<span>equivalent expressions</span>
Answer:
B
Step-by-step explanation:
The first quartile of his data is 60.
The median of his data is 82.
The first quartile Q1 is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.
The median Q2 is the median of the data set. This means that about 50% of the numbers in the data set lie below Q2 and about 50% lie above Q2.
Between Q1 and Q2 lie exactly 25% of the numbers in the data set.
25% of 200 is exactly 50, so option B is true.
Answer:
A salad costs $2.50
A sandwich costs $4.50
A drink costs $1.25
Step-by-step explanation:
Let x represent the salad, y represent the sandwich, and z represent the drink.
Since three salads, two sandwiches, and one drink cost $17.75:
3x + 2y + z = 17.75 (1)
Since one salad, one sandwich, and three drinks cost $10.75:
x + y + 3z = 10.75 (2)
Since a salad costs twice as much as a drink:
x = 2z (3)
Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:
-2x - 2y - 6z = -21.50
3x + 2y + z = 17.75
→ x - 5z = -3.75
Replace the x with 2z using equation 3:
2z - 5z = -3.75
-3z = -3.75
z = 1.25
x = 2z → x = 2.50
x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50
Answer:
In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20
8x - 4x = 20 - 4
4x = 16 divide both sides by 4
x = 4 and JM = 8x + 4 replace x with 4
8×4 + 4 = 36
