<span>1. </span><span>Exponent in the given numbers
cannot be added because in multiplication law of exponents, it is now allowed
to add 3 exponents.
=> Given number 12^3 x 11^3
let’s show how it works
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1 728 x 1 331
=> 2 299 968
Now, let’s try adding the exponent if it will result to the same product
=> 12^3 x 11^3
=> 132^6
=> (132 x 132 x 132 x 132 x 132 x 132
)
=> 5 289 852 801 024 (the answer is wrong)</span>
Well, if the truck traveled for one hour, that means the car traveled for two.
60+70+70=200
It's not that difficult to just guess and check, even if it's a bit time consuming.
Let's try three hours for the truck.
60+60+60+70+70+70+70=460
That's too much, so we'll try two hours.
60+60+70+70+70=330
The truck traveled two hours, and the car traveled three hours, since the car traveled one hour longer than the truck.
All together, the car and truck drove a total of 5 hours.
Answer:
3/5
Step-by-step explanation:
absolute value is always positive
Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds
Step-by-step explanation:
We can work out some equations based on the given information:
We can call the boys A, B and C
so,
- when all three boys are standing on the scale, it reads 170 pounds.
- Eq(1)
- when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.
- Eq(2)
- when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.
![C = 60](https://tex.z-dn.net/?f=C%20%3D%2060)
So we already knew the weight of boy C. (it was in the question all along)
pounds
<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>
we can put this value back in Eq(2), to find the weight of boy B.
![B = 100 - 60](https://tex.z-dn.net/?f=B%20%3D%20100%20-%2060)
![B = 40](https://tex.z-dn.net/?f=B%20%3D%2040)
the
the weight of boy B (Ben) is
pounds
now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.
![A + B + C = 170](https://tex.z-dn.net/?f=A%20%2B%20B%20%2B%20C%20%3D%20170)
![A + 40 + 60 = 170](https://tex.z-dn.net/?f=A%20%2B%2040%20%2B%2060%20%3D%20170)
![A + 100 = 170](https://tex.z-dn.net/?f=A%20%2B%20100%20%3D%20170)
![A = 170 - 100](https://tex.z-dn.net/?f=A%20%3D%20170%20-%20100)
![A = 70](https://tex.z-dn.net/?f=A%20%3D%2070)
the weight of boy A (Adam) is
pounds
The Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds