Answer: 86
Step-by-step explanation:
N=number of nickels
d=number of dimes
q=number of quarters
example
if n:d=3:8
lets say n=3 and d=8
3*8=8*3
so
8n=3d
slightly confusing but go with it, it migh make sense or it might not
n:d=3:8
8n=3d
d:q=4:5
5d=4q
solve for one of them
solve for nickels in first and quarters in second
8n=3d, n=(3/8)d
5d=4q, (4/5)d=q
5n+10d+25q=690
divide by 5 to make it easeir
n+2d+4q=138
sub (3/8)d for n
sub (4/5)d for q
(3/8)d+2d+5(5/4)d=138
(3/8)d+2d+25/4d=138
3/8+2+25/4=
3/8+16/2+50/8=
69/8
(69/8)d=138
times both sides by 8
69d=1104
divide both sides by 69
d=16
16 dimes
sub back
(5/4)d=q
(5/4)16=q
80/4=q
20=q
(3/8)d=n
(3/8)16=n
48/8=n
6=n
6 nickles
16 dimes
20 quarters
yah
Answer:
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
Answer:c
Step-by-step explanation:
.
Answer:
first you have to find the number of ways 3 men can be chosen, then the number of ways 2 women can be chosen, and then you need to multiply these numbers together to get the number of ways because multiplication will show the total arrangements possibilities. use combination since order does not matter.
number ways for 2 out of 10 women total: 10 choose 2= 45
number of ways for 3 out of 9 men total: 9 choose 3= 84
84x45= 3780
3780 total ways
number of ways
