√a x √b =√axb so find 2 numbers that multiple to make the number (1 must be a square number)
√90 can be split into √9 x √10 and √9 is 3 so is 3√10 and the next questions are solved the same
√306 is 3√34
√73 is 3√8
√236 is 2√59
√3600 is 60
√5120 is 8√80
First question: So, we know a fence that is 3 sections long, requires 4 posts and 6 rails.
Now, we have to use this kind of fence (3 sections, 4 posts, 6 rails) to fence off a yard. The yard is rectangular, and is 6 sections long and 3 sections wide.
Since we know the fence we are using is 3 sections wide, we have to count how many of them we’ll be using for the yard.
We know all four sides of the rectangle - two sides are 3 sections long, and the other two are 6 sections long.
Our fence is 3 sections, so we can already use 2 of those for the two sides of 3 sections. We multiply the number of rails and posts by two (since we are using two of these fences) and get 8 posts and 12 rails. We’ll keep this in mind.
Now, for the other two sides: they are both 6 sections long. We know that 3+3=6, thus one of those sides would be 2 fences long, or 3 sections times 2. We have two of these 6 section sides, so we actually would be using 12 sections (6*2), or in other words, we’d use this fence 4 times (4*3). We multiply the rails and posts by 4, and get 16 posts and 24 rails.
We use the 8 posts and 12 rails from earlier and add the number of the posts and rails we got just now: 16p and 24r, and get a total of 24 posts and 36 rails.
As for the second question, even I’m having a tough time. I’ll get back to you if I can solve it.
No, because let’s say for example that something cost $100.00 so you take 20% (or $20) off of the 100 and you’re left with $80.00. Well then you have your 10% off coupon so you take 10% off of 80, which is 8 dollars. So now you’re at $72.00.
But if we just took off 30% from 100 originally, you would be at $70.00
So no it wouldn’t be the same. If you wanted to check the idea yourself just use different numbers and see if they match at the end.
56 divided by 8 = 7
Hope it helps :)
Answer:
Number : 42
Step-by-step explanation:
This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.
In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,
y = z + 2,
z / y = 1 / 2
Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.
z / z + 2 = 1 / 2 ( Cross - Multiply )
z + 2 = 2z, z = 2
And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.
