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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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If I get 10 coins every five seconds and I have 56,150 coins. How long have I spent collecting coins?
podryga [215]
Step 1)
10 coins every 5 seconds means 2 coins every second. So here is a hint, divide 56150 by 2. Hope this helps!!
3 0
3 years ago
A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
8 t-shirts and 5 pairs of pants cost $220 how much does each t-shirt and pair of pants cost
Yakvenalex [24]
Hey, It looks like you're in Algebra and I'm here to give the best solution I can!

To write the equation, you are going to use the Standard Form. Standard Form is one way of solving this problem, and it is used to find the x,and y-intercepts of a problem.
Standard Form can be written using the equation <span>ax+by=c

</span>In your problem, you will write the equation like so, with 'x' representing T-Shirts, and 'y' representing pants:
<span>
8x+5y=220</span>
Now, in order to find the x-intercept you need to substitute a 0 for the 'y' variable and solve the new equation, 8x=220.
I'm sure you know you need to divide both sides by 8 which will give you the answer x=27.5.

Now, in order to find 'y' you would substitute a 0 for the 'x' variable which will give you an equation that should look like 5y=220.
Then, divided both sides by 5 to get your y-intercept.
y=44

Finally,you know that each T-Shirt (x) is $27.50, and each pair of pants(y)costs $44

-I hope this helped you, Sincerely, Auhrevo!
6 0
3 years ago
There are 90 students in the school band. 40% of them are sixth graders. How many band members are sixth graders?
Phoenix [80]

Answer:

36

Step-by-step explanation:

.4 x 90

7 0
3 years ago
Read 2 more answers
A farmhouse shelters 10 animals. Some are pigs and sone are ducks. Altogether there are 36 legs. How many of each animal are the
german
8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.

There are 8 pigs and 2 ducks.
7 0
3 years ago
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