How do you divide a Fraction with a whole number?

Mathematics

2 answers:

satela [25.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

12 becomes 21/1

change the division sign to a multiplication sign AND flip 3/4

your new equation becomes: 12/1 X 4/3

multiply and simplify!

Ahat [919]2 years ago

6 0

Answer:

I hope, you got this! and best of luck

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Randy wants to run half a marathon. Half a marathon is 13.1 miles. if she wants to run the race in 2 hours what rate(in minutes

IRINA_888 [86]

Answer:

9.16 minutes per mile

At 10 miles, she is short of her intended rate

Step-by-step explanation:

2 hours means 60 * 2 = 120 minutes

Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:

120/13.1 = 9.16 minutes per mile

Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:

90/10 = 9 min/mi

Well, Randy is short of her intended rate

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3 years ago

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The line integral of xydx×x^2y^3dy where c is the triangle with points (0,0) (1,0) (1,2) using green's theorem

lyudmila [28]

If $\mathcal C$ is the boundary of the triangle $D$ , then by Green's theorem

$\displaystyle\int_{\mathcal C}xy\,\mathrm dx+x^2y^3\,\mathrm dy=\iint_D\left(\frac{\partial(x^2y^3)}{\partial x}-\frac{\partial(xy)}{\partial y}\right)\,\mathrm dA$
$=\displaystyle\int_{x=0}^{x=1}\int_{y=0}^{y=2x}(2xy^3-x)\,\mathrm dy\,\mathrm dx$
$=\displaystyle\int_{x=0}^{x=1}x\int_{y=0}^{y=2x}(2y^3-1)\,\mathrm dy\,\mathrm dx$
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