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Dimas [21]
3 years ago
6

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig.

If the total lifespan of the animals is 30 years, calculate the longevity for each species.
Mathematics
1 answer:
faust18 [17]3 years ago
8 0
Guinea pig (p) = 4 years old
Giraffe (g) = 10 years old
Tiger (t) = 16 years old

P = g-6
T = 4p

30 = g+g-6+(4(g-6))
30 = 2g-6+4g-24
30 = 6g-30
+30 +30
60 = 6g
6 6
10 = g

P = 10-6
P = 4

T = 4(4)
T = 16
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Answer:

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Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

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