Answer:
1/2p=24
p=48
19+t=23
t=4
Step-by-step explanation:
first one
multiply both sides by two. and then there is your answer. it will get rid of the denominator.
second one.
subract 19. isolates the variable.
The answer is a. (2, -3).
Use the Euclidean algorithm to express 1 as a linear combination of
and
.
a.
because
77 = 1*52 + 25
52 = 2*25 + 2
25 = 12*2 + 1
so we can write
1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52
Taken modulo 77 leaves us with

b. First,
, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:
1 = 25*25 - 12*52
Taken modulo 52, we're left with

c. The EA gives
71 = 1*53 + 18
53 = 2*18 + 17
18 = 1*17 + 1
so we get
1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53
so that taken module 71, we find

d. Same process as with (b). First we have
, and we've already shown that
1 = 3*18 - 53
which means, taken modulo 53, that

Answer:
$3.50 - $4.49
Step-by-step explanation:
$3.50 rounds up to $4 and $3.49 would round down to $3
$4.49 would round down to $4 and $4.50 would round up to $5
Answer:
168 milliliters
Step-by-step explanation:
Since roses need 14 times as much water as irises and we are given the water irises need, you multiply them together.