bob wants to lose weight. he currently weighs 220 pounds. on average he is losing 5 pounds per week by eating 1000 calories a da
1 answer:
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Answer:
Step-by-step explanation:
Assuming the system is solvable in the first place, create an augmented matrix of coefficients from the equations. Then put the matrix into reduced row echelon form.
Example is attached.
"Demonstrate by solving the following system."
You need to provide the system of equations.
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