Answer:
Part A:
x+y= 95
x = y+25
Part B : 35 minutes
Part C : No
Step-by-step explanation:
Eric plays basketball and volleyball for a total of 95 minutes every day
x+y= 95
Where:
x =the number of minutes Eric plays basketball
y= the number of minutes he plays volleyball
He plays basketball for 25 minutes longer than he plays volleyball.
x = y+25
System:
x+y= 95
x = y+25
Replacing x=y+25 on the first equation:
(y+25) + y =95
Solving for Y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C : No
if x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Replacing y=60 on the other equation:
x = y+25
35 = 60+25
35 ≠85
The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.
From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x
We can further deduce that
tan(Θ) =
sec(Θ) =
=
cosec(Θ) =
=
cot(Θ) =
=
Answer:
Option C. 
Step-by-step explanation:
we know that
In the rectangle of the figure
so
The constant is equal to
We solve the inequality by subtracting 56.50 from both sides of the equation,
10.45b + 56.50 - 56.50 < 292.67 - 56.50
10.45b < 236.17
Then, divide both sides of the inequality by 10.45
b < 22.6
The solution suggests that the number of boxes than can be loaded on a truck without exceeding the weight limit of the truck should always be lesser than 22.6. Since we are talking about number of boxes, the maximum number of boxes that can be loaded should only be 22.
<span>48/70=0.6857
</span><span>0.6857x100=68.57%</span>
