Since you know that when x = 2, y = 8, when you replace x with xb:
<span>8=(xb<span>)3</span></span>
x has been replaced by xb, so xb must equal 2
and then substituting in 0.5 for x, you can solve for b
<span><span>0.5b=2</span></span>
Answer:
$38.31
Step-by-step explanation:
Given:
Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.
Question asked:
How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Solution:
At cost $24.35/ounce, pure silver is mixed = $33.48
At cost $1/ounce, pure silver is mixed =
At cost $27.87/ounce, pure silver is mixed =
Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.
Answer:
GCD(343,550) = 1
LCM(343,550) = 188650
GCD(89,110) = 1
LCM(89,110) = 9790
GCD(870,222) = 6
LCM(870,222) = 32190
Step-by-step explanation:
a) GCD(343,550)
343 - 550 | 1
...
There are no values for which both 343 and 550 are divisible by, so GCD(343,550)=1.
LCM(343,550)
343 - 550 | 2
343 - 275 | 5
343 - 55 | 5
343 - 11 | 7
49- 11 | 7
7 - 11 | 7
1 - 11 | 11
1 - 1
So LCM(343,550) = 2*5*5*7*7*7*11 = 188650
b) GCD(89,110)
Again, as in a), there are no values for which 89 and 110 are divisible by. So GCD(89,110) = 1.
LCM(89,110)
89 - 110 | 2
89 - 55 | 5
89 - 11 | 11
89 - 1 | 89
1 - 1
So LCM(89,110) = 2*5*11*89 = 9790
c) GCD(870,222)
870 - 222 | 2
435 - 111 | 3
145 - 37
There are no numbers for which 145 and 37 are both divisible by, so the algorithm ends there, and GCD(870,222) = 2*3 = 6
LCM(870,222)
870 - 222 | 2
435 - 111 | 3
145 - 37 | 5
29 - 37 | 29
1 - 37 | 37
1 - 1
So LCM(870,222) = 2*3*5*29*37 = 32190
Answer:
The 3rd one, which has a y-intercept of (0,1) and has a point at (2,2)
Step-by-step explanation: