Mathematics High School

Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.

Answers

Answer 1

Answer: 30%

Step-by-step explanation:

Method 1:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, the denominator should be equal to 100 (since percent is per 100)

Multiply the top and bottom by 10

[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]

Since the numerator is 30, 3/10 as a percent is 30%

Method 2:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)

0.3

10 | 3 0

-30

-------------

You get 0.3

Now multiply the decimal by 100

0.3 * 100 = 30

30%

Method 3:

The original fraction is [tex]\frac{3}{10}[/tex]

[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]

cross-multiply to solve the equation

30%

Related Questions

On two separate occasions, Mr. Johnson needed some electrical work done on his house. He called an electrician from Electrical Outlet in town. The electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. Let be the number of hours the electrician works in a single visit, and let be the total amount, in dollars, that the electrician charged for the visit. A. Create the equation that relates the total cost to the time worked. [4 pts] Note: This will be a linear relationship, so start by finding the slope of the line based on the given information. Express the final equation in = + form.

Answers

Answer:

y = 42x + 75

Step-by-step explanation:

Using the equation of a line in the form

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line

Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.

Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243

We find the slope of the line, m

m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42

Since m = (y - y₁)/(x - x₁) ,

42 = (y - 180)/(x - 2.5)

cross-multiplying, we have

42(x - 2.5) = (y - 180)

expanding the bracket, we have

42x - 105 = y - 180

adding 180 to both sides, we have

42x - 105 + 180 = y - 180 + 180

42x + 75 = y

y = 42x + 75

The linear equation that relates the total cost to the time worked is:

[tex]y = 42x + 75[/tex]

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the function has two points: (2.5, 180) and (4, 243).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{243 - 180}{4 - 2.5} = 42[/tex]

Then:

[tex]y = 42x + b[/tex]

Considering point (2.5, 180), we have that when x = 2.5, y = 180, which is used to find b.

[tex]y = 42x + b[/tex]

[tex]180 = 42(2.5) + b[/tex]

[tex]b = 75[/tex]

Hence, the function is:

[tex]y = 42x + 75[/tex]

More can be learned about linear equations at https://brainly.com/question/24808124

can someone please help me to do this?