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Cloud [144]
3 years ago
5

Ricardo's dog weighs 6 times as much as his cat.The total weight of his two pets is 98 pounds. How much does Ricardo's dog weigh

?
Mathematics
2 answers:
Nina [5.8K]3 years ago
8 0
98 pounds : 7 = 14 pounds
14 pounds x 6 = 84 pounds
Ricardo's dog weighs 84 pounds
OverLord2011 [107]3 years ago
4 0
Ricardo's cat weighs x pounds.
His dog weighs 6 times as much as his cat, so his dog weighs 6x pounds.
The total weight of the pets is 98 pounds.

x+6x=98 \\
7x=98 \\
x=\frac{98}{7} \\
x=14 \\ \\
6x=6 \times 14=84

Ricardo's dog weighs 84 pounds.
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40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

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