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ss7ja [257]
3 years ago
15

Express 20cm as a percentage of 3m. give your answer as a mixed number

Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0

Answer:

6\frac{2}{3} %

Step-by-step explanation:

<em>First, convert 3 meters into centimeters.</em>

1m = 100cm

3m = 100 × 3 = 300cm

<em>Now, form the fraction by putting the given value, 20cm, over the total measurement, 300cm.</em>

\frac{20}{300} = \frac{2}{30} = \frac{1}{15}  ⇒ <em>Simplify your fraction to its simplest terms.</em>

<em>Next, multiply your simplified fraction by 100 to get your percentage.</em>

\frac{1}{15} × 100 = \frac{100}{15} = 6\frac{10}{15} = 6\frac{2}{3} %   ⇒ <em>Simplify your percentage to its simplest terms.</em>

<em>Hope this helped! I would really appreciate it if you would please mark me brainliest!</em>

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Line l passes through point (3,−26) and line p is the graph of y−3=−5(x−2) .
uranmaximum [27]

Considering the definition of parallel line, the equation of line l is y= -5x -11.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Parallel line</h3>

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

<h3>Equation of parallel line in this case</h3>

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

<u><em>y=  -5x +13</em></u>

where:

  • the slope is -5.
  • the y-intercept is 13.

Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

-26= -5× 3 + b

-26= -15 + b

-26 + 15 = b

<u><em>-11 = b</em></u>

Finally, the equation of parallel line is y= -5x -11.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

3 0
1 year ago
Write the following numbers used in these statements in scientific notation. (Note: Some of these numbers have been rounded.)
lutik1710 [3]

Answer:

So in scientific form 4000 miles will be equal to 4\times 10^3miles

Step-by-step explanation:

We have given that radius of earth is 4000 miles

4000 miles can be written as 4×1000

We have to written 4000 miles in scientific form

We know that 1000 can be written in scientific form as 1000=10^3

So 4000miles =4\times 1000=4\times 10^3miles

So in scientific form 4000 miles will be equal to 4\times 10^3miles

5 0
2 years ago
A study is being conducted on the amount of gasoline purchased on an average day in town. A random variable is used to identify
nordsb [41]

Answer:

4.It is continuous because the number of gallons can take on any value over a range of values.

Step-by-step explanation:

Discrete variables are ones that are disconnected.  This means they take only specific values, with no values inbetween.

Continuous variables are ones that can take any value in a given range.

When measuring the gallons of gas, we can have partial gallons of gas; this means the variable can take any value in a given range, so it is continuous.

6 0
2 years ago
Read 2 more answers
I will give brainiest to whoever answers correctly !!
anyanavicka [17]

Answer:

11.95 - 7.95 = 4

4/7.95 = 0.50314465

0.50314465 X 100= 50.314465

50% rounded to 1dp

6 0
3 years ago
If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).​
joja [24]

Answer:

8x+8

Step-by-step explanation:

(f.g)(x)= (f)(g)

(f.g)(x)=(4.2)(x+1)

(f.g)(x)=(8)(x+1)

(f.g)(x) =8x+8

7 0
3 years ago
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