Two children want to share 1 cake so they each get the same amount. How much cake will each child get? Four children want to share 1 cake. How much cake will each child get? Eight children want to share 1 cake. How much will each child get?

1/2

1/4

1/8

Step-by-step explanation:

We can use fractions to convey an amount that is less than 1 (the whole).

In a fraction, the denominator (on bottom) represents the total amount of parts there are of something. The numerator (on top) represents how many parts of the whole we are looking at in a specific instance.

For the two children, sharing a cake, the cake is split into two parts, so the denominator is 2. The numerator is 1 because each child gets 1 piece.

For the four children, there are four available parts and each child gets 1 part.

For the eight children, there are eight available parts and each child gets 1 part.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.