Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒ 
m
One revolution of the water wheel corresponds to 
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
= 
/min
Using this result, the speed of the river in kilometers per hour will be:
× 
× 
⇒ 
⇒ 
≈ 
km/h
Answer
75r^4 t^2 + 25r^4 t^6
Answer:
B=10
Step-by-step explanation:
It's a perfect square of equation ax²+2abx+b²
I'm the given equation a is 1 and b is 5 so 2(a)(b)=2(1)(5)=10
(ps: when I say b in the explanation I mean another b not the one in question as to not be confused)
Hello there!
Y = Kim's Age
X = Kim's Sisters Age
Y + X = 36.
Kim is 24 and Kim's sister is 12.
24 + 12 = 36, so y = 24 and x = 12.
Hope this helped!!
