The solution to the inequality expression is x ≥ - 5
<h3>Inequality expressions</h3>
Inequality are expressions not separated by an equal sign. Given the inequality;
–4(x + 3) ≤ –2 – 2x
Expand
-4x - 12 ≤ -2 - 2x
Collect the like terms
-4x + 2x ≤ -2 + 12
-2x ≤ 10
Divide both sides by -2
-2x/-2 ≤ 10/-2
x ≥ - 5
Hence the solution to the inequality expression is x ≥ - 5
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First let's find out how many cups serve one person.
3 ÷ 5 = 1.6
1.6 of a cup serves one person.
1.6 × 13 = 20.8
It takes 20.8 (21 rounded) to serve 13 people.
Time taken by Michelle to complete the work alone = 6 hours
Time taken by Nancy to complete the work alone = 3 hours
Now, when they both are working on the same job for 1 hour,
Amount of job completed = (1/6) + (1/3)
= (1 + 2)/6
= 3/6
= 1/2
So in 1 hours time they both will complete half of the job. Then in 2 hours Michelle and Nancy will complete the total job. I hope the answer has come to your help.
Both of them together have 690 because you subtract 152 from 421 so...
421-152=269
Then add 269 to 421
421+269=690
you can imagine this as a venn diagram. the "or" event would consist of everything in both sides and the middle of the venn diagram because you can choose form either event x <u>or</u> event y.
the "and" event would consist of everything in the middle of the venn diagram because you choice must be a part of both event x <u>and</u> event y.
the complement of an event is just everything that is not included in the event. for example, in a coin flip, the complement of heads is tails. in a dice roll, the complement of {1,2} is {3,4,5,6}
so if you come across these just think "either or" or "both and." and remember that the complement is everything excluding what is listed.
i apologize if this does not help, im not that great at explaining things
