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3 years ago

What is the difference between 85.23 and 2.675

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

Answer:

82.555

Step-by-step explanation:

Based on the given conditions, formulate:

85.23 - 2.675

Calculate the sum or difference: 82.555

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What are the coordinates of the point on the directed line segment from (1, -5)(1,−5) to (10, 1)(10,1) that partitions the segme

Hitman42 [59]

Check the picture below.

$\textit{internal division of a line segment using ratios} \\\\\\ A(1,-5)\qquad B(10,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(1,-5)=1(10,1)$

$(\stackrel{x}{5}~~,~~ \stackrel{y}{-25})=(\stackrel{x}{10}~~,~~ \stackrel{y}{1})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{5+10}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-25+1}}{1+5} \right)} \\\\\\ C=\left( \cfrac{15}{6}~~,~~\cfrac{-24}{6} \right)\implies C=\left(\cfrac{5}{2}~~,~~-4 \right)$

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3 years ago

Please help with this 1 question! -3-||

Naily [24]

<h3><u>Explanation</u></h3>

Get rid of the denominator by multiplying the whole equation with 100x.

$\frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000$

Solve the equation for x-term.

$x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400$

Answer Check

Substitute x = 400 in the equation.

$\frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5}$

The equation is true for x = 400. Therefore the answer for equation is x = 400.

<h3><u>Answer</u></h3>

<u> $\large\boxed{x = 400}$ </u>

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