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
Answer: D
Step-by-step explanation:
A constant rate of change means that for every x, y increases the same amount.
In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.
<span>3x + (x-8) = 23
Combine like terms first. You can combine 3x and x because they have the same variable.
4x - 8 = 23
Now add 8 to both sides.
4x = 31
Last step is to divide both sides by 4 to isolate the x.
4/4x = 31/4
x = 7.75 is the answer.</span>
Answer:
14.1
Step-by-step explanation:
Answer:
yes, i think it is
Step-by-step explanation:
