There are 7,315 different combinations, thus, the correct option is c
<h3>
How many combinations are there?</h3>
If we have a set of N elements, the number of different combinations of K elements (such that K ≤ N) of these N elements that we can make is:
In this case we have K = 4 and N = 22, replacing that, we get:
So there are 7,315 different combinations, thus, the correct option is c.
If you want to learn more about combinations:
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First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8
then work out (3/4)² by squaring both the numerator and denominator to give: 9/16
then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.
Answer:
160 ft
Step-by-step explanation:
We have
2(length + width)= perimeter
than,
let, width =x
now,
2(x+60+x) = 520
or, 2x+60 = 260
or, 2x = 200
or, x = 100
so length is 100+60 = 160
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11
