Answer:
p equals 7
Step-by-step explanation:
6p + 6 = 13 + 5p
you subtract 6 from 13 and 5p from 6p
p = 7
Answer:
D) (-5, 0)
Step-by-step explanation:
±1/2. The equation 
has two possible solutions +1/2 and -1/2.
The problem is a quadratic equations and it can be solved using the equation 
.
Ordering the quadratic equation given in the problem, we obtain 
where a = 4, b = 0, and c = -1
Substituting the values
Answer:
1 kg of 30% gold and 3 kg of 10% gold
Step-by-step explanation:
Let us take "x" kg of 30% gold, and
"y" kg of 10% gold
We need to make 4 kg of 15% gold, that would be:
4(15%) = 4 (15/100) = 4(0.15) = 0.6kg
We can now write an equation as:
30%x + 10%y = 4(0.15)
0.3x + 0.1y = 0.6 <u>(equation 1)</u>
Also, we know there will be 4 kg from "x" and "y", so we can write:
x + y = 4
or x = 4 - y
We substitute this into equation 1 and solve for y first:
0.3x + 0.1y = 0.6
0.3(4 - y) + 0.1y = 0.6
1.2 - 0.3y + 0.1y = 0.6
0.2y = 0.6
y = 3
And x = 4 - y, x = 4 - 3 = 1
So,
1 kg of 30% gold and 3 kg of 10% gold
