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sesenic [268]
3 years ago
11

red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total

of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

Y= 357 tiles

X= 68 tiles

Step-by-step explanation:

red and blue ceramic tiles are laid according to a pattern.

The pattern= every 21 red tiles used, 4 blue tiles are used

Total number of tiles used = 425 tiles

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

21x= 4y

X= 4y/21

X+y= 425

4y/21 + y = 425

25y= 425(21)

Y=( 425*21)/25

Y= 357 tiles

X= 4y/21

X= (4*357)/21

X= 1428/21

X= 68 tiles

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CaHeK987 [17]

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4 0
3 years ago
A is a 4x4 matrix and A^2 + 4A - 5I = 0. If det(A+2I)>0, enter det(A+2I)
maw [93]
\mathbf A^2+4\mathbf A-5\mathbf I=0
\implies\mathbf A^2+4\mathbf A+4\mathbf I=(\mathbf A+2\mathbf I)^2=9\mathbf I
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\implies\det(\mathbf A+2\mathbf I)^2=9^4\det\mathbf I
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5 0
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Anni [7]

Answer:

4 would be 36

Step-by-step explanation:

PEMDAS! <3

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