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3 years ago

Frank can mow lawns at a constant rate of 6/5 lawns per hour. what is the ratio of lawns to hours?

Mathematics

1 answer:

Igoryamba3 years ago

6 0

Answer:

6 : 5

Step-by-step explanation:

Rate = $\frac{6}{5}$

But Rate is also equal to number of lawns mowed in a certain amount of time.

Since ratio should always be in terms of simple whole numbers.

If 6/5 lawns are mowed in 1 hour, then,

6 lawns will be mowed in:

= $\frac{6 \times 1}{\frac{6}{5} }$

= 5 hours.

therefore, 6 laws will be mowed in 5 hours.

Ratio of lawns to hours in 6:5

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F(x)=x^3+6x^2+x^1/2 and g(x)+x^1/2 . find f(x) divided by g(x)

dolphi86 [110]

To solve this problem you must apply the proccedure shown below:

1. You have that $f(x)=x^{3}+6x^{2}+x^{\frac{1}{2}}$ and $g(x)=x^{\frac{1}{2}}$ , therefore, you must divide must fucntion, as following:

$\frac{f(x)}{g(x)}=\frac{x^{2}+6x^{2}+x^{\frac{1}{2}}}{x^{\frac{1}{2}}}$

2. You must simplify it,by factoring out $x^{\frac{1}{2}}$ , as following:

$\frac{f(x)}{g(x)}=\frac{x^{\frac{1}{2}}( x^{\frac{5}{2}}+6x^{\frac{3}{2}}+1)}{x^{\frac{1}{2}}}$

3. Finally, you obtain that the answer is:

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Now use the law of sines:

sin(90)/x = sin(63)/6.3

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2 years ago

The axis of symmetry of a parabola is x = 6, and one point on the parabola is (2,8). What is the mirror point for the point (2,8

seraphim [82]

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Step-by-step explanation:

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3 years ago