Answer:
d = 13
Step-by-step explanation:
19d - 16d - d - d - 1 = 12
19d + (-16 - 1d - 1d) - 1 = 12
19d + (--18d) - 1 = 12
19d - 18d - 1 = 12
1d = 12 + 1
d = 13
Check:
19*13 - 16*13 - 13 - 13 - 1 = 12
247 - 208 - 26 - 1 = 12
39 - 27 = 12
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"
Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
540 people can ride the wild river in 1 hour if all of the rafts are used and each raft is full
<u>Solution:</u>
Given, There are 15 rafts available for people to use on the adventure river ride.
Each raft holds 12 people.
Then, total people capacity over all rafts = 15 x 12 = 180 people.
The park runs this ride 3 times each hour.
We have to find how many people can ride the wild river in 1 hour if all of the rafts are used and each raft is full?
Then, <em>total people count who take ride = number of rides x number of people per ride
</em>
= 3 x 180 = 540
Hence, 540 people can take ride in 1 hour.
Answer:
see below
Step-by-step explanation:
The sum of the interior angles is 180
<1 + <2 + <4 = 180
<1 + 31+ <4 = 180
<1 + <4 = 180-31
<1 + <4 = 149
<2 + <3 = 180 because it forms a straight line
31 + <3 = 180
<3 = 180-31
<3 = 149
Setting theses equal (since they are both equal to 149)
<1 + <4 = <3
The exterior angle is equal to the sum of the opposite interior angles
