Answer: -72/35
Step-by-step explanation:
B the baker makes no cookies when he has no flour. Simply because he doesn't have the ingredients to make the cookies.
Hi there!
So, let’s start with the rectangles. You would multiply 4(2 ft x 3 ft) since length x width = area (for rectangles). You multiply by 4 because there are 4 rectangles mentioned, and each have the same 2 ft x 3 ft measurements.
Next, you multiply 2(2 ft x 2 ft), or 2 to the exponent of 3, i.e., 2^3. 2 ft x 2 ft are the measurements of the sides of the squares, and as you probably know, side x side OR side^2 = area (for squares). Again, you multiply the original 2 ft x 2ft area by 2 because there are 2 squares mentioned with the same 2 ft x 2 ft measurements.
Finally, you add 4(2 ft x 3 ft) and 2(2 ft x 2 ft) together to equal the total area of plywood purchased, or the total amount of square feet of plywood he is purchasing in all.
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
Answer:
![\left\{\begin{array}{l}y\le 4x\\y\ge 50\\25x+15y\ge 1975\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%5Cle%204x%5C%5Cy%5Cge%2050%5C%5C25x%2B15y%5Cge%201975%5Cend%7Barray%7D%5Cright.)
Step-by-step explanation:
Let x represent the number of lawns mowed and y represent the number of cars washed.
1. Since the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow, you have that
.
2. Beth will wash at least 50 cars, then ![y\ge 50.](https://tex.z-dn.net/?f=y%5Cge%2050.)
3. Mike charges $25 each time he mows a yard, then he earns $25x for mowing x yards. Beth charges $15 for each car she washes, then she earns $15y for y cars washed. They need at least $1975, so
![25x+15y\ge 1975.](https://tex.z-dn.net/?f=25x%2B15y%5Cge%201975.)
4. A set of constraints to model the problem is
![\left\{\begin{array}{l}y\le 4x\\y\ge 50\\25x+15y\ge 1975\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%5Cle%204x%5C%5Cy%5Cge%2050%5C%5C25x%2B15y%5Cge%201975%5Cend%7Barray%7D%5Cright.)