<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:
Step-by-step explanation:
To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.
Answer: 1/4
Step-by-step explanation:
First, we have to rearrange the given equation so that it results in a y=mx+b equation. To do this we can add -1/2x on both sides to remove it from the left side.
(+1/2x)-1/2x + 2y = 7(+1/2x)
2y = 1/2x +7
Now we can divide by 2 on both sides to isolate the y.
(2y)/2 = (1/2x +7)/2
y = 1/4x + 3.5
The slope is 1/4 :)
60 x 20/100 = 12..........................