Answer: after 5 months
Step-by-step explanation:
Let x be the number of months it takes for Dalia to have more gems than Grace.
We can set up an inequality; the left side representing Dalia and the right side representing Grace
20x > 120-10x
We can add 10x to both sides:
30x > 120
We can divide both sides by 30:
x > 4
Therefore, after 5 months Dalia will have more gems than Grace.
Answer:
The area of a triangle can be found using:
a=1/2 bh
or
a=(bh)/2
where b is the base and h is the height
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 34 times first equation from second equation,

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
a = 100
b = 5
Step-by-step explanation:
Just plug this into the equation it shows:
R(1) = (500 + (100)(1)) (50 - (5)(1))
Answer:
2x -7
2x 4x² -14x
-1 -2x +7
Step-by-step explanation:
4x²-16x+7 factors as
(2x-7)(2x-1)
So the grid would be:
2x -7
2x 4x² -14x
-1 -2x +7