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Ainat [17]
2 years ago
5

Two-thirds + five-eighths = a)7/11 b)7/24 c)24/24 or 1 d)31/24 or 1 7/24

Mathematics
2 answers:
Wittaler [7]2 years ago
6 0

Answer:

31/24 or 1 7/24

Step-by-step explanation:

Dvinal [7]2 years ago
3 0

Answer:

D) \frac{31}{24} or 1\frac{7}{24}

Step-by-step explanation:

Step 1: Convert to numeral form

\frac{2}{3}+\frac{5}{8}

Step 2: Find a common denominator (multiply denominators then cross-multiply)

\frac{16}{24}+\frac{15}{24}

Step 3: Add numerators (and leave denominators the same)

\frac{31}{24} or 1\frac{7}{24}

Hope this helped you!

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The area of a room is 425 square feet. The length is (x+10) and the width is (x+2) feet. Find the dimensions of the room.
podryga [215]

Answer:

length = 25 feet and width = 17 feet

Step-by-step explanation:

area (A ) = length × width, hence

A = (x + 10)(x + 2) ← expand factors

  = x² + 12x + 20

given A = 425, then

x² + 12x + 20 = 425 ( subtract 425 from both sides )

x² + 12x - 405 = 0 ← in standard form

(x + 27)(x - 15) = 0 ← in factored form

equate each factor to zero and solve for x

x + 27 = 0 ⇒ x = - 27

x - 15 = 0 ⇒ x = 15

but x > 0 ⇒ x = 15, therefore

length = 15 + 10 = 25 feet and width = 15 + 2 = 17 feet


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3 years ago
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swat32

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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