Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
Answer:
20
Step-by-step explanation:
suppose the number is x
so
(x-8) * 2 =24
x-8=12
x=12+8
x=20
Answer: 
Step-by-step explanation:
You need to use the following formula:
Where "r" is the radius and 
is is the central angle of the arc in radians.
Assuming that that the angle 
is the central angle of the arc, and knowing that the radius is 7 centimeters, you can substitute values into the formula.
Therefore, you get:
Answer:
The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Join those two points with a straight line and get the graph.
Step-by-step explanation:
The intercept form of a straight line equation is 
, where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).
So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.
Given equation is x + y = 2
⇒ 
Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)
A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:
n!/((n-r)!r!)
In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.
5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5
5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10
5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10
5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5
Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.
Now we add together the combinations
1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.
The answer is 32.
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Note: There is also an equation for permutations which is:
n!/(n-r)!
Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.
We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.
I hope this helps! If you have any questions, let me know :)
