Answer:
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Step-by-step explanation:
By knowing that p and 2/3 are additive inverses, we will see that p = -2/3
So two numbers A and B are additive inverses if:
A + B = 0
Here the two numbers are p and 2/3, so we have:
2/3 + p = 0
Solving this for p gives:
p = -2/3
Then the value of p is just -2/3.
Now, I can't "drag and drop" the labels in the given image, so I will post a little graph of where each point should be:
If you want to learn more about additive inverses, you can read:
brainly.com/question/16681279
To whatttttttttttt free points?
Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.