How are the two 4s in the decimal 0.44 related
1 answer:
You might be interested in
The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.
<u>Solution:</u>
Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,
Let x represent the number of years since 1995.
We have to write a linear equation, in slope- intercept form, that represents this data.
Now, let the change in population per year be p.
Then, population in a year = population change per year number of years + population in 1995.
⇒population in a year = p x + population in 1995
⇒ population in a year = p x + 2400
Here we have an case that, population in 2000 is 4000
Then, number of years since 1995 = 5
So, 4000 = p 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320
Then, our equation will be population in a year = 320x + 2400
Considering the population in a year as y ⇒ y = 320x + 2400.
Hence, the linear equation in slope intercept form is y = 320x + 2400.
Answer:
The number of supervisor in the factory is 9 .
Step-by-step explanation:
Given as :
The ratio of workers to supervisors and factories 32 : 2
let the number of workers = 32 x
And The number of supervisors = 2 x
The ratio of male workers to female workers is 6:5
Let The number of male workers = 6 y
And The number of female worker = 5 y
The number of female workers at the plant = 80
So, 5 y = 80
∴ y =
I.e y = 16
So, The number of male workers = 6 y = 6 × 16 = 96
Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant
Or, The Total number of worker in the factory = 96 + 80 = 146
Now , Again
∵ The ratio of workers to supervisors in factories 32 : 2
So, The number of workers = 32 x
I.e 146 = 32 x
∴ x = = 4.5
So, The number of supervisors = 2 x = 2 × 4.5 = 9
Hence The number of supervisor in the factory is 9 . Answer