1/2 as a decimal is .5 ( it means .50) hoped it helped
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Answer: Infinite solutions
Step 1: Turn this into y=Mx+b form
The current equation is—
-2x+5y=30
Since we want to get y alone on the left side, let’s add 2x on both sides
-2x+5y=30
+2x +2x
____________
5y=2x+30
Step 2: Again, trying to get y alone, we need to divide 5 on both sides
5y=2x+30
/5 /5 /5
________
y=2/5x+6
Step 3: Now that we know how to find y, substitute that in where y is in the equation
-2x + 5(2/5x+6) = 30
-2x + 2x + 30 = 30
30=30
Seeing that you cannot get a specific answer for y when solving, there is an infinite number of solutions
Hope this is right and it helps comment below for more questions :)
Answer:
1 and 1/4 cups of floour is used to make one pie. Since 7 and 1/2 cups is used for 6 pies we divide the 7 and 1/2 cups by the 6 pies. 7 and 1/2 cups is equivalent to 15/ 2 cups. 15/2 divided by 6 is equal to 15/2 times 1/6. This comes out to 15/12, which simplifies to 5/4, which is equivalent to 1 and 1/4 cups
Answer:
x must equal 0 or - 10
and y must equal 1 or 6
so its 3 x 0 = 0 plus 6 x 1 = 6
or 3 x -10 = -30 plus 6 x 6 = 36 so -30 plus 36 is 6
Step-by-step explanation:
