<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>
<h3><u>Solution:</u></h3>
Given that,
Gabe went to the amusement park with $40 to spend
His ticket cost $26.50
Therefore,
Total amount she has = $ 40
Ticket cost = $ 26.50
Let "x" be the amount he might spend on souvenirs and snacks
Therefore,
Remaining amount = 40 - 26.50
Remaining amount = 13.5
Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks
Which is represented in inequality as:
Thus the inequality is found
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
Answer:
k = 1/2
Step-by-step explanation:
-4k-2(k)-2(-3)=-6k+8
-4k-2k+6=-6k+8
-2k+6=-6k+8
4k+6=8
4k=2
4k/4= 2/4
k=1/2
