Answer:
The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150
Step-by-step explanation:
Let
x ----> number of liters of 50% antifreeze solution
y ----> number of liters of 90% antifreeze solution
we know that
50%=50/100=0.50
90%=90/100=0.90
80%=80/100=0.80
x+y=200
x=200-y ------> equation A
0.50x+0.90y=0.8(200) -----> equation B
substitute equation A in equation B and solve for y
0.50(200-y)+0.90y=160
100-0.50y+0.90y=160
0.40y=160-100
0.40y=60
y=150 liters
Find the value of x
x=200-y
x=200-150=50 liters
therefore
The number of liters of 50% antifreeze solution is 50
The number of liters of 90% antifreeze solution is 150
Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Isolate x
So xy - 2 = k
Then
xy = k + 2
x = (k+2)/y
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
=
+ 
=
+ 
576 =
+ 169
= 576 - 169
= 407
x = 
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
Answer:

Step-by-step explanation:
Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.
The probability of getting tails on a coin toss is: 
The probability of getting a number less than 3 (so 1 or 2) on a number cube is: 
Since we are combining these events, we need to multiply the fractions together to get our overall probability:
*
=