Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,
= 
So that for , n = 5 and r = 2.
= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.
= 5 * 4
= 20
Therefore,
= 20
So that the correct option is D.
Answer:
Circle
Step-by-step explanation:
The definition of a circle is the set of points equidistant from a given point. Since all points are equidistant from this given point, the center, the radius is the same all throughout the circle; the only way to have all points equidistant is to travel around the center 360 degrees.
Answer:
she needs 3 3/4 yards more to make a quilt
Step-by-step explanation:
Total cloth needed = 10 1/2 yards
she has a total of = 2 1/2 + 4 1/4
= 2+4 + 1/2 +1/4
=6 + 2+1/4
=6 3/4 yards
she needs more = 10 1/2- 6 3/4
= 21/2- 27/4
= 42-27/4
=15/4= 3 3/4 yards
1. Since 2x2x does not contain the variable to solve for, move it to the right side of the equation by subtracting 2x2x from both sides.−3y=−2x+8-3y=-2x+8Divide each term by −3-3 and simplify.
Divide each term in −3y=−2x+8-3y=-2x+8 by −3-3.<span><span>−3y−3=−2x−3+8−3</span><span>-3y-3=-2x-3+8-3</span></span>Simplify the left side of the equation by canceling the common factors.
<span><span>y=−<span>2x−3</span>+<span>8−3</span></span><span>y=-<span>2x-3</span>+<span>8-3</span></span></span>Simplify each term.
y=<span><span>2x</span>3</span>−<span><span>83
Sorry i only knew the first one </span></span>
Answer:
a) t = 4000/v
b) t = 4000/(v + 20)
c) see attached workings
Step-by-step explanation:
a) A man jogs 4 km everyday at an average speed of v m/min
As the speed is measured in <u>meters per minute</u>, we need to convert the distance (4 km) into meters:
1 km = 1000 m
⇒ 4 km = 4 x 1000 = 4000 m
distance = speed x time
⇒ time = distance / speed
⇒ t = 4000/v (where t = time in minutes)
b) If his average speed increased by 20 m/min, then his speed would now be (v + 20) m/min
⇒ t = 4000/(v + 20) (where t = time in minutes)
c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:
t - 3 = 4000/(v + 20)
Now simply substitute the first equation t = 4000/v into the second:
(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).
