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MAJOR HELP ON MATH PROBLEMS(ALGEBRA!)?
1.A toy airplaine is 10inch long. If the actual airplaine is 75ft long, find the scale of the model. [[PLEASE SHOW YOUR WORK THANK YOU!]]
a. 2:14ft
b. 1:90ft
c. 4:25ft
d. 1:120ft
2. An "N-gauge" train model is created using a scale of 1:160ft. if an actual train engine, the "K-4," an early twentieth-century engine, is 45ft long, what is the length of an "N-gauge" model of the engine in inches?[[PLEASE SHOW YOUR WORK THANK YOU!]]
a. 3.56inches
b. 42.67inches
c. 3.375inches
d. 40.5inches
3. In the year 2010, 6.7% of the u.s population is projected to be under the age of 5. if the population will be about 298million, about how many people will be in this age range? round your answer to the nearest ten thousand.[[PLEASE SHOW YOUR WORK THANK YOU!]]
a. 199,670,000
b. 199,660,000
c. 19,966,000
d. 19,970,000
Question 1)
Change 75 ft into inches
1 foot = 12 inches
75 foot = 900 inches
900 / 10 = 90
Therefore scale is 1:90
Giving the answer B
2)
Divide the actual length by the scale.
45/160 = 0.28125 feet
Since the available choices are in inches, convert from feet to inches
(45/160)*12 = 3.375 inches
Giving the Answer C
3)
298,000,000 * 0.067 (Convert the 6.7% into a decimal by dividing by 100)
= 19,966,000
Answer is C