at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how man
1 answer:
Answer:
100
Step-by-step explanation:
Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:
Also, there are 250 more girls than boys, so we can write:
g = 250 + b
Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:
The number of boys = 100
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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.