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katrin [286]
3 years ago
5

Penny and Kenny have the same number of football cards.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0
Hello,
Penny==>a*10 (a is an integer)
Kenny==>b*18 (b is an integer)

a*10=b*18==>a=9*b/5 ==>b=5+n*5
a=9*(5+5*n)/5=9*(1+n)=9+9n
If n=0 then a=9 and b=5 :Number od cards: 9*10=10, 5*18=90
if n=1 then a=19 and b=10: Number of cards: 19*10=190>100 to exclude.

So number of cards=90

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Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.

"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
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Hope this helps! :)
8 0
4 years ago
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nikdorinn [45]

Answer:

<em>In 5 years the product of their ages will be 208</em>

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:

(11+x)(8+x)=208

Operating:

88+11x+8x+x^2=208

Simplifying:

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Factoring:

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Solving:

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The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

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