If x and y vary directly, and x 60 when y= 5, what is the value of y when x =36?

Mathematics

1 answer:

defon3 years ago

4 0

Answer:

-19

Step-by-step explanation:

36 is 24 less than 60 so that means they subtracted to get 36 so subtract 24 from five and boom -19

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Help me with this please anyone x

Murrr4er [49]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{k }}x
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{we know that }\qquad 
\begin{cases}
y=42\\
x=6
\end{cases}\implies 42=k6\implies \cfrac{42}{6}=k
\\\\\\
7=k\impliedby \textit{constant of variation}
\\\\\\
thus\qquad \qquad y=7x
\\\\\\
\textit{what is "y" when x=5?}\qquad y=7(5)\impliedby \textit{solve for "y"}
\\\\\\
\textit{what is "x" when y=28?}\qquad 28=7x\impliedby \textit{solve for "x"}$

6 0

4 years ago

Compute a value for y that satisfies the equation below. <br><br> -3y - 12 = -4

lesantik [10]

First, add 12 to both sides of the equation,
-3y - 12 + 12 = -4 + 12
-3y = 8
Then, divide both the left hand and right hand sides of the equation by -3
(-3y) / -3 = 8/-3
The value of y is therefore,
y = -8/3

5 0

4 years ago

As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$