Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Answer: OPTION D
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:
Where w is the width, h is the height and l is the length.
You can see in the figure attached that:
l=3.4ft
w=3ft
h=4.1ft
Therefore, when you substitute these values into the formula you obtain that the surface area is:
![SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}](https://tex.z-dn.net/?f=SA_%7Brp%7D%3D2%5B%283ft%2A4.1ft%29%2B%283.4ft%2A3ft%29%2B%283.4ft%2A4.1ft%29%5D%3D72.88ft%5E%7B2%7D)
Answer:
Lola was in lead for 
of a mile.
Step-by-step explanation:
We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.
To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:
Therefore, Lola was in lead for of a mile.
Answer:
75
Step-by-step explanation:
f(1) = 7
f(n) = 3f(n-1) + 3
So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.
So let's try f(2)
That means that f(2) = 3*f(n-1) + 3
but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.
so f(2) = 3*f(1)+3
f(2) = 3*7 + 3
f(2) = 21 + 3
f(2) = 24
Now do it again. We now know F(2), so we should be able to find f(3)
f(3) = 3*f(3 - 1) + 3
f(3) = 3*f(2) + 3 We know that f(2) = 24
f(3) = 3* 24 + 3
f(3) = 72 + 3
f(3) = 75
so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.
cross multiply: 100x = 813555
divide each side by 100 to isolate x: 8135.55
the truck driver will pay $8135.55
