Answer:
option a) 30 : 19
Step-by-step explanation:
<em><u>Ratio of length to width:</u></em>
<em><u></u></em>
The last dot to the right would be the total distance.
So at 6 pm he had traveled 45 km.
The answer is 45.
X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )
We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)
We can solve this system by substitution method.
x+y=120 ⇒ y=120-x
0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35
y=120-x=120-35=85
Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.
Answer:
3.root 15 feet
Step-by-step explanation:
To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.
The length of the ladder is the opposite which is the last side of the complete triangle.
Hence, to find this side we use s^2 = 12^2 - 3^2
S^2 = 144 -9
S^2 = 135
S= square root of 135 = 3.root15 feet
Check the formula of future value of annuity ordinary (through Google)
FVOA=100[((1+0.13/12)^(12)-1/(0.13/12)]
FVOA=1274.15
