Of the animals at a pet show, 3/8 were cats and 4/8 were dogs . the rest of the animals were rabbits. what fraction of the animals at the pet show were rabbits

The fraction of the animals at the pet show were rabbits = 1/8

Step-by-step explanation:

It is given that,

In a pet show 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits.

To find the fraction of rabbits

Let 'x' be the fraction of rabbits the we can write

3/8 + 4/8 + x = 1

7/8 + x = 1

x = 1 - 7/8

x = (8 - 7)/8

x = 1/8

Therefore, the  fraction of the animals at the pet show were rabbits = 1/8

Step-by-step explanation:

The total animals at the pet show is represented with:

Then, knowing that  3/8  of the total animals were cats, 4/8 of the total animals were dogs and the rest were rabbits, and you need to find the fraction  of the animal pet show that were rabbits, you can make the following subtraction:

Therefore:  of the animals of the pet show were rabbits.

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