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sineoko [7]
3 years ago
11

What's the difference in terminating or repeating a decimal

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0
A repeating decimal is when the number repeat or go on forever and do not change
a terminating decimal is one that has an end to it's numbers

example of repeating: .303030303030303.....
example of terminating: .2427
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When the width of a rectangle with a length of 3/5 foot was decreased by 1/3 foot, the area of the rectangle became 7/25. Find t
insens350 [35]

Answer:

\large\boxed{\text{The original width}\ =\dfrac{4}{5}\ ft}

Step-by-step explanation:

\text{The dimensions of rectangle:}\ \dfrac{3}{5}\times w.\\\\\text{The dimensions of new rectangel:}\ \dfrac{3}{5}\times\left(w-\dfrac{1}{3}\right)\\\\\text{The area of the new rectangle:}\ A=\dfrac{7}{25}\ ft^2\\\\\text{We have the equation:}\\\\\dfrac{3}{5}\left(w-\dfrac{1}{3}\right)=\dfrac{7}{25}\qquad\text{multiply both sides by 25}\\\\25\!\!\!\!\!\diagup^5\cdot\dfrac{3}{5\!\!\!\!\diagup_1}\left(w-\dfrac{1}{3}\right)=25\!\!\!\!\!\diagup^1\cdot\dfrac{7}{25\!\!\!\!\!\diagup_1}

15\left(w-\dfrac{1}{3}\right)=7\qquad\text{use the distributive property}\\\\15w-15\!\!\!\!\!\diagup^5\cdot\dfrac{1}{3\!\!\!\!\diagup_1}=7\\\\15w-5=7\qquad\text{add 5 to both sides}\\\\15w=12\qquad\text{divide both sides by 15}\\\\w=\dfrac{12:3}{15:3}\\\\w=\dfrac{4}{5}

5 0
3 years ago
2. The length of XZ is 28 units. If XY = 2x + 2 and YZ = 9x – 7, what are the lengths of XY and
Novosadov [1.4K]

Answer:

XY = 8 and YZ = 20

Step-by-step explanation:

If XY and YZ are on the one line, we can write

XY + YZ = 28

(2x+2) + (9x - 7) = 28

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11x = 33

x = 3

XY = 2x+2 = 2*3 + 2 = 8

YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20

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Answer:

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Step-by-step explanation:

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