Solve the following system by the substitution method 0.1x + 0.8y = - 5.1 , 0.4x- 0.9y = 8.3
1 answer:
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Answer:
69813.33 marshmallow
the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive
Step-by-step explanation:
Given:
Unicorn weights = 440 kg
Marshmallow weighs = 0.5 grams
Unicorn needs = 34 calories/kg of body weight/day
Marshmallow offers = 3 calories/gram
Calories required by Unicorn in a week
= Calories needed × Weight of unicorn × Total days in a week
= 34 × 440 × 7
= 104,720 calories
Now,
Marshmallows required =
=
= 34906.67 grams
Therefore,
the number of marshmallows required =
=
= 69813.33 marshmallow
b) Total calories provided by the marshmallow
= 5,000,000 × 0.5 × 3
= 7,500,000 calories
and,
calories required by 2 unicorns in an year
= weight of 2 unicorn × calories needed × number of days in an year
= 2 × 440 × 34 × 365
= 10,920,800
Since,
the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive