Step-by-step explanation:
![\bold{1.}\\\\\ mmnn=m^2n^2=(mn)^2\\\\\bold{2.}\\\\3x=5+7\\3x=12\qquad\text{divide both sides by 3}\\x=4\\\\\bold{3.}\\\\\dfrac{x}{3}=7\qquad\text{multiply both sides by 3}\\x=21\\\\\bold{4.}\\\\0.5x=12\qquad\text{multiply both sides by 2}\\1x=24\\x=24\\\\\bold{5.}\\\\4x-6=2x+4\qquad\text{add 6 to both sides}\\4x=2x+10\qquad\text{subtract 2x from both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5](https://tex.z-dn.net/?f=%5Cbold%7B1.%7D%5C%5C%5C%5C%5C%20mmnn%3Dm%5E2n%5E2%3D%28mn%29%5E2%5C%5C%5C%5C%5Cbold%7B2.%7D%5C%5C%5C%5C3x%3D5%2B7%5C%5C3x%3D12%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5Cx%3D4%5C%5C%5C%5C%5Cbold%7B3.%7D%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B3%7D%3D7%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5Cx%3D21%5C%5C%5C%5C%5Cbold%7B4.%7D%5C%5C%5C%5C0.5x%3D12%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C1x%3D24%5C%5Cx%3D24%5C%5C%5C%5C%5Cbold%7B5.%7D%5C%5C%5C%5C4x-6%3D2x%2B4%5Cqquad%5Ctext%7Badd%206%20to%20both%20sides%7D%5C%5C4x%3D2x%2B10%5Cqquad%5Ctext%7Bsubtract%202x%20from%20both%20sides%7D%5C%5C2x%3D10%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5Cx%3D5)
![\bold{6.}\\\\3x^2\ for\ x=6\ /\text{put x = 6 to the expression}/\\\\3(6)^2=3(36)=108\\\\\bold{7.}\\\\3y^2+2y\ for\ y=3\ /\text{put y = 3 to the expression}/\\\\3(3)^2+2(3)=3(9)+6=27+6=33](https://tex.z-dn.net/?f=%5Cbold%7B6.%7D%5C%5C%5C%5C3x%5E2%5C%20for%5C%20x%3D6%5C%20%2F%5Ctext%7Bput%20x%20%3D%206%20to%20the%20expression%7D%2F%5C%5C%5C%5C3%286%29%5E2%3D3%2836%29%3D108%5C%5C%5C%5C%5Cbold%7B7.%7D%5C%5C%5C%5C3y%5E2%2B2y%5C%20for%5C%20y%3D3%5C%20%2F%5Ctext%7Bput%20y%20%3D%203%20to%20the%20expression%7D%2F%5C%5C%5C%5C3%283%29%5E2%2B2%283%29%3D3%289%29%2B6%3D27%2B6%3D33)
Answer:
61
Step-by-step explanation:
since it is a right angle, you subtract 90 by 29 to get 61
Answer:
27
Step-by-step explanation:
Lets find the rate of selling:
Let v= the rate of selling, b = number of bottles of water, and t = time:
b over t gives us the
rate of selling:
3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:
(0.15) * 180 = 27 bottles of water
Answer:
the third one
Step-by-step explanation:
Answer:
1739 Reference Books Sold.
Step-by-step explanation:
Do this problem, we have to convert 34% to a decimal by taking the whole number value of the percent then dividing by 100. This gives us 0.34.
We can then take 4700 and multiply it by 0.34 and get 1739.
This also means that 0.66 is left over to be sold that hasn't sold in the month,
Take .66 and multiply it by 4700 to get 3102.
As long as 3102+1739=4700 is true, this means we have accounted for all values in the pie chart. At this point, we know from this that 1739 is the number of reference books sold out of the 4700.