0.8p - 50 < = 150
0.8p < = 150 + 50
0.8p < = 200
p < = 200/0.8
p < = 250
the reason I set it up this way is because when it is 20% off, u r actually paying 80% of the original price (p)....80% of the original price is written as 0.8p...then u subtract ur 50 dollar discount coupon...- 50.....and if all she can spend is 150....it would be less then or equal to 150. So the most she can spend on the phone is 250
Answer: 2
Step-by-step explanation:
By the geometric mean theorem,

Answer: For 3 Batches, 6 butter & 9 flour
For 5 Batches, 10 butter & 15 flour
Step-by-step explanation:
1 Batch = 2:3
So, whatever we times up by in batches we can do the same to the ingredients.
1 batch = 2:3
multiply 3
3 batches = 6:9
and so on…
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Given:
Original price of a TV = $499
Price increased by 15%.
To find:
The new price of the TV.
Solution:
According to the question,
New price of the TV = Original price + 15% of its original price.



Therefore, the new price of the TV is $573.85.