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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
\(3+100\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(9-15\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(6-27\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(4 \times 18\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(7 \times 29\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(11 \times 38\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
\(6 \times 23\)Use clock arithmetic \((\bmod 12)\), to perform the indicated calculation.
It is \(8: 00\). What time will it be in 70 hours?
It is a Thursday. What day of the week will it be in 100 days?
It is Monday. What day of the week will it be in 58 days?
It is \(3: 00\). What time of the day will it be in 150 hours?
It is \(6: 00\). What time was it 34 hours ago?
It is \(2: 00\). What time was it 100 hours ago?
A trucker passes through Kokomo, Indiana, once every 9 days. They come through Kokomo on a Wednesday. What day of the week will the driver pass through Kokomo after 8 more visits?
Jason checks his email every 5 hours. He checks it at 6 PM one day. What time of the day will it be when he checks his mail the 50th time after that 6 PM check?
Mickey gets a new prescription of a drug that she needs to take every day. The prescription is for 250 days. She takes the first pill of the new bottle on a Friday. What day of the week will her prescription run out?
Zainab visits the nursing home every 5 days. She visits on a Sunday. What day of the week will it be when she visits it for the 7 th time after that?
Micaela has to check in with her boss every 14 hours. If she checks in at 3:00, what time will it be when she checks in the 10 th time after that?
Tracy has an alarm set for every 4 hours. It goes off at \(3: 00\). What time will it be when the alarm goes off the 20th time after that?
Dejan must check his blood sugar every 5 hours. He checks his blood sugar at 4:00. What time will it be when Dejan checks their his sugar the 40th time after that?
Latanjana is in the hospital, where her blood pressure is checked every 3 hours. If her blood pressure is checked at 5:00, what time will it be when her blood pressure is checked the 13 th time after that?
Micaela works for a sprinkler maintenance company and runs a routine check on the Harris's sprinkler system every third month. If Micaela checks the system in an April, what month will it be when Micaela returns to the Harris's for the 11 th time after that?Months come in twelves, just as hours do.
Dana runs a half marathon every 5 months. She runs one in a May. What month will it be when she runs her 8 th marathon after that?Months come in twelves, just as hours do. This means that months can be calculated using modulo 12 , just like hours. For the following exercise, calculate what month it
Identify which of the following numbers are irrational: \(\sqrt{441}, 4.33, \sqrt{70}, 5+9 \pi\)
Identify which of the following numbers are irrational: \(\frac{13}{\sqrt{46}}, 4+13 \pi, \sqrt{144}, \frac{5}{9}\)
\(\sqrt{12}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{75}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{605}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{45}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{112}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{396}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{2,940}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{2,400}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{3,240}\)Simplify the square root by expressing it in lowest terms.
\(\sqrt{5,472}\)Simplify the square root by expressing it in lowest terms.
\(4 \sqrt{3}+2 \sqrt{3}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(8 \sqrt{5}+3 \sqrt{5}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(9 \sqrt{7}-15 \sqrt{7}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(\sqrt{13}-15 \sqrt{13}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(8 \pi-13 \sqrt{2}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(7 \sqrt{5}+6 \sqrt{14}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(7.2 \pi+8.6 \pi\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(14.5 \pi-5.8 \pi\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(19.8 \sqrt{12}-6.1 \sqrt{3}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(7.3 \sqrt{45}-6.8 \sqrt{20}\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\((4 \sqrt{15}) \times(3 \sqrt{10})\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\((7 \sqrt{33}) \times(8 \sqrt{66})\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\((4.5 \sqrt{154}) \div(3 \sqrt{77})\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\((70 \sqrt{30}) \div(14 \sqrt{6})\)Perform the arithmetic operations without a calculator, if possible. If it is not possible, state why.
\(\frac{3}{\sqrt{2}}\)Rationalize the denominators of the fractions, and then simplify.
\(\frac{8}{\sqrt{6}}\)Rationalize the denominators of the fractions, and then simplify.
\(\frac{5}{\sqrt{13}}\)Rationalize the denominators of the fractions, and then simplify.
\(\frac{9}{\sqrt{35}}\)Rationalize the denominators of the fractions, and then simplify.
\(\frac{12}{\sqrt{40}}\)Rationalize the denominators of the fractions, and then simplify.
\(\frac{20}{\sqrt{150}}\)Rationalize the denominators of the fractions, and then simplify.
Determine the conjugate of \(5+\sqrt{6}\).
Determine the conjugate of \(10-\sqrt{13}\).
Determine the conjugate of \(4+3 \sqrt{5}\).
Determine the conjugate of \(5 \sqrt{15}+8 \sqrt{13}\).
