Questions in mathematics

Questions in mathematics

[Jawaban] Suppose you have 192 marbles in groups of 15 marbles each. Find the number of groups of marbles that you have. Write the quotient with the remainder written as a fraction. Explain what the fractional part of your answer means.

[Jawaban] Can someone help me with this graph

[Jawaban] The quotient of eight raised to the power of two and four, decreased by six. How do you say this in word form, and what does it equal?

[Jawaban] For a spinning amusement park ride, the velocity [tex]v[/tex] in meters per second of a car moving around a curve with a radius [tex]r[/tex] meters is given by the formula [tex]v = \sqrt{ar}[/tex], where [tex]a[/tex] is the car’s acceleration in [tex]m/s^2[/tex]. a) For safety reasons, a ride has a minimum acceleration of [tex]39.2 \, m/s^2[/tex]. If the cars on the ride have a velocity of [tex]14 \, m/s[/tex], what is the smallest radius that any curve on the ride may have? b) What is the acceleration of a car moving at [tex]8 \, m/s[/tex] around a curve with a radius of [tex]2.5 \, m[/tex]?

[Jawaban] The Bake Star Bakery uses 2 1/4 cups of raisins to make 4 servings of trail mix. How many cups of raisins are in each serving?

[Jawaban] What number is 16% of 44?

[Jawaban] A 2-pound box of salt sells for $0.89, and a 5-pound box sells for $2.09. What is the linear equation for this?

[Jawaban] Sumo wrestlers in Japan are well known for their dedication, discipline, and very large bodies. A young sumo wrestler decides to go on a special high-protein diet to gain weight rapidly. After 4 months on this diet, his mass is 100 kilograms. After 14 months, his mass is 160 kilograms. Let's assume that the sumo wrestler's mass changes at a constant rate while he is on this special diet. What was the wrestler's mass in kilograms when he began his diet?

[Jawaban] Solve the following system of equations using the substitution method: \[ 2a = 8 \\ a + b = 2 \]

[Jawaban] On Friday, 537 people attended a play. For Saturday's matinee, there were 812 people. About how many more people attended the play on Saturday than on Friday?