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Roman55 [17]
3 years ago
13

Volume of a rectangular prism.. PLEASE HELP

Mathematics
1 answer:
kondaur [170]3 years ago
7 0
\text {Volume = } \dfrac{5}{2x + 8}   \times  \dfrac{x+4}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Take out (x + 4) as a common factor :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2(x + 4)}   \times  \dfrac{x+4}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Cross out (x + 4) :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{1}{4}  \times  \dfrac{12}{x}

---------------------------------------------------
Rewrite 12 as 4 x 3 :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{1}{4}  \times  \dfrac{4 \times 3}{x}

---------------------------------------------------
Cross out 4 :
---------------------------------------------------
\text {Volume = } \dfrac{5}{2}   \times  \dfrac{ 3}{x}

---------------------------------------------------
Combine into single fraction:
---------------------------------------------------
\text {Volume = } \dfrac{15}{2x}
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Answer:

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Step-by-step explanation:

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Answer:

1

Step-by-step explanation:

Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.

The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.

The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19

The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19

The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is

P(apple or peach or orange) =  P(apple) + P(peach) + P(orange)

                                               = 5/19 + 9/19 + 5/19

                                               = (5 + 9 + 5)/19

                                               = 19/19

                                               = 1

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