Answer:
The number sold at $12.50 is 25
The number sold at $9.50 is 62
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
x 12.50 + y 9.50=901.50
x+y= 87
Where
x= number of pottery pieces sold
y= number of pottery pieces sold at a decreased price
Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:
12.50 x + 9.50y = 901.50
-
9.50 x+ 9.50 y= 826.5
__________________
3 x = 75
Solving for x
x =75/3
x = 25
Replacing x=25 on any equation:
x+y= 87
25+y =87
y=87-25
y= 62
Step-by-step explanation:
Tn= a+(n-1)d
= 123 +(70-1)7
=123+(69)7
=123+483
=606 answer
∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.
Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².
∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find
where 
is the length of the altitude originating from vertex O, and so
where 
is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².
So, the total area of the shaded region is
(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²
Answer:
do 2x + 52 = 21 + x + 31 and solve for x and plug it in
please let me know if this was helpful :)
Answer:
0.75
Step-by-step explanation:
hope this helps you
