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Beginning and Intermediate Algebra: An Integrated Approach

R. David Gustafson, Peter D. Frisk

Chapter 2

Equations and Inequalities - all with Video Answers

Educators


Section 1

Solving Basic Equations

02:11

Problem 1

Perform the operations. Simplify the result when possible.
$\frac{4}{5}+\frac{2}{3}$

Meredith Moody
Meredith Moody
Numerade Educator
02:10

Problem 2

Perform the operations. Simplify the result when possible.
$\frac{5}{6} \cdot \frac{12}{25}$

Meredith Moody
Meredith Moody
Numerade Educator
01:09

Problem 3

Perform the operations. Simplify the result when possible.
$\frac{5}{9} \div \frac{3}{5}$

Maninder Singh
Maninder Singh
Numerade Educator
00:24

Problem 4

Perform the operations. Simplify the result when possible.
$\frac{15}{7}-\frac{10}{3}$

AG
Ankit Gupta
Numerade Educator
01:18

Problem 5

Perform the operations. Simplify the result when possible.
$2+3 \cdot 4$

Jeyasree R T
Jeyasree R T
Numerade Educator
01:02

Problem 6

Perform the operations. Simplify the result when possible.
$3 \cdot 4^2$

Brandon Fox
Brandon Fox
Numerade Educator
01:07

Problem 7

Perform the operations. Simplify the result when possible.
$3+4^3(-5)$

Varsha Aggarwal
Varsha Aggarwal
Numerade Educator
01:59

Problem 8

Perform the operations. Simplify the result when possible.
$\frac{5(-4)-3(-2)}{10-(-4)}$

Ethan Somes
Ethan Somes
Numerade Educator
00:16

Problem 9

Fill in the blanks.
An _______ is a statement that two quantities are equal.

Sherrie Fenner
Sherrie Fenner
Numerade Educator
00:19

Problem 10

Fill in the blanks.
A _______ or _______ of an equation is a number that satisfies the equation.

Brandon Fox
Brandon Fox
Numerade Educator
00:20

Problem 11

Fill in the blanks.
If two equations have the same solutions, they are called _______ equations.

Catheryn Taylor
Catheryn Taylor
Numerade Educator
00:09

Problem 12

Fill in the blanks.
To solve an equation, we isolate the _______ on one side of the equation.

Brandon Fox
Brandon Fox
Numerade Educator
02:10

Problem 13

Fill in the blanks.
If the same quantity is added to _______ quantities, the results will be equal quantities.

Casey Evans
Casey Evans
Numerade Educator
01:26

Problem 14

Fill in the blanks.
If the same quantity is subtracted from equal quantities, the results will be _______ quantities.

Himanshu Kushwaha
Himanshu Kushwaha
Numerade Educator
00:19

Problem 15

Fill in the blanks.
If equal quantities are divided by the same nonzero quantity, the results are _______ quantities.

Amy Jiang
Amy Jiang
Numerade Educator
01:14

Problem 16

Fill in the blanks.
If _______ quantities are multiplied by the same nonzero quantity, the results will be equal quantities.

Casey Evans
Casey Evans
Numerade Educator
00:17

Problem 17

Fill in the blanks.
Sale price $=$ _______ - markdown

Mitchell Cutler
Mitchell Cutler
Numerade Educator
00:43

Problem 18

Fill in the blanks.
Retail price $=$ wholesale cost + _______

Melissa Lupinacci
Melissa Lupinacci
Numerade Educator
00:50

Problem 19

Fill in the blanks.
A percent is the numerator of a fraction whose denominator is _______

Benjamin Mallon
Benjamin Mallon
Numerade Educator
00:09

Problem 20

Fill in the blanks.
Rate • _______ $=$ amount

Ali Soave
Ali Soave
Numerade Educator
00:27

Problem 21

Tell whether each statement is an equation.
$x=2$

AG
Ankit Gupta
Numerade Educator
00:24

Problem 22

Tell whether each statement is an equation.
$y-3$

Coach Rye
Coach Rye
Numerade Educator
00:14

Problem 23

Tell whether each statement is an equation.
$7 x<8$

Khanh Ha
Khanh Ha
Numerade Educator
00:21

Problem 24

Tell whether each statement is an equation.
$7+x=2$

Brandon Fox
Brandon Fox
Numerade Educator
00:06

Problem 25

Tell whether each statement is an equation.
$x+7=0$

Erika Bustos
Erika Bustos
Numerade Educator
00:48

Problem 26

Tell whether each statement is an equation.
$3-3 y>2$

Will Cadelina
Will Cadelina
Numerade Educator
00:23

Problem 27

Tell whether each statement is an equation.
$1+1=3$

Jeyasree R T
Jeyasree R T
Numerade Educator
01:45

Problem 28

Tell whether each statement is an equation.
$5=a+2$

Anika Williams
Anika Williams
Numerade Educator
00:36

Problem 29

Tell whether the given number is a solution of the equation.
$x+2=3 ; 1$

Brandon Fox
Brandon Fox
Numerade Educator
00:11

Problem 30

Tell whether the given number is a solution of the equation.
$x-2=4 ; 6$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 31

Tell whether the given number is a solution of the equation.
$a-7=0 ;-7$

Brandon Fox
Brandon Fox
Numerade Educator
00:14

Problem 32

Tell whether the given number is a solution of the equation.
$x+4=4 ; 0$

Erika Bustos
Erika Bustos
Numerade Educator
01:01

Problem 33

Tell whether the given number is a solution of the equation.
$\frac{y}{7}=4 ; 28$

Raushan Kumar
Raushan Kumar
Numerade Educator
00:30

Problem 34

Tell whether the given number is a solution of the equation.
$\frac{c}{-5}=-2 ;-10$

Brandon Fox
Brandon Fox
Numerade Educator
07:06

Problem 35

Tell whether the given number is a solution of the equation.
$\frac{x}{5}=x ; 0$

JM
Jess Molinare
Numerade Educator
00:53

Problem 36

Tell whether the given number is a solution of the equation.
$\frac{x}{7}=7 x ; 0$

Raushan Kumar
Raushan Kumar
Numerade Educator
04:14

Problem 37

Tell whether the given number is a solution of the equation.
$3 k+5=5 k-1 ; 3$

Ruby P
Ruby P
Numerade Educator
00:20

Problem 38

Tell whether the given number is a solution of the equation.
$2 s-1=s+7 ; 6$

Erika Bustos
Erika Bustos
Numerade Educator
07:06

Problem 39

Tell whether the given number is a solution of the equation.
$\frac{5+x}{10}-x=\frac{1}{2} ; 0$

JM
Jess Molinare
Numerade Educator
00:21

Problem 40

Tell whether the given number is a solution of the equation.
$\frac{x-5}{6}=12-x ; 11$

Erika Bustos
Erika Bustos
Numerade Educator
00:16

Problem 41

Use a property of equality to solve each equation. Check all solutions.
$x+7=13$

Ali Soave
Ali Soave
Numerade Educator
00:29

Problem 42

Use a property of equality to solve each equation. Check all solutions.
$y+3=7$

Patrick Burns
Patrick Burns
Numerade Educator
00:36

Problem 43

Use a property of equality to solve each equation. Check all solutions.
$y-7=12$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:21

Problem 44

Use a property of equality to solve each equation. Check all solutions.
$c-11=22$

Brandon Fox
Brandon Fox
Numerade Educator
00:32

Problem 45

Use a property of equality to solve each equation. Check all solutions.
$1=y-5$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
00:35

Problem 46

Use a property of equality to solve each equation. Check all solutions.
$0=r+10$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:35

Problem 47

Use a property of equality to solve each equation. Check all solutions.
$p-404=115$

Melissa Stefan
Melissa Stefan
Numerade Educator
02:25

Problem 48

Use a property of equality to solve each equation. Check all solutions.
$41=45+q$

DB
David Buchanan
Numerade Educator
00:21

Problem 49

Use a property of equality to solve each equation. Check all solutions.
$-37+z=37$

James Kiss
James Kiss
Numerade Educator
00:35

Problem 50

Use a property of equality to solve each equation. Check all solutions.
$-43+a=-43$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:44

Problem 51

Use a property of equality to solve each equation. Check all solutions.
$-57=b-29$

Cory Kuzinski
Cory Kuzinski
Numerade Educator
00:18

Problem 52

Use a property of equality to solve each equation. Check all solutions.
$-93=67+y$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
00:36

Problem 53

Use a property of equality to solve each equation. Check all solutions.
$\frac{4}{3}=-\frac{2}{3}+x$

Brandon Fox
Brandon Fox
Numerade Educator
01:42

Problem 54

Use a property of equality to solve each equation. Check all solutions.
$z+\frac{5}{7}=-\frac{2}{7}$

Sophia Rafiqi
Sophia Rafiqi
Numerade Educator
04:39

Problem 55

Use a property of equality to solve each equation. Check all solutions.
$d+\frac{2}{3}=\frac{3}{2}$

Debasish Das
Debasish Das
Numerade Educator
02:47

Problem 56

Use a property of equality to solve each equation. Check all solutions.
$s+\frac{2}{3}=\frac{1}{5}$

Aryan Malesha
Aryan Malesha
Numerade Educator
00:48

Problem 57

Use a property of equality to solve each equation. Check all solutions.
$-\frac{3}{5}=x-\frac{2}{5}$

Ali Soave
Ali Soave
Numerade Educator
07:12

Problem 58

Use a property of equality to solve each equation. Check all solutions.
$b+7=\frac{20}{3}$

Dilip Paruchuri
Dilip Paruchuri
Numerade Educator
01:44

Problem 59

Use a property of equality to solve each equation. Check all solutions.
$r-\frac{1}{5}=\frac{3}{10}$

Sophia Rafiqi
Sophia Rafiqi
Numerade Educator
00:59

Problem 60

Use a property of equality to solve each equation. Check all solutions.
$t+\frac{4}{7}=\frac{11}{14}$

Melissa Stefan
Melissa Stefan
Numerade Educator
01:04

Problem 61

Use a property of equality to solve each equation. Check all solutions.
$\frac{x}{5}=5$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:36

Problem 62

Use a property of equality to solve each equation. Check all solutions.
$\frac{x}{15}=3$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:45

Problem 63

Use a property of equality to solve each equation. Check all solutions.
$\frac{x}{32}=-2$

Maranda Parks
Maranda Parks
Numerade Educator
00:14

Problem 64

Use a property of equality to solve each equation. Check all solutions.
$\frac{y}{16}=-5$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
00:36

Problem 65

Use a property of equality to solve each equation. Check all solutions.
$\frac{b}{3}=5$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:34

Problem 66

Use a property of equality to solve each equation. Check all solutions.
$\frac{a}{5}=-3$

Tony Ni
Tony Ni
Numerade Educator
00:18

Problem 67

Use a property of equality to solve each equation. Check all solutions.
$-3=\frac{s}{11}$

Erika Bustos
Erika Bustos
Numerade Educator
01:16

Problem 68

Use a property of equality to solve each equation. Check all solutions.
$\frac{s}{-12}=4$

Angela Guo
Angela Guo
Numerade Educator
00:37

Problem 69

Use a property of equality to solve each equation. Check all solutions.
$6 x=18$

Melissa Stefan
Melissa Stefan
Numerade Educator
01:12

Problem 70

Use a property of equality to solve each equation. Check all solutions.
$25 x=625$

Katelyn Vandeaver
Katelyn Vandeaver
Numerade Educator
00:17

Problem 71

Use a property of equality to solve each equation. Check all solutions.
$-4 x=36$

Amy Jiang
Amy Jiang
Numerade Educator
00:35

Problem 72

Use a property of equality to solve each equation. Check all solutions.
$-16 y=64$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:26

Problem 73

Use a property of equality to solve each equation. Check all solutions.
$4 t=108$

James Kiss
James Kiss
Numerade Educator
01:37

Problem 74

Use a property of equality to solve each equation. Check all solutions.
$-66=-6 t$

Eli Heath
Eli Heath
Numerade Educator
00:30

Problem 75

Use a property of equality to solve each equation. Check all solutions.
$11 x=-121$

Amy Jiang
Amy Jiang
Numerade Educator
00:55

Problem 76

Use a property of equality to solve each equation. Check all solutions.
$-9 y=-9$

Julie Silva
Julie Silva
Numerade Educator
00:59

Problem 77

Use a property of equality to solve each equation. Check all solutions.
$2 x=\frac{1}{7}$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:48

Problem 78

Use a property of equality to solve each equation. Check all solutions.
$4 x=\frac{1}{3}$

Catt Huth
Catt Huth
Numerade Educator
00:38

Problem 79

Use a property of equality to solve each equation. Check all solutions.
$5 x=\frac{5}{8}$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
02:04

Problem 80

Use a property of equality to solve each equation. Check all solutions.
$6 x=\frac{2}{3}$

Susan Cooper
Susan Cooper
Numerade Educator
00:41

Problem 81

Use a property of equality to solve each equation. Check all solutions.
$\frac{z}{7}=14$

Heather Zimmers
Heather Zimmers
Numerade Educator
00:34

Problem 82

Use a property of equality to solve each equation. Check all solutions.
$-19 x=-57$

Melissa Stefan
Melissa Stefan
Numerade Educator
01:36

Problem 83

Use a property of equality to solve each equation. Check all solutions.
$\frac{w}{7}=\frac{5}{7}$

Matt Gibson
Matt Gibson
Numerade Educator
00:18

Problem 84

Use a property of equality to solve each equation. Check all solutions.
$-17 z=-51$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
01:42

Problem 85

Use a property of equality to solve each equation. Check all solutions.
$\frac{s}{-3}=-\frac{5}{6}$

Eva R
Eva R
Numerade Educator
01:02

Problem 86

Use a property of equality to solve each equation. Check all solutions.
$1,228=\frac{x}{0.25}$

Matthew Biollo
Matthew Biollo
Numerade Educator
01:07

Problem 87

Use a property of equality to solve each equation. Check all solutions.
$-32 z=64$

Sia Mittal
Sia Mittal
Numerade Educator
01:12

Problem 88

Use a property of equality to solve each equation. Check all solutions.
$15=\frac{r}{-5}$

Heather Zimmers
Heather Zimmers
Numerade Educator
00:18

Problem 89

Use a property of equality to solve each equation. Check all solutions.
$18 z=-9$

Michelle Nguyen
Michelle Nguyen
Numerade Educator
01:39

Problem 90

Use a property of equality to solve each equation. Check all solutions.
$-12 z=3$

Elicia Davenport
Elicia Davenport
Numerade Educator
02:53

Problem 91

Use a property of equality to solve each equation. Check all solutions.
$0.25 x=1,228$

Debasish Das
Debasish Das
Numerade Educator
00:43

Problem 92

Use a property of equality to solve each equation. Check all solutions.
$-0.2 y=51$

Melissa Stefan
Melissa Stefan
Numerade Educator
04:25

Problem 93

Use a property of equality to solve each equation. Check all solutions.
$\frac{b}{3}=\frac{1}{3}$

Hong Joo Ryoo
Hong Joo Ryoo
Numerade Educator
01:53

Problem 94

Use a property of equality to solve each equation. Check all solutions.
$\frac{a}{13}=\frac{1}{26}$

Melissa Stefan
Melissa Stefan
Numerade Educator
00:49

Problem 95

Use a property of equality to solve each equation. Check all solutions.
$-1.2 w=-102$

Patrick Burns
Patrick Burns
Numerade Educator
01:38

Problem 96

Use a property of equality to solve each equation. Check all solutions.
$1.5 a=-15$

Bailey Radel
Bailey Radel
Numerade Educator
01:51

Problem 97

Use a property of equality to solve each equation. Check all solutions.
$\frac{u}{5}=-\frac{3}{10}$

Luke P
Luke P
Numerade Educator
01:23

Problem 98

Use a property of equality to solve each equation. Check all solutions.
$\frac{t}{-7}=\frac{1}{2}$

Ian Maurer
Ian Maurer
Numerade Educator
00:37

Problem 99

Use a property of equality to solve each equation. Check all solutions.
$\frac{p}{0.2}=12$

Jake Zanazzi
Jake Zanazzi
Numerade Educator
01:29

Problem 100

Use a property of equality to solve each equation. Check all solutions.
$\frac{t}{0.3}=-36$

Bailey Radel
Bailey Radel
Numerade Educator
01:05

Problem 101

Use the formula $r b=a$ to find each value.
What number is $40 \%$ of 200 ?

Priyanka Sadarangani
Priyanka Sadarangani
Numerade Educator

Problem 102

Use the formula $r b=a$ to find each value.
What number is $35 \%$ of 520 ?

Check back soon!

