Answer: OPTION A
Step-by-step explanation:
We need to remember that Product of powers property, which states that:

Let's check the options:
A. For
you can apply the property mentioned before. Then:

(It is the equivalent expression)
B. Add the exponents:

(It is not the equivalent expression)
C. For
you can apply the property mentioned before. Then:

(It is not the equivalent expression)
D. We know that
and we maje the addition indicated in this option, we get:

(It is not the equivalent expression)
Answer: On the first one its either A or D. (I think)
Step-by-step explanation:
So what I did was I multiplied 22 and 6.32 together and got 139.04 and the closest estimate to that would be 160 because 39 is closer to 60 than 20 (A) and since its not 150 the estimate would be lower than higher. (D)
Answer:
y = 6 so
2x + 3y = 36y is equal to:
2x + 3*6 = 36*6
-> 2x + 18 = 216
We must now move 18 to the other side of the equation. As we do that, we also change it's sign to negative 18:
2x = 216 - 18
We simplify this
2x = 198
Now, that we got to this point, we know that 2x is equal to 198. To find x we must divide the both sides of the equation by two:
2x/2 = 198/2
And we get that
x = 99
Step-by-step explanation:
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>
Answer:
(-9,12)
Step-by-step explanation:
