Answer:
Shane could have collected more than 911 Cans
Step-by-step explanation:
We are asked to write an inequality to find the number of cans, S that Shane could have collected:
Cans collected by Shane and Abha > 2000
S + A > 2000
Abha collected 178 more cans than Shane did.
A = 178 + S
Put value of A in the above inequality
S + 178 + S > 2000
2S + 178 > 2000
2S > 2000 - 178
2S > 1822
S > 911
To solve correctly, graph both inequalities. The solution is where they overlap. <em>See attachment for graph. </em>Which coordinate is plotted in the overlapping section?
If you don't have the tools to graph them, then plug each coordinate into both inequalities. The coordinate that makes a true statement for BOTH inequalities, is the answer.
(0, 4): 4 > -2 TRUE 0 + 4 < 4 FALSE
(-3, 5): 5 > -2 TRUE -3 + 5 < 4 TRUE THIS IS THE ANSWER!
(1, 4): 4 > -2 TRUE 1 + 4 < 4 FALSE
(-2, -3): -3 > -2 FALSE
Answer: (-3, 5)
The best method would be to cross-multiply. Multiply the figure on the top left with the bottom right. Then set it equal to the multiplication of the bottom left with the top right.
This would turn into:
-1(x-1)=2(x+3) Then distribute the multiplication through the parentheses.
-x+1=2x+6 Next, get all the variables on one side, and the integers on another.
2x+x=1-6
3x= -5
x= -5/3
Answer:
a=4
Step-by-step explanation:
8x-8+3ax=5ax-2a
Get all the terms with a on the right side
Subtract 3ax from each side
8x-8+3ax-3ax=5ax-3ax-2a
8x-8 = 2ax -2a
Factor out an 8 on the left and 2a on the right
8(x-1) = 2a*(x-1)
Divide by (x-1) on both sides
8(x-1)/(x-1) = 2a*(x-1)/(x-1)
8 = 2a
Divide by 2
8/2 =2a/2
4 =a
