Find the slope first using m=y2-y1/x2-x1
-4-4/0-4 =2
The y intercept is when x=0.
One of the given points is (0,-4)
The y intercept is y=-4
the answer is 40
in
X 1 (+1) 2 (+1) 3 (+1) 4 (+1) 5
Y 4 (+9) 13 (+9) 22 (+9) 31 (+9) 40
Remark
The way you have to set this up is to take the new number for the males and put it over the total for the males and females. The new number for the males / total = 3/5.
Step One
Find the total number of females
100 + 160 = 260 when 100 females have been added to the study.
Step Two
Find the number of males
The total number of males = 240 + x where x is the number of males to be added.
Step Three
Find the total for both
260 + 240 + x = Total
500 + x = Total.
Step Four
Find the ratio of males to total
(240 + x) / (500 + x) = 3/5
Step Five
Cross multiply and solve
(240 + x)*5 = (500+x)*3
1200 + 5x = 1500 + 3x Subtract 1200 from both sides.
5x = 1500 - 1200 + 3x
5x = 300 + 3x Subtract 3x from both sides.
5x - 3x = 300
2x = 300 Divide by 2
x = 300 / 2
x = 150
Check
(240 + 150 ) / (500 + 150) = ? 3/5
390 / 650 = ? 3/5
39/65 = ? 3/5 Divide the top and bottom on the left by 13
3/5 = 3/5 and it checks.
Answer:
36 boys
Step-by-step explanation:
3
Please write the ratio as 3:5 or as --------
5
Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.
How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.
Multiplying both sides of this equation by (8/5), to isolate c, we get:
c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.
3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.
We could also solve this problem in the following manner:
3 b
------ = ------- , where b represents the number of boys.
5 60
Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys
Since 25% is 1/4, you multiply 60 by 1/4 to get how many students took Spanish class last year. So, 60 times 1/4 is 60/4, which is 15. Then you subtract 15 from 60 to get 45. So, 45 students took Spanish class last year.
