Answer:
Step-by-step explanation:
i think the answer is 94°
Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Answer:
b
Step-by-step explanation:
Ignore above
your equation is 2(cosx)^2-3cosx+1=0
use quadratic formula to get results
you will end up with
cosx=1 or cosx=1/2
so, x=0 or x=pi/3
Answer:
$333.5
Step-by-step explanation:
First we have to find 45% of 230 and then add that value to 230
(we can also find 145% of 230, which is essentially the same thing)
so 45% of 230 is:
230*(45/100)= $103.5
230+103.5= $333.5
