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Trava [24]
3 years ago
5

Tony will run at most 31 miles this week. So far, he has run 20 miles. What are the possible numbers of additional miles he will

run? Use t for the number of additional miles he will run. Write your answer as an inequality solved for t.​
Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

t=11

Step-by-step explanation:

31-20=11

so 11 miles left

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AveGali [126]

The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

Solution:

Given expression is 4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}

Using exponent rule: \frac{1}{a^{-m}}=a^m

$\Rightarrow4x \cdot x^{5}.x^{-3}

Using another exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x \cdot x^{5-3}

$\Rightarrow4x \cdot x^{2}

Using exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x^{1+2}

$\Rightarrow4x^3

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

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223 x 12 = 2676

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