
notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format
so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)
thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)
solve for "x"
Answer:
BCDA is equivalent to FGHE
A is equivalent to angle E
B is equivalent to angle F
C is equivalent to angle G
D is equivalent to angle H
Step-by-step explanation:
1st step is just figuring out which sides corresponds with which.
A is equivalent to angle E
B is equivalent to angle F
C is equivalent to angle G
D is equivalent to angle H
On the last one I am confused by what it is asking, but here is what I think:
The scale factor from the big figure to the small figure is 1.5 because of 15/10=1.5
12/8=1.5 and so on.
If you are paid bi-weekly, you will receive 26 checks a year.
$3,985x26=$103,610
Ethan Doran’s annual salary is $103,610.
Answer:
The rate at which the distance from the plane to the station is increasing is 331 miles per hour.
Step-by-step explanation:
We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:
a: is one side of the triangle = altitude of the plane = 3 miles
b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles
h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles
First, we need to find b:
(1)

Now, to find the rate we need to find the derivative of equation (1) with respect to time:
Since "da/dt" is constant (the altitude of the plane does not change with time), we have:
And knowing that the plane is moving at a speed of 500 mi/h (db/dt):
Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.
I hope it helps you!