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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
Unit Conversion. 1 kilogram (kg) is equal to 2.20462 pounds. Convert \(13 \mathrm{~kg}\) to pounds. Round to three decimal places, if necessary.
Unit Conversion. 1 kilogram (kg) is equal to 2.20462 pounds. Convert 200 pounds to kilograms. Round to three decimal places, if necessary.
Unit Conversion. There are 12 inches in a foot, 3 feet in a yard, and 1,760 yards in a mile. Convert 10 miles to inches. To do so, first convert miles to yards. Next, convert the yards to feet. Last, convert the feet to inches.
Unit Conversion. There are 1,000 meters \((\mathrm{m})\) in a kilometer \((\mathrm{km})\), and 100 centimeters \((\mathrm{cm})\) in a meter. Convert \(4 \mathrm{~km}\) to centimeters.
Markup. In this exercise, we introduce the concept of markup. The markup on an item is the difference between how much a store sells an item for and how much the store paid for the item. Suppose Wegmans (a northeastern U.S. grocery chain) buys cereal at \(\$ 1.50\) per box and sells the cereal for
In this exercise, we explore what happens when an item is marked up by a percentage, and then marked down using the same percentage.Wegmans purchases an item for \(\$ 5\) per unit. The markup on the item is \(25 \%\).a. Calculate the markup on the item, in dollars.b. What is the price for which
Repeated Discounts. In this exercise, we explore applying more than one discount to an item.Suppose a store cuts the price on an item by \(50 \%\), and then offers a coupon for \(25 \%\) off any sale item. We will find the price of the item after applying the sale price and the coupon discount.a.
Convert \(0 . \overline{7}\) to fraction form.
Convert \(0 . \overline{45}\) to fraction form.
Convert \(3.1 \overline{5}\) to fraction form.
Convert \(2.71 \overline{94}\) to fraction form.
Identify all the integers in the following list: \(4,-17,8,0.5, \sqrt{7}, \frac{1}{9},-300\).
Identify all integers in the following list: \(-9.2,13,-1, \sqrt{47}, \frac{\sqrt{3}}{2}, 567,-300\).
\(4,-2,10,0\)Plot the integers on the same number line.
\(-6,-3,10,1,4\)Plot the integers on the same number line.
\(-3,-10,7,2\)Plot the integers on the same number line.
\(2,4,8,-2,-5\)Plot the integers on the same number line.
\(-3
\(-10>-3\)Determine if the comparison is true or false.
\(7>-6\)Determine if the comparison is true or false.
\(-6
\(18
\(20
What are two numbers with an absolute value of 76 ?
What are two numbers with an absolute value 87 ?
Determine \(|-67|\).
Determine \(|98|\).
Determine \(|61|\).
Determine \(|-903|\).
What are two numbers that are 23 away from 0 ?
What are two numbers 13 away from 0 ?
\(47+200\)Complete the indicated calculation.
\(67+(-86)\)Complete the indicated calculation.
\((-86)+104\)Complete the indicated calculation.
\(13-(-54)\)Complete the indicated calculation.
\((-45)-(-26)\)Complete the indicated calculation.
\((-13)+(-102)\)Complete the indicated calculation.
\(38 \times 12\)Complete the indicated calculation.
\((-12) \times(-10)\)Complete the indicated calculation.
\(14 \times(-5)\)Complete the indicated calculation.
\(421 \times(-13)\)Complete the indicated calculation.
\((-412) \times 504\)Complete the indicated calculation.
\((-8,919) \times(-3,401)\)Complete the indicated calculation.
\((-130) \div(-65)\)Complete the indicated calculation.
\(450 \div 9\)Complete the indicated calculation.
\(2000 \div(-40)\)Complete the indicated calculation.
\((-910) \div 14\)Complete the indicated calculation.
The daily low temperatures, in degrees centigrade, in Fargo for the week of January 17, 2021, were \(-9,-17,-18\), \(-14,-17,-19\), and -11 . What was the average low temperature in Fargo that week?
Riley collects checks for a fundraiser supporting the homeless in town. Through Venmo, they collect the following amounts: \(\$ 20, \$ 20, \$ 50, \$ 75, \$ 250, \$ 10, \$ 15, \$ 65, \$ 30, \$ 15\). What was the average donation that Riley collected?
Heath has \(\$ 495\) in an account. They will collect two paychecks this week, one for \(\$ 150\) and the other for \(\$ 250\). Heath also will pay three bills, one for \(\$ 50\), one for \(\$ 110\), and one for \(\$ 300\). After all those transactions, how much will Heath have in their account?
Five diners decide to split the check evenly. The total bill comes to \(\$ 475\). How much does each diner owe?
