4 years ago

A Mallard duck flies 5/6 of a mile in 1/60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

Mathematics

1 answer:

allsm [11]4 years ago

8 0

50 miles per hour hpe it helps

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What's the quotient of I? 5+5i divided by 2+I

sladkih [1.3K]

$if\ "i"\ is\ the\ imaginary\ unit:\sqrt{-1}=i\Rightarrow i^2=-1\\\\then\\\\\frac{5+5i}{2+i}=\frac{5+5i}{2+i}\cdot\frac{2-i}{2-i}=\frac{10-5i+10i+5i^2}{2^2-i^2}=\frac{10+5i-5}{4+1}=\frac{5+5i}{5}=\boxed{1+i}$

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3 years ago

In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua

ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.

Thus , the speed of conveyor belt is,

= $\frac{300}{5} = 60 cans per minute$

and of smaller belt is,

= $\frac{300}{9} = \frac{100}{3} cans per minute$

Thus, when both are used together,

conveyor belt will transport (60)(t) cans and smaller belt will transport $( \frac{100}{3})$ (t) cans per minute.

Thus the equation becomes,

$300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)$

t = $\frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes$

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3 years ago

6/15 as a reduced fraction and show how you reduced and got your answer. I need help

mixas84 [53]

Answer:2/5

Step-by-step explanation:

Divide by a number common to the numerator and denominator

Number is 3

It gives 2/5

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3 years ago

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Which sentence can represent the inequality 3. 5 x greater-than-or-equal-to 7? The sum of 3. 5 and a number is greater than 7. T

Anni [7]

Answer: The product of 3. 5 and a number is greater than or equal to 7.

Step-by-step explanation:

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3 years ago

In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.

zvonat [6]

Answer:

False

True

False

Step-by-step explanation:

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3 years ago

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