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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11