Three digits number go from 100 to 999, and thus there are 999-100+1 = 900 of them.
The multiples of ten are numbers ending with zero, so we must exclude all numbers like xy0.
The first digit, x, range from 1 to 9, while the second digit, y, range from 0 to 9.
So, to generate a multiple of ten between 100 and 999, we have 9 choices for the first digit, 10 choices for the second, while the third digit is fixed to zero.
This means that there are
multiples of ten between 100 and 999.
Since there are 900 numbers in total, there are 900-90 = 810 numbers between 100 and 999 that are not multiples of ten.
Answer:
Option A i the right option.
First blank is 110-
or 10(11-
)
Second blank is 31.898
Let me know if anything didn't make sense.
Step-by-step explanation:
So a diagonal through a rectangle makes two triangles. The question wants to know how much walking is saved walking down the diagonal vs walking along two sides that make the diagonal. in this case the two non diagonal sides walked are 60 paces and 50 paces.
A diagonal through a rectangle specifically makes a right triangle, so to find the diagonal we can use the pythagorean theorem.
c^2 = 60^2 + 50^2
c = ![\sqrt{60^2 + 50^2}](https://tex.z-dn.net/?f=%5Csqrt%7B60%5E2%20%2B%2050%5E2%7D)
c = ![\sqrt{6100} = 10\sqrt{61}](https://tex.z-dn.net/?f=%5Csqrt%7B6100%7D%20%20%3D%2010%5Csqrt%7B61%7D)
if you don't get how to simplify a radical like that let me know.
Anyway, looking at the answers you can see right away the second option says no approximation is necessary. Well, you need to approximate square root of 61, so we can say the second answer is not right. So now we need to know what to fill in for option 1.
it wants the distance saved, well we know the distance of the diagonal is
Hopefully you can see the disctance walking the two other sides is just adding them up so 50+60=110.
Now, to find the difference, that is subtraction. So subtract the smaller number from the larger number. You do need to remember with a right triangle, the sum of the to non diagonal (hypotenuse) sides are always longer than said hypotenuse. so that's 110-
. That is the exact form. Or you could use 10(11-
) They are the same.
Then just plug that into a calculator for a decimal approximation.
Answer: if you want to find the answer to a it would be 15 over the rest of them added together
Step-by-step explanation:
The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=-
Answer:
Please write in English
Step-by-step explanation: