Let's say the length is L, and the width is W
L is one foot more than 2W, so L=1+2W
the area of the rectangle: A=L*W=300
replace L with 1+2W: (1+2W)*W=300 =>2W^2+W-300=0
solve the quadratic equation: (W-12)(2W+25)=0
W=12 or W=-12.5 (impossible)
so the width is 12, and the length is L=1+2*12=25
please refer to this website for how to factor a quadratic equation
http://www.purplemath.com/modules/factquad.htm
Answer:
marcia must have sold at least 22 chocolate cones.
Step-by-step explanation:
Jan sold a total of 65 cones (20+15+30). Tomas sold a total of 68 cones (20+18+30).
If Marcia sold more cones than Jan or Tomas, she had to have sold more than 68 cones in total. 30+17 = 47. I subtracted 68-47, to see how many chocolate cones she should have sold to match the number of cones Tomas sold, which is 21 chocolate cones. Therefore, to surpass Tomas in the total number of cones sold, she had to have sold at least 22 chocolate cones.
Answer:
P
Step-by-step explanation:
0.03x+0.035 (5000-x)=155
Solve for x
X=4000 invested at 3%
5000-4000=1000 invested at 3.5%
Answer:
10 5/12
When the numerator is larger than the denominator, we take groups of whole fractions (The numerator and denominator are equal) and add 1 to the whole number for each group. Whatever remains when we no longer have the numerator larger than the denominator is left as a fraction.
Step-by-step explanation:
6 3/4 + 3 2/3
We need to get a common denominator
The common denominator is 12
We need to rename the fractional parts to out of 12
6 3/4 = 6 3/4*3/3 = 6 9/12
3 2/3 = 3 2/3*4/4 = 3 8/12
6 9/12+ 3 8/12
9 17/12
But the numerator is larger than the denominator
We take 12/12 from the fraction and add it to the whole number
9 17/12-12/12 +1
9+1 5/12
10 5/12
