Answer: nickels = 14, dimes = 42, quarters = 18
<u>Step-by-step explanation:</u>
Let n represent nickels <em>which has a value of $0.05 </em>
Let d represent dimes <em>which has a value of $0.10</em>
Let q represent quarters <em>which has a value of $0.25</em>
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 <em>multiplied by 100 </em>
5n + 30n + 25n + 100 = 940 <em>distributed</em>
60n + 100 = 940 <em>added like terms</em>
60n = 840 <em>subtracted 100</em>
n = 14 <em>divided by 60</em>
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
1:
3*3=8 ;
8*3=23
23*3=68
68*3=204
1.3,8,23,68,204 ...
2.
2*3=6
6*3=18
18*3=54
2, 6,18,54
multiply all on 3)
(3y+40)+(3x-70)=180
3y+3x-30=180
3y+3x=210
3(y+x)=210
y+x=70
x=70-y
meanwhile 180-120=x therefore x=60
therefore
60=70-y y=10
so x=60 y=10
(-x-2) (x-4) are the factor of this equation
The volume of <span>a right square pyramid is
, where </span><span>
is basis area.
</span>
If the lengths of the sides of the base remain fixed and height
<span>is multiplied by a factor 10, than new height is
and the volume is
</span>