Find the product of \(3+2 \sqrt{7}\) and its conjugate.
Find the product of \(2 \sqrt{3-5}\) and its conjugate.
\(\frac{4}{1+\sqrt{3}}\)Rationalize the denominator of the fraction, and then simplify the fraction.
\(\frac{6}{5+\sqrt{7}}\)Rationalize the denominator of the fraction, and then simplify the fraction.
\(\frac{10}{\sqrt{6}+7}\)Rationalize the denominator of the fraction, and then simplify the fraction.
\(\frac{1}{3}\)Identify each number as a natural number, an integer, a rational number, or a real number.
16 Identify each number as a natural number, an integer, a rational number, or a real number.
\(\sqrt{19}\)Identify each number as a natural number, an integer, a rational number, or a real number.
\(-\frac{3}{7}\)Identify each number as a natural number, an integer, a rational number, or a real number.
\(\pi\)Identify each number as a natural number, an integer, a rational number, or a real number.
–47 Identify each number as a natural number, an integer, a rational number, or a real number.
13Identify each number as a natural number, an integer, a rational number, or a real number.
\(\frac{31}{7}\)Identify each number as a natural number, an integer, a rational number, or a real number.
\(\quad-5.6 \quad-7 \quad \sqrt{26} \quad 41 \quad-\frac{13}{50} \quad-46\)Correctly place the numbers in the Venn diagram. N N R
\(\quad-2 \pi \quad-\sqrt{11} \quad-17 \quad 679 \quad \frac{14}{37} \quad \frac{57}{151}\)Correctly place the numbers in the Venn diagram. N N R
\(14+38.9=38.9+14\)Identify the property of real numbers that is being illustrated.
\(37.12+98=98+37.12\)Identify the property of real numbers that is being illustrated.
\(38 \times 16=16 \times 38\)Identify the property of real numbers that is being illustrated.
\(6.3 \times \sqrt{14}=\sqrt{14} \times 6.3\)Identify the property of real numbers that is being illustrated.
\(4+(8+\sqrt{7})=(4+8)+\sqrt{7}\)Identify the property of real numbers that is being illustrated.
\(13 \times\left(\frac{6}{11} \times 14\right)=\left(13 \times \frac{6}{11}\right) \times 14\)Identify the property of real numbers that is being illustrated.
\((5.6 \times 8.7) \times 6=5.6 \times(8.7 \times 6)\)Identify the property of real numbers that is being illustrated.
\((3.8+\sqrt{5})+13=3.8+(\sqrt{5+13})\)Identify the property of real numbers that is being illustrated.
\(4 \times(5+\sqrt{3})=4 \times 5+4 \times \sqrt{3}\)Identify the property of real numbers that is being illustrated.
\(\sqrt{74}+(-\sqrt{74})=0\)Identify the property of real numbers that is being illustrated.
\(-3.4 \pi \times\left(-\frac{1}{3.4 \pi}\right)=1\)Identify the property of real numbers that is being illustrated.
\(17 \times\left(\frac{1}{17}\right)=1\)Identify the property of real numbers that is being illustrated.
\(4 \sqrt{35}+0=4 \sqrt{35}\)Identify the property of real numbers that is being illustrated.
\(\sqrt{17} \times(5+3.6)=\sqrt{17} \times 5+\sqrt{17} \times 3.6\)Identify the property of real numbers that is being illustrated.
\((-10 \pi)+10 \pi=0\)Identify the property of real numbers that is being illustrated.
\(\frac{3}{\sqrt{7}} \times 1=\frac{3}{\sqrt{7}}\)Identify the property of real numbers that is being illustrated.
\(3 \pi+7 \sqrt{21}=7 \sqrt{21}+3 \pi\)Identify the property of real numbers that is being illustrated.
\(14 \times(3 \sqrt{2}+11.6)=14 \times 3 \sqrt{2}+14 \times 11.6\)Identify the property of real numbers that is being illustrated.
\(43+62+17\)Use properties of real numbers and mental math to calculate the expression.
\(106+75+94\)Use properties of real numbers and mental math to calculate the expression.
\(5 \times 13 \times 4\)Use properties of real numbers and mental math to calculate the expression.
\(4 \times 72 \times 5\)Use properties of real numbers and mental math to calculate the expression.
\(46+77+23+24+103\)Use properties of real numbers and mental math to calculate the expression.
\(23+98+75+12+77\)Use properties of real numbers and mental math to calculate the expression.
\(4 \times 13 \times 25\)Use properties of real numbers and mental math to calculate the expression.
\(50 \times 23 \times 2\)Use properties of real numbers and mental math to calculate the expression.
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