MATHEMATICS HIGH SCHOOL

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?A. 6.
B. 8.
C. 16.
D. 24.
E. 32.

Answers

Answer 1

Answer:

Answer:

Option C. 16

Step-by-step explanation:

Number of differents colors = 4

Number of differents sizes = 2

Case 1: 3 notepads of the same size and the same color:

If we have a package with the same size and the same color, the number of possible packages is:

N° packages = 4(colors)*2(sizes) = 8

Case 2: 3 notepads of the same size and different colors:

In this case, to calculate the number of possible permutations of packages without repetitions we need to use the following equation:

$C_(n)^[p} = (n!)/(p!(n-p)!)$

where p: is the number of colors for each package = 3, and n: is the total number of colors = 4.

$C_(4)^[3} = (4!)/(3!(4-3)!) = (4*3*2*1)/(3*2*1) = 4$

This number calculated is for one size, if the have two different sizes the number of possible packages is:

N° packages = 4(colors)*2(sizes) = 8

Therefore, the total number of different possible packages is:

N° packages = case 1 + case 2 = 8 + 8 = 16

So, the correct answer is option C = 16.

I hope it helps you!

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Describe how to find the area of the patio

Answers

You must use the information you're given, together with everything you know about the area of various shapes, to translate the known into the solution for the unknown. Since you gave us none of the former, and we remain dubious concerning the scope and extent of the latter, there's no more that can be said.

Pick a city in Maryland and determine the average high temperatures for eachmonth. Record this in a table.

Answers

Answer:

Baltimore is the most populous city in the state of Maryland. The city is located in the center of the state, next to the Patapsco River, which empties into the Chesapeake Bay.

Baltimore has a humid subtropical climate, according to the climatic classification of Köppen.

July is the hottest month of the year, with an average of maximum temperatures of 91 ° F and 73 ° F of average low temperatures. The summers are very humid in the Baltimore area. The maximum temperatures registered were of 107 ° F in 1985. On the other hand, January is the coldest month, with average temperatures of 44 ° F maximum and 30 ° F of minimum temperatures. However, winters may present gusts of warm winds that soften temperatures to the point of enjoying spring periods and Arctic winds cause the collapse of temperatures, especially at night. The lowest temperature registered in Baltimore was -7 ° F, in 1934 and 1984. Due to the heat island effect in the city and a moderate effect of the Chesapeake Bay, the external and internal parts of the Baltimore metropolitan area are usually colder than the city itself and the coastal cities.

The average high temperature of Baltimore in each month is:

-January: 44º F

-February: 47º F

-March: 57º F

-April: 68º F

-May: 77º F

-June: 86º F

-July: 91º F

-August: 88º F

-September: 81º F

-October: 70º F

-November: 59º F

-December: 49º F

Baltimore Average Temperature 2016

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Fei yen dog eats 8 ounces of dog food each day. Fei yen bought a 28 pound bag of dog food. How many 8ounce servings are in a pound bag of dog food

Answers

First you need to know how many ounces are in a pound=16 oz
16x28= 448 oz of food
448/8= 56 servings of dog food

24 with a remainder of 4

What scale factor was used when going from the grey triangle to the yellow triangle

Answers

Answer:

It was used $(1)/(3)$ as scale factor.

Step-by-step explanation:

The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.

Let's work with the below side.

The below side is extended from the point $(-2,4)$ to the point $(7,4)$