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Triangle AB? Isn't a triangle supposed to have 3 points??

Are you sure @Guest? I probably made a mistake!

Hello! Y = 5X+11 unless there is another equation I'm missing.

Hello! What is your question? If it's to solve for x, the answer is 0 or 3.

Hello! sin(pi/3) = sin(60°) = \(\boxed{\sqrt{\frac{3}{2}}}\)

Wrong, the answer is 5/8 = 0.625.

Hello! The answer would be 15.5 because 30/2 = 15 and 32/2 = 16.

Make an equation system

Let Grogg's current age = x

Let Grogg's dad's current age = y

8(x-7) = y-7

5(x-3) = y-3

subtract equations from each other

8(x-7) - 5(x-3) = -4

solve for x

8x-56 - 5x+15 = -4

3x = 37

x = 37/3

plug in for y

8(37/3-7) = y-7

y = 149/3

Make an equation

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 21*4(x+6)

(i'm assuming that when you say 21*4 you mean multiplication, but I'm a bit confused because no one writes problems like that and this does not give interger solutions) 

Solving gives: 

7x + 21 = 84x + 504

77x = -483

x = -483/77 ???

There must be a mistype in the problem or there is something wrong in my work, but there are no interger solutions for x. 

if 21*4 were to refer to 4 then the solution would be x = 1, solving the same way. 

Make an equation system

Let Grogg's current age = x

Let Grogg's dad's current age = y

8(x-7) = y-7

5(x-3) = y-3

subtract equations from each other

8(x-7) - 5(x-3) = -4

solve for x

8x-56 - 5x+15 = -4

3x = 37

x = 37/3

plug in for y

8(37/3-7) = y-7

y = 149/3

Find unit cost per inch 

48 cents / 12 inches =   4 cents/ inch

now for 39 inches 

     39 inches * 4 cents/ inch = 156 cents     ( $ 1.56) 

t = 2   hrs 

A = 145 - 25 = 120

Te =  25 

T(t) = 70 =  120 e^(k *2) + 25     solve for k = - . 49041

T(t) = 120 e^(- .49041 t )   + 25 

  40 = 120 e^(-.49041 t) + 25          solve  for t = 4. 24 hours 

( Let me know if this is incoorrect and I will re-evaluate) 

g = grogg now     d = dad 

(g-7)  * 8   = (d-7)        8g - 56 = d-7         8g =  d + 49    <======given

(g-3) *5  = d- 3          5g-15 = d-3             5g = d + 12             Subtract bottom equation from top 

                                                                  3g = 37 

                                                                     g = 12 1/3   y/o         then   d  = 8g - 49 =  49 2/3 y/o   <====dad's age now 

a + ab = 250

a - ab = -240

Method 1: 

Add the two equations so that the ab's cancel out to get: 

2a = 10

so a = 5

Plug into equations to check: 

5 + 5b = 250

1 + b = 50

b = 49 

5 - 5b = -240

1 - b = -48

b = 49

In both cases, b remains the same, therefore 5 works as an answer

Method 2: 

Graphing (💀💀💀)

(i was too lazy to graph by myself)

but yes, a = 5

Firstly add 111 to every number on the list so that the list becomes 544, 540, 536, ... , 8, 4. Then divide everything by 4 to get 136, 135, 134, ... , 1. 

This list becomes 1, 2, 3, 4, ... , 135, 136. So, there are 136 numbers in this list. 

D==Dad,    G=Grogg

[D - 7] ==8[G - 7]

[D - 3] ==5[G - 3], solve for D, G

D==49 + 2/3 years old ==49 years old

G==12  + 1/3 years old ==12 years old.

P.S. In questions of this nature, there shouldn't be "fractions of a year"

Your answer does not make sense because grog's dads age has to be in betweeen 45 and 50 because:

if Grog is 5 years old seven years ago: his dad would be 40 years old

and three years ago, grogg is 9 years old, so his dad would be 45 years old

if Grog is 6 years old seven years ago: his dad would be 48 years old

and three years ago, grogg is 10 years old, so his dad would be 50 years old

since the difference in grogs and his dad's age has to be the same

grog's dad age is between 45 and 50 years

I'll let you try again from there so you can see if you can fix your mistake!

Hello! 

Edit: I accidently posted this bc i thought i knew the answer but im not sure and i couldn't delete this post

Let Grogg's age be g and Grogg's dad's age be d. We can set up the following system of equations to represent the information given in the problem:

7 years ago: d - 7 = 8(g - 7) 3 years ago: d - 3 = 5(g - 3)

We can solve this system of equations by first solving for g in the first equation and then substituting that value into the second equation to solve for d.

Solving for g in the first equation, we get:

g = (d - 7) / 8 + 7

Substituting this value into the second equation, we get:

d - 3 = 5((d - 7) / 8 + 3)

Simplifying, we get:

d - 3 = (5d - 35) / 8 + 15

Solving for d, we get:

d = 40

Therefore, Grogg's dad is currently 40 years old.

The only possible values of a is 5.

To solve this problem, we can add the two equations together to get:

2a = 10

a = 5

We can then substitute this value of a into either equation to solve for b. If we substitute it into the first equation, we get:

5 + 5b = 250b

5b = 245

b = 49

Therefore, the only possible value of a is 5.

Grogg's dad is currently 25 years old.

The system of equations has an infinite solution when there are infinitely many pairs of values for a and b that satisfy both equations. To find the values of k and m that satisfy this condition, we can use the following steps:

Solve the first equation for a:

a = (2 - 2b) / 3

Substitute this expression for a into the second equation:

6 * ((2 - 2b) / 3) + 2b = k - 3 * ((2 - 2b) / 3) - mb

4 - 4b + 2b = k - 2 - mb

2 = k - mb

Now we have a single equation with two unknowns, k and m. We can solve this equation for k by letting b = 0. When b = 0, we get k = 2. Therefore, the values of k and m that satisfy the condition for an infinite solution are k = 2 and m = 0.