Implement errata rcv'd Jan-Feb

modules/m56252/index.cnxml

@@ -40,7 +40,7 @@
 <para id="fs-id1171103944915"><m:math><m:mrow><m:mn>13.</m:mn><m:mspace width="0.2em"/></m:mrow></m:math>The sum of <m:math><m:mrow><m:mn>−5</m:mn></m:mrow></m:math> and <m:math><m:mrow><m:mn>13</m:mn><m:mo>,</m:mo></m:mrow></m:math> increased by <m:math><m:mrow><m:mn>11</m:mn><m:mo>.</m:mo></m:mrow></m:math></para>
 <para id="fs-id1171103994533"><m:math><m:mrow><m:mn>14.</m:mn><m:mspace width="0.2em"/></m:mrow></m:math>The product of <m:math><m:mrow><m:mn>−11</m:mn><m:mspace width="0.2em"/><m:mtext>and</m:mtext><m:mspace width="0.2em"/><m:mn>8</m:mn><m:mo>.</m:mo></m:mrow></m:math></para>
 <para id="fs-id1171104389619"><m:math><m:mrow><m:mn>15.</m:mn><m:mspace width="0.2em"/></m:mrow></m:math>The quotient of <m:math><m:mrow><m:mn>7</m:mn></m:mrow></m:math> and the sum of <m:math><m:mrow><m:mn>−4</m:mn><m:mspace width="0.2em"/><m:mtext>and</m:mtext><m:mspace width="0.2em"/><m:mi>m</m:mi><m:mtext>.</m:mtext></m:mrow></m:math></para>
-<para id="fs-id1171104071198"><m:math><m:mrow><m:mn>16.</m:mn><m:mspace width="0.2em"/></m:mrow></m:math>The product of <m:math><m:mrow><m:mn>−3</m:mn></m:mrow></m:math> and <m:math><m:mi>x</m:mi></m:math> is <m:math><m:mrow><m:mn>−51</m:mn><m:mo>.</m:mo></m:mrow></m:math></para>
+<para id="fs-id1171104071198"><m:math><m:mrow><m:mn>16.</m:mn><m:mspace width="0.2em"/></m:mrow></m:math>The product of <m:math><m:mrow><m:mn>−3</m:mn></m:mrow></m:math> and <m:math><m:mi>y</m:mi></m:math> is <m:math><m:mrow><m:mn>−51</m:mn><m:mo>.</m:mo></m:mrow></m:math></para>
 <para id="fs-id1171103981012"><emphasis effect="bold">Solve:</emphasis></para>
 <para id="fs-id1171103053241"><m:math><m:mrow><m:mn>17.</m:mn><m:mspace width="0.4em"/><m:mn>−6</m:mn><m:mi>r</m:mi><m:mo>=</m:mo><m:mn>24</m:mn></m:mrow></m:math></para>
 </section>

modules/m81275/index.cnxml

@@ -1850,7 +1850,7 @@ The sign outside the parentheses indicates the opposite. We read <m:math><m:mo>
 </list></solution>
 </exercise><exercise id="fs-id4499374">
 <problem id="fs-id1673831">
-<para id="fs-id1673833"><emphasis effect="bold">Extreme temperatures</emphasis> The highest recorded temperature on Earth is <m:math><m:mrow><m:mtext>58° Celsius,</m:mtext></m:mrow></m:math> recorded in the Sahara Desert in 1922. The lowest recorded temperature is <m:math><m:mrow><m:mtext>90°</m:mtext></m:mrow></m:math> below <m:math><m:mrow><m:mtext>0° Celsius,</m:mtext></m:mrow></m:math> recorded in Antarctica in 1983. Use integers to write the:<newline/>
+<para id="fs-id1673833"><emphasis effect="bold">Extreme temperatures</emphasis> The highest recorded temperature on Earth is <m:math><m:mrow><m:mtext>57° Celsius</m:mtext></m:mrow></m:math>. The lowest recorded temperature is <m:math><m:mrow><m:mtext>90°</m:mtext></m:mrow></m:math> below <m:math><m:mrow><m:mtext>0° Celsius</m:mtext></m:mrow></m:math>. Use integers to write the:<newline/>
 <list id="eip-id1168469592782" list-type="enumerated" number-style="arabic" class="circled"><item><span class="token">ⓐ</span> highest recorded temperature</item>
 <item><span class="token">ⓑ</span> lowest recorded temperature </item>
 </list></para></problem>

