Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
----> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is given by
we know that
The radius of the cone is the same that the radius of the hemisphere
so
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
substitute the given values
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
assume
Answer:
x = 4
y = 11
Step-by-step explanation:
Set your formula as follow:
2x+3=3x-1 -> 2x+3-3x=-1 -> -x+3 = -1 -> -x=-4 -> x=4
now substitute x for 4 in the following
y-2=2(4)+1 -> y-2=8+1 ->y-2 = 9y -> y=11
Answer:
6 * p ≤ 30
p ≤ 5
The maximum number of pies she can buy is 5
Step-by-step explanation:
Let p equal the number of pies she will buy
Each pie costs 6 dollars. She will spend 6 * p
The cost must be less than or equal to 30 dollars
6 * p ≤ 30
To solve divide each side by 6
6 * p/6 ≤ 30/6
p ≤ 5
Answer:
The correct answer is - 900
Step-by-step explanation:
A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.
An n-digit palindrome is determined from the first n/2 digits if n is even, and from the first n+1/2 digits if n is odd.
Therefore, if n is even, there are 9×10⁽n⁻²/²⁾ palindromes; and if n is odd, there are 9×10⁽n₋²/²⁾ palindromes. where n is number of digits.
For n=5 , there are 9×10²=900 palindromes
