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Naya [18.7K]
3 years ago
12

The perimeter of a rectangle is 96 ft. The width is three times a number and the length is eight more than five

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

Hence, the number is 5

Width=15 ft

Length=33 ft

Step-by-step explanation:

Let the number be x

Hence,

Width= 3x

Length = 8+5x

As we know that perimeter of a rectangle = 2( Length + Width)

Hence,

2(3x + 8 + 5x) = 96  \\ 2(8x + 8) = 96 \\ 8x + 8 = 48 \\ 8(x + 1) = 48 \\ x + 1 = 6 \\ x = 5

Hence,

Width=15 ft

Length= 33 ft

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Are the two expressions equivalent when x = 5? 24x + 18 and 6 (4x + 2)
patriot [66]

Answer:

Nope-

Step-by-step explanation:

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3 0
3 years ago
Drag numbers to the table so it shows a proportional relationship between x and y.
dezoksy [38]

Answer:

7.5         30

45         180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5          30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45         180

Answer:

7.5         30

45         180

8 0
3 years ago
9
____ [38]

Answer:

y = 5x+3

Step-by-step explanation:

a general line is represented by the equation:

y = mx + n

a line with m=5, that goes through (-1,-2), should satisfy the equation:

-2 = 5×(-1) + n

this is because any point on the line, satisfies it's equation.

from this we get n = 3, hence our answer

4 0
2 years ago
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Vladimir [108]

Answer:

\sqrt{37}

or 6.08276253

4 0
4 years ago
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