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>
Answer:
20.4
Step-by-step explanation:
Adding up the whole hours first is 5+6+4 = 15. Adding the fractions is 1/2 + 3/4 + 1/2 is 1 3/4
This is 16 3/4 (answer c)
Answer: A: 180= 90+4x+x
B: x=18
Step-by-step explanation:
1. Every triangle has a length of 180
2. So all the measurements combined would equal 180
3. So write the equation 180=90+4x+x
4. Let‘s simplfy, 180=90+5x
5. Subtract 90 from each side, 90=5x
6. Divide each side by 5, 18=x.
7. Double check our work! 90+(4*15)+18=180
Ok. So first, we calculate the slope!
m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.
Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.
y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2
so the y-int is (0,.5 or 1/2) .
Next, we have to find the x-int.
to do that, we just plug in 0 for the y.
0=1.5x+.5
x=-.5/1.5= (1/3)
so the x-intercept is
(1/3 or .33,0).