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ddd [48]
3 years ago
5

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store p

acks 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
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The answer is C. 16

Step-by-step explanation:

Notepads of the same color = 4

As we have two sizes then total for the same color = 4\times2=8

Notepads of the different colors as we have to choose 3 different colors out of 4 = 4C3 = 4

For two sizes the total for the different color = 4\times2=8

We can group these like - Same size same color package:

There are eight combinations

Size 1:

BBB  

GGG

YYY

PPP

Size 2:

BBB

GGG

YYY

PPP

Next groups form like : Same size different color

Size 1:

BGY

BYP

GYP

BGP

Size 2:

BGY

BYP

GYP

BGP

So, we get total =8+8=16

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lesantik [10]
Write and solve an equation of ratios:

6 inches          1 inch
-------------- = ------------
60 inches            x

Cross-multiplying, 6x = 60, so x = 10 inches (answer)
5 0
3 years ago
The airport security randomly selected 35 suitcases from in the security line. Of these bags, they screened 7 suitcases. Based o
iVinArrow [24]

Answer: 140

Step-by-step explanation: 7/35 = 5 so for every 5 people 1 will be checked. 700/5= 140

3 0
3 years ago
Emerson has $120. Each week, he saves an additional $15. Write a function f(x) that models the total amount of money Emerson has
Nastasia [14]

Answer:

f(x) = 120 + (15 * x)


3 0
3 years ago
Read 2 more answers
Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie
timama [110]

Answer:

  • (16, 7)

Step-by-step explanation:

Given rectangle JKLM

As per graph, the rectangle J'K'L'M' is the transformation of JKLM

Based on one of the points we can calculate the transformation rule:

<u>Let's use points K and K'</u>

  • K((-4, -8) → K'(6, -5)
  • 6 - (-4) = 10
  • -5 - (-8) = 3

<u>So the rule is </u>

  • (x', y') → (x + 10, y +3)

<u>Trapezoid STUV:</u>

  • Using point T(6, 4)

<u>Applying same rule:</u>

  • T' = (6 + 10, 4 +3) = (16, 7)
6 0
3 years ago
A line passes through the two given points. Is it vertical, horizontal, or neither?
Leviafan [203]

<u>Answer:</u>

A line passes through the two given points (5,2), (5,-2). The line is vertical line

<u>Solution:</u>

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m =\frac{y_{2}-y_{1}}{x_{2}-x_{2}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

So slope of our line =\frac{-2-2}{5-5}=\frac{-4}{0} = undefined

Here slope of our line is undefined which means it is parallel to the y – axis.

Hence, line passing through given points is vertical line

6 0
3 years ago
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