket”. It will scare them because who wants to pay a ticket? No one right? If the person is stubborn because sometimes people think they are right and refuse to be in the wrong, just don’t ride with them. Why put yourself at risk? If they get hurt or get something hurt, it’s their fault. Just remember to never go on your phone while driving. Not only are you putting yourself at risk being hurt or even killed but putting everyone and everything else at risk by getting hurt or killed.

I hope this helped! :D

Answer:

Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.

Step-by-step explanation:

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

Family 1: ((270/2) + (12 x 2.5)) / 2.5

Family 1: (135 + 30) / 2.5

Family 1: 165 / 2.5

Family 1: 66 miles per hour

Family 2: (270/2) / 2.5

Family 2: 135 / 2.5

Family 2: 54 miles per hour

In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

So looking at family 1 we found that:

[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]

So looking at family 2  we found that:

[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]

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Answer:

there's no angle z theres only x but the answer for x is 133

Step-by-step explanation:

9514 1404 393

Answer:

  f⁻¹(x) = log(x)/log(16)

  g⁻¹(x) = (2^x -1)/3

Step-by-step explanation:

In each case, you want to solve ...

  x = f(y)

__

a. x = 4^(2y)

  log(x) = 2y·log(4) . . . . . . . . take logs

  y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y

  f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)

__

b. x = g(y)

  x = log(3y +1)/log(2) . . . . use the change of base relation

  x·log(2) = log(3y +1) . . . . multiply by log(2)

  2^x = 3y +1 . . . . . . . . . . . take antilogs

  2^x -1 = 3y . . . . . . . . . . . subtract 1

  y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y

  g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2

Answer:

$3042.20

Step-by-step explanation:

2870 increase 6% =

2870 × (1 + 6%) = 2870 × (1 + 0.06) = 3042.2

Answer:

3042.20

Step-by-step explanation:

100%-> 2870

106%->

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

Answer:

I think it might be the third one

Step-by-step explanation:

not totally sure tho

Answer:

I think you are correct.

Step-by-step explanation:

Sorry if I am wrong

Answer:

240

Step-by-step explanation:

12 x 8 x 2.5 = 240

Answer:

x=-4.5

Step-by-step explanation:

add 5 on both sides -2x=9

divide but -2 on both sides

x=-4.5

CHECK YOUR ANSWER

plug in x -2(-4.5)-5=4

9-5=4

Answer:

The answer is n+4. Hope this helps:)