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Maru [420]
3 years ago
11

At an amusement park john wants to ride a rollercoaster that costs 19 tickets, a bumper car that costs 3 tickets, and a merry-go

-round that costs 33 tickets. John had 31 tickets but lost 10 of them on a ride. How many more tickets does he need?
Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

John will need 34 more tickets to be able to go on all the rides he wants

Step-by-step explanation:

To solve this, we need to first of all know the total cost in terms of tickets of all the rides that john wants to have.

This will be

cost of roller coaster ride = 19 tickets

cost of bumper car ride = 3 tickets

cost of merry-go-round ride = 33 tickets

Total cost of rides = 19 + 3 + 33 =55 tickets

Next, we will need to find the number of tickets that John has left after losing 10 of them.

This will be 31 - 10 = 21 tickets left

To find the number of more tickets that John needs , we will subtract the number of tickets he has left from total ride ticket cost.

This will be 55-21 = 34 tickets.

Hence, John will need 34 more tickets to be able to go on all the rides he wants

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4 years ago
Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number
Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y²  = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

5 0
4 years ago
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