Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?

The given information is expressed in ratio. However, a ratio is basically a fraction. So, 4:10 is just equal to 4/10 or 2/5 in simplified terms. Similarly, 12:20 is just equal to 12/20 or 6/5 in simplified terms. The smaller ratio is 2/5 because the numerator is less than the denominator. So, it follows that the answer is less than 1. The other ratio has a much greater numerator. So, we would expect that that would be greater than 1.

Credit:

4:10

Step-by-step explanation:

4:10 and 12:20

a ratio is a fraction a fraction is a decimal and a decimal is a percent

so we can rewrite the numbers

4/10 and 12/20

find a common factor we can see that there is a 20 for the denominator. 4/10x2=8/20 and for 12/20 we don't have to do anything

8 is smaller than 12 so 4:10 is the smaller ratio

If you still don't get it think about this way:

4 apples:10 oranges

12 apples: 20 oranges

you can simplify so that 4/10 is 2/5 and 12/20 is 3/5

so 4/10 is smaller

reminder: whatever you do to one side you do to the other :)

Pls brainliest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!