Answer:
so the which page that will have the 3 sticker, we must solve the least common multiple of 30, 50, 60. A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.
so the least common multiple of 30, 50 and 60 is 300. so the page that will have 3 stickers is 300th page
Step-by-step explanation:
Answer:
8 1/12
Step-by-step explanation:
13 1/4 - 5 1/3 = (13-5) + (1/4 - 1/3)
= 8 + (4/12 - 3/12)
= 8 1/12
Answer:
The amount driven would be 275, and the cost for both plans will be 77.75$
Step-by-step explanation:
make both equations
y=0.09x+53
y=0.13x+42
set them equal to each other and solve for x to get the distance
take that number and put it in one equation and solve for y to get the price of the plan for that value
Answer:
it is 358
Step-by-step explanation:
Hope this helped have an amazing day!
Answer:
![\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%2B%202%5Csqrt%7B3%7D%7D%7B2%7D%5Ctextrm%7B%20and%20%7D%5Cfrac%7B-3-%202%5Csqrt%7B3%7D%7D%7B2%7D)
Step-by-step explanation:
![3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12](https://tex.z-dn.net/?f=3%282b%2B3%29%5E%7B2%7D%3D36%5C%5C%5Cfrac%7B3%282b%2B3%29%5E%7B2%7D%7D%7B3%7D%3D%5Cfrac%7B36%7D%7B3%7D%5C%5C%282b%2B3%29%5E%7B2%7D%3D12)
Taking square root both sides, we get
![\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282b%2B3%29%5E%7B2%7D%7D%3D%5Cpm%20%5Csqrt%7B12%7D%5C%5C2b%2B3%3D%5Cpm%20%5Csqrt%7B4%5Ctimes%203%7D%5C%5C2b%2B3%3D%5Cpm%202%5Csqrt%7B3%7D%5C%5C2b%2B3-3%3D%5Cpm%202%5Csqrt%7B3%7D-3%5C%5C2b%3D-3%5Cpm%202%5Csqrt%7B3%7D%5C%5Cb%3D%5Cfrac%7B-3%5Cpm%202%5Csqrt%7B3%7D%7D%7B2%7D%5C%5Cb%3D%5Cfrac%7B-3%2B%202%5Csqrt%7B3%7D%7D%7B2%7D%5Ctextrm%7B%20or%20%7Db%3D%5Cfrac%7B-3-%202%5Csqrt%7B3%7D%7D%7B2%7D)
Therefore, the values of
are:
![\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%2B%202%5Csqrt%7B3%7D%7D%7B2%7D%5Ctextrm%7B%20and%20%7D%5Cfrac%7B-3-%202%5Csqrt%7B3%7D%7D%7B2%7D)