De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?

30 Points, 5 stars, thanks and Brainliest if answered correctly because I feel generous.

wlad13 [49]

Find the difference between each number:

-24/4 = -6

144/-24 = -6

The next number is multiplied by -6

You have the first 4 terms

5th term = -864 x -6 = 5184

6th term = 5184 x -6 = -31,104

7th term = -31,104 x -6 = 186,624

8th term = 186,624 x -6 = -1,119,744

4 0

3 years ago

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Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.

abruzzese [7]

Answer:

First, find the cost function of DoItRight Housekeeping:

Slope(m) = cost per hour = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12$

The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:

$f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8$

Therefore, the function for two companies are:

The function for DoItRight is $f(x)=12x+8$
The function for CleanIt is $g(x)=10x+16$

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

7 0

3 years ago

Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p

Fittoniya [83]

Answer:

Find below:

Step-by-step explanation:

To solve this, we either find the total cos5 of buying 40 bouquets at $2.50 or find the cost of one bouquet at $120.

Cost of one in pack of 40 at $120.

120 divided by 40 = $ 3

Now, we can see that $3>$2.50

This means that Kendra is wrong to buy the bouquet pack of 40 for $120

Hope this helps.

Good Luck

7 0

3 years ago

Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice

love history [14]

Answer:

B. 1.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' ft.

Since, the length and width of the canvas are 4 ft and 3 ft respectively.

Thus, area of the canvas, $A_{c}$ = length × breadth = 4 × 3 = 12 ft²

Since, the area of display model is twice the area of the canvas. We have,

$A_{d}$ = 2 × $A_{c}$

i.e. $A_{d}$ = 2 × 12

i.e. $A_{d}$ = 24 ft².

As, the length and width of the canvas are increased by 'x'.

The, length and width of the display model are (x+4) ft and (x+3) ft.

So, we get,

$A_{c}$ = length × breadth = (x+4) × (x+3) = $x^{2} +7x+12$

Since, $A_{d}$ = 24 ft²

i.e. $x^{2} +7x+12$ = 24

i.e. $x^{2} +7x-12=0$

Solving the quadratic equation, we get,

i.e. x = -8.4 and x= 1.4

Since, the value of x cannot be negative.

Thus, x = 1.4 feet.

4 0

3 years ago

Olga is putting a border around her triangular flower bed. She has 20 feet of border material, which will fit perfectly around t

spayn [35]

Answer:

60 feet

Step-by-step explanation:

We know that a triangle has 3 sides, in this case we will call them a, b and c.

It tells us that everything is material, it measures 20, that is:

a + b + c = 20

They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:

border material need = 3 * a + 3 * b + 3 * c

common factor 3:

border material need = 3 * (a + b + c)

border material need = 3 * 20

border material need = 60

Which means that she needs a total of 60 feet of material.

3 0

3 years ago

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