Answer:
C:2 gallons per minute
Step-by-step explanation:
Answer:
86°
Step-by-step explanation:
b = 29× 2 = 58
d= [180-(86+29)]×2 = 130
a=c=x
a+b+c+d = 360
2x+188= 360
2x= 172
x= 86
a = c = 86°
Answer:
y=x+5.99
Step-by-step explanation:
A poster and 2 comics cost $7.99
(2,7.99)
A poster and 11 comics cost $16.99.
(11,16.99)
Let y be the cost of package and x be the no. of comics
We will use two point slope form :
(x1,y1) = (2,7.99)
(x2,y2) = (11,16.99)
Formula :
y-y1 = y2-y1/x2-x1(x-x1)
Substitute the values:
Hence a linear function rule that models the cost y of a package containing any number x of comic books is y=x+5.99
Answer:
Step-by-step explanation:
Given: ; find x and y.
Let's start with finding x first. Let's distribute the left side of the equation.
Let's move everything we can to the left side of the equation. Some things will cancel out.
Now, let's move the term that includes to the left side of the equation. Everything else should be moved to the right.
Let's get rid of the negative sign in front of by dividing both sides by -1.
To get completely isolated, divide both sides by .
Simplify.
Let's solve for y. We will start with the distributed and simplified equation to make it easier.
Now, let's move the term that includes to the left side of the equation. Everything else should be moved to the right.
Again, let's get rid of the negative sign in front of the by dividing both sides by -1.
To isolate y, divide both sides by z.
Simplify.
Hi there
So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.
Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:
total distance = 24 Lap (1 mi / 8 Lap) total distance = 24/8 total distance = 3