<span><em>12 pennies, 3 nickles, and 2 dimes</em>
p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
p(1) + n(5) + d(10) = 47
4n(1) +n(5) + (17-5n)(10) = 47
9n + 170 - 50n = 47
-41n + 170 = 47
Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
Answer:
1)(2m^2-4m)/2(m-2) = m (fourth blank)
2)m^2-2m+1/m-1= m-1 (second blank)
3)m^2-3m+2/m^2-m= (m-2)/m (first blank)
4)m^2-m-2/m^2-1=(m-2)/(m-1) (third blank)
Step-by-step explanation:
1)
(2m^2-4m)/2(m-2)
=[2m(m-2m)]/2(m-2)
= 2m/2
=m
2)
m^2-2m+1/m-1
= (m-1)^2/(m-1)
=(m-1)(m-1)/(m-1)
=(m-1)
3)
m^2-3m+2/m^2-m
=m^2-m-2m+2/m(m-1)
=m(m-1)-2(m-1)/m(m-1)
= (m-1)(m-2)/m(m-1)
=(m-2)/m
4)
m^2-m-2/m^2-1
=m^2+m-2m-2/(m+1)(m-1)
=m(m+1)-2(m+1)/(m+1)(m-1)
=(m+1)(m-2)/m+1)(m-1)
=(m-2)/(m-1) !
Answer:
x= 942.22
Step-by-step explanation:
.9x-18=830
.9x=848
x=942.222222222
which will be x= 942.22
Answer:
180/60
1 hour is 60 min and 3 times 60 is 180.
So it’s 180/60
Also 180/60 is 3
Step-by-step explanation:
Answer:
D) 2/3
Step-by-step explanation:
Constant of proportionality formula:
k = y/x
8/12 = 2/3
10/15 = 2/3
12/18 = 2/3
14/21 = 2/3
