Hello!
We need to find a denominator that both fractions can be. /63 works perfectly because 7x9 = 63. 3 x 9 = 27, and 4 x 7 = 28. Since 28/63 is bigger than 27/63, ramundus puts more money into car expenses.
Part a)
we have that
<span>√72
</span>√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
<span>
</span><span>alternative method</span><span>
72 is equal to-------> 2</span>³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2
Part b)<span>Estimate the square root of 72 to the nearest tenth
</span>
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5
the answer Part b) is 8.5
The ratio given says this - 3 puppies : 2 adults = 5 total dogs
You are given (?) puppies : (?) adults = 80 total dogs
In this case, you are trying to find the number of puppies, so you do not need to care about the number of adults. You need to compare the ratio with the actual amount.
Total/puppies = total/puppies
5/3 = 80/(?)
Now, cross multiply.
5(?) = 240
Divide both sides by 5 and you get your answer.
(?) = 48