11. Q6
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<p>Calculate.</p><p>a) the mass of salt in <code class='latex inline'> 100 \mathrm{~kg} </code> of <code class='latex inline'> 30 \% </code> salt solution, by mass</p>
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<p>Calculate.</p><p>c) the volume of antifreeze in <code class='latex inline'> x </code> litres of a <code class='latex inline'> 30 \% </code> antifreeze solution, by volume</p>
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<p>The three key elements in lawn fertilizer are expressed as a ratio of their percents of the total mass. For example, in 20:4:8 fertilizer, <code class='latex inline'>\displaystyle 20 \% </code> is nitrogen, <code class='latex inline'>\displaystyle 4 \% </code> is phosphorus, and <code class='latex inline'>\displaystyle 8 \% </code> is potassium.</p><p>Calculate the mass of each element in each bag of fertilizer.</p><p>25-kg bag of <code class='latex inline'>\displaystyle 21: 7: 7 </code> fertilizer</p>
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Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
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<p>The three key elements in lawn fertilizer are expressed as a ratio of their percents of the total mass. For example, in 20:4:8 fertilizer, <code class='latex inline'>\displaystyle 20 \% </code> is nitrogen, <code class='latex inline'>\displaystyle 4 \% </code> is phosphorus, and <code class='latex inline'>\displaystyle 8 \% </code> is potassium.</p><p>Calculate the mass of each element in each bag of fertilizer.</p><p>20-kg bag of <code class='latex inline'>\displaystyle 10: 6: 4 </code> fertilizer</p>
<img src="/qimages/23915" /><p>The three most frequent letters in the English language are E, T, and A. They represent, on average, <code class='latex inline'>\displaystyle 30 \% </code> of all letters. The most frequent letter, E, is <code class='latex inline'>\displaystyle 4 \% </code> more frequent than the second most frequent letter, T. The combined frequency of <code class='latex inline'>\displaystyle \mathrm{T} </code> and <code class='latex inline'>\displaystyle \mathrm{A} </code> is <code class='latex inline'>\displaystyle 4 \% </code> greater than the frequency of E. Approximately how many E&#39;s can you expect to encounter in a 500-letter paragraph?</p><p>(A) 49</p><p>(B) 65</p><p>(C) 72</p><p>D 88</p>
<p>One store offers a discount of 20% on a price. Another store offers a <code class='latex inline'>\frac{1}{3}</code> discount on the same price. What fraction of the higher sale price is the lower sale price?</p>
<p>The three key elements in lawn fertilizer are expressed as a ratio of their percents of the total mass. For example, in 20:4:8 fertilizer, <code class='latex inline'>\displaystyle 20 \% </code> is nitrogen, <code class='latex inline'>\displaystyle 4 \% </code> is phosphorus, and <code class='latex inline'>\displaystyle 8 \% </code> is potassium.</p><p>Calculate the mass of each element in each bag of fertilizer.</p><p>50 -kg bag of <code class='latex inline'>\displaystyle 15: 5: 3 </code> fertilizer</p>
<p>Find each percent.</p><p>Six is what percent of 15?</p>
<p>Find each percent.</p><p>Eighteen is what percent of 60?</p>
<p>The three key elements in lawn fertilizer are expressed as a ratio of their percents of the total mass. For example, in 20:4:8 fertilizer, <code class='latex inline'>\displaystyle 20 \% </code> is nitrogen, <code class='latex inline'>\displaystyle 4 \% </code> is phosphorus, and <code class='latex inline'>\displaystyle 8 \% </code> is potassium.</p><p>Calculate the mass of each element in each bag of fertilizer.</p><p> 10 -kg bag of <code class='latex inline'>\displaystyle 20: 4: 8 </code> fertilizer</p>
<p>The table lists the number of days with rain during July in four Canadian cities. For each city, express the number of rainy days as a percent of the 31 days in July. Round to one decimal place.</p><p><code class='latex inline'>\displaystyle \begin{array}{|l|c|} \hline { Location } & Number of Days With Rain \\ \hline Toronto, ON & 10 \\ \hline Vancouver, BC & 7 \\ \hline Charlottetown, PE & 12 \\ \hline St. John's, NL & 14 \\ \hline \end{array} </code></p>
<p>Calculate.</p><p>c) the volume of antifreeze in <code class='latex inline'> x </code> litres of a <code class='latex inline'> 30 \% </code> antifreeze solution, by volume</p>
<p>Calculate.</p><p>b) the volume of alcohol in <code class='latex inline'> 500 \mathrm{~L} </code> of a <code class='latex inline'> 40 \% </code> alcohol solution, by volume</p>
<p>Find each percent.</p><p>What percent of 14 is 4.34?</p>
<p>Calculate.</p><p>d) the mass of silver in <code class='latex inline'> m </code> kilograms of <code class='latex inline'> 9 \% </code> silver alloy, by mass</p>
<p>The three key elements in lawn fertilizer are expressed as a ratio of their percents of the total mass. For example, in 20:4:8 fertilizer, <code class='latex inline'>\displaystyle 20 \% </code> is nitrogen, <code class='latex inline'>\displaystyle 4 \% </code> is phosphorus, and <code class='latex inline'>\displaystyle 8 \% </code> is potassium.</p><p>Calculate the mass of each element in each bag of fertilizer.</p><p>25-kg bag of <code class='latex inline'>\displaystyle 21: 7: 7 </code> fertilizer</p>
<p>Calculate.</p><p>a) the mass of salt in <code class='latex inline'> 100 \mathrm{~kg} </code> of <code class='latex inline'> 30 \% </code> salt solution, by mass</p>
<p>An all-inclusive resort vacation charges an airport tax of <code class='latex inline'>\displaystyle \$ 150 </code> plus <code class='latex inline'>\displaystyle 8 \% </code> tax and <code class='latex inline'>\displaystyle 10 \% </code> gratuity. If the total cost for a vacation is <code class='latex inline'>\displaystyle \$ 3926 </code>, what is the cost of the vacation before the extra fees and taxes?</p>
<p>About <code class='latex inline'>\frac{3}{4}</code> of the students in Ms. Elly&#39;s class use instant messaging every day.</p><p>About 60% of these students are girls.</p><p>a) What fraction of the whole class are the girls who use instant messaging?</p><p>b) How many students do you think are in the class? Why?</p>
<p>A certain tax policy states that the first $50 000 of income is taxed at 5% and any income above $50 000 is taxed at 12%.</p><p>a) Calculate the tax on <code class='latex inline'>\$125 000</code></p><p>b) Write a function that models the tax policy.</p>
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