Problem 103

Use the formula $r b=a$ to find each value.
What number is $50 \%$ of 38 ?

Check back soon!
01:11

Problem 104

Use the formula $r b=a$ to find each value.
What number is $25 \%$ of 300 ?

Priyanka Sadarangani
Priyanka Sadarangani
Numerade Educator

Problem 105

Use the formula $r b=a$ to find each value.
$15 \%$ of what number is 48 ?

Check back soon!

Problem 106

Use the formula $r b=a$ to find each value.
$26 \%$ of what number is 78 ?

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Problem 107

Use the formula $r b=a$ to find each value.
133 is $35 \%$ of what number?

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Problem 108

Use the formula $r b=a$ to find each value.
13.3 is $3.5 \%$ of what number?

Check back soon!
00:22

Problem 109

Use the formula $r b=a$ to find each value.
$28 \%$ of what number is 42 ?

Brandon Fox
Brandon Fox
Numerade Educator

Problem 110

Use the formula $r b=a$ to find each value.
$44 \%$ of what number is 143 ?

Check back soon!

Problem 111

Use the formula $r b=a$ to find each value.
What percent of 357.5 is 71.5 ?

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Problem 112

Use the formula $r b=a$ to find each value.
What percent of 254 is 13.208 ?

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00:15

Problem 113

Use the formula $r b=a$ to find each value.
0.32 is what percent of 4 ?

Erik Scott
Erik Scott
Numerade Educator

Problem 114

Use the formula $r b=a$ to find each value.
3.6 is what percent of 28.8 ?

Check back soon!

Problem 115

Use the formula $r b=a$ to find each value.
34 is what percent of 17 ?

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Problem 116

Use the formula $r b=a$ to find each value.
39 is what percent of 13 ?

Check back soon!
01:21

Problem 117

Buying a boat A boat is on sale for $$\$ 7,995$$. Find its regular price if it has been marked down $$\$ 1,350$$.

Angela Guo
Angela Guo
Numerade Educator
01:31

Problem 118

Buying a house A house that was priced at $$\$ 105,000$$ has been discounted $$\$ 7,500$$. Find the new asking price.

AG
Ankit Gupta
Numerade Educator
01:23

Problem 119

Buying clothes A sport jacket that sells for $$\$ 175$$ has a markup of $$\$ 85$$. Find the wholesale price.

Melissa Lupinacci
Melissa Lupinacci
Numerade Educator
00:31

Problem 120

Buying a vacuum cleaner A vacuum that sells for $$\$ 97$$ has a markup of $$\$ 37$$. Find the wholesale price.

Ashley Hanson
Ashley Hanson
Numerade Educator
00:49

Problem 121

Banking The amount $A$ in an account is given by the formula

$$
A=p+i
$$

where $p$ is the principal and $i$ is the interest. How much interest was earned if an original deposit (the principal) of $$\$ 4,750$$ has grown to be $$\$ 5,010$$ ?

Wesley Hines
Wesley Hines
Numerade Educator
03:37

Problem 122

Depreciation The current value $v$ of a car is given by the formula

$$
v=c-d
$$

where $c$ is the original price and $d$ is the depreciation. Find the original cost of a car that is worth $$\$ 10,250$$ after depreciating $$\$ 7,500$$.

AI
Alisa Ialacci
Numerade Educator
01:18

Problem 123

Appreciation The value $v$ of a house is given by the formula

$$
v=p+a
$$

where $p$ is the original purchase price and $a$ is the appreciation. Find the original purchase price of a house that is worth $$\$ 150,000$$ and has appreciated $$\$57,000$$.

Narayan Hari
Narayan Hari
Numerade Educator
01:55

Problem 124

Taxes The cost $c$ of an item is given by the formula

$$
c=p+t
$$

where $p$ is the price and $t$ is the sales tax. Find the tax paid on an item that was priced at $$\$ 37.10$$ and cost $$\$39.32$$.

Rachel Lepak
Rachel Lepak
Numerade Educator
02:38

Problem 125

Buying carpet The cost $c$ of carpet is given by the formula

$$
c=p+t
$$

where $p$ is the price and $t$ is cost of installation. How much did it cost to install $$\$ 317$$ worth of carpet that cost $$\$512$$?

