TIM A BT
A/30=28/24
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\(\frac{a}{30}=\frac{28}{24}\)
=> 30.28 = 24.a
=> a = 30.28 : 24
=> a = 35
Đáp số : a=35
Dat tu so la Z ta có 282.z + z = 785.z = (2830+2826+2822+....+282)+(2828+2824....+284+1)= Mẫu số
Nên A = 1/785
28/24 bang 7/6
vay A bang 35 vi 28/24 bang 7/6 bang 35/30
Đặt \(A=\frac{5^{28}+5^{24}+.........+5^4+1}{5^{30}+5^{28}+5^{26}+.....+5^2+1}=\frac{B}{C}\)
Xét tử \(B=5^{28}+5^{24}+........+5^4+1\)
\(\Rightarrow5^4.B=5^{32}+5^{28}+........+5^8+5^4\)
\(\Rightarrow625.B=5^{32}+5^{28}+........+5^8+5^4\)
\(\Rightarrow625.B-B=624.B=5^{32}-1\)
\(\Rightarrow B=\frac{5^{32}-1}{624}\)
Xét mẫu \(C=5^{30}+5^{28}+5^{26}+........+5^2+1\)
\(\Rightarrow5^2.C=5^{32}+5^{30}+5^{28}+.........+5^4+5^2\)
\(\Rightarrow25.C=5^{32}+5^{30}+5^{28}+........+5^4+5^2\)
\(\Rightarrow25.C-C=24.C=5^{32}-1\)
\(\Rightarrow C=\frac{5^{32}-1}{24}\)
\(\Rightarrow A=\frac{B}{C}=\frac{5^{32}-1}{624}:\frac{5^{32}-1}{24}=\frac{5^{32}-1}{624}.\frac{24}{5^{32}-1}=\frac{24}{624}=\frac{1}{26}\)
\(\frac{24\times14\times30}{28\times12\times60}\)
\(=\frac{24}{12}\times\frac{28}{14}\times\frac{60}{30}\)
\(=2\times2\times2\)
\(=8\)
a: \(-\frac{10}{3}+\frac{13}{10}-\frac16+\frac{7}{10}\)
\(=\left(-\frac{10}{3}-\frac16\right)+\left(\frac{13}{10}+\frac{7}{10}\right)\)
\(=-\frac{21}{6}+\frac{20}{10}=-\frac72+2=-\frac32\)
b: \(1-\frac{20}{6}+\frac{39}{30}-\frac{4}{24}+\frac{34}{50}\)
\(=1-\frac{20}{6}+\frac16+1,3+0,68\)
\(=1-\frac{19}{6}+1,98=2,98-\frac{19}{6}=\frac{298}{100}-\frac{19}{6}=\frac{-56}{300}=\frac{-14}{75}\)
c: \(\frac{15}{24}-\frac{6}{26}+\frac{28}{48}-\frac{30}{39}+\frac{10}{24}\)
\(=\left(\frac{15}{24}+\frac{10}{24}+\frac{28}{48}\right)-\left(\frac{3}{13}+\frac{10}{13}\right)\)
\(=\left(\frac{25}{24}+\frac{14}{24}\right)-1=\frac{39}{24}-1=\frac{15}{24}=\frac58\)
d: \(-\frac{5}{10}+\frac{12}{28}-\frac{3}{27}-\frac{7}{18}+\frac{20}{35}\)
\(=-\frac12+\frac37-\frac19-\frac{7}{18}+\frac47\)
\(=\left(-\frac12-\frac19-\frac{7}{18}\right)+\left(\frac37+\frac47\right)=-1+1=0\)
\(\frac{A}{30}=\frac{28}{24}\)
\(\Rightarrow A=\frac{30.28}{24}=35\)
Vậy...
a/30 = 28/24
suy ra a.24 = 30.28
suy ra a.24 = 840
suy ra a= 840 : 24
suy ra a= 35