X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.
Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
Answer:
d
Step-by-step explanation:
There are many different ratios that are equivalent to 1:6. The way to get an equivalent ratio is to multiple the same integer by the numerator and denominator. So if you multiplied the top and bottom by 2, the ratio would not be 2:12, which is equivalent to 1:6.
Here is the answer to the given problem. So, what Christina wants to find out is the sum of the length after 10 throws given that in each throw, it retracts 70% of the original length. So to continue the given data, here are the results:
4: 1.029
5: 0.7203
6: 0.50421
7: 0.352947
8: 0.2470629
9: 0.17294403
10: 0.12106082
Since she wants to find the sum of the length after 10 throws, we are just going to add the lengths above. So the answer would be this: 9.71752475. To round this off to the nearest hundredth, the answer would be 9.72. Hope this helps.
