The two numbers I will call x and y.
x + y = 31
x * y = 150
You then solve for one variable in either equation and substitute it into the other equation.
x + y = 31
x = 31 - y
Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0 Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0 y - 25 = 0
y = 6 y = 25
When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
Jim has 27.5 minutes left to get to the airport.
Answer:
(a) = 0.32 or 8/25
(b) = 0.48 or 12/25
(c) = 4 Boards
Step-by-step explanation:
(a):
0.8 x 2/5
8/10 x 4/10
(8 x 4) / (10 x 10)
(32) / (100)
0.32 or 8/25
(b):
0.8 x 3/5
8/10 x 6/10
(8 x 6) / (10 x 10)
(48) / (100)
0.48 or 12/25
(c):
0.8 x 5
8/10 x 50/10
(8 x 50) / (10 x 10)
(400) / (100)
4 Boards
answer
system : 8L+ 4S = 120
L + S = 20
There are 10 small packs and 10 large packs
step by step answer :
to form the two systems, we have to determine the catagories of the 2 equations : one for money and one for the no of packs
after forming the two equations we simply put the numbers in the same order put above on the calculator ( mode 5:1) and the calaculator will answer it in seconds . 10 small packs and 10 large packs.
To check your answer , substitute the letters with their values and if both equations gave you the same value at the end then your answer is correct!