There are many people who are single-issue voters, which means that they will vote for (or against!) a candidate based on one issue and one issue only. Suppose a politician wants to earn votes based on single issues: Issue 1, Issue 2, and Issue 3.By publicly supporting issue 1, the politician gains
Determine if 36 is divisible by 4.
Using divisibility rules, determine if 245 is divisible by 5.
Using divisibility rules, determine if 25,983 is divisible by 9 .
Can 298 coins be stacked into 6 stacks with an equal number of coins in each stack?
Using divisibility rules, determine if 4,259 is divisible by 10 .
Using divisibility rules, determine if 936,276 is divisible by 4 .
Determine if 2,117 is prime or composite.
Determine if 423 is prime or composite.
Determine if 1,034 is prime or composite
Determine if 2,917 is prime or composite.
Find the prime factorization of 140 .
Find the prime factorization of 66.
Find the prime factorization of 135.
How many different prime factors does 10,241 have?
Find the greatest common divisor of 1,400 and 250 by listing all divisors of each number.
Find the greatest common divisor of 1,400 and 250 by using their prime factorizations.
Find the greatest common divisor of 600 and 784 by using their prime factorizations.
Suppose you have a rectangular room that is \(570 \mathrm{~cm}\) wide and \(450 \mathrm{~cm}\) long. You wish to cover the floor of the room with square tiles. What's the largest size square tile that can be used to cover this floor?
Suppose you want to organize books onto shelves, and you want the shelves to hold the same number of books. Each shelf will only contain one genre of book. You have 24 sci-fi, 42 fantasy, and 30 horror books. How many books can go on each shelf?
Find the LCM of 24 and 90 by listing multiples and choosing the smallest common multiple.
Use the prime factorizations of 24 and 90 to identify their LCM.
Use the prime factorizations of 36,66 , and 250 to identify the LCM.
Find the LCM of 20,36 , and 45 using lists and prime factorization.
Two students, João, and Amelia, meet one day at an assisted living facility where they volunteer. João volunteers every 6 days. Amelia volunteers every 10 days. How many days will it be until they are both volunteering on the same day again?
A team-building exercise has teams build a house of cards as high as possible. However, the cards for different teams are of different sizes. Team 1 uses \(10 \mathrm{~cm} \times 10 \mathrm{~cm}\) cards, while Team 2 uses \(8 \mathrm{~cm} \times 8 \mathrm{~cm}\) cards. What is the minimum height
Which of the following are integers and which are not? -3 24 36/4 45 63.9
Graph the following on the number line:1. 1 2. –4 3. 3
Determine which of -6 and 4 is larger using a number line, and express that using both the greater than and the less than notations.
Determine which of -6 and -2 is larger, and express that using both the greater than and the less than notations.
Determine which of 27 and 410 is larger, and express that using both the greater than and the less than notations.
Calculate \(|19|\).
Calculate \(|-435|\).
Use your calculator to calculate \(4+(-7)\). Explain how the answer agrees with what was expected.
Use your calculator to calculate \(18-9\). Explain how the answer agrees with what was expected.
Use your calculator to calculate 27 - (-13). Explain how the answer agrees with what was expected.
Use your calculator to calculate \((-13)+90\). Explain how the answer agrees with what was expected.
Jennifer is owed \(\$ 50\) from her friend Janice, but owes her friend Pat \(\$ 87\). What is Jennifer's net worth?
Use your calculator to calculate \(4 \times 8\). Explain how the answer agrees with what was expected.
Use your calculator to calculate \(9 \times(-10)\). Explain how the answer agrees with what was expected.
Use your calculator to calculate \(400/(-25)\). Explain how the answer agrees with what was expected.
Use your calculator to calculate \(-750 /(-3)\) Explain how the answer agrees with what was expected.
The daily low temperatures in Barrie, Ontario, for the week of February 14,2021 , were \(-20^{\circ},-12^{\circ},-15^{\circ},-23^{\circ},-17^{\circ},-13^{\circ}\), and \(-19^{\circ}\) degrees Celsius. What was the average daily temperature for the week of February 14, 2021, in Barrie?
Calculate \(21-4 \times 13\).
Calculate \(4 \times 8^{3}\).
Calculate \(2+3^{2} \times 4\).
Correctly apply the order of operations to compute the following:\(4-25 \times 6 / 10 \times 3^{2}+7 \times 2^{3}\).
Correctly apply the rules for the order of operations to accurately compute the following:\(10-3 \times 5^{3} / 15+56 / 4\)
Correctly apply the rules for the order of operations to accurately compute the following:\((-8) / 2 \times 3-9 \times 2^{4} / 12+9 \times(-4)^{2} / 2^{3}\).
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