Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so

...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting
in (i), we get

Putting
, we get


Therefore, the required value is
.
Answer:
85
Step-by-step explanation:
Answer:
If the ratio is 7:5 and there are 42 girls, then you are multiplying by 6. 5 x 6 = 30. 30 boys participated.
Step-by-step explanation:
There are 30 boys in the competition.
Step-by-step explanation:
Given : The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition.
To find : How many boys participated?
Solution : Let x be the number of boys in the competition.
There are 42 girls in the competition.
The ratio form by girls to boys is 42 : x
The ratio of girls to boys who participated in the quiz bowl was 7 : 5.
Solving the two ratios,
Therefore, There are 30 boys in the competition.
R, S and T are collinear if they are in the same exact line.
It is enough to show that slope of RS is equal (or not) to the slope of ST,
slope of RS

slope of ST

the lines through R, S and S, T have the same slope so the three points are collinear.
Answer: TRUE
Answer:A. h(t) = -16(t - 403)^2 + 3
B. h(t) = -16(t - 5)^2 + 3
C. h(t) = -16(t - 3)^2 + 403
D. h(t) = -16(t - 5)^2 + 403
Step-by-step explanation: