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LenaWriter [7]
4 years ago
5

Diana wants to decorate her floor with a shaggy pink rug. The area of the square feet. Which of the following could be the dimen

sions of the room, in feet?

Mathematics
1 answer:
mihalych1998 [28]4 years ago
8 0

Answer:

(2y+z) (y+3)

Step-by-step explanation:

Area of the room is 2y^2 + 6y + yz+ 3z

We apply grouping method

we group first two terms and last two terms

(2y^2 + 6y) + (yz+ 3z)

We take out GCf from each group

GCF of 2y^2 + 6y is 2y

GCF of yz + 3z is z

2y(y+ 3) + z(y+ 3)

Factor out y+3

(2y+z) (y+3)

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The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14
Fudgin [204]

The total monthly cost of the two companies will be the same for 30 texts.

<u>Step-by-step explanation:</u>

It is given that,

  • The variables used here are x and y.
  • y represent the total monthly cost.

we know that, x must represent the number of texts in a month.

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.

⇒ y = 11 + 0.25x   --------(1)

The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.

⇒ y = 14 + 0.15x  --------(2)

<u>To find the no.of texts for which the total monthly cost of the two companies be the same :</u>

⇒ Total cost of All Star Cell = Total cost of Top Line Cell

⇒ 11 + 0.25x = 14 + 0.15x

⇒ 0.25x - 0.15x = 14 - 11

⇒ 0.1x = 3

⇒ x = 3 / 0.1

⇒ x = 30 texts.

The total monthly cost of the two companies will be the same for 30 texts.

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