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1 year ago

Solve for x :

Mathematics

1 answer:

sammy [17]1 year ago

5 0

Answer:

x = 1

Step-by-step explanation:

Step 1: Combine like terms.

$(29x + x) = (30)$
$30x=30$

Step 2: Divide both sides by 30.

$30x/30=30/30$
$x=1$

Step 3: Check if solution is correct.

$29(1)+(1)=30$
$29+1=30$
$30=30$

Therefore, x = 1.

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2 years ago

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2 years ago

A stereo system is being installed in a room with a rectangular floor measuring 13 feet by 11 feet and a 7-foot ceiling. The st

zhuklara [117]

Answer:

about 22.2 feet

Step-by-step explanation:

The wire can run diagonally across the floor and, from the intersection with the wall, diagonally up the wall. The total length is computed per the hint to be ...

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Comment on the attachment

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2 years ago

A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?

kondor19780726 [428]

A rectangle has a perimeter of 44 inches and an area of 72 square inches.
Perimeter = 44 inches, area = 72 square inches.
Let the length and breadth be l and b respectively.
We know, perimeter of a rectangle = 2(l + b)
Therefore,
2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

We know, area of a rectangle = lb
Therefore,
lb = 72
Putting (i) in b, we get
l(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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2 years ago

Answer part a and b please and explain thx

Veseljchak [2.6K]

Part A: the area of a rectangle is A= lw, so

A= lw

Height= 6x+3.= 9x

Width= 8

Which makes the expression to this area 9x x 8 ( 9x times 8 )

Part B: you do the same to get the expression here, so the expression would be

6x x 12 ( 6x times 12 )

The answer to this part is yes because both end up being 72x once you get the answer of each.

5 0

2 years ago