Answer:
w < 0.6
Step-by-step explanation:
In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.
7w - 5 < 1 - 3w
Inverse operations,
7w - 5 < 1 - 3w
+3w +3w
10w - 5 < 1
+5 +5
10w < 6
/10 /10
w < 0.6
First off, turn 7 1/4 into a mixed number, 29/4. change 29/4 / 5/6 into a multiplication question by flipping 5/6 into 6/5 (AKA multiplying by the reciprocal) so you get 29/4 X 6/5. then multiply so you get 174/20. Next, simplify into a mixed number by seeing how many times 20 goes into 174, and then putting the leftovers into a fraction, so you get 8 14/20, then simplify even further so you get 8 7/10.
Answer:
he bought 19/24 pounds of grapes totoal
Step-by-step explanation:
3/8 +5/12 = 19/24
common denominator is 24 for both of them so multiple 3/8 by 3 and 19/24 by 2