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mathematics
contemporary mathematics

Contemporary Mathematics 1st Edition OpenStax - Solutions

\(9.1 \%\)Rewrite the percent as a fraction
\(8 \%\)Rewrite the percent as a fraction
\(673 \%\)Rewrite the percent as a fraction
\(18 \%\)Rewrite the percent in decimal form.
\(9 \%\)Rewrite the percent in decimal form.
\(71.2 \%\)Rewrite the percent in decimal form.
\(934 \%\)Rewrite the percent in decimal form.
Find \(35 \%\) of 250
Calculate \(83.1 \%\) of 390
Calculate \(3.1 \%\) of 500
Calculate \(750 \%\) of 620
If \(40 \%\) of the total is 32 , how much is the total?
If \(3 \%\) of the total is 6.32 , how much is the total?
If \(150 \%\) of the total is 61.9 , how much is the total?
If \(18.1 \%\) of the total is 18.5 , how much is the total?
13 is what percent of 40 ?
89 is what percent of 500 ?
31 is what percent of 73 ?
593.2 is what percent of 184.5 ?
36 people in a village of 150 want to install a new splashpad at the local playground. What percent of the village wants to install the new splashpad?
Mitena is enrolled in a movie appreciation course. There are 84 students (including Mitena) in the course. After having the students fill out a survey, the professor informs the students that \(45.2 \%\) chose horror as their favorite movie genre. How many students in Mitena's class chose horror as
Jadyn's dorm has a "Rick and Morty night" every Wednesday during the semester. One Wednesday, 27 students from the dorm come to watch the TV show Rick and Morty. Jadyn knows this is \(30 \%\) of the dorm's residents. How many students reside in the dorm?
When performing a scientific experiment that results in quantities of some sort, such as mass in chemistry or momentum in physics, the percent error is often computed. Percent error, \(\% E\), is the percent by which the value obtained in an experiment, the observed value \(O\), is different than
Percent Error. See Exercise 24 for the definition of percent error. Hailey and Elsbeth are using an experiment to determine Earth's gravity. The expected value is \(9.807 \mathrm{~m} / \mathrm{s}^{2}\). Their experiment gives them a value of \(9.457 \mathrm{~m} / \mathrm{s}^{2}\). Find the percent
Translate from algebra to words: \(2 x+3\)
Translate from words to algebra: the quotient of \(5 x\) and 7 .
Translate from an English phrase to an expression: A gym charges \(\$ 5.00\) per class \(c\) and a \(\$ 20\) membership fee.
Use parentheses to make the following statement true: \(2^{2} \div+5-4 \times 3=-5\)
Evaluate and simplify \(x^{2}-5 x\) when \(x=5\).
Perform the indicated operation for the expression: \(\left(3 x^{2}+2 x+1\right)+\left(x^{2}-2 x+2-\left(x^{2}-3 x+11\right)\right.\)
Solve the linear equations using a general strategy: \(3 x-7=8\)
Solve the linear equations using properties of equations: \((5 x-3)+7=9 x-2(x+7)\)
It costs 30 cents for an ear of corn. Construct a linear equation and solve how much it costs to buy 23 ears of corn.
State whether the following equation has exactly one solution, no solution, or infinitely many solutions \(5 x+4=7 x-14\)
Solve the formula \(A=\frac{\left(b_{1}+b_{2}\right)}{2} h\) for \(b_{1}\)
Graph the inequality \(x>8\) on a number line and write the interval notation.
Solve the inequality \(-2 x
Construct a linear inequality to solve the application: Daniel wants to surprise his girlfriend with a birthday party at her favorite restaurant. It will cost \(\$ 42.75\) per person for dinner, including tip and tax. His budget for the party is \(\$ 500\). What is the maximum number of people
What is the ratio of green marbles to orange marbles?Christer opened a bag of marbles and counted the number of each color. They found they had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red.
What is the ratio of red marbles to blue marbles?Christer opened a bag of marbles and counted the number of each color. They found they had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red.
What is the ratio of sum of the marbles with an odd number of marbles to the sum of the marbles with an even number of marbles?Christer opened a bag of marbles and counted the number of each color. They found they had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red.
What is the ratio of black marbles to all marbles?Christer opened a bag of marbles and counted the number of each color. They found they had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red.
