Answer:
I believe this is the answer 9/(5 + 8x)
An integer may be a multiple of 3.
An integer may be 1 greater than a multiple of 3.
An integer may be 2 greater than a multiple of 3.
It is redundant to say an integer is 3 greater than a multiple of 3 (that's just a multiple of 3, we've got it covered). Same for 4, 5, 6, 7...
Let's consider a number which is a multiple of 3. Clearly, we can write 3+3+3+3+... until we reach the number. It can be written as only 3's.
Let's consider a number which is 2 greater than a multiple of 3. If we subtract 5 from that number, it'll be a multiple of 3. That means we can write the number as 5+3+3+3+3+... Of course, the number must be at least 8.
Let's consider a number which is 1 greater than a multiple of 3. If we subtract 5 from that number, it'll be 2 greater than a multiple of 3. If we subtract another 5, it'll be a multiple of 3. That means we can write the number as 5+5+3+3+3+3+... Of course, the number must be at least 13.
That's it. We considered all the numbers. We forgot 9, 10, 11, and 12, but these are easy peasy.
Beautiful question.
Answer:
she used for two times
so 2.35*2=4.7
her account balance charges for 4.7
First one is correct hope this helped
Answer:
![x=11](https://tex.z-dn.net/?f=x%3D11)
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
![leg=x\\hypotenuse=x\sqrt{2}](https://tex.z-dn.net/?f=leg%3Dx%5C%5Chypotenuse%3Dx%5Csqrt%7B2%7D)
Therefore, the value of x is 11.
You can double-check using the sine ratio:
![sineX=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sineX%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Insert the values:
![sin45=\frac{x}{11\sqrt{2} }](https://tex.z-dn.net/?f=sin45%3D%5Cfrac%7Bx%7D%7B11%5Csqrt%7B2%7D%20%7D)
Insert the equation into a calculator:
![x=11](https://tex.z-dn.net/?f=x%3D11)
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.