twice a number: 2x
is 27 more than half the number: 1/2x
2x = 1/2x + 27
Isolate the x. Subtract 1/2x from both sides
2x (-1/2x) = 1/2x (-1/2x) + 27
2x - 1/2x = 27
1.5x = 27
Isolate the x. Divide 1.5 from both sides
1.5x/1.5 = 27/1.5
x = 27/1.5
x = 18
18 is the number
hope this helps
1. The force necessary to gain a velocity of 60 m/s within 5 mins is 40 N
2. The velocity gained by the object at the end of the second minute is 30 m/s
<h3>1. How to determine the force</h3>
- Initial velocity (u) = 0 m/s
- Final velocity (v) = 60 m/s
- Mass (m) = 200 Kg
- Time (t) = 5 ms = 5 mins = 5 × 60 = 300 s
- Force (F) =?
F = m(v –u) / t
F = 200(60 – 0) / 300
F = 40 N
<h3>2. How to determine the velocity </h3>
- Force (F) = 150 N
- Mass (m) = 600 Kg
- Initial velocity (u) = 0 m/s
- Time (t) = 5 ms = 2 mins = 2 × 60 = 120 s
- Final velocity (v) = ?
F = m(v –u) / t
Cross multiply
m(v –u) = Ft
Divide both sides by m
v - u = Ft / m
v - 0 = (150 × 120) / 600
v = 30 m/s
Learn more about momentum:
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Answer:
Here, , hence the quadratic equation has two distinct real roots.
Step-by-step explanation:
Given quadratic equation is .
Let, the quadratic equation is [where, are the constants]
The Discriminant
Case : , if the discriminant is greater than , it means the quadratic equation has two real distinct roots.
Case : , if the discriminant is less than , it means the quadratic equation has no real roots.
Case : , if the discriminants is equal to , it means the quadratic equation has two real identical roots.
Now,
we have , where
∴
Here, , hence the quadratic equation has two distinct real roots.
Answer:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67