Answer:
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
Step-by-step explanation:
We can have two expressions to show the total cost paid by a member and non-member;
Total cost by member=Cost per summer season+cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per summer season=$105
Cost per number of times they rent a boat=$9.50
Number of times they rent a boat=n
Replacing;
Total cost by a member=105+(9.5×n)=9.5 n+105......equation 1
Total cost by a non-member=Cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per number of times they rent a boat=$14.75
Number of times they rent a boat=n
Replacing;
Total cost by a non-member=(14.75×n)=14.75 n......equation 2
To calculate the number of times they would have to rent a boat in order to pay the same amount, we equate equation 1 to equation 2
9.5 n+105=14.75 n
14.75 n-9.5 n=105
5.25 n=105
n=105/5.25
n=20
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
The percentage decrease is 60% decrease because it changed by 81 and 81 is 60% of 135
The correct answers are:
Exact volume =
in^3
Approximate volume = V = 33.51 in^3
Explanation:The volume of the sphere is:
Since r = 2 in
Hence
in^3
(exact)
V = 33.51 in^3 (approximate)
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:
2m + 6v = 42 ________ (1)
The next month she rented 5 movies and 3 video games for a total of $30. This means that:
5m + 3v = 30 _________(2)
We now have two simultaneous equations:
2m + 6v = 42 ________ (1)
5m + 3v = 30 _________(2)
Multiply (2) by 2, and we have:
2m + 6v = 42 __________ (1)
10m + 6v = 60 _________ (3)
Subtract (1) from (3):
10m + 6v = 60
-<u> 2m + 6v = 42</u>
<u> 8m = 18</u>
=> m = 18 / 8
m = $2.25
Put the value of m back in (1):
2(2.25) + 6v = 42
4.5 + 6v = 42
=> 6v = 42 - 4.5 = 37.5
v = 37.5 / 6
v = $6.25
Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
