The inequality that correctly represents this scenario is given as follows:
The graph is given at the end of the question.
<h3>What is a system of inequalities?</h3>
A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of chocolate chips purchased.
- Variable y: number of pecans sold.
Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:
More can be learned about a system of inequalities at brainly.com/question/3656398
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In probability, you study the chances, odds or likelihood of the event occurring. This is determined by dividing the number of possibilities to the total number of events. But terms may come up such as 'mutually exclusive'. Suppose, event A is for students ages 5-10, while event B is for students ages 11-15. The events A and B are said to be mutually exclusive when they do not intersect or meet at some point. In other words, when a student is in group A, he cannot be in group B because that becomes invalid and untrue. That seems logical because a student cannot be both 6 years old and 12 years old, right?
Hence, the answer to this question is letter C.
You can have a lot of ways to solve this problem, but I'm going for solving for the lawn's area directly instead of solving the reserved section and subtracting it from the total area of the whole place.
First, cut the lawn so that it becomes two shapes: a rectangle, and a triangle. Solve for both areas.
A(r) = lw
A(r) = (14)(16)
A(r) = 224 square feet
A(t) = bh/2
A(t) = (8)(14) / 2
A(t) = 112 / 2
A(t) = 56 square feet
Add the two areas:
A(r) + A(t) = Area of lawn
224 square feet + 56 square feet = 280 square feet.
The area of the lawn, therefores, is 280 ft^2.
Answer:
B=16over37
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15(15b−7)=3b−9
(15)(15b)+(15)(−7)=3b+−9(Distribute)
225b+−105=3b+−9
225b−105=3b−9
Step 2: Subtract 3b from both sides.
225b−105−3b=3b−9−3b
222b−105=−9
Step 3: Add 105 to both sides.
222b−105+105=−9+105
222b=96
Step 4: Divide both sides by 222.
222b
222
=
96
222
Then simplify
