Think: 1/6 gram honey for 1/10 pan of pudding. What if we mult. both sides by 10?
Then we have 10/6 gram honey for 10/10 (or 1) pan of pudding. This rerduces to 5/3 gram of honey (answer)
You could also solve this by setting up and solving an equation of 2 ratios:
1/6 1/10
----- = ----------
x 10/10
Janet invested $6000 at 2 %.
Let <em>x</em> = amount invested at 2 %. Then 10 000 - <em>x</em> = amount invested at 12 %
interest at 2 % + interest at 12 % = 600
0.02<em>x</em> + 0.12(10 000 –<em> x</em>) = 600
0.02<em>x</em> + 1200 – 0.12<em>x</em> = 600
0.10<em>x</em> = 600
x = 600/0.10 = 6000
Answer:
distance driven < 300 miles.
Step-by-step explanation:
Plan A
She needs the car for 3 days.
1 day costs 60 dollars
3 days cost 60*3 = 180 So this is the maximum amount that she can spend
Plan B
She still needs the car for 3 days
1 day costs 20 dollars of the car does not move
3 days costs 3*20 = 60 dollars.
60 + 0.4m < 180 Subtract 60
0.4m < 180 - 60
0.4m < 120 Divide by 0.4
m < 120/ 0.4
m < 300
Answer
so she should drive less than 300 miles.
(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4
y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2
and ur point (6,4) lies on the perpendicular line <===
