When Jimmy and Shane went fishing, Shane caught 2 more than three times the number of fish that Jimmy caught. Write an algebraic
2 answers:
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Answer:
Explanation:
Follow PEMDAS in reverse to undo what's happening to x.
We first add 1 to both sides, then divide both sides by 5 to fully isolate x.
Refer to the steps below to see what I mean.
The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.
The solution set for x is anything -3 or larger.
If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}
Answer:
1/30 of a ton
Step-by-step explanation:
Write this as an expression:
1/3 of a ton and 1/2 of a ton were taken to the site.
4/5 of a ton were remove from the site.
Amount of a ton at the site =
Solve the equation by finding <u>common denominators</u> (when the bottom numbers are the same).
Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.
For <u>1/3 to become ?/6</u>, multiply top and bottom by 2.
For <u>1/2 to become ?/6</u>, multiply top and bottom by 3.
Now we can add the numerators together over the same denominator.
Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".
For <u>5/6 to become ?/30</u>, multiply top and bottom by 5.
For <u>4/5 to become ?/30</u>, multiply top and bottom by 6.
Subtract the numerators:
Answer in tons
Therefore there was 1/30 of a ton of rock left at the construction site.