<span>Dennis has 30 plums and 42 apricots. He wants to put the fruit in bags so that each bag has the same number of like fruit.
To find equal number of the fruits in the bag = HCF of 30 & 42
= 6
Each bag contains 6 fruits, So number of bags are required = </span>
=
= 12 bags
<span>Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8
Bag 1 Contain 12 plums
Bag 2 Contains 12 </span>plums<span>
Bag 3 contains 6 </span>plums<span>
Bag 4 contains 8 </span>apricots
Bag 5 contains 8 apricots
Bag 6 contains 8 apricots
Bag 7 contains 8 apricots
Bag 8 contains 8 apricots
Bag 9 contains 2 apricots
Therefore,
9 bags are required.
Answer: [B]: "contains one point" .
_______________________________
Explanation:
__________________
Given:
__________________
x + y = 6 ;
x - y = 0 ;
_________________
To solve for "x" ;
Consider the first equation:
x + y = 6 ;
subtract "y" from each side of the equation ; to isolate "x" on one side of the equation; and to solve for "x" ;
x + y - y = 6 - y ;
x = 6 - y ;
________________
Take the second equation:
____________________
x - y = 0 ;
Solve for "x" ;
Add "y" to EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
x - y + y = 0 + y ;
________________________________
x = y
______________
x = 6 - y
Substitute "x" for "y" ;
x = 6 - x ;
Add "x" to Each side of the equation:
_______________________________
x + x = 6 - x + x ;
2x = 6 ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
2x/2 = 6/2 ;
x = 3 .
_______________
Now, since "x = 3" ; substitute "3" for "x" in both original equations; to see if we get the same value for "y" ;
_______________________________
x + y = 6 ;
x - y = 0
________________________________
Start with the first equation:
________________________________
x + y = 6 ;
3 + y = 6 ;
Subtract "3" from each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
3 + y - 3 = 6 - 3 ;
y = 3 .
________________________
Now, continue with the second equation; {Substitute "3" for "x" to see the value we get for "y"} ;
________________________
The second equation given is:
________________________
x - y = 0 ;
Substitute "3" for "x" to solve for "y" ;
3 - y = 0 ;
Subtract "3" from EACH side of the equation:
3 - y - 3 = 0 - 3 ;
-1y = -3 ;
Divide EACH side of the equation by "-1" ; to isolate "y" on one side of the equation; and to solve for "y" ;
-1y/-1 = -3/-1 ;
y = 3 .
________________________
So, for both equations, we have one value: x = 3, y = 3; or: write as:
"(3, 3)" ; { which is: "one single point" ; which is: Answer choice: [B] } .
__________________________________________________________
Answer:
$5.71
Step-by-step explanation:
40 divided by 7 equals 5.71428571, which should be rounded to 5.71.
Answer: figures 1 and 3 i think
Step-by-step explanation:
16/9=64/36 18/12 doesnt