The total cost that will be paid by the family will be RM(15x - y).
<h3>How to calculate the cost?</h3>
The entrance fee to a circus for a child is RM(3x-y).
The entrance fee for an adult is RM(3x - y) + RM2y = 3x + y.
Therefore, the cost for 2 adults and three children will be:
= 2(3x + y) + 3(3x - y)
= 6x + 2y + 9x- 3y
= 15x - y
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Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
The distances between the given pairs of points are:
- (-8, -2) and (6, -1); d = 14.04
- (-4, 5) and (4,0); d = 9.85
<h3>
How to find the distance between two points?</h3>
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)
1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:
d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04
2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:
d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85
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Answer:
The volume of the box is 
Step-by-step explanation:
we know that
The volume of the box is equal to
where
L is the length of the box in inches
W is the width of the box in inches
H is the height of the box in inches
we have
substitute in the formula
