∆ABD is right angled hence area:-
There is only one option containing 6x^2 i.e Option D.
Hence without calculating further
Option D is correct
Answer:
the minimum length of the first piece is 4 feet
Answer:
x = 4 - 1 = 3
Step-by-step explanation:
2(4 - y) + 3y = 9
8 - 2y + 3y =9
8 + y = 9
y = 1
How many of each color bottle and how many colors
Answer:
18 Skittles
6 M&Ms
Step-by-step explanation:
Set up an equation:
Variable x = number of skittles
Variable y = number of M&Ms
1.50x + 2y = 39
x + y = 24
In the second equation, isolate a variable:
x = 24 - y
Substitute the value of x for 24 - y in the first equation:
1.50(24 - y) + 2y = 39
Use distributive property
36 - 1.5y + 2y = 39
Combine like terms
36 + 0.5y = 39
Isolate variable y:
0.5y = 3
y = 6
Substitute the value of y for 6 in the second equation:
x + 6 = 24
Isolate variable x:
x = 18
Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):
1.50(18) + 2(6) = 39
27 + 12 = 39
39 = 39
Correct
x + y = 24
18 + 6 = 24
24 = 24
Correct
