Answer:
3
Step-by-step explanation:
4 1/2 + 3 1/3 + 2 + 2 1/6
= 4 3/6 + 3 2/6 + 2 + 2 1/6
= 4 + 3 + 2 + 2 + 3/6 + 2/6 + 1/6
= 11 + 6/6
= 11 + 1
= 12
There are 4 numbers, therefore average = 12 ÷ 4 = 3
ABCD is a square . if the coordinates of three of its vertices are A(-1,2a), B(a,2a), C(a,0), find the coordinates of D. BC is obviously 2a (it's a vertical line) then AB must be 2a (notice AB is horizontal) so BC = AC because it is a square 2a = a+1 a=1
Answer:
C
Step-by-step explanation:
We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.
3x+4y=8 Equation 1
2x+y=42 Equation 2
Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x
2(3x+4y=8)= 6x+8y=16 Equation 3
3(2x+y=42)= 6x+3y=126 Equation 4
Subtract equation 4 from 3, to eliminate x
6x-6x=0
8y-3y= 5y
16-126= -110
We now have 5y=-110
Divide both sides by 5,
y= -110/5
= -22
Substituting for y in equation 2
2x+(-22)= 42
2x= 42+22
2x=64
x= 64/2
= 32
(x, y)
(32, -22)
Answer:
She is given $205 and spends $57.
She earns $580 and spends $422.
She is given $38 and earns $42.
She earns $56 and is given $59.
Step-by-step explanation:
You just have to do the math.