Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
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b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
If she has 32 miles to the gallon, and 20 dollars, then 5*32 gives you your final answer, which is 160.
Answer:
(B) 4y = 3x-2
Step-by-step explanation:
Divide by the coefficient of y to see the slope. It will be the resulting coefficient of x. Only choices B and D match requirements.
Check to see which equation is satisfied by the given point:
B: 4(1) = 3(2) -2 . . . . true
D: 4(1) = 3(2) +5 . . . .false
The appropriate equation is ...
4y = 3x-2
Answer:
E. 18 children are buying their lunches
F. Rock must pay $50 each month
Step-by-step explanation:
E.
To find a percentage you multiply the number by the percentage;
60 x 70%(0.70) = 42 children brought their lunches
But we need the amount <u>buying</u> their lunches so we would subtract 60 by 42;
60 - 42 = 18 buying their lunches
F.
Again, to find the percentage we multiply it by the original;
$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa
Now we need to find how much Rock still needs to pay for the sofa;
$800 - $200 = $600 more needed to pay for the sofa
Lastly, we must find how much Rock will need to pay <u>each month</u> to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;
$600 / 12 = $50 needs to be paid each month for a year
