A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...
... the number is a non-negative number less than 2. (0 ≤ n < 2)
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.
Answer:
<h2>x = 117°</h2>
Step-by-step explanation:
We know:
The sum of the quadrilateral angles measures 360°.
Therefore we have the equation:

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

From (1) and (2) we have:

Answer:
14 pints were drank
Step-by-step explanation:
22 pints - 8 pints =
Answer:
x=
y=5-
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=
x+y=5
+y=5
y=5-