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larisa86 [58]
3 years ago
14

A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The

expression below represents the area of the floor of the building in square meters:
(3x + 5)(5x − 1)

Which of the following simplified expressions represents the area of the floor of the library building in square meters?

28x − 5
15x2 − 5
15x2 + 28x − 5
15x2 + 22x − 5
Mathematics
2 answers:
malfutka [58]3 years ago
5 0
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

(3x+5)(5x-1)

Front ⇒(3x)(5x)=15 x^{2}
Outside ⇒(3x)(-1)=-3x
Inside ⇒(5)(5x)=25x
Last ⇒(5)(-1)=-5

Put the four terms together we have
15 x^{2} -3x+25x-5, then collect like terms
15 x^{2} +22x-5
lorasvet [3.4K]3 years ago
4 0

Answer:

15 x^{2} +22x-5

Is the answer:)

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Step-by-step explanation:

10

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1 year ago
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The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship betwe
stellarik [79]

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

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Now double both the width and the Length.

New Length = 2*5 = 10

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Area = 60

Answer (look at the choices)

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C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

8 0
2 years ago
How to find the perimeter of a square one side is 10x other side is 6x+8?
Yanka [14]
To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
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32x + 16 = P

you have to find x to get the actual perimeter. Since the shape is a square, all 4 sides are equal, so you can set 10x and (6x + 8) as equal to each other.
10x = 6x + 8
4x = 8
x = 2

Now you just plug in x and finish the rest of the problem, and you have the answer:
32(2) + 16 = P
64 + 16 = P
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(if you find this helpful, marking this as the brainliest answer would make my day :)
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3 years ago
How do i round 15,677 to the nearest ten thousand
kap26 [50]
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