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Make the following comparisons and interpret each one.

  1. Compare 16 paintings and 2 artists by: Subtraction:
    Is your answer for part (b) an example of a ratio or a rate? Explain your answer.
  2. Compare 18 books and 6 books by: Subtraction:
    Is your answer for part (b) an example of a ratio or a rate? Explain your answer.
  3. Is 5/13 an example of a ratio or a rate? Explain your answer.
  4. Write 14pencils/2people in the form “a to b.” Reduce if possible.
  5. Describe the proportion using words. 12movies/3nights = 4movies/1night
  6. Find the missing factor. 1.5/7 = x/21
  7. Express the sentence as a proportion and solve for x. 16 cups are to 1 gallon as x cups are to 5 gallons.
  8. The ratio of green candies to red candies in a bag is 3:2. If there are 42 green candies, how many red candies are there?
  9. A bottle of children’s liquid fever medicine says the dose for children under 12 is 1/8teaspoon for every 10 pounds your child weighs. If your child weighs 40 pounds, how much medicine should be given?
  10. Convert 1% to a fraction and a decimal.
  11. Convert 14/4 to a decimal and percent.
  12. Convert 400/40 to a decimal and percent. =
  13. Convert 14/5% to a fraction.
  14. Convert 43/16% to a 4-place decimal.

For questions 15-20, write an equation for each problem and solve.

  1. A pearl ring is on sale for 15% off the regular price. The discounted price of the ring is $353.60. What was the original price of the ring?
  2. A computer is advertised at $1,285 and you pay $1,366.60. What percent tax are you paying?
  3. If you get 91% on a test with 133 questions, how many did you miss? Round your answer to the nearest whole number.
  4. 78 is what percent of 65?
  5. 7.2 is 16% of what number?
  6. What is 115% of 40?

Specify the number of terms and factors in each expression, then list them.

  1. Terms:
  2. Factors: 5m + 3n
  3. Terms:
  4. Factors:
  5. Solve 6x + 4y2 + 3 (x=2, y=3)
  6. Solve 2 [ -5 – 6(3x – 4y) ] (x=4, y= -1)

Combine like terms.

  1. 5x + 14y – 3z – x + 2y
  2. (-7+4)m – (15-2)m + |-2|m

State whether each of the following is an equation or an expression.

  1. 4x + 17
  2. 15 = 3y -16
  3. (2x+14y)/20


  1. 18k + 4 = 6k – 32
  2. y + 3.171 = 5.42


  1. 1/3x = 40
  2. 16a/6= 8
  3. 7/(x+1)= 21/(x-1)
  4. a=bcd solve for d

Translate the phrase or sentence into a mathematical equation and solve.

  1. Four more than nine times a number is sixteen less than five times the same number.
  2. A number less the opposite of negative thirteen is twenty-four.
  3. Four times a number increased by five is equal to six times the number decreased by nine.

Solve. Be sure to show your work.

  1. If you pay $1,494.93 for a TV that was on sale for 10% off with 6.75% sales tax, what was the original price of the TV? (Sales tax is calculated after the discount is taken.)
  2. Natalie is trying to figure out whether she can afford to buy a new car. She has the following regular monthly bills: rent $355, utilities $40, phone $25, car insurance $60, food $120, gas $50. Her new car payment will be $240. She makes $13 per hour and 15% is taken out for taxes. If she works the same number of hours each week and there are 4 weeks in each month, what is the minimum number of full hours Natalie would need to work per week to be able to afford the new car?
  3. Your grandma is six less than six times your age. If your grandma is 72, how old are you?
  4. Three people are sitting next to each other on a bench. The person in the middle is twice as old as the person to his left and 10 years younger than the person on his right. Their combined ages is 85. How old is the person in the middle?

Sample Answer

Compelling correspondence is essential to the achievement all things considered but since of the changing idea of the present working environments, successful correspondence turns out to be more troublesome, and because of the numerous impediments that will permit beneficiaries to acknowledge the plan of the sender It is restricted. Misguided judgments.In spite of the fact that correspondence inside the association is rarely completely open, numerous straightforward arrangements can be executed to advance the effect of these hindrances.

