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serious [3.7K]
3 years ago
11

Four houses in a row are each to be painted with one of the colors red, blue, green, and yellow. In how many different ways can

the houses be painted so that no two adjacent houses are of the same color? There are possible ways to paint the houses.
Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

Possible ways to paint the house is 108

Step-by-step explanation:

Total number of houses to be painted=4

Total number of colours to b used(red,blue,green and yellow)=4

Number of ways to paint the first house=4

Number of ways to paint the second house=3

Number of ways to paint the third house=3

Number of ways to paint the fourth house=3

Total number of ways to paint the 4 houses=4×3^3=108 ways.

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The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1
sasho [114]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

<u><em>Putting x =2, y =3</em></u>

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

<em>Dividing both sides by 2</em>

=> a = 1

3 0
3 years ago
Read 2 more answers
Pls help tap picture to see the three problems
valentinak56 [21]
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3

2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.

3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
8 0
3 years ago
PLEASE ANSWER!!
Elodia [21]
The answer is A I believe
6 0
3 years ago
In simplest form, what fraction of the figure is shaded?
yan [13]
5/6, 1/3 hope this helps :))
4 0
3 years ago
Factories 24x^2-41x+12
andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

5 0
3 years ago
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