Hello from MrBillDoesMath!
Answer:
z = 28 (y/x)
Discussion:
"
z varies inversely with x and directly with y" translates into
z = k * (y/x) (*)
Substituting x = 2, y = 3, z = 42 in (*) gives
42 = k (3/2) => multiply both sides by 2/3
42 (2/3) = k (3/2)(2/3) => 42(2/3) = 28; (3/2)(2/3) = 1
28 = k
Conclusion:
z = 28 (y/x)
Thank you,
MrB
Answer:
Step-by-step explanation:
probability of choosing a boy = 12 / 28 = 3 / 7
in % = 3 / 7 x 100 = 42,86%
probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2
in % = 1 / 2 x 100 = 50%
Answer:
50%
Step-by-step explanation:
10 kg of mixed nuts that contain 60% peanuts
60(10)
plus
15 kg of a different brand of mixed nuts. with x% peanuts
x(15)
=
That makes 25 kg with 54% peanuts
54(25)
--------------------------
Equation
60(10) + x(15) = 54(25)
600 + 15x = 1350
Subtract 600 from both sides
15x = 750
Diviede both sides by 15
x = 50
50%
Answer:
25
Step-by-step explanation:
since the angle in question is across from angle 70, they are congruent. You set up the equation
70=20+2p
50=2p
25=p
Answer:
transformed function, g (x) = (1/5)(-x)+7
Step-by-step explanation:
Assuming
f (x) = -x (and not f(x)-=x)
To compress/expand, we apply
g (x) = a*f(bx-k)+h
where
a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)
b=horizontal compression factor (=1 i this case)
h=vertical translation (=7)
k=horizontal translation (=0)
So the transformed function,
g (x) = (1/5)(-x)+7
