Answer:
80:4 unit rate is 20:1
Step-by-step explanation:
All we have to do is divide the money she spent on fruit by the total and multiply that by 100.
18÷45
.4×100
40
So, Carmen spent 40% of her money on fruit.
Answer:
1539 cubic meters
Step-by-step explanation:
Hello, I can help you with this
to solve need we will need these two equations
Step one
Remember
area of a circle
Also, the volume of the cylinder
Volume= area of the circle * height
Step 2
put the values into the equation
Let
diameter= 14 m
height = 10 m
I hope it helps,have a great day.
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
