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4 years ago

How do u work out what decimal is equal to 6/20

2 answers:

Studentka2010 [4]4 years ago

7 0

There are 3 ways(or more) of solving this..
The first way:
1) Since 20 is a multiple of 100, you multiply The numerator and denominator by 5: 6/20*5/5= 30/100
2) You should know 30/100 is 0.30 or 0.3
The second way:
1) Simplify 6/20 and you should get 3/10: 6/20 divided by 2/2= 3/10
2) You should know that 3/10 is 0.3
The third way:
1) Divide 6 and 20 and you should get 0.3
You could use whatever way you want or do whatever helps you best. Hope this helps :)

weeeeeb [17]4 years ago

5 0

Here's how you do it. You'll use this forever,
so you should memorize it:

A fraction is just a short way to write a division.
Whenever you see a fraction, it means

(the top number) divided by (the bottom number).

When you actually do the division, the quotient you get
is the decimal that's equal to the fraction.

To find the decimal equivalent of a fraction, divide
the top number by the bottom number.

(6) divided by (20) = 0.3 .

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An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i

Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = $\sqrt{(15-x)^2+1^2}$

The total time, 't', is given as follows;

$t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}$

The minimum value of 't' is found by differentiating with an online tool, as follows;

$\dfrac{dt}{dx} = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} = \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }$

At the maximum/minimum point, we have;

$\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0$

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

$t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89$

Therefore, the distance to run, x ≈ 14.96 mile

6 0

3 years ago

The sum of 10 and a product of 7 and a number

NeX [460]

The answer to your question, would be 7x + 10.

Hopefully this helps!

8 0

4 years ago

Which is greater -8 or -4

laila [671]

-4 is greater look at number line

4 0

4 years ago

Read 2 more answers

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

mash [69]

Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
$Area= \frac{5}{2} x\times2.8=7x$

Therefore, the volume of the prism is given by
$Volume=7x(2x+1)=14x^2+7x$