Answer: 7.5 items
Step-by-step explanation:
Both Karen and James had 30 stocking items.
Karen bought 35% of her items;
= 35% * 30
= 10.5 items
James has bought 60%;
= 60% * 30
= 18 items
= 18 - 10.5
= 7.5 items
Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
We have that
smaller figure
ha=8.7
ra=1.6
larger figure
hb=10.44
rb=1.92
ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83
ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members[1.6/1.6]/[1.92/1.6]-------> 1/1.2
the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and
the ratio smaller figure to the larger figure is equal to----> 1/1.2
the answer is
the option yes 1/1.2
If by base of 10, you mean that the diameter of the base is 10, then the radius of the base is 5.
volume = pi * r^2 * h
volume = pi * 5^2 * 10
volume = 250pi, or approximately 785
Answer:
It took 1.2 hours to get to the store
Step-by-step explanation:
Let the time taken to reach the store be t₁
Let the time taken to come back be t₂
Let the speed to and from store = s₁ and s₂ respectively
let the distance to the store = d
To the store:

Back from the store:

We are told that total time (t₁ + t₂) = 2 hours
t₁ + t₂ = eqn (1) + eqn (2)

∴ length of trip to the store = t₁
from eqn (1)
