Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50
<u>Step-by-step explanation:</u>
Let x represent the original price, then
8x(1.45) < $500
x < $43.10
Increase is 0.45x
0.45($43.10)
= $19.40
Final price is Original + Increase
$43.10 + $19.40
= $62.50
ANSWER
EXPLANATION
To find the number of balloons that are purple, we have to find six-sevenths of 35.
That is:
That is the number of balloons that are purple.
Answer:
X= 4
PQ= 8
QR= 8
Explanation:
As shown in the diagram, the line PR is made of the lines PQ and QR. Therefore, we can assume the equation PQ+QR=PR. When using the given values in the problem and substituting them in our equation, it becomes: 2X+4X-8=16 because PQ=2X, QR=4X-8, and PR=16. Here is how x is solved for:
2X+4X-8=16 (Original equation)
6X-8=16 (Simplify by adding 2X and 4X together)
6X=24 (Add 8 to both sides to isolate X)
X=4 (Divide both sides by 6, singling X out)
Referring back to how PQ=2X and QR=4X-8 we can solve for the each now that we know the value of X.
X=4
PQ= 2X= 2*4= 8
QR= 4X-8= 4(4)-8= 16-8=8
Additionally, we can check the answer by seeing if PQ and QR add to make the value of PR, which is given as 16. This proves to be correct as 8+8=16.
**Btw the diagram is not always going to look aligned to the values of the problem. Even though Q is not centered at the midpoint, PQ and QR are equal in value. Diagrams can be deceiving if not specified as to scale!**
