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Gnom [1K]
3 years ago
7

A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of th

e path in feet, the number of colored tiles needed to make it is calculated using the rule (3xy)(7xy²), where y represents the number of white tiles.Which simplified expression represents the number of colored tiles used for a path of length x feet?
Mathematics
1 answer:
aleksley [76]3 years ago
7 0
The number of colored tiles needed to make it is calculated using the rule: (3xy)(7xy²) <span>where x is the length of the path in feet</span> y represents the number of white tiles

 

(3xy) (7xy^2)

<span>= 21(x^2)(y^3) is the simplified expression represents the number of colored tiles </span>

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3 years ago
1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
The line segment joining A(6, 3) to B(–1, –4) is doubled in length by having half its length added to each end. Find the coordin
mr Goodwill [35]

Answer:

  • (9.5, 6.5) and (-4.5, -7.5)

Step-by-step explanation:

Let the extended points be A' and B' and add the point M as midpoint of AB

<u>Coordinates of M are:</u>

  • ((6 - 1)/2, (3-4)/2) = (2.5, -0.5)

Now point A is midpoint of A'M and point B is midpoint of MB'

<u>Finding the coordinates using midpoint formula:</u>

  • A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
  • B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)

4 0
3 years ago
Please help me with this sum​
Maslowich

Answer:

6327

1827

2418

832

742

606

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5436

203 X 4=812

Step-by-step explanation:

4 0
2 years ago
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