What is $5\frac{18}{}$ as a decimal?

Katherine Walls
2021-12-14
Answered

What is $5\frac{18}{}$ as a decimal?

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asked 2022-01-06

If $\frac{a}{b}=\frac{c}{d}$ Why does $\frac{a+c}{b+d}=\frac{a}{b}=\frac{c}{d}?$

asked 2022-08-12

Computing ${\int}_{0}^{1}\frac{1+3x+5{x}^{3}}{\sqrt{x}}\text{}dx$

My idea for this was to break each numerator into its own fraction as follows

${\int}_{0}^{1}(\frac{1}{\sqrt{x}}+\frac{3x}{\sqrt{x}}+\frac{5{x}^{3}}{\sqrt{x}})dx$

${\int}_{0}^{1}({x}^{-1/2}+3{x}^{1/2}+5{x}^{5/2})\text{}dx$

${\int}_{0}^{1}2{x}^{1/2}+2{x}^{3/2}+\frac{10}{7}{x}^{7/2}$

Not really sure where to go from there. Should I sub 1 in for the x values and let that be the answer?

My idea for this was to break each numerator into its own fraction as follows

${\int}_{0}^{1}(\frac{1}{\sqrt{x}}+\frac{3x}{\sqrt{x}}+\frac{5{x}^{3}}{\sqrt{x}})dx$

${\int}_{0}^{1}({x}^{-1/2}+3{x}^{1/2}+5{x}^{5/2})\text{}dx$

${\int}_{0}^{1}2{x}^{1/2}+2{x}^{3/2}+\frac{10}{7}{x}^{7/2}$

Not really sure where to go from there. Should I sub 1 in for the x values and let that be the answer?

asked 2022-09-13

Factorials and anti-factorials

Supposing n¡ (the inverted spanish exclamation mark - as opposed to n!) uses sequential divisions, is it always true that $n!\ast n\xa1={n}^{2}$? Example: For n = 7,

$n\xa1=7\xf76\xf75\xf74\xf73\xf72=0.00972222222222222222222222222222$. If you multiply this number by 5040 (=7!) you get 49.

I've read the directions in the help center and could not understand why it is off topic. It is like asking about the relation between $x\ast x={x}^{2}$ and $x\xf7x\xf7x\xf7x={x}^{-2}$. In fact, I could not determine if this kind of question is on-topic either. And I think there is not a sister-site that would accept such kind of questions (I checked all of them). Anyways, my question has been answered. I was lazy when I failed to do some calculations to find the answer myself. This was my very first time here. I've learned something. Thank you.

Supposing n¡ (the inverted spanish exclamation mark - as opposed to n!) uses sequential divisions, is it always true that $n!\ast n\xa1={n}^{2}$? Example: For n = 7,

$n\xa1=7\xf76\xf75\xf74\xf73\xf72=0.00972222222222222222222222222222$. If you multiply this number by 5040 (=7!) you get 49.

I've read the directions in the help center and could not understand why it is off topic. It is like asking about the relation between $x\ast x={x}^{2}$ and $x\xf7x\xf7x\xf7x={x}^{-2}$. In fact, I could not determine if this kind of question is on-topic either. And I think there is not a sister-site that would accept such kind of questions (I checked all of them). Anyways, my question has been answered. I was lazy when I failed to do some calculations to find the answer myself. This was my very first time here. I've learned something. Thank you.

asked 2021-11-12

A supermarket polled 1,000 customers regarding the size of their bill. The results are given in the table below.

$$\begin{array}{|cc|}\hline \text{Size of Bill}& \text{Number of Customers}\\ below\text{}\$20.00& 209\\ \$20.00\u2013\$39.99& 115\\ \$40.00\u2013\$59.99& 184\\ \$60.00\u2013\$79.99& 174\\ \$80.00\u2013\$99.99& 195\\ \$100.00\text{}or\text{}above& 123\\ \hline\end{array}$$

Use probability rules (when appropriate) to find the relative frequency with which a customer's bill is as stated. (Enter your answers as fractions.)

(a) less than $40.00

(b) $40.00 or more

Use probability rules (when appropriate) to find the relative frequency with which a customer's bill is as stated. (Enter your answers as fractions.)

(a) less than $40.00

(b) $40.00 or more

asked 2021-11-18

Find the difference by converting the mixed numbers to improper fractions:

$4\frac{4}{9}-3\frac{7}{9}$

asked 2021-11-17

Solve the equation below with factoring. Separate multiple solutions with a comma any reduce and fractions.

$11x-31={x}^{2}-3$

$x=?$

asked 2022-05-20

How to solve complex fractions?

$f\circ g=\frac{{\displaystyle \frac{x+3}{x-6}}-2}{{\displaystyle \frac{x+3}{x-6}}+8}$

How would I solve this complex fraction? I know what the answer is, but I am just not sure how they got there. The answer is

$\frac{-x+15}{9x-45}$

I have tried multiplying both sides by $(x-6)$ but I am getting ${x}^{2}-3x-18$? What am I doing wrong here?

$f\circ g=\frac{{\displaystyle \frac{x+3}{x-6}}-2}{{\displaystyle \frac{x+3}{x-6}}+8}$

How would I solve this complex fraction? I know what the answer is, but I am just not sure how they got there. The answer is

$\frac{-x+15}{9x-45}$

I have tried multiplying both sides by $(x-6)$ but I am getting ${x}^{2}-3x-18$? What am I doing wrong here?