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:
7.8-9.3n
Step-by-step explanation:
2.8-5.3n - 4n + 5
Combine like terms
2.8 +5 -5.3n -4n
7.8-9.3n
Answer:
I don't see how the three existing points could ever become a square with the addition of a foiurth point.
Step-by-step explanation:
See the attached image.
A square would require that all angles be 90 degrees. The given points are the top three points on the graph. If we enter the two equations that intersect these points (blue and black lines), we can see that the angle on top is not 90 degrees. I can't see that this could ever be a square with a fourth point, z. I did find a value for z that make the four points a parallelogram.
Answer:
perimeter = 45 in.
area = 123.5 in.^2
Step-by-step explanation:
I assume this is a rectangle.
L = 13 in.
W = 9.5 in.
perimeter = 2(L + W) = 2(13 in. + 9.5 in.) = 2(22.5 in.) = 45 in.
area = LW = 13 in. * 9.5 in. = 123.5 in.^2
Answer:
the motion of the object will stay the same
Step-by-step explanation:
