Answer:
HC=
Step-by-step explanation:
Let HC=x, it is given that AH=3HC, then AH=3x.
Since, from the given figure, ΔABC is similar to ΔBHC and ΔABC is similar to ΔABH.
Therefore, ΔABH is similar to ΔBHC, hence using the similarity conditions,





Hence, HC=
.
Answer:

Step-by-step explanation:
Remember that

we have

In this problem
b represent the 100%
so
using proportion
Find out what percent of b represent a
Let
x -----> the percentage of b

Convert to mixed number

Answer:
Expressions are not equivalent
Step-by-step explanation:
Given expressions are:

Putting w=1 in both expressions
![4(3w+4)\\=4[3(1)+4]\\=4(3+4)\\=4(7)\\=28\\\\16w+12\\=16(1)+12\\=16+12\\=28](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%281%29%2B4%5D%5C%5C%3D4%283%2B4%29%5C%5C%3D4%287%29%5C%5C%3D28%5C%5C%5C%5C16w%2B12%5C%5C%3D16%281%29%2B12%5C%5C%3D16%2B12%5C%5C%3D28)
Both expression have value 28 on w=1
Putting w=3 in both expressions
![4(3w+4)\\=4[3(3)+4]\\=4(9+4)\\=4(13)\\=52\\\\16w+12\\=16(3)+12\\=48+12\\=60](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%283%29%2B4%5D%5C%5C%3D4%289%2B4%29%5C%5C%3D4%2813%29%5C%5C%3D52%5C%5C%5C%5C16w%2B12%5C%5C%3D16%283%29%2B12%5C%5C%3D48%2B12%5C%5C%3D60)
Both expression have different values at w=3
Hence, in order for the expressions to be equivalent they both should produce same value on w=3 too.
So, it can be concluded that both expressions are not equivalent ..
Answer:
1. No
2. 1,050 bushels of corn
Step-by-step explanation:
1. A number is proportional if it has a constant ratio to another quantity.
8/12 and 10/25 do not.
2. An acre will produce
bushels of corn.
750 divided by 10 is 75. <u>This is 75 bushels per acre.</u>
Then you would multiply 75 and 14.
This equals 1,050 bushels of corn.
Answer:
After 7 years the population will be 15268.
Step-by-step explanation:
Given a town has a population of 12000 and grows at 3.5% every year. we have to find the population after 7 years.
As the general growth formula is

where A = Amount after growth
P = Original amount
r = yearly growth rate
t = no. of years
here, P=12000, r=0.035, t=7

=
= 
Hence, after 7 years the population will be 15268.