Answer: 19 cupcakes and 37 cookies were sold.
Step-by-step explanation:
Let x represent the number of cupcakes that Jesse sold yesterday.
Let y represent the number of cookies that Jesse sold yesterday.
If he sold 56 cupcakes and cookies combined, it means that
x + y = 56
Each cupcake sold for $1.50 and each cookie sold for $0.25. At the end of the day, Jesse had sold $37.75 worth of cookies and cupcakes. This means that
1.5x + 0.25y = 37.75 - - - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
1.5(56 - y) + 0.25y = 37.75
84 - 1.5y + 0.25y = 37.75
- 1.5y + 0.25y = 37.75 - 84
- 1.25y = - 46.25
y = - 46.25/ - 1.25
y = 37
x = 56 - y = 56 - 37
x = 19
George's cost per day is
... c = 30 + 0.18m
We want c < 55, so we can write
... 30 + 0.18m < 55 . . . . . your inequality
_____
Here is the solution to the inequality
... 0.18m < 25
... m < 25/0.18
... m < 138.9
George must drive less than 138.9 miles that day.
<span>To find the beginning position, we need to know how many feet the climber has ascended in the 6-hour time frame. At the rate of 800 feet per hour, this would total to 4,800 feet in 6 hours (800 * 6). Subtracting this amount from the final position would give the elevation at the beginning of the ascent: (11600 - 4800) = 6,800 feet above sea level to begin.</span>
So the formula for this is for every inch of width, you multiply by 2 to get the length.
Here, I made a table for it.
2×2=4
4×2=8
7×2=14
8×2=16 or 16÷2=8