modules/m81326/index.cnxml

@@ -635,7 +635,7 @@ If you missed this problem, review <link target-id="fs-id1730062" document="m813
  </row>
  <row>
  <entry valign="top">Step 5. <emphasis effect="bold">Solve</emphasis> the equation.</entry>
- <entry><media id="eip-id1168469890834" alt="."><image mime-type="image/jpeg" src="../../media/CNX_BMath_Figure_09_03_053_img-03.png"/></media></entry>
+ <entry><media id="eip-id1168469890834" alt="."><image mime-type="image/jpeg" src="../../media/CNX_BMath_Figure_09_03_053_img-03.jpg"/></media></entry>
  </row>
  <row>
  <entry>Step 6. <emphasis effect="bold">Check:</emphasis><newline/><media id="eip-id1168469481160" alt="."><image mime-type="image/jpeg" src="../../media/CNX_BMath_Figure_09_03_053_img-04.png"/></media></entry>

modules/m81366/index.cnxml

@@ -1524,7 +1524,7 @@ Since <m:math><m:mrow><m:mn>−2</m:mn></m:mrow></m:math> is a negative, the ine
 <note id="fs-id1167835370593" class="try">
 <exercise id="fs-id1167835370597">
 <problem id="fs-id1167835370599">
-<para id="fs-id1167835370602">Brenda’s best friend is having a destination wedding and the event will last three days. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?</para>
+<para id="fs-id1167835370602">Brenda’s best friend is having a destination wedding and the event will require 3 nights in a hotel. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?</para>
 </problem>
 <solution id="fs-id1167835327683">
 <para id="fs-id1167831921533">Brenda must babysit at least 27 hours.</para>

modules/m81444/index.cnxml

@@ -322,7 +322,7 @@ If you missed this problem, review <link target-id="fs-id1167835512989" document
 <example id="fs-id1169148948239">
 <exercise id="fs-id1169144730809">
 <problem id="fs-id1169149204958">
-<para id="fs-id1169144560227">Simplify: <span class="token">ⓐ</span> <m:math><m:mrow><m:mroot><m:mrow><m:mn>−125</m:mn></m:mrow><m:mn>3</m:mn></m:mroot></m:mrow></m:math> <span class="token">ⓑ</span> <m:math><m:mo>-</m:mo><m:mrow><m:mroot><m:mrow><m:mn>16</m:mn></m:mrow><m:mn>4</m:mn></m:mroot></m:mrow></m:math> <span class="token">ⓒ</span> <m:math><m:mrow><m:mroot><m:mrow><m:mn>−243</m:mn></m:mrow><m:mn>5</m:mn></m:mroot><m:mo>.</m:mo></m:mrow></m:math></para>
+<para id="fs-id1169144560227">Simplify: <span class="token">ⓐ</span> <m:math><m:mrow><m:mroot><m:mrow><m:mn>−125</m:mn></m:mrow><m:mn>3</m:mn></m:mroot></m:mrow></m:math> <span class="token">ⓑ</span> <m:math><m:mrow><m:mroot><m:mrow><m:mo>-</m:mo><m:mn>16</m:mn></m:mrow><m:mn>4</m:mn></m:mroot></m:mrow></m:math> <span class="token">ⓒ</span> <m:math><m:mrow><m:mroot><m:mrow><m:mn>−243</m:mn></m:mrow><m:mn>5</m:mn></m:mroot><m:mo>.</m:mo></m:mrow></m:math></para>
 </problem>
 <solution id="fs-id1169149065347">
 <para id="fs-id1169146662763"><span class="token">ⓐ</span> <newline/>