Concerning specific contextual analysis, two significant correspondence standards, correspondence channel determination and commotion are self-evident. This course presents the standards of correspondence, the act of general correspondence, and different speculations to all the more likely comprehend the correspondence exchanges experienced in regular daily existence. The standards and practices that you learn in this course give the premise to additionally learning and correspondence.

This course starts with an outline of the correspondence cycle, the method of reasoning and hypothesis. In resulting modules of the course, we will look at explicit use of relational connections in close to home and expert life. These incorporate relational correspondence, bunch correspondence and dynamic, authoritative correspondence in the work environment or relational correspondence. Rule of Business Communication In request to make correspondence viable, it is important to follow a few rules and standards. Seven of them are fundamental and applicable, and these are clear, finished, brief, obliging, right, thought to be, concrete. These standards are frequently called 7C for business correspondence. The subtleties of these correspondence standards are examined underneath: Politeness Principle: When conveying, we should build up a cordial relationship with every individual who sends data to us.

To be inviting and polite is indistinguishable, and politeness requires an insightful and amicable activity against others. Axioms are notable that gracious “pay of graciousness is the main thing to win everything”. Correspondence staff ought to consistently remember this. The accompanying standards may assist with improving courtesy:Preliminary considering correspondence with family All glad families have the mystery of progress. This achievement originates from a strong establishment of closeness and closeness. Indeed, through private correspondence these cozy family connections become all the more intently. Correspondence is the foundation of different affiliations, building solid partners of obedient devotion, improving family way of life, and assisting with accomplishing satisfaction (Gosche, p. 1). In any case, so as to keep up an amicable relationship, a few families experienced tumultuous encounters. Correspondence in the family is an intricate and alluring marvel. Correspondence between families isn’t restricted to single messages between families or verbal correspondence.

It is a unique cycle that oversees force, closeness and limits, cohesiveness and flexibility of route frameworks, and makes pictures, topics, stories, ceremonies, rules, jobs, making implications, making a feeling of family life An intelligent cycle that makes a model. This model has passed ages. Notwithstanding the view as a family and family automatic framework, one of the greatest exploration establishments in between family correspondence centers around a family correspondence model. Family correspondence model (FCP) hypothesis clarifies why families impart in their own specific manner dependent on one another ‘s psychological direction. Early FCP research established in media research is keen on how families handle broad communications data. Family correspondence was perceived as an exceptional scholastic exploration field by the National Communications Association in 1989. Family correspondence researchers were at first impacted by family research, social brain science, and relational hypothesis, before long built up the hypothesis and began research in a family framework zeroed in on a significant job. Until 2001, the primary issue of the Family Communication Research Journal, Family Communication Magazine, was given. Family correspondence is more than the field of correspondence analysts in the family. Examination on family correspondence is normally done by individuals in brain science, humanism, and family research, to give some examples models. However, as the popular family correspondence researcher Leslie Baxter stated, it is the focal point of this intelligent semantic creation measure making the grant of family correspondence special. In the field of in-home correspondence, correspondence is normally not founded on autonomous messages from one sender to one beneficiary, yet dependent on the dynamic interdependency of data shared among families It is conceptualized. The focal point of this methodology is on the shared trait of semantic development inside family frameworks. As such, producing doesn’t happen in vacuum, however it happens in a wide scope of ages and social exchange.

Standards are rules end up being followed when performing work to agree to a given objective. Hierarchical achievement relies significantly upon compelling correspondence. So as to successfully impart, it is important to follow a few standards and rules. Coming up next are rules to guarantee powerful correspondence: clearness: lucidity of data is a significant guideline of correspondence. For beneficiaries to know the message plainly, the messages ought to be sorted out in a basic language. To guarantee that beneficiaries can without much of a stretch comprehend the importance of the message, the sender needs to impart unmistakably and unhesitatingly so the beneficiary can plainly and unquestionably comprehend the data.>

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