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alisha [4.7K]
2 years ago
6

Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he star

ted?
Mathematics
1 answer:
Tanzania [10]2 years ago
7 0
4 steps more north from where he started
I think
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The current (I) varies directly as the voltage (V) in an electric circuit. If the current is 4 amperes when the voltage is 100 v
Margarita [4]
\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{l varies directly to V}\implies l=kV
\\\\\\
\textit{now, we also know that }
\begin{cases}
l=4\\
V=100
\end{cases}\implies 4=k100
\\\\\\
\cfrac{4}{100}=k\implies \cfrac{1}{25}=k\impliedby \textit{constant of variation}
\\\\\\
thus\implies l=\cfrac{1}{25}V
\\\\\\
\textit{what is the current when the voltage is 75?}\qquad l=\cfrac{1}{25}\cdot 75
6 0
3 years ago
The system of equations is graphed in the figure.
Scilla [17]

Answer:  The correct answer is:  [C]:

___________________________________________

              →    " ( 3, -2) " .

___________________________________________

Explanation:

___________________________________________

By looking at the graph {provided) of the lines of the 2 (two) equations given, we see that the two (2) lines intersect at the point at which the coordinates are:   " (3, -2)" ;  that is:  where:  " x = 3;  y = - 2 " ;  (refer to "image attached");

  →  which corresponds to:

 

  →  Answer choice:  [C]: " (3, -2) " .

___________________________________________

Let us check our answer, by plugging in "3" for "x" ; and "-2" for "y" ;

  in Each of the 2 (two) equations given; to see if the equations hold true:

_____________________________________

Equation 1:

_____________________________________

  y = (-5/3)x  + 3  ;

 →  -2  =? (-5/3)*3  + 3 ?  

 →  -2  =?  -5  + 3 ? ;    -2 =? -2 ?  Yes!

_____________________________________

Equation 2:

_____________________________________

 y = (1/3)x -3 ;

→  -2 =? (1/3)*3  - 3 ? ;

→  -2 =?  1 - 3 ?  ;    -2 = ? -2 ?  Yes!

_____________________________________

Both equations hold true when:  "x = 3 ;  and y = -2 " .

_____________________________________

Refer to image attached to see where the lines of the graphs of the equations given intersect.

_____________________________________

Hope this answer is helpful to you!

  WIshing you the best!

_____________________________________

3 0
3 years ago
Olve these story problems.
Tasya [4]

Step-by-step explanation:

Simple

Speed of 1 hour = 51 miles

Total miles = 459

459 ÷ 51 = 9

It will take 9 hours for him to reach his destination

3 0
3 years ago
The Bangor Coat Factory found that the number of coats sold N varies directly as their advertising budget A and inversely as the
asambeis [7]
<span>The answer is 25,200.
This can be solved by using proportion.
Set up the proportion as follows:
 (10,800/30,000)=(x)/(70,000)
By cross multiplying you get:
 (30,000)(x)=(70,000)(10,800)
               x=[(70,000)(10,800)]/30,000
               x=25,200 coats</span>
8 0
3 years ago
What percent is 24 of 96
Agata [3.3K]
To find what percent 24 is of 96, we simply divide 24 by 96 giving us .25
However, we are not finished yet as this is not in a percentage form. to do this we will move the decimal place two places to the right, giving us 25%
3 0
3 years ago
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