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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
You want to fill gift bags for children in the after-school program where you volunteer. You have 30 crayons, 20 sticker sheets, and 70 bite-sized candies. If each gift bag must contain the same number of crayons, sticker sheets, and bite-sized candies, what is the maximum number of bags that can
Identify which of the following numbers are integers: \(-4,15.2, \sqrt{2}, \frac{3}{20}, 430\)
Graph the following integers on the number line: \(4,-2,7\).
Place these integers in increasing order: \(4,-2,-7,10,-13\).
Calculate \(|-7|\).
Calculate \(4-(-9)\).
Calculate \((-3) \times(-12)\).
Which operation has highest precedence?
Which is performed first, exponents or addition?
Calculate \(2 \times 3^{2}-5 \times 8\).
What is used to indicate operations that should be performed out of order?
Calculate \((4-3)^{2}+27 \times 8^{2} \div 6^{2}\).
Identify which of the following are rational numbers.\(-41, \sqrt{13}, \frac{4}{3}, 2.75,0.2 \overline{13}\)
Express \(\frac{18}{30}\) in lowest terms.
Calculate \(\frac{3}{8}+\frac{5}{12}\) and express in lowest terms.
Convert 0.34 into fraction form.
Convert \(\frac{47}{12}\) into a mixed number.
Calculate \(\frac{2}{9} \times \frac{21}{22}\) and express in lowest terms.
Calculate \(\frac{2}{5} \div \frac{3}{10}+\frac{1}{6}\).
Identify a rational number between \(\frac{7}{8}\) and \(\frac{20}{21}\).
Lina decides to save \(\frac{1}{8}\) of her take-home pay every paycheck. Her most recent paycheck was for \(\$ 882\). How much will she save from that paycheck?
Determine \(38 \%\) of 600 .
A microchip factory has decided to increase its workforce by \(10 \%\). If it currently has 70 employees, how many new employees will the factory hire?
Simplify the following square root: \(\sqrt{500}\).
Perform the following operation: \(3 \sqrt{7}-10 \sqrt{7}\).
Perform the following operation: \(8 \sqrt{10} \times 3 \sqrt{2}\).
Rationalize the denominator of the following: \(\frac{4}{\sqrt{7}}\).
Which of the following are real numbers: \(4+i, \sqrt{77},-19,38.902\) ?
Indicate which of the sets are subsets of the others: \(\mathbb{Q}, \mathbb{R}, \mathbb{N}, \mathbb{Z}\).
Which property is demonstrated here: \(3 \times 6+3 \times 15=3 \times(6+15)\) ?
\(7+19\)Use clock arithmetic to perform the following:
\(8-31\)Use clock arithmetic to perform the following:
\(5 \times 37\)Use clock arithmetic to perform the following:
Calene calls her mother every fourth day. She calls on a Monday. What day of the week will it be on Calene's eighth time calling after that?
Simplify \(a^{3} \times a^{5}\).
Simplify \(\frac{5^{4}}{5^{8}}\).
Simplify \((6 b)^{9}\).
Simplify \(\left(\frac{c}{7}\right)^{3}\).
Simplify \(\left(\frac{3 a^{2}}{4 b^{5}}\right)^{6}\).
Write 0.00456 in scientific notation.
Write \(5.67 \times 10^{8}\) in standard form.
Calculate \(4.5 \times 10^{3}+9.8 \times 10^{2}\).
Calculate \(2.5 \times 10^{5}-9.8 \times 10^{6}\).
Calculate \(\left(7.4 \times 10^{4}\right) \times\left(4.8 \times 10^{3}\right)\).
Calculate \(\frac{4.6 \times 10^{-4}}{8 \times 10^{-8}}\).
The distance from Earth to the moon is \(1.514 \times 10^{10}\) inches. The thickness of a dollar bill is \(4.3 \times 10^{-3}\) inches. How many dollar bills must be stacked so the pile reaches the moon?
Is the following an arithmetic sequence? Explain.\(\{3,6,9,15,25,39,90\}\)
What is the 7th term of the following sequence?\(\{1,5,7,100,4,-17,8,100,19,7.6,345\}\)
In an arithmetic sequence, the first term is 10 and the constant difference is 4.5 . What is the 135 th term?
If the eighth term of an arithmetic sequence is 35 and the 40 th term is 131 , what is the constant difference and the first term of the sequence?
What is the sum of the first 100 terms of the arithmetic sequence with first term 4 and constant difference 7 ?
A new marketing firm began with 30 people in its survey group. The firm adds 4 people per day. How many people will be in their survey group after 100 days?
Is the following a geometric sequence? Explain.\(\{3,6,12,24,48,96,192\}\)
Find the common ratio of the geometric sequence \(\{3,-30,300,-3,000, \ldots\}\).
