Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
<em>4 inches</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em>Volume (cone) formula</em>
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<em>replace</em>
<em>r² = 3×80π/15π</em>
<em>r² = 240/15</em>
<em>r² = 16</em>
<em>r = √16</em>
<em>r = 4 inches</em>
<em>Good luck !</em>
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
h= -1
Answer:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
Step-by-step explanation:
This is a quadratic equation, with coefficients 3, -5 and 1.
The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13
Thus, the roots are:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
