150 miles on 4 gallons of gas. Rate and unit rate .

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

37.5 miles per gallon.

Step-by-step explanation:

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Julia wrote a linear equation in standard form as –6x – 3y = 10. Arthur noticed that the equation was not written in standard fo

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Answer:

Option A - $6x +3y = -10$ is the standard form of the equation.

Step-by-step explanation:

Given : Linear equation - $-6x -3y = 10$

To convert into the standard form.

Standard form of the equation is in form Ax+By=C

So to convert this equation into the standard form we have to multiply both side of the equation by -1, so that the value for A is positive.

After multiplying by -1 the form is

$-6x\times (-1) -3y\times(-1)= 10\times(-1)$

$6x +3y = -10$ is the standard form of the equation.

Therefore, Option A is correct.

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3 years ago

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the contrapositive of the following statement is true: if two angles are both right, then they are congruent. True or false

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False, because right angles are always going to be 90` while congruent angles are 110`

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4 years ago

Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that

frosja888 [35]

$\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)$

$(\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)$