you go to Frontier City with your parents, brother and sister. The cost for adults is $12.50, and the cost for children is $8.00. Write an expression of the cost for the adults. Write an expression for the cost for the children. Now write an expression of the total cost for adults and children. Evaluate your expression using order of operations.

Answer:

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

Perpendicular line, [tex]y=4-\frac{2x}{3}[/tex]

Step-by-step explanation:

For the parallel line, In the equation y=mx+c, we are trying to find c.

We know that m=[tex]\frac{3}{2}[/tex], so

we have the equation y=[tex]\frac{3x}{2} +c[/tex]

So we substitute the points we are given (3,2) into

[tex]2=\frac{3}{2}*3+c\\Thus, c= \frac{-5}{2}[/tex]

The final equation we get is

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

For the perpendicular line, we need to find the inverse of the slope.

The inverse of the slope [tex]\frac{3}{2} = -\frac{2}{3}[/tex]

So, we use this in our formula and also plug in the same coordinates we were given.

Therefore, we get:

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

Answer:

Im sorry idrk

Step-by-step explanation:

Answer:

Your answer would be 1/2

Step-by-step explanation:

Answer:

8. slope=1/4

y-intercept=2

9. slope=-4

y-intercept=5

10. slope=-5/2

y-intercept=1

Step-by-step explanation:

68 miles per hour.

Simply divide the total number of miles by the time it took in a decimal format.

6 1/4 hours=6.25

425/6.25=68

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

Let's define:

The information is:

"Janet worked 3 hours more than David and 7 hours less than Kate"

From this we can write:

J = D + 3

J = K - 7

We know that:

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

If you want to learn more, you can read:

https://brainly.com/question/9351049

Answer:

x=-1

Step-by-step explanation:

A line perpendicular to y=5 is a vertical line

y =5 is a horiztonal line so  perpendicular line is  x= constant

The x value of (-1,2) is x = -1

So the line is x=-1

Answer:

8 sq. un.

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

Bring the like term together.

16 - 9 = 5t + 2t

7 = 7t

t = 1

Answer:

t=1

Refer to the attachment

hope it helps

Answer:

8 I think so 60 and ..

9. I think 5

Answer:

I got x <= 8/7 which is none of the answer options given. Ask your professor about that.

Step-by-step explanation:

7x-1 <= 7

add 1 on each side

7x <= 8

Divide by 7 on both sides

7x/7 <= 8/7

Final answer

x <= 8/7

Answer:

Option #1, 3 and 4

Step-by-step explanation:

7x - 1 <= 7

Let's try them one by one:

1)

x <= -1

-7 - 1 = -8 is less than or equal to 7: True

There could be multiple answers, so let's do the other ones:

2)

x <= 4

28 - 1 = 27 <= 7: False

3)

x <= 1

7 - 1 = 6 <= 7: True

4)

x >= -1

-7 - 1 <= 7

-8 <= 7: True

Therefore, #1, 3, and 4 are correct.

Hope this helped!

Answer:

7 x 10^-7

Step-by-step explanation:

If you use scientific notation,

move the decimal 7 places to the right to find a whole number between 1 and 9.

then, count the number of spaces.

in this instance, since the original number was a decimal, you need to put a negative power of 10.

hope this helps :)

please crown me brainliest!!!

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

-2k + 6

Step-by-step explanation:

Answer:

your answer is attached above

hope it helps

plz mark me as brainliest

have a great day ahead

Answer:

58,60,62...

Step-by-step explanation:

Formula: Sn=n/2(2a+(n-1)d)

Sn=2, a=1, d=56

> S2=2/2(2(1)+(2-1)56)

> S2=1(2+56)

> S2=1(58)

> S2=58

58+2=60

60+2=62

Answer:

Line "L" has the slope of 1 and line "K" has the slope of 2.

In order to graph a line with the slope of [tex]\frac{1}{3}[/tex] think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)

Step-by-step explanation:

A slope of "1" is simply [tex]\frac{1}{1}[/tex] so you rise up one and move to the right once. This clearly demonstrated on line "L".

A slope of "2" is [tex]\frac{2}{1}[/tex] so you rise up two and move to the right once, as is demonstrated on line "K".

For the 2nd question, line "A" will have a slope of [tex]\frac{1}{3}[/tex] therefore it will move up once and then to the side three times. It will look like the image attached to this answer.

I hope this helped! Feel free to ask questions if needed!

Answer:

sorry talaga kaipangan koren ng point kasi mag a ask din ako sorry sa sagot ko:)

Hello there! :)

The Distributive property states:

a(b+c)=ab+ac

So, we know what a is. It's 5.

b=3

c=0.4

5(3+0.4)

5*3+5*0.4

15+0.2

15.2

Hope it helps!

[tex]GraceRosalia[/tex]

Answer:

C

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

i want to help you but im not sure to my answer

Answer:

Step-by-step explanation:

What is that pose to mean

Answer:

$0.60 (rounded)

Step-by-step explanation:

3.59 divided by 6 is 0.5983

If you round that to the nearest cent, you get $0.60

Answer:

Step-by-step explanation:

(-4)(-4)^4 = (-4)^(1+4) = (-4)^5

answer is B

Answer:

I think W or Z but not really sure so

Answer: W

Step-by-step explanation:

Answer:

128561214

Step-by-step explanation:

Hope it helped you (5126789+123434425)=128561214

Answer:

Step-by-step explanation:

150 giri