Answer:
yeah, like what is learning about war going to do for our well-being and finding a job?
Answer:
Step-by-step explanation:
Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)
Put those values into an equation about the total value:
p + 5n = 238
and you know the total number of coins is 66.
p + n = 66
get a value for p by "solving" (subtract n from both sides)
p = 66-n
Substitute that value for p in the first equation. Then solve.
(66 -n) + 5n = 238
4n = 238-66 Then isolate n by dividing both sides by 4
n = 172/4
n = 43 Substitute that in the second equation, then solve for p
p + 43 = 66 p = 66 - 43
p = 23
So Chuck has 23 pennies and 43 nickels
Answer:
$65
Step-by-step explanation:
So we already determined that the total cost C to drive m miles is:
And we want to find the total cost of driving 100 miles.
So, substitute 100 for m and solve for C:
Multiply:
Add:
Therefore, it will cost $65 to drive 100 miles.
You can tell if they're similar if they:
1) Have two of the same angles
2) If two pairs of corresponding angles in a pair of triangles are congruent.
3) If they are the same shape
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
