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3 years ago

Please help with this

Mathematics

1 answer:

dalvyx [7]3 years ago

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There are 3 shapes present.

Triangle - 2
Circle - 4
Square - 2

Ratio of triangles to cirles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.

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In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was t

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The population of California = $2.52 \times 10^7$ people.

Land area of California = $4.05 \times 10^5km^2$ .

We have to determine the average number of people per square kilometer.

Average number of people per square kilometer =

Land area of California $\div$ Population of California

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= $1.6 \times 10^{-2}$

Therefore, the average number of people per square kilometer is $1.6 \times 10^{-2}$ .

It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

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2 years ago

What is the value of x in the equation 1/2x - 3/4 = 3/8 - 5/8

Kitty [74]

The answer

x = 1

step by step

$\frac{1}{2} x - \frac{3}{4} = \frac{3}{8} - \frac{5}{8} \\ \frac{1}{2} x = \frac{3}{8} - \frac{5}{8} + \frac{3}{4} \\ \frac{1}{2} x = \frac{3}{8} - \frac{5}{8} + \frac{6}{8} \\ \frac{1}{2}x = \frac{4}{8} \\ \frac{1}{2} x = \frac{1}{2} \\ x = 1$

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if 1/4 of a gallon of paint is needed to paint 2/3 of a fence, how many gallons are needed to paint the entire fence? site:socra

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$\bf \begin{array}{ccll} \stackrel{paint}{gallons}&fence\\ \cline{1-2} \\\frac{1}{4}&\frac{2}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{4}~~}{x}=\cfrac{~~\frac{2}{3}~~}{1}\implies \cfrac{~~\frac{1}{4}~~}{\frac{x}{1}}=\cfrac{2}{3}\implies \cfrac{1}{4}\cdot \cfrac{1}{x}=\cfrac{2}{3} \\\\\\ \cfrac{1}{4x}=\cfrac{2}{3}\implies 3=8x\implies \cfrac{3}{8}=x$

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