# Problem of the Day #9 April 3, 2020

Apr 03, 2020**Problem of the Day #9 April 3, 2020**

**Grade 6: **If 4 out of every 25 people have red hair, what percentage of people have red hair?

**Grade 7: **Mrs. Johnson asks her students where they would like to go on vacation. Out of everyone in the class, 10 want to go to Hawaii, 14 want to go to Italy, 7 want to go to France, 3 want to go to New York and the rest are undecided. If 20% of the students want to go to Hawaii, how many students are in the class?

**Grade 8: **Saturn in 1.4 x 10^{9} km from the Sun and Venus is 1.1 x 10^{8} km from the Sun. How much further from the Sun is Saturn than Venus?

**Algebra: **Judy Jetson skateboarded from her house to her friend’s house at an average speed of 16km/h. Then she and her friend took a hovercraft to the mall. The hovercraft traveled at 80km/h. The entire trip took 4 hours and was a total distance of 224 km. How long was Judy riding her skateboard and how long was she and her friend in the hovercraft?

**Geometry: **Cylinder A has a radius of 3 cm and a height of 4 cm. Cylinder B has a radius of 4 cm and a height of 3cm. What is the ratio of the volume of Cylinder A to Cylinder B?

**Algebra 2: **A lightning hot shuttle plunged into a frozen lake. This caused the shuttle to cool off quickly. The relationship between the time since the shuttle hit the lake, in seconds and the temperature difference , D( *t *) = 373 x ( 5/7)* ^{t/2.4}* The temperature difference is reduced by a factor of 5/7 every ____ seconds?

**Trigonometry: **Find the midline, maximum and minimum of the following function: *y* = 6 sin (2x -3) -5

**Pre-Calculus: ** Two popcorn kernels escaped from the pot. The first kernels displacement from the pot was ( 12,5 ) and the second kernels displacement was. (12, -16). How much further did the second kernel travel than the first? How far apart are the kernels?

**Answers: **

**Grade 6: **16%

**Grade 7: **16

**Grade 8: **1.29 x 10^{9} km

**Algebra: **skateboard 1.5 hours, hovercraft 2.5 hours

**Geometry: **3/4

**Algebra 2: **2.4

**Trigonometry: ** midline y = -5, maximum y = 1, minimum y = -11

**Pre-Calculus: **7 ft further, 21 ft apart.

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