Answer:
7/16
Step-by-step explanation:
please don't ask for clarification because I will not provide it sorry have a nice day♀️
1350. Step-by-step explanation: 460 multiplied by 3.
4 socks equal 1 pair of jeans
2 pairs of jeans equal 3 pairs of shoes
6 pairs of shoes equal 1 coat
Since 1 pair of jeans equals 4 socks, 2 jeans amount to 8 socks.
That means 8 socks correspond to 3 shoes.
If 3 shoes equal 8 socks, then 6 shoes would equal 16 socks.
Therefore, 16 socks are equivalent to 1 coat.
By this logic, 64 socks would translate to 64 divided by 16, which equals 4 coats.
There are 0.015 kilograms in 15 grams. Since each can weighs 0.015 kg and the payment rate is 50p per kilogram, 0.015 multiplied by 66 amounts to 1 kilogram! Therefore, 66 cans are needed to generate one kilogram. As a result, earning £15 would mean that with 2 kg equating to one dollar, then 15 multiplied by 2 equals 30. Consequently, 66 times 30 gives 1980!
66 relates to each kilogram, and 30 indicates how many 50p are required for one dollar!
Thus, to obtain £15, Adam has to recycle a total of 1980 cans!
(a) The multiplicative inverse of 1234 (mod 4321) is x so that 1234*x ≡ 1 (mod 4321). We can apply Euclid's algorithm:
4321 = 1234 * 3 + 619
1234 = 619 * 1 + 615
619 = 615 * 1 + 4
615 = 4 * 153 + 3
4 = 3 * 1 + 1
Now we will express 1 as a linear combination of 4321 and 1234:
1 = 4 - 3
1 = 4 - (615 - 4 * 153) = 4 * 154 - 615
1 = 619 * 154 - 155 * (1234 - 619) = 619 * 309 - 155 * 1234
1 = (4321 - 1234 * 3) * 309 - 155 * 1234 = 4321 * 309 - 1082 * 1234
This reduces to
1 ≡ -1082 * 1234 (mod 4321)
Thus, the inverse is
-1082 ≡ 3239 (mod 4321)
(b) Since both 24140 and 40902 are even, their GCD cannot equal 1, indicating no inverse exists.