modules/m81452/index.cnxml

@@ -324,7 +324,7 @@ Draw a right triangle as if you were going to<newline/>find slope.</entry>
 <example id="fs-id1169147741999">
 <exercise id="fs-id1169147964168">
 <problem id="fs-id1169145735350">
-<para id="fs-id1169148132847">Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−5</m:mn><m:mo>,</m:mo><m:mn>−4</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>7</m:mn><m:mo>,</m:mo><m:mn>2</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
+<para id="fs-id1169148132847">Use the Midpoint Formula to find the midpoint of the line segment whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−5</m:mn><m:mo>,</m:mo><m:mn>−4</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>7</m:mn><m:mo>,</m:mo><m:mn>2</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
 </problem>
 <solution id="fs-id1169147962947">
 <para id="fs-id1169147963387">
@@ -363,7 +363,7 @@ Draw a right triangle as if you were going to<newline/>find slope.</entry>
 <note id="fs-id1169145573908" class="try">
 <exercise id="fs-id1169145545027">
 <problem id="fs-id1169147868541">
-<para id="fs-id1169147873376">Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−3</m:mn><m:mo>,</m:mo><m:mn>−5</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>7</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
+<para id="fs-id1169147873376">Use the Midpoint Formula to find the midpoint of the line segment whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−3</m:mn><m:mo>,</m:mo><m:mn>−5</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>7</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
 </problem>
 <solution id="fs-id1169147816772">
 <para id="fs-id1169145496997">
@@ -377,7 +377,7 @@ Draw a right triangle as if you were going to<newline/>find slope.</entry>
 <note id="fs-id1169147949370" class="try">
 <exercise id="fs-id1169147946079">
 <problem id="fs-id1169147719363">
-<para id="fs-id1169147715352">Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−2</m:mn><m:mo>,</m:mo><m:mn>−5</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>6</m:mn><m:mo>,</m:mo><m:mn>−1</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
+<para id="fs-id1169147715352">Use the Midpoint Formula to find the midpoint of the line segment whose endpoints are <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−2</m:mn><m:mo>,</m:mo><m:mn>−5</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>6</m:mn><m:mo>,</m:mo><m:mn>−1</m:mn></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math> Plot the endpoints and the midpoint on a rectangular coordinate system.</para>
 </problem>
 <solution id="fs-id1169148054409">
 <para id="fs-id1169147747416">
@@ -1080,7 +1080,7 @@ To find the midpoint of a line segment, we find the average of the <emphasis eff
 </problem>
 </exercise>
 <para id="fs-id1169147981703"><emphasis effect="bold">Use the Midpoint Formula</emphasis></para>
-<para id="fs-id1169147825927">In the following exercises, <span class="token">ⓐ</span> find the midpoint of the line segments whose endpoints are given and <span class="token">ⓑ</span> plot the endpoints and the midpoint on a rectangular coordinate system.</para>
+<para id="fs-id1169147825927">In the following exercises, <span class="token">ⓐ</span> find the midpoint of the line segment whose endpoints are given and <span class="token">ⓑ</span> plot the endpoints and the midpoint on a rectangular coordinate system.</para>
 <exercise id="fs-id1169147935246" class="material-set-2">
 <problem id="fs-id1169147935248">
 <para id="fs-id1169145577358"><m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>0</m:mn><m:mo>,</m:mo><m:mn>−5</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>4</m:mn><m:mo>,</m:mo><m:mn>−3</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math></para>

modules/m81453/index.cnxml

@@ -1282,7 +1282,7 @@ If you missed this problem, review <link document="m81427" target-id="fs-id11678
 </solution>
 </exercise>
 <para id="fs-id1163873604614"><emphasis effect="bold">Use the Midpoint Formula</emphasis></para>
-<para id="fs-id1163873702172">In the following exercises, find the midpoint of the line segments whose endpoints are given.</para>
+<para id="fs-id1163873702172">In the following exercises, find the midpoint of the line segment whose endpoints are given.</para>
 <exercise id="fs-id1163866979854">
 <problem id="fs-id1163866979856">
 <para id="fs-id1163866979858"><m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−2</m:mn><m:mo>,</m:mo><m:mn>−6</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math> and <m:math><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mn>−4</m:mn><m:mo>,</m:mo><m:mn>−2</m:mn></m:mrow><m:mo>)</m:mo></m:mrow></m:mrow></m:math></para>

