What is the rational exponent?
1 answer:
Answer:
Step-by-step explanation:
A rational exponent is made up of the power on the radicand (the number under the radical) and the index (the number that sits in the little bend of the radical sign). The rational exponent uses the power as the numerator and the index as the denominator. Even though you do not see any power on the 6, it is understood to be a 1. So rewriting this radical as an exponent is
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Answer:
Weight of empty bottle = 0.8 kg
Weight of water = 1.6 kg
Step-by-step explanation:
As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.
Let us assume
Weight of empty bottle = x
Weight of water = y
Now,
when the bottle is 1/4 full of water
then,
weight of water = ×y
As given , Bottle weight = 1.2 , when it is 1/4 full of water
⇒ Weight of water + weight of bottle = 1.2
⇒ ×y + x = 1.2
⇒ y + 4x = 4.8 .......(1)
Also given, A bottle weight = 2.4 , when it is full of water
⇒ Weight of water + weight of bottle = 2.4
⇒ y + x = 2.4 ......(2)
Subtract equation (2) from equation (1) , we get
y + 4x - ( y+ x) = 4.8 - 2.4
⇒ y + 4x - y - x = 2.4
⇒3x = 2.4
⇒x = = 0.8 kg
and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg
∴ we get
Weight of empty bottle = x = 0.8 kg
Weight of water = y = 1.6 kg