Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Answer:

Step-by-step explanation:


Subtract 9 from both sides:


Add 6x to both sides:


Divide both sides by -4:


The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.
Answer:
27.73 cm
1. Find the area of the rectangle: 8x7=56 cm
2. Find the area of the circle: pi x 3 squared= 28.2743338....cm
3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm
4. Round to the nearest hundredth: 27.73 cm
The graph of the function is a straight line passing through points (0, -175) and points (25, 0)