modules/m82454/index.cnxml

@@ -1975,7 +1975,7 @@
 </exercise>
 <exercise id="fs-id1170655224551">
 <problem id="fs-id1170655224553">
-<para id="fs-id1170655224555"><emphasis effect="bold">Extreme temperatures</emphasis> The highest recorded temperature on Earth was <m:math><m:mrow><m:mn>58</m:mn><m:mtext>°</m:mtext></m:mrow></m:math> Celsius, recorded in the Sahara Desert in 1922. The lowest recorded temperature was <m:math><m:mrow><m:mn>90</m:mn><m:mtext>°</m:mtext><m:mspace width="0.2em"/><m:mtext>below</m:mtext><m:mspace width="0.2em"/><m:mn>0</m:mn><m:mtext>°</m:mtext></m:mrow></m:math> Celsius, recorded in Antarctica in 1983.</para>
+<para id="fs-id1170655224555"><emphasis effect="bold">Extreme temperatures</emphasis> The highest recorded temperature on Earth was <m:math><m:mrow><m:mn>57</m:mn><m:mtext>°</m:mtext></m:mrow></m:math> Celsius. The lowest recorded temperature was <m:math><m:mrow><m:mn>90</m:mn><m:mtext>°</m:mtext><m:mspace width="0.2em"/><m:mtext>below</m:mtext><m:mspace width="0.2em"/><m:mn>0</m:mn><m:mtext>°</m:mtext></m:mrow></m:math> Celsius.</para>
 <para id="fs-id1170655222289">Use integers to write the:</para>
 <list id="fs-id1166425263178" list-type="enumerated" number-style="arabic" class="circled">
 <item><span class="token">ⓐ</span> highest recorded temperature.</item>

modules/m82470/index.cnxml

@@ -64,7 +64,7 @@ If you missed this problem, review <link target-id="fs-id1168344315853" document
 <title>Graph Inequalities on the Number Line</title>
 <para id="fs-id1168345197716">Do you remember what it means for a number to be a solution to an equation? A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.</para>
 <para id="fs-id1168345465826">What about the solution of an inequality? What number would make the inequality <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math> true? Are you thinking, ‘<emphasis effect="italics">x</emphasis> could be 4’? That’s correct, but <emphasis effect="italics">x</emphasis> could be 5 too, or 20, or even 3.001. Any number greater than 3 is a solution to the inequality <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math>.</para>
-<para id="fs-id1168345507984">We show the solutions to the inequality <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math> on the number line by shading in all the numbers to the right of 3, to show that all numbers greater than 3 are solutions. Because the number 3 itself is not a solution, we put an open parenthesis at 3. The graph of <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math> is shown in <link target-id="CNX_ElemAlg_Ch02_Figure_02_07_001"/>. Please note that the following convention is used: light blue arrows point in the positive direction and dark blue arrows point in the negative direction.</para>
+<para id="fs-id1168345507984">We show the solutions to the inequality <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math> on the number line by shading in all the numbers to the right of 3, to show that all numbers greater than 3 are solutions. Because the number 3 itself is not a solution, we put an open parenthesis at 3. The graph of <m:math><m:mrow><m:mi>x</m:mi><m:mo>></m:mo><m:mn>3</m:mn></m:mrow></m:math> is shown in <link target-id="CNX_ElemAlg_Ch02_Figure_02_07_001"/>. Please note that the following convention is used: thick arrows point in the positive direction and thin arrows point in the negative direction.</para>
 <figure id="CNX_ElemAlg_Ch02_Figure_02_07_001">
 <media id="fs-id1168345484183" alt="This figure is a number line ranging from negative 5 to 5 with tick marks for each integer. The inequality x is greater than 3 is graphed on the number line, with an open parenthesis at x equals 3, and a red line extending to the right of the parenthesis.">
 <image mime-type="image/jpeg" src="../../media/CNX_ElemAlg_Figure_02_07_001_img_new.jpg"/>

modules/m82478/index.cnxml

@@ -381,7 +381,7 @@ If you missed this problem, review <link document="m82470" target-id="fs-id11683
 <para id="fs-id1168344247305">Sometimes life gets complicated! There are many situations in which several quantities contribute to the total expense. We must make sure to account for all the individual expenses when we solve problems like this.</para>
 <example id="fs-id1168344514038"><exercise id="fs-id1168344504171">
 <problem id="fs-id1168344504174">
-<para id="fs-id1168344504176">Brenda’s best friend is having a destination wedding and the event will last 3 days. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?</para>
+<para id="fs-id1168344504176">Brenda’s best friend is having a destination wedding and the event will require 3 nights in a hotel. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?</para>
 </problem>
 <solution id="fs-id1168344229454">
 <title>Solution</title>