Answer:
BCD is the outer angle of triangle ABC
=> BCD = ABC + BAC
<=> 150⁰ = ABC + 118⁰
=> ABC = 150⁰ - 118⁰
<=> ABC = 32⁰
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%.
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
Answer:
no
Step-by-step explanation:
3^3=27
so 3^3+3^3+3^3=27+27+27=81
3^9=19683
Answer:
Yes, it's an arithmetic sequence.
Step-by-step explanation:
Each term in this sequence is 4 more than the previous term. Therefore we have an arithmetic sequence.
Profits are simply the difference between the selling price and the cost price of an item.
The expression that represents the total profit is 3850x - 22100
The profit (p1) on the first item is given as:

The profit (p2) on the second item is given as:

So, the total profit (p) on the sales of both items is:

Substitute known values

Collect like terms


Hence, the expression that represents the total profit is 3850x - 22100
Read more about profits at:
brainly.com/question/23103804