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ra1l [238]
2 years ago
12

Please help quickly !

Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer:

see below

Step-by-step explanation:

1/4x = -5/8

We want to isolate x

Multiply each side by the reciprocal of 1/4 to isolate x

Multiply each side by 4/1 or 4

4*1/4x = 4 * -5/8

x = -20/8

Simplify the improper fraction by first dividing by 4 on the top and bottom

x = -5/2

Change the improper fraction to a mixed number

x = -2 1/2

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3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
3 years ago
The opposite of which number is closest to -5?<br> A) -8 <br> B) -7 <br> C) -6 <br> D) 7
Rina8888 [55]

the answer is 7 because all of the other numbers opposites aren't negative

6 0
3 years ago
Read 2 more answers
If the map ratio of a map is 1:100000 and the distance between two
dsp73

Answer:

Given that,

Map scale = 1:100000

Map distance = 8cm

Therefore,

MD ÷ AD = 1 ÷ 100000

8 ÷ AD = 1 ÷ 100000

AD = 8 × 100000

AD = 800000

8 0
2 years ago
Christy works in a building that is 880 feet tall. She wants to know the height of the building in miles and write it in decimal
vovangra [49]

Answer: 0.166667 miles

Step-by-step explanation:

8 0
2 years ago
Graph the set of points. which model is most appropriate for the set? (-6, -1)(-3, 2)(-1,4)(2,7)
lianna [129]
For this case, the first thing to do is to graph the following ordered pairs:
 (-6, -1)
 (-3, 2)
 (-1,4)
 (2,7)
 We observe that the graph is a linear function with the following equation:
 y = x + 5
 Note: see attached image.
 Answer:
 
The function that best represents the ordered pairs is:
 
y = x + 5

5 0
3 years ago
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