For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer: p - 0.2p
Step-by-step explanation:
Given the following :
Original Price of tennis racket = p
Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p
Amount after discount = Amount paid by Natasha
Amount after discount = Original price - Discount
Amount after discount = p - 0.2p
Amount paid by Natasha = p - 0.2p
Answer:
B. 18
Step-by-step explanation:
Given:
There are two chord in the circle.
These chords are divided in two segments.
Segments of 1 chord is 21 and 6.
Segments of 2 chord is x and 7.
Now by using Intersecting Chord Theorem which states,
"When two chords intersect each other inside a circle, the products of their segments are equal."
Hence from above theorem we can say that;

Hence the Value of x is 18.
Answer:
(-2, 5) < x
Step-by-step explanation:
-1.0, -3/4, 0.25, 3/2
hope this helps :D