Solve: \(\frac{7}{21}=\frac{21}{x}\)
Basil the cat is 17 pounds and 24 inches long from head to tail. In his new movie Claws, he is supersized to 50 pounds. How many inches long will he be? Round your answer to the nearest tenth.
For each ordered pair, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the graph shown?\(y=\frac{1}{3} x+2\)A: \((0,-3)\)B: \((-3,1)\)C: \((-2,-4)\);D: \((0,2)\) -10 80 10 00 8 y 6 4 x 10 10 6 -4 -20 2 4 6 8 00 -2 -4 -6 -8 -10
Graph \(y=\frac{1}{2} x+5\) by plotting points.
Determine whether each ordered pair is a solution to the inequality \(y>2 x+3\).A: \((0,0)\)B: \((2,1)\)C: \((-1,-5)\)D: \((-6,-3)\)E: \((1,0)\)
Write the inequality shown by the graph with the boundary line \(y=7 x-5\). 10 8 00 y 6 4 2 16 -10-8-6-4-20 -2 -4 46 -6 8 2 4 -10 8 00 10
Graph the linear inequality: \(y
Multiply \((3 x-1)(x+7)\).
Factor \(x^{2}+8 x-9\).
Graph and list the solutions to the quadratic equation \(x^{2}+11 x+18=0\).
Solve \(x^{2}+7 x+12=15 x-3\) by factoring.
Solve \(169 x^{2}=25\) using the square root method.
Solve \(x^{2}+7 x+3=0\) using the quadratic formula.
The height in feet, \(h\), of an object shot upwards into the air with initial velocity, \(v_{0}\), after \(t\) seconds is given by the formula \(h=-16 t^{2}+v_{0} t\). A firework is shot upwards with initial velocity 130 feet per second. How many seconds will it take to reach a height of 260 feet?
Evaluate the function \(f(x)=x^{2}-3 x+21\) at the values \(f(-2), f(-1), f(0)\), (1), and \(f(2)\).
Determine whether \(\{(-2,31),(-1,25),(1,19),(2,19)\}\) represents a function.
Determine whether the mappings represent a function: 0 -2 1 1 -2 4 3
Determine whether \(5 x^{2}+2 y^{2}=10\) represent \(y\) as a function of \(x\).
Use the vertical line test to determine if the graph represents a function. 10 8 9 4 2 -14-12-10-8 16 4 -2 0 2 4 6 -2 4 -6 -8 -10
Use the set of ordered pairs to find the domain and the range. \(\{(-3,9),(-2,4),(-1,1),(0,0),(1,1),(2,4),(3,9)\}\)
Use the graph shown to find the domain and the range. 10 8 00 y 6 4 2 -10-8-6-4 -20 2 4 6 -2 -4 -6 -8 -10 00 8 10 x
Graph \(y=3 x-3\) using the intercepts.
Find the slope of the line in the graph shown. 10 00 6 4 2- -10-8-6-4-20 -2 x 2 6 8 10 -4 -6 -8 -10
Use the slope formula to find the slope of the line between \((2,4)\) and \((5,7)\).
Identify the slope and \(y\)-intercept of \(2 y=-\frac{2}{3} x+10\).
Graph the line of \(2 y=-\frac{2}{3} x-4\) using its slope and \(y\)-intercept.
Find the payment for a month when 0 units of water were used.The equation \(P=28+2.54 w\) models the relation between the monthly water bill payment, \(P\), in dollars, and the number of units of water, \(w\), used.
Find the payment for a month when 15 units of water were used.The equation \(P=28+2.54 w\) models the relation between the monthly water bill payment, \(P\), in dollars, and the number of units of water, \(w\), used.
Interpret the slope and \(P\)-intercept of the equation.The equation \(P=28+2.54 w\) models the relation between the monthly water bill payment, \(P\), in dollars, and the number of units of water, \(w\), used.
Graph the equation.The equation \(P=28+2.54 w\) models the relation between the monthly water bill payment, \(P\), in dollars, and the number of units of water, \(w\), used.
