The best way for him to check his answer would be to simply plug in the value found for x into the equation.
4(2) - 6 = 2
8 - 6 = 2
2 = 2
45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages
amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps
2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6
s+7=0
s=-7, false, no negative stamps
6 stamps per page
sub
p=2+s
p=2+6
p=8
8 pages
check
last page is 3 so 8-1=7 page left
7*6=42
3+42=45
correct
there are
8 pages in the album
6 stamps per page
Answer:
24 times
Step-by-step explanation:
cone is used to fill cylinder
conevolume times x=cylindervolume
so
x=cylinderv/conev
cylinderv=hpir^2
conevolume=1/3hpir^2
cylinder:
v=hpir^2
r=10
h=20
v=20*pi*10^2=2000π
cone=1/3hπr²
r=5
h=10
v=1/3(10)π5²=250π/3
volume of cylinder ÷ volume of cone
= 2000π ÷ (250π÷3)
= 6000π ÷ 250π
= 600÷25
= 24
please mark me brainliest
Answer:
x₁ = √15
x₂ = - √15
Step-by-step explanation:
x² - 15 = 0
x² = 15
x = ±√15
x₁ = √15
x₂ = - √15
