Answer:
9
Step-by-step explanation:
6.4(x)+2.8y=44.4
6.4(3)+2.8y=44.4
19.2+2.8y=44.4
2.8y=25.2
y=9
Answer:
161 seniors
Step-by-step explanation:
According to the problem, given data are as follows:
Total number of sophomores = 300
Sophomores to junior ratio = 5:4
So, Number of Juniors = 300 × (4 ÷ 5)
= 240
Now, Juniors to senior ratio = 3:2
So, we can calculate the number of seniors by using following method:
Number of seniors = 240 × ( 2 ÷ 3)
= 240 × 0.67
= 160.8 or 161
Angle of depression is the angle that is created below the horizontal with your line of sight. to solve the angle of depression, use the formula:
tan(d) = o / a
where d is the angle of depresion
h is the opposite side of the angle which is the height 60 ft
a is the adjacent side of the angle which is 25 ft
tan( d ) = 60 / 25
d = arctan ( 60 / 25)
d = 67.38 degrees
Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
a = 345/3
a = 115
There are 115 adult tickets sold.</span>
Answer:
Step-by-step explanation:
The distance formula that gives the distance between two points is given as:
Plugging in our given points, we get:
.