Mathematics, 28.06.2019 01:30 lavontaebreazeovw645

Adam drove his car 132 km and used 11 liters of fuel. how many kilometers will he cover with 14 liters of fuel?

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Answer from: rydersasser12

Adam can cover $\boxed{{\mathbf{168 km}}}$ with $14{\text{ liters}}$ of fuel.

Further explanation:

The direct relationship is the relationship between two quantities in which one quantity decreases then the other quantity also decreases and vice versa. The examples are supply function and speed distance function.

The direct relationship of the variables $a{\text{ and }}b$ as

$\frac{{{a_1}}}{{{a_2}}}=\frac{{{b_1}}}{{{b_2}}}$ ......(1)

Here, ${a_1},{a_2}$ are the quantities of the variable and ${b_1},{b_2}$ are the quantities of the variable

Given:

Adam covered the distance $132{\text{km}}$ by car with 11 liters of fuel.

Step by step explanation:

Step 1:

The provided data can be written in the table form as,

It can be seen that data is direct relationship.

Here, ${a_1}=132,{a_2}=a,{b_1}=11{\text{ and }}{{\text{b}}_2}=14$

Step 2:

Now put the values ${a_1}=132,{a_2}=a,{b_1}=11{\text{ and }}{{\text{b}}_2}=14$ in equation (1) to get the value of .

$\begin{gathered}\frac{{{a_1}}}{{{a_2}}}=\frac{{{b_1}}}{{{b_2}}}\hfill\\\frac{{132}}{a}=\frac{{11}}{{14}}\hfill\\\end{gathered}$

Now calculate the further equation by the cross multiplication method.

$\begin{aligned}\frac{{132}}{a}&=\frac{{11}}{{14}}\\132\times14&=11a\\1848&=11a\\a&=168\\\end{aligned}$

Thus, Adam can cover $168{\text{ km}}$ distance with $14{\text{ liters}}$ of fuel.

Learn more:

Learn more about the distance between two points on the number line Learn more about the distance between two coordinates of the line Learn more about what is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to –2 all real numbers greater than or equal to –3

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Comparing quantities

Keywords: Adam, car, fuel, distance, direct relationship, speed, positive relationship, increase, decrease, equation, cross multiplication method, variables, quantity, substitute.

Adam drove his car 132 km and used 11 liters of fuel. how many kilometers will he cover with 14 lite

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

the solution is x=1

step-by-step explanation:

we are given our equation as

$log_3(x)=(x)$

let's assume

left side function is

$f(x)=log_3(x)$

right side function is

$g(x)=(x)$

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

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