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4 years ago

Simplify. Show your work. 5 1/3 + (-3 9/18)

Mathematics

2 answers:

Feliz [49]4 years ago

6 0

Answer: Simplified form is

$1\frac{5}{6}$

Step-by-step explanation:

Since we have given that

$5\frac{1}{3}-3\frac{9}{18}$

Now, we will simplify it with the following steps :

$5\frac{1}{3}-3\frac{9}{18}\\\\=\frac{16}{3}-3\frac{1}{2}\\\\=\frac{16}{3}-\frac{7}{2}\\\\=\frac{32-21}{6}\\\\=\frac{11}{6}\\\\=1\frac{5}{6}$

Hence, simplified form is

$1\frac{5}{6}$

FromTheMoon [43]4 years ago

5 0

Make 1/3 = 6/18. 5 + (-3) = 2. 6/18 + 9/18 = 15/18. Simplify 15/18 divide each number by 3. 15 / 3 = 5/ 18 / 3 = 6. 5/6 All together the answer is 2 5/6

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Solve using substitution method: X= y/3 +2 7x − 5y = 10 Solve for (x,y)

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$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:x = 5/2$

$\qquad \tt \rightarrow \: y = 3/2$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2 \: \: \: \: \: \: \: \: - (1)$

$\qquad \tt \rightarrow \: 7x -5 y = 10 \: \: - (2)$

$\textsf{put value of x in equation 2}$

$\qquad \tt \rightarrow \: 7 \bigg( \cfrac{y}{3} + 2 \bigg) - 5y = 10$

$\qquad \tt \rightarrow \: \cfrac{7y}{3} + 14 - 5y = 10$

$\qquad \tt \rightarrow \: \cfrac{7y}{3} - 5y = 10 - 14$

$\qquad \tt \rightarrow \: \cfrac{7y - 15y}{3} = - 4$

$\qquad \tt \rightarrow \: - 8y = - 4(3)$

$\qquad \tt \rightarrow \: y = \cfrac{ - 12}{ - 8}$

$\qquad \tt \rightarrow \: y = \cfrac{ 3}{ 2}$

$\textsf{put value of y in equation 1 }$

$\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2$

$\qquad \tt \rightarrow \: x = \bigg (\cfrac{3}{2} \sdot\cfrac{1}{3} \bigg) + 2$

$\qquad \tt \rightarrow \: x = \cfrac{1}{2} + 2$

$\qquad \tt \rightarrow \: x = \cfrac{1 + 4}{2}$

$\qquad \tt \rightarrow \: x = \cfrac{5}{2}$

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Answer:

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Step-by-step explanation:

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Answer:

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I think its d.... but dont listen to me.

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IRINA_888 [86]

Answer: See below

Step-by-step explanation:

$100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20$

$\mathrm{Divide\:both\:sides\:by\:}100$

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$Simplify$

$\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}$

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$\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

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$\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)$

$\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)$

$\mathrm{Multiply\:both\:sides\:by\:}214$

$\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)$

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$\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)$

$\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}$

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3 years ago

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