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devlian [24]
2 years ago
9

A boy has twice as many nickels as he has pennies, and he has 5 less dimes than nickels. If he has $4.46 in all, how many coins

of each kind does he have?
Mathematics
1 answer:
Zarrin [17]2 years ago
7 0
N=2p
n/2=p

n-5=d

10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32

subsitute back

n/2=p
32/2=16=p


n-5=d
32-5=d=27


27 dimes
16 pennies
32 nickles
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iren2701 [21]

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

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\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}

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\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}

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