Answer:
90
Step-by-step explanation:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
<h3>f(x) = 119x is the function that represents the number of cupcakes Kathleen has given away over time</h3>
<em><u>Solution:</u></em>
Given that,
Kathleen makes 144 cupcakes each week
Of these she sales 25 each week and gives away the rest
<em><u>To find: Linear function that represents the number of cupcakes Kathleen has given away over time</u></em>
Let "x" be the number of weeks
Number of cakes given away = 144 - 25 = 119
<em><u>Thus, number of cupcakes Kathleen has given away over "x" weeks is given as:</u></em>
f(x) = 119x
Where, f(x) is the number of cupcakes Kathleen has given away over "x" weeks
Write the inequality expression for "<span>Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load"
Total mails should not exceed the capability of mail distribution center, that is 150,000 per day. In other words the total mails is less than or equal to 150,000.
2000x + 1500y </span>≤ 150,000
Write the inequality expression for "<span>The loading equipment is able to handle as many as 200 loads per day"
</span>x + y ≤ 200
The number of loads shouldn't be negative
x ≥ 0
y ≥ 0
SUMMARY
The inequality system for the problem is
2000x + 1500y ≤ 150,000
x + y ≤ 200
x ≥ 0
y ≥ 0