Make the following comparisons and interpret each one.

- Compare 16 paintings and 2 artists by: Subtraction:

Division:

Is your answer for part (b) an example of a ratio or a rate? Explain your answer. - Compare 18 books and 6 books by: Subtraction:

Division:

Is your answer for part (b) an example of a ratio or a rate? Explain your answer. - Is 5/13 an example of a ratio or a rate? Explain your answer.
- Write 14pencils/2people in the form “a to b.” Reduce if possible.
- Describe the proportion using words. 12movies/3nights = 4movies/1night
- Find the missing factor. 1.5/7 = x/21
- Express the sentence as a proportion and solve for x. 16 cups are to 1 gallon as x cups are to 5 gallons.
- 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?
- 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?
- Convert 1% to a fraction and a decimal.
- Convert 14/4 to a decimal and percent.
- Convert 400/40 to a decimal and percent. =
- Convert 14/5% to a fraction.
- Convert 43/16% to a 4-place decimal.

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

- 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?
- A computer is advertised at $1,285 and you pay $1,366.60. What percent tax are you paying?
- If you get 91% on a test with 133 questions, how many did you miss? Round your answer to the nearest whole number.
- 78 is what percent of 65?
- 7.2 is 16% of what number?
- What is 115% of 40?

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

`8cf`

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

Combine like terms.

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

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

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

Solve.

- 18k + 4 = 6k – 32
- y + 3.171 = 5.42

Solve.

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

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

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

Solve. Be sure to show your work.

- 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.)
- 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?
- Your grandma is six less than six times your age. If your grandma is 72, how old are you?
- 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 Solution

