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Fittoniya [83]
2 years ago
12

Dustin and Janelle sold packs of trading cards to earn extra money before summer break. They sold each box for $51 which include

d 6 packs of cards. Dustin sold n packs of trading cards, and Janelle sold 4 fewer packs than Dustin. They collected a combined total of $442. The following equation represents the given situation. 442 - How many packs of trading cards did Dustin sell? Dustin sold packs of trading cards.​
Mathematics
1 answer:
Grace [21]2 years ago
3 0

Answer:

Dustin sold 28 packs

Step-by-step explanation:

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The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are:  36 and 11 .
______________________________________________
5 0
3 years ago
Solve each inequality:
Talja [164]
It should be the answers if not sorry
Answer:
A) X<1
B) X>7
C)X<6
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6 0
3 years ago
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked withou
lawyer [7]

Answer: 3/8, 0.375, 37.5%

Step-by-step explanation:

Count the number of cards with odd numbers that are greater than 4. 5, 7, and 9 are odd numbers greater than 4. There are 3 cards with odd numbers greater than 4. Probability is found by dividing this by the total number of cards, 8. This gets you a fraction of 3/8.

6 0
2 years ago
Any1 know the answer to this need help ASAP
lukranit [14]

Answer:

D, -77 5/8

Step-by-step explanation:

6 3/4 = 27/4 = 6.75

6.75 x -11.5 = -77.625 or -77 5/8

6 0
3 years ago
Read 2 more answers
Please answer fast please
kvv77 [185]

Answer:

you can use a website called calculator soup the answer is -9/14 please mark me branlist

Step-by-step explanation:

4 0
4 years ago
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