To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
Answer: 
Step-by-step explanation:
Let x represents the number of red roses and y represents the number of white roses.
Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.
i.e. the required inequality for this statement will be :-
No. of red roses +No. of white roses ≥ 12
i.e.
Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.
i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35
i.e.
Now, From (1) and (2) the system of inequalities represents the situation :
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π
Answer- since you are buying x packs of pencils, 2x packs of erasers, and 3x rolls of tape, you would be buying a total of 6x items.
