D=dimes
n=niclkes
p=pennies
q=quarters
1 dollar (100 cents)
2 times as many nickles as dimes
n=2d
14 more pennies than quarters
p+14=q
and total is 1 dollar so
25q+10d+5n+p=100
ok so we must use logic
the max number of quarters in a dolar is 4
but there are pennies so max is 3
so q=1,2, or 3
therefor p=15,16 or, 17
also, the rest of te coins are only multipules of 5 so the sum amount of pennies and quartes must add to a multiplule of 5
if q=1 and p=15, total is 40 cents
if q=2 and p=16, total is 66 cents
if q=3 and p=17, total is 92 cents
only 40 cents is a multiplule of 10
1 quarter and 15 pennies
now we are having
40 cents is pennies and quartesrs
therfor 100-40=60 cents is nickles and dimes
60=5n+10d
n=2d
sub
60=5(2d)+10d
60=10d+10d
60=20d
divide both sides by 20
3=d
sub
n=2d
n=2(3)
n=6
6 nickles
3 dimes
answer is
1 quarter
3 dimes
6 nickles
15 pennies
You can write it just as given:
... (time spent in video games)/(time spent in television) = (10 minutes)/(1 hour)
However, the intent is to end with a pure number (no units), so we need to convert hours to minutes or vice versa. Most folks know that 1 hour is 60 minutes, so that is probably the easier conversion.
... = (10 minutes)/(60 minutes)
... = 10/60 . . . . . . . . . the units in numerator and denominator are the same, so cancel
... = 1/6 . . . . . . . . . . . .the fraction is reduced in the usual way
The ratio in simplest form is 1/6.
Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.

<u>Plug in the volume and the radius.</u>

<u>Simplify</u>

h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
<u><em>#TeamTrees #PAW (Plant And Water)</em></u>
PS = PR+RS
PS = 18.8+13.7 = 32.5