In a geometric sequence, the first term is 10 and the common ratio is 1.5 . What is the 15 th term?
What is the sum of the first 100 terms of the geometric sequence with first term 4 and common ratio 0.3 ?
\(\$ 15,000\) is deposited in an account the yields \(4.2 \%\) interest compounded annually. How much is in the account after 17 years?
0.0134 Convert numbers to scientific notation.
0.0000761 Convert numbers to scientific notation.
3,400 Convert numbers to scientific notation.
\(8,980,000\)Convert numbers to scientific notation.
\(9.01 \times 10^{5}\)Convert numbers to standard form.
\(3.78 \times 10^{7}\)Convert numbers to standard form.
\(4.32 \times 10^{-3}\)Convert numbers to standard form.
\(5.781 \times 10^{-5}\)Convert numbers to standard form.
\(37.65 \times 10^{4}\)The numbers are not in scientific notation. Convert them to scientific notation.
\(0.0034 \times 10^{6}\)The numbers are not in scientific notation. Convert them to scientific notation.
\(0.0834 \times 10^{-7}\)The numbers are not in scientific notation. Convert them to scientific notation.
\(14.56 \times 10^{-3}\)The numbers are not in scientific notation. Convert them to scientific notation.
The distance from the sun to the star Polaris is about \(3,056,000,000,000,000 \mathrm{~km}\). Express that distance in scientific notation.Make the conversions required.
The distance from us to the next-closest galaxy is about \(662,000,000,000,000,000 \mathrm{~km}\). Express that distance in scientific notation.Make the conversions required.
The mass of a grain of sand is about \(6.66 \times 10^{-4} \mathrm{~g}\). Convert that mass to standard form.Make the conversions required.
The diameter of a cell is about \(2 \times 10^{-6} \mathrm{~m}\). Convert that diameter to standard form.Make the conversions required.
The equatorial circumference of Earth is approximately \(4.007 \times 10^{4} \mathrm{~km}\). Convert that circumference to standard form.Make the conversions required.
The straight-line distance from Buffalo, \(\mathrm{NY}\), to Buenos Aires, Argentina, is approximately \(8.86 \times 10^{6} \mathrm{~m}\). Convert that distance to standard form.Make the conversions required.
The mass of a proton is approximately \(1.67 \times 10^{-27} \mathrm{~kg}\). Convert that mass to standard form.Make the conversions required.
The diameter of a housefly egg is approximately \(1.2 \times 10^{-3} \mathrm{~m}\). Convert that diameter to standard form.Make the conversions required.
The tallest building in the world, the Burj Khalifa in Dubai, stands at \(829.8 \mathrm{~m}\) tall. Convert that height to scientific notation.Make the conversions required.
Using the rings of the shell, the age of an Icelandic clam is 507 years. Express that age in scientific notation.Make the conversions required.
\(1.3 \times 10^{2}+3.8 \times 10^{2}\)Calculate the following.
\(7.8 \times 10^{12}+1.1 \times 10^{12}\)Calculate the following.
\(3.36 \times 10^{4}+2.71 \times 10^{4}\)Calculate the following.
\(4.58 \times 10^{9}+1.93 \times 10^{9}\)Calculate the following.
\(8.1 \times 10^{-17}+1.6 \times 10^{-17}\)Calculate the following.
\(4.506 \times 10^{-3}+3.908 \times 10^{-3}\)Calculate the following.
\(8.602 \times 10^{-25}+1.096 \times 10^{-25}\)Calculate the following.
\(2.0557 \times 10^{-6}+1.001 \times 10^{-6}\)Calculate the following.
\(5.2 \times 10^{4}-4.1 \times 10^{4}\)Calculate the following.
\(9.48 \times 10^{15}-6.78 \times 10^{15}\)Calculate the following.
\(7.81 \times 10^{-7}-4.62 \times 10^{-7}\)Calculate the following.
\(4.53 \times 10^{-3}-2.79 \times 10^{-3}\)Calculate the following.
\(4.6 \times 10^{-5}+9.1 \times 10^{-5}\)Calculate the following.
\(6.7 \times 10^{8}+5.7 \times 10^{8}\)Calculate the following.
\(4.13 \times 10^{-4}+7.93 \times 10^{-4}\)Calculate the following.
\(5.671 \times 10^{-8}+9.073 \times 10^{-8}\)Calculate the following.
\(4.513 \times 10^{6}+7.856 \times 10^{4}\)Calculate the following.
\(7.135 \times 10^{8}+5.143 \times 10^{6}\)Calculate the following.
\(3.17 \times 10^{-3}+5.92 \times 10^{-5}\)Calculate the following.
\(4.503 \times 10^{-6}+3.119 \times 10^{-4}\)Calculate the following.
\(\left(4.5 \times 10^{4}\right) \times\left(1.2 \times 10^{6}\right)\)Calculate the following.
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