when you divide 2 fractions, you reverse the second fraction then use multiplication
3/5 divided by 3/15 becomes
3/5 x 15/3 = 45/15 = 3
Let the number be x.
The final answer is 9x/6.
Hope this helps~
42.
-2 ≤ d + 1/2 < 4 1/2 (-1/2)
<u>-2 1/2 </u><u>≤ d </u><span><u>≤ 4</u>
44.</span>
2t ≤ -4 or 7t ≥ 49
2t <span>≤ -4 </span> (/2)
<u>t </u><u>≤ -2</u>
7t ≥ 49 (/7)
<u>t ≥ 7</u>
46.
-1 ≤ a - 3 ≤ 2 (+3)
<u>2 ≤ a ≤ 5</u>
The key to solving these types of questions is to think to yourself - what do I need to do to get the variable on its own? Then, apply this action to every part of the inequality separated by inequality signs. When you get two separate inequalities describing the value of the variable, just think about them separately and apply the same logic.
All you have to do for the last question (48.) is turn the question into an inequality. Calling the temperature <span>t</span>:
65 ≤ t ≤ 88
Notice the use of greater-than-or-equal symbols - this is because 65 and 88 were recorded temperatures, so are included in the range of values for <em>t</em>
I hope this helps
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.