Answer:
C. The height of each bar represents the category's frequency or relative frequency
Step-by-step explanation:
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
We can let r be the number of food tickets and f be the number of food tickets.
Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities:
(1) 4r + 2f ≤ 40 and
(2) r + f ≥ 16
Multiplying -2 in (2), we have
4r + 2f ≤ 40
-2r - 2f ≤ 32
Adding both inequalities,
2r ≤ 8
r ≤ 4
Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
Answer:
Part a) 
Part b) The coordinates of the point are 
Step-by-step explanation:
Part a) Find the equation representing the ladder
we have the ordered pairs
(0,4) and (2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
If the box is a square
the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate
x=y

substitute


therefore
The coordinates of the point are 