1.Find n. 2. Find n. 3.Find n. 4.Find n. 2/9 = 14/n 12/18 = n/36 30/38 = 15/n 60/66 = n/22

Mathematics

1 answer:

Stels [109]3 years ago

7 0

Step-by-step explanation:

cross multiply all equations seperately

1,n=63

2.n=24

3.n=19

4.n=20

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John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

3 years ago

How do you simplify this equation

dezoksy [38]

$\bf \cfrac{\quad2-\frac{4}{x+2} \quad }{5+\frac{10}{x+2}}\implies \cfrac{\stackrel{LCD~of~x+2}{\frac{2(x+2)-4}{x+2}}}{\stackrel{LCD~of~x+2}{\frac{5(x+2)+10}{x+2}}}\implies \cfrac{\stackrel{distributing}{\frac{2x+4-4}{x+2}}}{\stackrel{distributing}{\frac{5x+10+10}{x+2}}}\implies \cfrac{\quad\frac{2x}{x+2} \quad }{\frac{5x+20}{x+2}} \\\\\\ \cfrac{2x}{\underline{x+2}}\cdot \cfrac{\underline{x+2}}{5x+20}\implies \cfrac{2x}{5x+20}\implies \cfrac{2x}{5(x+4)}$