Answer:
Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.
If we call the number of cars c, then our proportion is 3/10 = c/100.
Cross multiplying, we get 10c = 300.
Dividing both sides by 10, c = 30.
#15(A)
First Bike
$380 - $190 ($380 * 0.50) = $190
2nd Bike
$380 - $114 ( $380 * 0.30) = $266
$266 - $53.20 ($266 * 0.20) = $212.80
#15 (B)
Eliza should buy the first bike because it is cheaper. $190 < $212.80
#16
$57 + $28.50 ($57 * .50) = $85.50
The formula for slope is
m= (y₂-y₁)/(x₂-x₁)
you can plug in the points that you are given to find the slope
m= (-1-2)/(2-(-4)
m= -3/6
the slope is -3/6 which reduced to -1/2
so the answer would be
c) -1/2
hope this helped!
Answer:
I want to show you how to do this as well, the formula you are working with is a^2+b^2=c^2
Step-by-step explanation:
1.) 8^2+b^2=12^2
64+b^2=144
subtract 64 from both sides
b^2=80
take the square root of 80 and you get
b= 8.9
if you need more help on this let me know, I am going to list the other answers now because to do it all and show work on here is a lot of typing, all of which I will do if you do not understand the first example. Also the c value can ONLY BE THE HYPOTENUSE VALUE. The hypotenuse is the longest side of the triangle. For example, 12 would be the C value on number one and in number two it would be 15.
2.) 14.5
3.) 10.3
4.) 18.8
5.) 8
6.) 15
Answer:
let alpha be x and beta be y
Step-by-step explanation:
x+y= -b/a
x+y=-1/6
and xy= c/a
xy= -1/3
according to question
1/x+1/y -xy =(x+y)/xy-xy
(-1/6)/(-1/3)-(-1/3)
1/2+1/3
the answer is 5/6