Y = mx + b is the format for this equation, where <em>m</em> is the slope and <em>b</em> is the y-intercept. with that information, (-1) would be your slope, taking the assumed coefficient of 1 from the x, and the y-intercept is 5.
<h3>
Answer: 6</h3>
Work Shown:
He eats ten 12-calorie crackers, so that is 10*12 = 120 calories total
If x is the number of 20-calorie cookies, then the total number of calories here is 20x. We want this to be 120, so,
20x = 120
x = 120/20 .... divide both sides by 20
x = 6
He must eat six 20-calorie cookies to get 120 calories total
5/4 : 5/6
= 5/4 * 6/5
= 1/4 * 6/1
= 1/2 * 3/1
= 3/2 = 1 1/2 = 1.5 gallons
Answer:
30.3m^2
Step-by-step explanation:
I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.
Next I broke apart the the shape into a rectangle and a triangle for simplicity sake. So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.
The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.
Finally you add up all three area's that you found 8+16+6.3=30.3
A) 1 mile every 6 minutes
B) 1 mile every 7 minutes
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42 minutes total is when they will catch up to each other.
A) will have run 7 miles in 42 minutes
B) will have run 6 miles in 42 minutes
