Hey! So this is pretty straightforward. You're given all the information already and now you just have to do some calculations.
60 + 30w = 480
You can start by subtracting 60 from both sides
30w = 420
Now you need to get w by itself so you have to divide both sides by 30 and you will end up getting
w = 14!
It will take him 14 weeks to save up
a writer will use a for the informal language
Answer:
x=35
Step-by-step explanation:
62+2x+(x+13)=180
62+2x+x+13=180
3x+75=180
3x=180-75
3x=105
x=35
Answer:
12t -3 = 18t
Step-by-step explanation:
Let
d = your friends distance in miles
t = time in hrs
Your equation:
d - 3 = 18t (1)
Because you are 3 miles behind your friend
Your Friend's equation:
d = 12t (2)
To find the amount of time t it takes for you to catch up with your friend,
Substitute (2) into (1)
d - 3 = 18t
12t - 3 = 18t
Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t
Solving the equation
12t - 3 = 18t
Collect like terms
12t - 18t = 3
-6t = 3
t = 3/-6
= -0.5
t = 1/2 hour
Time can not be negative, therefore it will take 1/2 an hour to catch up with your friend
<span>First, we write an equation to represent that the fencing lengths add up to 568 feet. we call the side of the fence that has three segments of its length x and the side with only two segments y. We write 3x + 2y = 568. We also know that the area of the rectangle is equal to xy, so area = xy. We put y in terms of x using our first equation and find that y = (568 - 3x)/2. We plug this into our area equation and find that area = (568x - 3x^2)/2. To find the maximum we set the derivative equal to 0 and end up with 0 = 284 - 3x. We solve for x and get 94 and 2/3. We then put that into our first equation to find y = 142. So the dimensions that maximize the area are 94 2/3 x 142.</span>
