Here is the inequality you can enumerate:
5x >= 200, this means the money you sold for cakes must be larger or equal to your goal
x <= 100, this means you cannot sell more than 100 cakes, because you only have 100 cakes
Solve for them, you will get: 40 <= x <= 100
Answer:
2/25
we need to divide the amount of cinnamon with in the 25 servings to see how much each serving contains
1) distribute 2 tbs into 25 serving
2)equation will be 2/25
3)answer should be 2/25
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
Answer:
187.06 units²
Step-by-step explanation:
Area of kite:
½ × d1 × d2
½d1 = 18sin(30)
½d1 = 9
d1 = 18
d2 = 9/tan(60) + 18cos(30)
= 12sqrt(3)
Area = ½ × 18 × 12sqrt(3)
108sqrt(3) units²
187.0614872 units²