Questions in mathematics

Questions in mathematics

[Jawaban] What is [tex]10 \frac{3}{4} - 7 \frac{1}{4}[/tex]? Keep this as a fraction. Do not convert to a decimal.

[Jawaban] What is the smallest positive value of \( x \) for which \( y = \cos(3x) \) has a minimum value?

[Jawaban] A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the nearest tenth of a second and enter only the number.) HINTS: • When the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation. • Though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). Take the a, b, and c values from the function in the question above. • When you solve the quadratic for the zeros, you will have two answers. One of the answers will not make sense for a baseball hit into the outfield. The one that does make sense will be the correct answer.

[Jawaban] The left and right page numbers of an open book are two consecutive integers whose sum is 377. Find these page numbers. The smaller page number is ? The larger page number is ?

[Jawaban] 37 pumpkins each weigh 48 ounces. Distributed into 3 baskets: - The weight of basket A is 3 times the weight of basket C. - Basket B is twice the weight of basket C. - Basket C is 140 ounces empty. What is the total weight of basket C with pumpkins in it?

[Jawaban] Solve for \( Y \) in the equation \( ax + by = c \).

[Jawaban] Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 hours, and Car B traveled the distance in 4.5 hours. Car B traveled 5 mph slower than Car A. How fast did Car B travel?

[Jawaban] What are the possible steps involved in solving the equation shown? \[ 3.5 + 1.2(6.3 - 7x) = 9.38 \]

[Jawaban] Last week, Ms. Simpson worked 28 hours in total. She stocked shelves for 45 minutes each hour for 14 of those hours. The rest of the time she worked in customer service. How many minutes last week did Ms. Simpson work in customer service? (Hint: There are 60 minutes in an hour)

[Jawaban] Convert \(10\frac{7}{12}\) into an improper fraction.