Answer:
50 and 30.94
Step-by-step explanation:
The coat cost 46.5 pounds after a 7 percent reduction
so we can write:
- 46.5⇒ (100-7)⇒ 93 percent
- x(the initial price) ⇒ 100 percent
using the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
The jumper costs 32.8 pounds after an increase of 6 percent
so:
- 32.8⇒(100+6)⇒ 106 percent
- x (the initial price)⇒ 100 percent
using proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
I know you have a problem
We will be using the formulas:
speed=distance/time
time=distance/speed
distance=speed×time
First let's find out Diane's rate of swimming. We can measure this by finding the slope (y/x) of a given coordinate on the graph. One point is (10,15), so you do 15/10=1.5m/s
Now for Rick's rate of swimming, just take a pair of values from the table. 12.5/10=1.25m/s
By the way m/s is metres per second for this
So at a constant speed of 1.5m/s, Diane swam 150m in 150/1.5= 100 seconds, or 1 minute 40 seconds
And at a constant speed of 1.25m/s, Rick swam 150m in 150/1.25= 120 seconds, or 2 minutes.
So the difference between their two times is 20 seconds
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Answer:
a) - 11x - 94y / 12 b) x -4 / 5- 3x c) 12x - 11 /10y
Step-by-step explanation:
a) 2x - 6y / 4 - 4y - x/ 12 - 4x - 20y /3
6x - 18y / 12 - 4y - x / 12 - 16x - 80y / 12
= 5x - 14y / 12 - 16x - 80y / 12
- 11x - 94y / 12
b) x /5 - 4/ 3x = x -4 / 5- 3x
c) 2x -3/ 5y - 5- 2x / 10y + x/y
4x - 6 /10y - 5-2x/ 10y + 10x / 10y
2x - 11 / 10 + 10x / 10y
= 12x - 11 /10y
