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k0ka [10]
3 years ago
7

How many different 4 color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and wh

ite. all colors are used only once?
Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0
From the list of colors: green, red, blue, and white, there are four colors. The concept that should be used in order to determine the number of 4-color code stripes that can be drawn in the sports car is the concept of BASIC PRINCIPLE OF COUNTING.

The equations that would best help us in answering the question is,
                         n = 4! (that is, four factorial)
For the first pick, there are four choices. When one is already used then, there are only 3 choices for the second color, and so on until the last color. 
                         n = 4 x 3 x 2 x 1 = 24
Thus, there are 24 types of 4-color codes. 
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Kevin has three pieces of wood. Board A is 6 inches long, board B is 11 inches long, and board C is 4 inches long. If the full l
Alik [6]

Answer:

b. no, 6 + 4 < 11

Step-by-step explanation:

To form a triangle, longest length should be less than the sum of the two shorter ones.

4 0
3 years ago
Tara and Jody's bedrooms are shaped like rectangles. Tara's bedroom is 9 ft long and 8 ft wide. Jody's bedroom is 7ft long and 1
horrorfan [7]
Tara's Bedroom: A = lw
                           A =  (9)(8)
                           A = 72 ft²

Jody's Bedroom: A = lw
                           A = (7)(10)
                          A = 70 ft²

Tara's bedroom has the greater area than Jody's bedroom.
5 0
3 years ago
A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest
Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

3 0
3 years ago
HELP PLEASE 21 POINTS PLEASE HELP ME!!!! &lt;3
Anna007 [38]

1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

First term (a₁):  <u> -39  </u>          Common difference (d): <u> +10  </u>

Explicit rule:  a_{n} = -49 + 10n    Recursive rule: a_{n} = a_{n-1} + 10

a_{n} = a_{1} + d(n - 1)

a_{n} = -39 + 10(n - 1)

a_{n} = -39 + 10n - 10

a_{n} = -49 + 10n

***********************************************************************************

3)

n         1          2         3           4         5         6

f(n)   3.75      2.5     1.25        0      -1.25     -2.5

First term (a₁):  <u> 3.75  </u>          Common difference (d): <u> -1.25  </u>

Explicit rule:  a_{n} = 5 - 1.25n    Recursive rule: a_{n} = a_{n-1} - 1.25

a_{n} = a_{1} + d(n - 1)

a_{n} = 3.75 - 1.25(n - 1)

a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


6 0
3 years ago
Given g(x)=-2x-4find g(6)
Butoxors [25]

Answer:

g(6)=-16

Step-by-step explanation:

g(6)=-2(6)-4

g(6)=-12-4

g(6)=-16

Hope this helps lol

3 0
3 years ago
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