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3 years ago

Which number is larger? 1/3 or .3 ? Explain why?

Mathematics

2 answers:

Vlada [557]3 years ago

7 0

Here is you're answer:

In order to solve this equation you need to convert 1/3 into a decimal and then compare to see which decimal is greater.

$\frac{1}{3}$
Convert into a decimal:
$3 \div 1 = .333...$
Now compare:
$.3 < .333...$

Therefore you're answer is "1/3 is greater."

Hope this helps!

ELEN [110]3 years ago

4 0

You first change 1/3 which is .333 then you compare .333 with .3 which the answer is .333

plz add me as brainiest If you do then thank you

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Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows

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Let C be the cost for the people staying

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3 years ago

F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?

Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

$l_{HF} = \sqrt{\left (4-7 \right )^{2}+\left (1-(-11) \right )^{2}} = \sqrt{\left (-3 \right )^{2}+\left (12 \right )^{2}} = 3\cdot \sqrt{17}$

Similarly, we check the length of HJ, to get;

$l_{HF} = \sqrt{\left (3-7 \right )^{2}+\left (5-(-11) \right )^{2}} = \sqrt{\left (-4 \right )^{2}+\left (16 \right )^{2}} = 4\cdot \sqrt{17}$

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0

3 years ago