A fraction represents one whole if the numerator is equal to the denominator (except for 0). So, the fractions that represent one whole are:
\(\frac{8}{8},\frac{4}4}\frac{1}{1}\)

Question

asked 2021-03-07

What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

asked 2021-02-22

Solve \(2t\ -\ 3(t\ +\ 8) = -(1\ -\ 4t)\ + 10\) for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

asked 2021-01-31

For the given fraction and decimals we have to write its equivalent percent.
Given fractions are \(\displaystyle{a}{)}{\frac{{{3}}}{{{25}}}}{b}{)}{\frac{{{1}}}{{{5}}}}{c}{)}{\frac{{{2}}}{{{5}}}}\)
And the decimals are, \(\displaystyle{d}{)}{0.01},{e}{)}{4.06},{f}{)}{0.6}\)
We have to find its equivalent percent.

asked 2020-11-09

Which of the following fractions are repeating decimals and which are terminating? How made decisions?
\(a) \frac{2}{15}\)

\(b)\frac{11}{20}\)

\(c)\frac{17}{40}\)

\(d)\frac{1}{12}\)

\(b)\frac{11}{20}\)

\(c)\frac{17}{40}\)

\(d)\frac{1}{12}\)

asked 2021-01-19

Convert decimals and fractions to percents
Write seller B's rating as a percent and a decimal.
Given information:
Customer satisfaction level of B as \(\displaystyle{\frac{{{3.5}}}{{{4}}}}\)

asked 2021-02-26

The top string of a guitar has a fundamental frequency of 33O Hz when it is allowed to vibrate as a whole, along all its 64.0-cm length from the neck to the bridge. A fret is provided for limiting vibration to just the lower two thirds of the string, If the string is pressed down at this fret and plucked, what is the new fundamental frequency? The guitarist can play a "natural harmonic" by gently touching the string at the location of this fret and plucking the string at about one sixth of the way along its length from the bridge. What frequency will be heard then?

asked 2021-03-07

Ariel's bedroom is 170in long, 135in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq.ft. each and a door that measures 20 sq.ft. Ariel and her daughter, Melody, are going to paint Ariel's bedroom. It is given that 1 gallon of paint covers 150 sq.ft.
How many gallons of paint are needed to paint the four walls and the ceiling of Ariel's bedroom with one coat of paint? Round your final answer to two decimals places.

asked 2020-10-20

Consider the quantity\(a^{2}\ -\ b^{2}\) where a and b are real numbers.

(a) Under what conditions should one expect an unusually large relative error in the computed value of \(a^{2}\ -\ b^{2}\) when this expression is evaluated in finite precision arithmetic?

(b)cWs 4-digit (decimal) rounding arithmetic to evaluate both \(a^{2}\ -\ b^{2}\ and\ (a\ +\ b)(a\ -\ b)\ with\ a\ = 995.1\ and\ b = 995.0.\) Calculate th relative error in each result.

(c) The expression \((a\ +\ b)(a\ -\ b)\ is\ algebraically\ equivalent\ to\ a^{2}\ -\ b^{2},\) but it is a more accurate way to calculate this quantity if both a and b have exact floating point representations. Why?

(a) Under what conditions should one expect an unusually large relative error in the computed value of \(a^{2}\ -\ b^{2}\) when this expression is evaluated in finite precision arithmetic?

(b)cWs 4-digit (decimal) rounding arithmetic to evaluate both \(a^{2}\ -\ b^{2}\ and\ (a\ +\ b)(a\ -\ b)\ with\ a\ = 995.1\ and\ b = 995.0.\) Calculate th relative error in each result.

(c) The expression \((a\ +\ b)(a\ -\ b)\ is\ algebraically\ equivalent\ to\ a^{2}\ -\ b^{2},\) but it is a more accurate way to calculate this quantity if both a and b have exact floating point representations. Why?

asked 2021-03-12

Find the solution of the equation
rounded to two decimals.
1) \(\displaystyle{3.02}{x}+{1.48}={10.92}\)
2) \(\displaystyle{8.36}-{0.95}{x}={9.97}\)
3) \(\displaystyle{2.15}{x}-{4.63}={x}+{1.19}\)

asked 2021-02-04

Among 25- to 30-years-olds, \(28\%\) say they have operated heavy machinery while under the influence of alcohol Suppose three 25- to 30-years-olds are selected at random. Complete psrts (a) through (d) below:

a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?

b) What is the probability that at least one has not haavy operated heavy machinery while under the influence of alcohol?

c) What is the probability that none of three have operated heavy machinery while under the influence of alcohol?

d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?

a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?

b) What is the probability that at least one has not haavy operated heavy machinery while under the influence of alcohol?

c) What is the probability that none of three have operated heavy machinery while under the influence of alcohol?

d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?