The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
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Answer:
6/7
Step-by-step explanation:
Answer:
23 is the smallest number
Step-by-step explanation:
Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.
All together they add to 72.
So n + n+1 +n +2 = 72.
3n + 3 = 72
3n = 69
n = 23
<em><u>An inequality that shows the distance Johnathan could of ran any day this week is:</u></em>

<em><u>Solution:</u></em>
Let "x" be the distance Johnathan can run any day of this week
Given that,
Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles
Therefore,
Number of days ran = 5
The most he ran in 1 day = 3.5 miles
Thus, the maximum distance he ran in a week is given as:

The maximum distance he ran in a week is 17.5 miles
If we let x be the distance he can run any day of this week then, we get a inequality as:

If we let y be the total distance he can travel in a week then, we may express it as,
