The ratio of red to green is 5:6 which means that for every 5 red cars, there are 6 green cars

The ratio of green to blue is 3:10 telling us that for every 3 green cars, there are 10 blue cars.

The ratio 3:10 is equivalent to 6:20 after we multiply both parts by 2. This now says that for every 6 green cars, there are 20 blue cars.

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Let's say we had 5 red cars, 6 green cars and 20 blue cars
Based on that info, we know that the ratio of red to green is 5:6
And the ratio of green to blue is 6:20 which reduces to 3:10

We don't reduce 6:20 to 3:10 however, since that would change the green count from 6 to 3. We want to keep the green count at 6.

So because there are 5 red cars, 6 green cars, and 20 blue cars in this example, and this example points to the proper ratios mentioned earlier, this means that the final answer is 5:6:20. This ratio cannot be reduced or simplified as there are no common factors (other than 1) for 5, 6, and 20.

4 0

3 years ago

Can u help me please better picture

gladu [14]

Hi, there.

For this question, we can apply the Pythagorean theorem $a^2 + b^2 = c^2$ .

I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.

Lengths a and b both have the value of 48, which means that the value s in $\sqrt{2s^2}$ is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.

Plug in the value for c: $a^2 + b^2 = (\sqrt{2s^2})^2$

Plug in the value for s:

$(\sqrt{2(48^2)})^2$

Do the innermost exponents first:

$(\sqrt{2(2304)})^2$

The square root symbol and the power of 2 cancel each other out, so we are left with:

s = $2(2304)$ , so the hypotenuse is 4608 inches.

4 0

3 years ago