9ft shadow
Set up a proportion with height/shadow
8/18=4/x, cross multiply
8x=72
x=9
Answer:

Step-by-step explanation:
Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.
To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
Solution :
Let total number of tomatoe plants be T
Since we are given that Lauryn grew tomato plants = p
We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.
⇒ 
We are also given that Kent grew 6 more than 4 times the number Lauryn grew.
⇒ 
So, total number of tomato plants :
⇒ 
⇒ 
Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is 
9514 1404 393
Answer:
77
Step-by-step explanation:
We can use a number of ratio units to represent b that is the LCM of 8 and 6. That value is 24. Then multiplying the first ratio by 3 and the second by 4, we have ...
a:b = 9:24 and b:c = 24:44
Then the ratios of all are ...
a : b : c = 9 : 24 : 44
and the sum is 9+24+44 = 77.
Answer:
After 6 rounds one team will win.
Step-by-step explanation:
This is an example of geometric progression,
Let p(n) represents the number of participants remaining after n rounds of play.
First term = 64

We have

Number of teams remaining after n rounds of play, p(n) = 2⁶⁻ⁿ
Here we need to find for what n p(n)=1

After 6 rounds one team will win.
Answer:
(21,5)
Step-by-step explanation:
To find the slope that passes through the points (7,5) and (21,15) , we use the formula
m = (y2-y1)/ (x2-x1)
= (15-5)/(21-7)
= 10/14
=5/7
We want a slope that is 1/3 this slope so we will multiply by 1/3
5/7 * 1/3= 5/21
We know the slope and one point (0,0) we can use the same formula to figure out x and y
m = (y2-y1)/ (x2-x1)
5/21 = (y2-0)/ (x2-0)
Let the tops be equal and the bottoms be equal
5 = y2-0
5 =y2
and the bottoms
21 = x2-0
21= x2
We have the point
(21,5)