Option B is the correct answer
Step-by-step explanation:
Step 1 :
Given,
Maximum budget Sandra has for the trip is $90
Fixed rental fee = $30
Daily fee = $10
Step 2 :
Let x be the number of the days for which Sandra can go for the trip
If the daily fee is $10, the cost for x number of days would be 10*x
the fixed fee is $30
So the equation is represent the cost of the trip is 30 + 10 x
given that the maximum budget is $90, the above cost should always be less $90
So the required inequality is 30 + 10x ≤ 90
Option B is the correct answer
Answer: 34%
Step-by-step explanation:
Given
Price is marked down by 60% with an additional discount of 15% on the marked down price
Suppose x is the original price of the item
After marking down, it is

after additional discount it is

Effective discount on the item is

Thus, a person is paying
of the original price
Answer:
x=-2
Step-by-step explanation:
14-(x+5)=3(x+9)-10
14-x-5=3x+27-10
14-5-x=3x+17
+x +x
9=4x+17
-17 -17
4x=-8
4x/4=-8/4
x=-2
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = 
r = 16 units
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