Answer:
see below
Step-by-step explanation:
Lets get a common denominator
2/3 *2/2 = 4/6
1/2 * 3/3 = 3/6
4/6 > 3/6
2/3 > 1/2
Answer: E = 56
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = 49
k = 8
E = ?
E = k√C
E = 8 × √49
E = 8 × 7
E = 56
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
The train's rate 140 mph. 700 divided by 5 equals 140.
Answer:
2)
collect like terms
move the constant to the right hand side and change its sign.
Subtract the numbers
Divide both sides of the equation by 8