MF
Maureen Foss
Numerade Educator
01:59

Problem 126

Selling real estate The money $m$ received from selling a house is given by the formula

$$
m=s-c
$$

where $s$ is the selling price and $c$ is the agent's commission. Find the selling price of a house if the seller received $$\$217,000$$ and the agent received $$\$13,020$$.

Luke P
Luke P
Numerade Educator
02:10

Problem 127

Buying real estate The cost of a condominium is $$\$ 57,595$$ less than the cost of a house. If the house costs $$\$ 202,744$$, find the cost of the condominium.

Lourence Gonhovi
Lourence Gonhovi
Numerade Educator
02:34

Problem 128

Buying paint After reading the ad below, a decorator bought one gallon of primer, one gallon of paint, and a brush. The total cost was $$\$ 30.44$$. Find the cost of the brush.

Ian Maurer
Ian Maurer
Numerade Educator
00:40

Problem 129

Customer satisfaction One-third of the movie audience left the theater in disgust. If 78 angry patrons walked out, how many were there originally?

Dale Sanford
Dale Sanford
Numerade Educator
View

Problem 130

Stock split After a 3-for-2 stock split, each shareholder will own 1.5 times as many shares as before. If 555 shares are owned after the split, how many were owned before?

Danielle Fairburn
Danielle Fairburn
Numerade Educator
01:06

Problem 131

Off-campus housing One-seventh of the senior class is living in off-campus housing. If 217 students live off campus, how large is the senior class?

Breanna Ollech
Breanna Ollech
Numerade Educator
01:12

Problem 132

Union membership If 2,484 union members represent $90 \%$ of a factory's work force, how many workers are employed?

Breanna Ollech
Breanna Ollech
Numerade Educator
01:09

Problem 133

Shopper dissatisfaction Refer to the survey results shown in the table. What percent of those surveyed were not pleased?
$$
\begin{array}{l|r}
\text { Shopper Survey Results } & \\
\hline \text { First-time shoppers } & 1,731 \\
\hline \text { Major purchase today } & 539 \\
\hline \text { Shopped within previous month } & 1,823 \\
\hline \text { Satisfied with service } & 4,140 \\
\hline \text { Seniors } & 2,387 \\
\hline \text { Total surveyed } & 9,200
\end{array}
$$

Abdullah Alomair
Abdullah Alomair
Numerade Educator
02:34

Problem 134

Charity overhead Out of $$\$ 237,000$$ donated to a certain charity, $$\$ 5,925$$ is used to pay for fundraising expenses. What percent of the donations is overhead?

Lourence Gonhovi
Lourence Gonhovi
Numerade Educator
01:34

Problem 135

Selling price of a microwave oven The $5 \%$ sales tax on a microwave oven amounts to $$\$ 13.50$$. What is the microwave's selling price?

Kratika Bhadauria
Kratika Bhadauria
Numerade Educator
01:26

Problem 136

Sales taxes Sales tax on a $$\$ 12$$ compact disc is $$\$ 0.72$$. At what rate is sales tax computed?

Rachel Lepak
Rachel Lepak
Numerade Educator
00:59

Problem 137

Hospital occupancy $18 \%$ of hospital patients stay for less than 1 day. If 1,008 patients in January stayed for less than 1 day, what total number of patients did the hospital treat in January?

Liuxi Sun
Liuxi Sun
Numerade Educator
03:48

Problem 138

Home prices The average price of homes in one neighborhood decreased $8 \%$ since last year, a drop of $$\$ 7,800$$. What was the average price of a home last year?

Kush Khamesra
Kush Khamesra
Numerade Educator
00:25

Problem 139

Explain what it means for a number to satisfy an equation.

Brandon Fox
Brandon Fox
Numerade Educator
03:24

Problem 140

How can you tell whether a number is the solution to an equation?

Vinnu M
Vinnu M
Numerade Educator
01:39

Problem 141

The Ahmes papyrus mentioned on page 5 contains this statement: A circle nine units in diameter has the same area as a square eight units on a side. From this statement, determine the ancient Egyptians' approximation of $\pi$.

Ashley High
Ashley High
Numerade Educator
02:02

Problem 142

Calculate the Egyptians' percent of error: What percent of the actual value of $\pi$ is the difference of the estimate obtained in Exercise 141 and the actual value of $\pi$ ?

Matthew Baker
Matthew Baker
Numerade Educator