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jeka94
3 years ago
13

Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate

in miles per hour?
Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
3/8 mile in 3/5 hour
\frac{ \frac{3}{8} }{ \frac{3}{5} }
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
\frac{ \frac{5}{3} }{ \frac{5}{3} } to get

\frac{ \frac{15}{24} }{ \frac{15}{15} }=
\frac{ \frac{5}{8} }{ 1}=5/8 miles per hour


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Please help! Thank you!
KIM [24]
The correct answer is:  [B]:  " (2, 5) ".
__________________________________________
Given:
__________________________________________
  -5x + y = -5 ;
  -4x + 2y = 2 .
___________________________________________
  Consider the first equation:
___________________________
-5x + y = -5 ;  ↔ y + (-5x) = -5 ;

↔ y - 5x = -5 ;  Add "5x" to each side of the equation; to isolate "y" on one side of the equation; and to solve in terms of "y".
_____________________________________________
   y - 5x + 5x = -5 + 5x  

   y = -5 + 5x ;  ↔ y = 5x - 5 ;
____________________________________________
 Now, take our second equation:
______________________________
     -4x + 2y = 2 ; and plug in "(5x - 5)" for "y" ;  and solve for "x" :
_____________________________________________________
         -4x + 2(5x - 5) = 2 ; 
______________________________________________________
Note, 2(5x - 5) = 2(5x) - 2(5)  = 10x - 10 ;
__________________________________________
So:   -4x + 10x - 10 = 2 ;

On the left-hand side of the equation, combine the "like terms" ;

-4x +10x = 6x ;  and rewrite:

6x - 10 = 2  ;

Now, add "10" to each side of the equation:

6x - 10 + 10 = 2 + 10 ;

to get:

           6x = 12 ;  Now, divide EACH side of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ; 

           6x/6 = 12 / 6 ;
 
                 x = 2 ;
_________________________________
Now, take our first given equation; and plug our solved value for "x" ; which is "2" ; and solve for "y" ;
_____________________________________
-5x + y = -5  ;

-5(2) + y = -5 ;

-10 + y = -5 ;  ↔
                              y - 10 = -5  ;

Add "10" to each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
     
         y - 10 + 10 = -5 + 10 ;

                   y = 5 .
_____________________________
So, we have, x = 2 ; and y = 5 .
____________________________
Now, let us check our work by plugging in "2" for "x" and "5" for "y" in BOTH the original first and second equations:
______________________________
first equation: 

-5x + y = -5 ;

-5(2) + 5 =? -5?

-10 + 5 =? -5 ? YES!
______________________
second equation:

-4x + 2y = 2 ;

-4(2) + 2(5) =? 2 ?

-8 + 10 =? 2 ?  Yes!
_______________________________________________________
So, the answer is: 
___________________________________________________________
          x = 2 , y = 5 ; or, "(2, 5)" ;  which is: "Answer choice: [B] " .
___________________________________________________________



3 0
3 years ago
Please help me with this math question and thank you to those who can and will help me.
Roman55 [17]

Answer: B plz mark me bralny

Step-by-step explanation:

3 0
3 years ago
2/3 a -1/6=1/3 <br> Solve the equation
Taya2010 [7]

Step-by-step explanation:

a=3/4

3 0
3 years ago
Which function has an inverse that is a function?
nalin [4]
C is the answer !!!!!!!!!
3 0
3 years ago
The diameter of a circle is 2 meters. What is the area?<br> Exact answer in simplest form
kow [346]

Answer:

22/7

Step-by-step explanation:

Diameter is 2m

we know,

radius= Diameter/2

r = d/2

r = 2/2

r = 1

Now,

area of circle= πr^2

22/7 * 1^2

22/7 ....... answer

7 0
2 years ago
Read 2 more answers
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