The United States is home to the absolute generally famous and productive chronic executioners ever. Names, for example, Ted Bundy, Gary Ridgeway, and the Zodiac Killer have become commonly recognized names because of the terrible idea of their wrongdoings. Quite possibly the most productive chronic executioners in American history is John Wayne Gacy. Nicknamed the Killer Clown in view of his calling, Gacy assaulted and killed at any rate 33 adolescent young men and young fellows somewhere in the range of 1972 and 1978, which is one of the most noteworthy realized casualty checks. Gacy's story has become so notable that his violations have been highlighted in mainstream society and TV shows, for example, American Horror Story: Hotel and Criminal Minds. Legal science has, and proceeds to, assume a significant part in the settling of the case and ID of the people in question. John Wayne Gacy's set of experiences of sexual and psychological mistreatment was instrumental in provoking specialist's curiosity of him as a suspect. John Wayne Gacy was brought into the world on March 17, 1942, in Chicago, Illinois. Being the lone child out of three kids, Gacy had a stressed relationship with his dad, who drank intensely and was regularly damaging towards the whole family (Sullivan and Maiken 48). In 1949, a project worker, who was a family companion, would pet Gacy during rides in his truck; in any case, Gacy never uncovered these experiences to his folks because of a paranoid fear of requital from his dad (Foreman 54). His dad's mental maltreatment proceeded into his young grown-up years, and Gacy moved to Las Vegas where he worked momentarily in the emergency vehicle administration prior to turning into a funeral home chaperon (Sullivan and Maiken 50). As a funeral home chaperon, Gacy was vigorously associated with the preserving cycle and conceded that one night, he moved into the casket of an expired high school kid and touched the body (Cahill and Ewing 46). Stunned at himself, Gacy re-visitations of Chicago to live with his family and graduates from Northwestern Business College in 1963, and acknowledges an administration student position with Nunn-Bush Shoe Company. In 1964, Gacy is moved to Springfield and meets his future spouse, Marlynn Myers. In Springfield, Gacy has his subsequent gay experience when a collaborator unsteadily performed oral sex on him (London 11:7). Gacy moves to Waterloo, Iowa, and starts a family with Myers. Nonetheless, after consistently undermining his better half with whores, Gacy submits his initially known rape in 1967 upon Donald Vorhees. In the coming months, Gacy explicitly manhandles a few different young people and is captured and accused of oral homosexuality (Sullivan and Maiken 60). On December 3, 1968, Gacy is indicted and condemned to ten years at the Anamosa State Penitentiary. Gacy turns into a model detainee at Anamosa and is conceded parole in June of 1970, an only a short time after his condemning. He had to migrate to Chicago and live with his mom and notice a 10:00PM time limit. Not exactly a year later, Gacy is accused again of explicitly attacking a teen kid however the adolescent didn't show up in court, so the charges were dropped. Gacy was known by numerous individuals locally to be an energetic volunteer and being dynamic in local area legislative issues. His part as "Pogo the Clown" the jokester started in 1975 when Gacy joined a neighborhood "Happy Joker" comedian club that consistently performed at raising support occasions. On January 3, 1972, Gacy submits his first homicide of Timothy McCoy, a 16-year old kid making a trip from Michigan to Omaha. Asserting that McCoy went into his room using a kitchen blade, Gacy gets into an actual fight with McCoy prior to cutting him more than once in the chest. Subsequent to understanding that McCoy had absentmindedly strolled into the live with the blade while attempting to get ready breakfast, Gacy covers the body in his unfinished plumbing space. Gacy conceded in the meetings following his capture that executing McCoy gave him a "mind-desensitizing climax", expressing that this homicide was the point at which he "understood demise was a definitive rush" (Cahill and Ewing 349). Very nearly 2 years after the fact, Gacy submits his second homicide of a unidentified teen. Gacy choked the kid prior to stuffing the body in his wardrobe prior to covering him (Cahill 349). In 1975, Gacy's business was developing rapidly and his hunger for young fellows developed with it. Gacy frequently tricked youngsters under his work to his home, persuading them to place themselves in cuffs, and assaulting and tormenting them prior to choking them (Cahill 169-170). The vast majority of Gacy's killings occurred somewhere in the range of 1976 and 1978, the first of this time occurring in April 1976. A considerable lot of the young people that were killed during this time were covered in an unfinished plumbing space under Gacy's home. For the rest of the killings, Gacy confessed to losing five bodies the I-55 extension into the Des Plaines River; nonetheless, just four of the bodies were ever recuperated (Linedecker 152). In December 1978, Gacy meets Robert Jerome Piest, a 15-year old kid working at a drug store and offers him a work at Gacy's firm. Piest illuminates his mom regarding this and neglects to restore that night. The Piest family records a missing individual's report and the drug specialist advises police that Gacy would no doubt be the man that Jerome addressed about a work. When addressed by the police, Gacy denied any contribution in Piest's vanishing. Be that as it may, the police were not persuaded, and Gacy's set of experiences of sexual maltreatment and battery incited the police to look through his home. Among the things found at Gacy's home were a 1975 secondary school class ring with the initials J.A.S., different driver's licenses, cuffs, attire that was excessively little for Gacy, and a receipt for the drug store that Piest had worked at. Throughout the following not many days, examiners got numerous calls and tips about Gacy's rapes and the baffling vanishings of Gacy's representatives. The class ring was in the long run followed back to John A. Szyc, one of Gacy's casualties in 1977. Futhermore, after analyzing Gacy's vehicle, specialists found a little bunch of strands looking like human hair, which were shipped off the labs for additional investigation. That very night, search canines were utilized to recognize any hint of Piest in Gacy's vehicle, and one of the canines demonstrated that Piest had, truth be told, been available in the vehicle. On December 20, 1977, under the pressure of steady police observation and examination, Gacy admits to more than 30 homicides and educates his attorney and companion where the bodies were covered, both in the unfinished plumbing space and the stream. 26 casualties were found in the unfinished plumbing space and 4 in the stream. Gacy is captured, indicted for 33 killings, and condemned to death by deadly infusion. He endeavored a madness request yet was denied, and was executed on May 10, 1994. There were a few measurable pointers that examiners used to attach Gacy to the killings. A portion of these include fiber investigation, dental and radiology records, utilizing the deterioration cycle of the human body, and facial recreation in recognizing the people in question. Agents discovered filaments that took after human hair in both Gacy's vehicle and close to the unfinished plumbing space where the bodies were covered. Notwithstanding these hair tests, examiners likewise discovered filaments that contained hints of Gacy's blood and semen in a similar territory. Blood having a place with the casualties was found on a portion of the strands, which would later straightforwardly attach Gacy to the violations. The filaments in Gacy's vehicle were examined by criminological researchers and coordinated Piest's hair tests. Moreover, the hunt canines that discovered that Piest had been in Gacy's vehicle demonstrated this by a "passing response", which told specialists that Piest's dead body had been within Gacy's vehicle. Out of Gacy's 33 known casualties, just 25 were ever convincingly distinguished. A considerable lot of Gacy's casualties had comparable actual portrayals and were accordingly difficult to distinguish by absolutely asking the general population. To recognize the people in question, specialists went to Betty Pat Gatliff, a pioneer in measurable science and facial remaking. Facial reproduction is the way toward reproducing the facial highlights of a person by utilizing their remaining parts. Certain facial highlights, for example, facial structures, nasal design, and generally speaking face shape can be valuable in distinguishing a casualty even long in the afterlife. By utilizing these highlights, and with the assistance of program, criminological specialists can make a picture of an individual's face, which is instrumental in recognizing casualties after their bodies have rotted. Facial remaking should be possible in a few measurements. Two-dimensional facial reproductions is utilized with skull radiographs and depend on pre-demise photos and data. Nonetheless, this isn't really ideal on the grounds that cranial highlights are not generally obvious or at the correct scale (Downing). To get a sensible and more precise portrayal of the casualty's face, a craftsman and a scientific anthropologist are typically vital (Downing). Three-dimensional facial remaking is finished by figures or high goal, three-dimensional pictures. PC programs can make facial reproductions by controlling checked photos of the remaining parts and use approximations to reproduce facial highlights. These will in general create results that don't look counterfeit (Reichs and Craig 491). At times, examiners will utilize a strategy called superimposition as a method for facial remaking. Sadly, it's anything but an ordinarily utilized strategy, as it expects agents to have some information about the character of the remaining parts they are managing. By superimposing a photo of a person over the skeletal remaining parts, specialists can check whether the facial highlights line up with the anatomical highlights, permitting them to recognize a casualty. On account of John Wayne Gacy's casualties, specialists had the option to utilize facial recreation to distinguish nine of the bodies found in the unfinished plumbing space. The accompanying realistic shows the facial recreations of these nine casualties: Since facial recreation was sufficiently not to distinguish the entirety of the v>

GET ANSWER