Step-by-step explanation:
Let,
- Money received by Jan = 4x
- Money received by Jane = 9x
- Money received by Jello = 6x
According to the question,
→ Money received by Jan = $200
→ 4x = $200
→ x = $200 ÷ 4
→ x = 50 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )
Now,
→ Money received by Jane = 9x
→ Money received by Jane = 9($50)
→ <u>Money received by Jane = $450</u> [Ans]
And,
→ Money received by Jello = 6x
→ Money received by Jello = 6($50)
→ <u>Money received by Jello = $300</u> [Ans]
Answer: 3 or -3
Step-by-step explanation:
4 - |x| = 1
First subtract 4
-|x| = -3
The | | sign makes it both positive and negative
So -|3| and -|-3| will = -3
First we need the total of both children and adults that like all the flavors:
12 + 5 + 20 + 23 + 11 + 16 = 87 total people
then find the number of adults that like sweet mint: from the table 11 adults like sweet mint
to find the probability divide the number of adults who like sweet mint by the total number of people:
11 / 87 = 0.126
the answer is A
Answer:
Step-by-step explanation:
Notation. x y means x is less than or equal to y. x y means x is greater than or equal to y. x < y means x is less than y. x > y means x is greater than y. The last two inequalities are called strict inequalities. Our focus will be on the nonstrict inequalities. Algebra of Inequalities Suppose x + 3 < 8. Addition works like for equations: x + 6 < 11 (added 3 to each side). Subtraction works like for equations: x + 2 < 7 (subtracted 4 from each side). Multiplication and division by positive numbers work like for equations: 2x + 12 < 22 =) x + 6 < 11 (each side is divided by 2 or multiplied by 1 2 ). 59 60 4. LINEAR PROGRAMMING Multiplication and division by negative numbers changes the direction of the inequality sign: 2x + 12 < 22 =) x 6 > 11 (each side is divided by -2 or multiplied by 1 2 ). Example. For 3x 4y and 24 there are 3 possibilities: 3x 4y = 24 3x 4y < 24 3x 4y > 24 4y = 3x + 24 4y < 3x + 24 4y > 3x + 24 y = 3 4x 6 y > 3 4x 6 y < 3 4x 6 The three solution sets above are disjoint (do not intersect or overlap), and their graphs fill up the plane. We are familiar with the graph of the linear equation. The graph of one inequality is all the points on one side of the line, the graph of the other all the points on the other side of the line. To determine which side for an inequality, choose a test point not on the line (such as (0, 0) if the line does not pass through the origin). Substitute this point into the linear inequality. For a true statement, the solution region is the side of the line that the test point is on; for a false statement, it is the other side.
