Answer:
$8 for 3 pounds
cost for p pounds: 3.50p - 2.50
Step-by-step explanation:
Cost of 3 pounds:
Original cost = Cost per pound x 3
= 3.50 x 3
= 10.50
Coupon = 2.50
Final cost = Original cost - Coupon
= 10.50 - 2.50
= $8
Cost of p pounds:
Original cost = Cost per pound x p
= 3.50 x p
= 3.50p
Coupon = 2.50
Final Cost = Original Cost - Coupon
= 3.50p - 2.50
Answer:
0.006
Step-by-step explanation:
The probability that the first card is a six is 4/52.
There's one less card now, so the probability that the second card is nine is 4/51.
The total probability is:
P = (4/52) (4/51)
P ≈ 0.006
Angle BAC is 75 because you subtract 27 from 102.
Answer:
C. 3.5 mi
Step-by-step explanation:
Reference angle = angle of elevation
Angle of elevation = angle of depression = 6° (alternate angle theorem)
Hypotenuse = x
Opposite = 1905 ft
Apply trigonometric function SOH:
Sin 6° = Opp/Hyp
Sin 6° = 1905/x
x * Sin 6° = 1905
x = 1905/Sin 6°
x = 18,224.7 ft
Convert form feet to miles
1 mi = 5,280 ft
Therefore,
18,224.7 = 18,224.7/5,280
= 3.45164773 mi
≈ 3.5 mi (nearest mile)
Answer:
d. 22
Step-by-step explanation:
(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem
PQ = ?
QR = 2
TS = 8
SR = 4
Plug in the values
(PQ + 2) × 2 = (8 + 4) × 4
2PQ + 4 = 12 × 4
2PQ + 4 = 48
2PQ + 4 - 4 = 48 - 4
2PQ = 44
2PQ/2 = 44/2
PQ = 22