the unscented candles burn faster at a rate of (1/3) inches/ hour
Step-by-step explanation:
scented candles:
(1/12) / (20/60) = 1/4 inches/ hour
unscented candles:
(1/6) / (30/ 60) = 1/3 inches/ hour
hope it helps!
That graph is a horizontal line. It crosses the y-axis at the point where y=4, and it keeps going forever in both directions ... left and right.
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
25.19
Step-by-step explanation:
Change the percentage into a decimal. 30% is the same as saying 30/100.
This is 30 hundredths and in decimal form, it looks like this:
0.30 since 30/100 is the same as 3/10
To find out how much of a discount he gets, multiply 0.30 times 35.99.
0.30 x 35.99 = 10.797 which rounds up to 10.80.
This means he gets 10.80 off of the original price.
To find out what the new price is, subtract that from the original price.
35.99 - 10.80 = 25.19
So, we know that
4/5n = 2/3
n = 2/3 x 5/4 . . . . .. if fraction is moved to other side of the equation the numerator and denominator will be swithced
n = 10/12 ......................... divide numerator and denominator by 2
n = 5/6
The answer is Fraction 5 over 6