Answer:
3.) True
4.) False
5.) True
Step-by-step explanation:
Answer: The mixed number ![11\frac{5}{7}](https://tex.z-dn.net/?f=11%5Cfrac%7B5%7D%7B7%7D)
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Work Shown:
![1\frac{2}{5} = 1+\frac{2}{5}\\\\3\frac{2}{7} = 3+\frac{2}{7}\\\\1\frac{2}{5}+3\frac{2}{7} = (1+\frac{2}{5}) + (3+\frac{2}{7})\\\\1\frac{2}{5}+3\frac{2}{7} = (1+3)+(\frac{2}{5}+\frac{2}{7})\\\\1\frac{2}{5}+3\frac{2}{7} = 4+(\frac{2*7}{5*7}+\frac{2*5}{7*5})\\\\1\frac{2}{5}+3\frac{2}{7} = 4+(\frac{14}{35}+\frac{10}{35})\\\\1\frac{2}{5}+3\frac{2}{7} = 4+\frac{14+10}{35}\\\\1\frac{2}{5}+3\frac{2}{7} = 4+\frac{24}{35}\\\\1\frac{2}{5}+3\frac{2}{7} = 4\frac{24}{35}\\\\](https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B5%7D%20%3D%201%2B%5Cfrac%7B2%7D%7B5%7D%5C%5C%5C%5C3%5Cfrac%7B2%7D%7B7%7D%20%3D%203%2B%5Cfrac%7B2%7D%7B7%7D%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%20%281%2B%5Cfrac%7B2%7D%7B5%7D%29%20%2B%20%283%2B%5Cfrac%7B2%7D%7B7%7D%29%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%20%281%2B3%29%2B%28%5Cfrac%7B2%7D%7B5%7D%2B%5Cfrac%7B2%7D%7B7%7D%29%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%204%2B%28%5Cfrac%7B2%2A7%7D%7B5%2A7%7D%2B%5Cfrac%7B2%2A5%7D%7B7%2A5%7D%29%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%204%2B%28%5Cfrac%7B14%7D%7B35%7D%2B%5Cfrac%7B10%7D%7B35%7D%29%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%204%2B%5Cfrac%7B14%2B10%7D%7B35%7D%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%204%2B%5Cfrac%7B24%7D%7B35%7D%5C%5C%5C%5C1%5Cfrac%7B2%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B7%7D%20%3D%204%5Cfrac%7B24%7D%7B35%7D%5C%5C%5C%5C)
Multiply that result by 2&1/2 to get...
![4\frac{24}{35}*2\frac{1}{2} = (4+\frac{24}{35})*(2+\frac{1}{2})\\\\4\frac{24}{35}*2\frac{1}{2} = (4+\frac{24}{35})*\frac{5}{2}\\\\4\frac{24}{35}*2\frac{1}{2} = 4*\frac{5}{2}+\frac{24}{35}*\frac{5}{2}\\\\4\frac{24}{35}*2\frac{1}{2} = \frac{4*5}{2}+\frac{24*5}{35*2}\\\\4\frac{24}{35}*2\frac{1}{2} = 10+\frac{12}{7}\\\\4\frac{24}{35}*2\frac{1}{2} = 10+1+\frac{5}{7}\\\\4\frac{24}{35}*2\frac{1}{2} = 11+\frac{5}{7}\\\\4\frac{24}{35}*2\frac{1}{2} = 11\frac{5}{7}\\\\](https://tex.z-dn.net/?f=4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%20%284%2B%5Cfrac%7B24%7D%7B35%7D%29%2A%282%2B%5Cfrac%7B1%7D%7B2%7D%29%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%20%284%2B%5Cfrac%7B24%7D%7B35%7D%29%2A%5Cfrac%7B5%7D%7B2%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%204%2A%5Cfrac%7B5%7D%7B2%7D%2B%5Cfrac%7B24%7D%7B35%7D%2A%5Cfrac%7B5%7D%7B2%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B4%2A5%7D%7B2%7D%2B%5Cfrac%7B24%2A5%7D%7B35%2A2%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%2010%2B%5Cfrac%7B12%7D%7B7%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%2010%2B1%2B%5Cfrac%7B5%7D%7B7%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%2011%2B%5Cfrac%7B5%7D%7B7%7D%5C%5C%5C%5C4%5Cfrac%7B24%7D%7B35%7D%2A2%5Cfrac%7B1%7D%7B2%7D%20%3D%2011%5Cfrac%7B5%7D%7B7%7D%5C%5C%5C%5C)
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
10x
Step-by-step explanation:
Answer:
multiply 3x-2(x+8)
Step-by-step explanation:
PEMDAS
also you must simplify both sides to solve this problem and that's the first step to simplifying this side (the other one is simplified)