Answer:
1. 3/4 2. -1/3
Step-by-step explanation:
#1:
Given rise/run, the rise is 3, and the run, is 4, so... 3/4
#2:
Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.
1 4/5 or 9/5 cups of flour because 4.5/2.5=1.8=9/5
The answer is 9m.
Because 9 - 5 = 4 (difference) and (9)(5) = 45.
Done by trial and error.
This is a mixture problem.
mass1 * karat1 + mass2*karat = total mass * total carat
Total mass = 200g.
Total karat = 14.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.
Answer:
Distance from Fresno where both cars meet = 210 - 150 = 60 miles
Step-by-step explanation:
let x = distance travelled by A from Sacramento
y = distance travelled by B from Los Angeles
t = time after 12 noon that they meet
x = 50(t + 1)
y = 400 - x = 75(t) or x = 400 - 75t
so: 50(t + 1) = 400 - 75t
50t + 50 = 400 - 75t
50t + 75t = 400 - 50
t = 2,8 hrs
so y = 400 - 75(2.8) = 210 miles from Los Angeles
distance from Fresno where both cars meet = 210 - 150 = 60 miles