In one sentence, describe what the following article is about: Use the regular rules of algebra to isolate the variable. Remember that whatever you do to one side of the equation, you must also do to the other side. For example, to solve .9=.20x+.15(5x){\displaystyle .9=.20x+.15(5-x)}: First use the distributive property to simplify the value in parentheses:.9=.20x+.75.15x{\displaystyle .9=.20x+.75-.15x}. Second, combine the x{\displaystyle x} terms:.9=.05x+.75{\displaystyle .9=.05x+.75}. Third, subtract .75{\displaystyle .75} from each side:.9.75=.05x+.75.75{\displaystyle .9-.75=.05x+.75-.75}.15=.05x{\displaystyle .15=.05x}. Fourth, divide each side by .05{\displaystyle .05}:.15.05=.05x.05{\displaystyle {
rac {.15}{.05}}={
rac {.05x}{.05}}}3=x{\displaystyle 3=x}So, you need 3 liters of the first ingredient, the 20% saline solution, for your final mixture. Remember that in your original table you had two variables, x{\displaystyle x} and y{\displaystyle y}. To find the value of y{\displaystyle y}, go back to the expression you used to restate y{\displaystyle y} in terms of x{\displaystyle x}. Plug the value of x{\displaystyle x} into this equation and solve. For example, if you found that y=5x{\displaystyle y=5-x} and 3=x{\displaystyle 3=x}, plug 3 into the equation and solve:y=53{\displaystyle y=5-3}y=2{\displaystyle y=2} The variable x{\displaystyle x} will give you the missing value for the first ingredient. The variable y{\displaystyle y} will give you the missing value for the second ingredient. For example, if you needed to find how many liters of a 20% saline solution and how many liters of a 15% saline solution you need combine to make 5 liters of a 18% solution, then x{\displaystyle x} will tell you how many liters of the first solution you need, and y{\displaystyle y} will tell you how many liters of the second solution you need. So if x=3{\displaystyle x=3} and y=2{\displaystyle y=2}, you need 3 liters of the 20% solution, and 2 liters of the 18% solution.
Summary: Solve the equation for x{\displaystyle x}. Find the value of y{\displaystyle y}. Write out your final answer.

In one sentence, describe what the following article is about: In order for any romantic relationship to work, you need to communicate frequently. The first step in finding out if your girlfriend trusts you is to simply ask her. She'll appreciate the directness, and if the conversation goes well, the issue can be quickly settled. Try saying: "I'm happy that we're together, and I'm developing some strong feelings for you. Before this goes much farther, though, I'd like to ask if you see me as someone that you can trust." "I've noticed some tensions in our relationship recently. I'm not sure what's causing this, and am worried that there might be a lack of trust between us." Honesty and open communication are crucial to any trusting relationship. If you notice your girlfriend being dishonest with youincluding telling you "white lies" or half truthsthis may be a sign that she does not fully trust you. Lies will quickly erode a relationship and tear down any trust that may have existed between two people. If you notice or suspect that your girlfriend has lied to you about an issue (big or small), politely and calmly ask her about it. Do not angrily accuse your girlfriend of having lied to you before you know the full truth of the situation. Be wary if your girlfriend seems reluctant to communicate. If your girlfriend frequently refuses to tell you where she is for an extended period of time or does not answer your calls or texts for days at a time, it may indicate a lack of trust. Successful communication between couples is key to healthy trust. If you're concerned about a lack of communication and are worried that it may also indicate a lack of trust, ask your girlfriend directly. Say something like, "I've noticed that we haven't been talking much lately, and I often have a hard time reaching you on your phone at night. Does this have anything to do with the trust in our relationship?" If there are trust issues, a single conversation or talk won't solve the problem. Realize that this will be an ongoing subject. Let your girlfriend take her time to develop trust while fostering a supportive relationship.
Summary: Ask your girlfriend if she trusts you. Note if your girlfriend lies to you. Gauge the frequency and quality of your communication.

In one sentence, describe what the following article is about: Pollen, such as ragweed, which blooms in late August and lasts until the first frost, is a common fall allergen. Wearing a mask, although not 100% effective can significantly reduce your pollen exposure when working outside. It is recommended that you wear a surgical-style face mask while outside during the autumn allergy season. You can buy an appropriate face mask at a local drugstore. It is recommended that you look for a mask with an "N95" rating from the National Institute of Occupational Safety and Health. Most weather stations and websites will report on pollen counts during the fall allergy season. On days when the pollen count is particularly high you should avoid heading outdoors. You can also stay inside during certain times of the day. For instance, pollen counts are typically highest in the late morning and early afternoon. This will help to minimize your exposure to allergens. Warm, dry, and windy days are the worst for those who suffer from ragweed allergies. For example, weather.com is a great site that includes an allergy tracker. Just type in your location and click on the allergy tracker located in the health section. During the fall season, in some parts of the world, trees will lose their leaves. Wet leaves act as a perfect breeding ground for mold, a common allergen. If you suffer from a mold allergy have someone else in your household remove fallen leaves from your yard. An allergy to ragweed, known as hay fever, is one of the most common fall allergies. Make sure that you do not have any ragweed in your own yard and minimize your contact with the plant while it is pollinating, from late August through to the first frost. Plant cover crops such as clover or buckwheat to help prevent ragweed from taking root in your yard.
Summary:
Wear a mask. Monitor pollen counts. Remove wet leaves from your yard. Avoid ragweed.