Determine if \((0,1)\) and \((2,3)\) are solutions to the given system of equations.\(\left\{\begin{array}{l}x-2 y=0 \\ 3 x-y=5\end{array}\right.\)
Solve the system of equations by graphing.\(\left\{\begin{array}{l}y=3 x+1 \\ 6 x-y=2\end{array}\right.\)
Solve the system of equations by substitution.\(\left\{\begin{array}{l}y=7 x+2 \\ 3 x-y=-6\end{array}\right.\)
Solve the systems of equations by elimination.\(\left\{\begin{array}{l}-5 x+y=-15 \\ 3 x+y=17\end{array}\right.\)
Kenneth currently sells suits for company \(A\) at a salary of \(\$ 22,000\) plus a \(\$ 10\) commission for each suit sold.Company B offers him a position with a salary of \(\$ 28,000\) plus a \(\$ 4\) commission for each suit sold. How many suits would Kenneth need to sell for the options to be
Determine whether \((0,0)\) and \((2,3)\) are solutions to the system.\(\left\{\begin{array}{l}3 x+y>5 \\ 2 x-y \leq 10\end{array}\right.\)
Determine whether \((0,0)\) and \((6,-8)\) are solutions to the darkest shaded region of the graph. 10 10 y 8 9 2 -10-8-6-4-2 0 2 4 6 8 10 -4 -6 -8 -10 X
Solve the systems of linear equations by graphing.\(\left\{\begin{array}{l}y
Write a system of inequalities to model this situation.Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7 grams of protein and
Graph the system.Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7 grams of protein and 110 calories. An ounce of parmesan
Could she eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese?Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7
Could she eat 2 ounces of cheddar cheese and 1 ounce of parmesan cheese?Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7
Find the objective function.A toy maker makes two plastic toys, the Ring ( \(x\) ) and the Stick ( \(y\) ). The toy maker makes \(\$ 4\) per Ring and \(\$ 6\) per Stick. The Ring uses 3 feet of plastic, while the Stick uses 5 feet of plastic. Today the toy maker has 40 feet of plastic available.
Write the constraints as a system of inequalities.A toy maker makes two plastic toys, the Ring ( \(x\) ) and the Stick ( \(y\) ). The toy maker makes \(\$ 4\) per Ring and \(\$ 6\) per Stick. The Ring uses 3 feet of plastic, while the Stick uses 5 feet of plastic. Today the toy maker has 40 feet of
Graph of the system of inequalities.A toy maker makes two plastic toys, the Ring ( \(x\) ) and the Stick ( \(y\) ). The toy maker makes \(\$ 4\) per Ring and \(\$ 6\) per Stick. The Ring uses 3 feet of plastic, while the Stick uses 5 feet of plastic. Today the toy maker has 40 feet of plastic
Find the value of the objective function at each corner point of the graphed region.A toy maker makes two plastic toys, the Ring ( \(x\) ) and the Stick ( \(y\) ). The toy maker makes \(\$ 4\) per Ring and \(\$ 6\) per Stick. The Ring uses 3 feet of plastic, while the Stick uses 5 feet of plastic.
To maximize his profit, how many of each toy should the toymaker make?A toy maker makes two plastic toys, the Ring ( \(x\) ) and the Stick ( \(y\) ). The toy maker makes \(\$ 4\) per Ring and \(\$ 6\) per Stick. The Ring uses 3 feet of plastic, while the Stick uses 5 feet of plastic. Today the toy
Perform the indicated operation for the expression: \(\left(3 x^{2}+2 x+1\right)-\left(x^{2}-2+2\right)+x(3 x+11)\)
Solve the linear equations using properties of equations: \(x(x-2)+=9 x+x(x-6)\)
It costs 55 cents for a stamp. Construct a linear equation and solve how much it cost to buy 50 stamps.
Solve the formula \(A=\frac{\left(b_{1}+b_{2}\right)}{2} h\) for \(h\).
Construct a linear inequality to solve the application: Bella wants to buy a round of shakes for her friends. It will cost \(\$ 4.75\) per shake, including tip and tax. Her budget is \(\$ 50\). What is the maximum number of friends Bella can buy shakes for?
Manneken Pis is a famous statue in Brussels, Belgium. It is 24 inches tall and weighs 37.5 pounds. The average man is 69 inches tall and weighs 198 pounds. Is Manneken Pis proportional to the average male?
Graph \(y=\frac{1}{4} x+1\) by plotting points.
Graph the linear inequality: \(y \geq 2 x+7\)
Graph and list the solutions to the quadratic equation \(x^{2}-36=0\).
Solve \(x^{2}-49=0\) by factoring.
Solve \(x^{2}+5 x+2=0\) using the quadratic formula.

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