Sheila walks 3 miles in 9/10 of an hour. How fast does she walk per hour?

Mathematics

1 answer:

scoundrel [369]2 years ago

7 0

Answer:

1 hours = 60 min

60 x 9/10 = 54 min

3 divided by 54 = 1/18

so she walks 1/18 miles per hour.

Im not sure though. It might be 3 divided by 9/10 = 3 1/3. I’m not that confident in my answer. But it is definitely one of them, either 1/18 or 3 1/3.

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Please tell me the answers and how you got them step by step

kupik [55]

Keep in mind we'll convert the mixed fractions to "improper" and then proceed, also keep in mind that minus times minus is plus,

$\bf -5-\cfrac{5}{3}\impliedby \stackrel{LCD}{3}\implies \cfrac{(-5\cdot 3)-(5\cdot 1)}{3}\implies \cfrac{-15-5}{3}\implies \cfrac{-20}{3}
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{-6\frac{2}{3}}\\\\
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-1\frac{1}{3}-1\frac{2}{3}\implies -\cfrac{1\cdot 3+1}{3}-\cfrac{1\cdot 3+2}{3}\implies -\cfrac{4}{3}-\cfrac{5}{3}$

$\bf \stackrel{LCD}{3}\implies \cfrac{-4-5}{3}\implies \cfrac{-9}{3}\implies -3\\\\
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-\cfrac{1}{2}-\left(-\cfrac{5}{9} \right)\implies -\cfrac{1}{2}+\cfrac{5}{9}\impliedby \stackrel{LCD}{18}\implies \cfrac{(-1\cdot 9)+(5\cdot 2)}{18}
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\cfrac{-9+10}{18}\implies \cfrac{1}{18}$

7 0

3 years ago

Write the equation of the circle with the given center and radius: (h,k)= (-4,6), r=7

mina [271]

Step-by-step explanation:

Equation of a circle in standard form is given as:

$(x - h)^{2} + (y - k)^{2} = {r}^{2} \\ \\ \therefore \{x -( - 4) \}^{2} + (y - 6)^{2} = {7}^{2} \\ \\ \red{ \boxed{ \bold{\therefore (x + 4)^{2} + (y - 6)^{2} = 49}}} \\ is \: the \: required \: equation \: of \: circle.$