Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Answer:
9x + 6
Step-by-step explanation:
<u>Step 1: Distribute</u>
5x + (x + 6) + 3x
5x + x + 6 + 3x
<u>Step 2: Combine like terms</u>
5x + x + 6 + 3x
9x + 6
Answer: 9x + 6
6 = 2(x + 8) - 5x
6 = 2x + 16 - 5x
6 = 16 - 3x
3x = 16 - 6 = 10
x = 10/3
Answer: 10 people can/ 12.50+16.25x is less than or equal to 175
Step-by-step explanation: so parking is constant since it doesn't change. ticket price however is affected by a variable which represents ticket per person which is shown as 12.50(parking)+16.25x where x would equal the max amount of people while respecting the given 175 limit we cannot go over
Answer:
.
Step-by-step explanation:
We have been given an expression and we are asked to simplify our given expression.
Using order of operations (PEMDAS) we will remove parenthesis first.
After removing parenthesis our expression will be,
After canceling out 1 with -1 we will get,
So our given expression simplifies to .
Let us write our expression in standard form. Since our expression is a polynomial and to write any polynomial in standard form, we write each term in order of degree, from highest to lowest, left to right.
Upon putting our polynomial into standard form we will get,
Therefore, after simplifying and putting our given expression in standard form we get our final expression as: .
