See the picture below and see if you can follow!
1. Let
Shortest piece = x
Longest piece = y
Third piece = z
2.
Shortest piece = x
Longest piece = 40 + x
Third piece = (40 + x)/2 OR 20 + 0.5x
3. Add all the expressions since you know that the total of all the pieces is 120 inches
40 + x + 20 + 0.5x + x = 120.
4. Add the whole numbers first, then add the variables.
40+20=60
x+0.5=2.5x
60+2.5x=120
5. To get rid of the 60, do the opposite of addition which is subtraction and subtract 60 from both sides.
2.5x=120-60
2.5x=60
6. Do the same but rather than addition, do the opposite of multiplying which is dividing, on both sides.
x=60/2.5
x=24
7.
Shortest piece = 64-40=24 inches
Longest piece = 24+40=64
Third piece = 64/2=32
Answer:
4(2x+6)=32 x= 1
Step-by-step explanation:
multiply 4 to 2x and 6= (8x+24)=32
then subtract 24 from 32 = 8
then divide 8 from both sides
8x/8=8/8
x=1
29.3 mph because the first bicyclist went 88 miles while the second went only 84 at 28 mph
Answer:
-13,1
Step-by-step explanation:
f(x)= (x+6)^2-49
When we find the zero's we set f(x) =0
0= (x+6)^2-49
Add 49 to each side
49= (x+6)^2-49+49
49= (x+6)^2
Take the square root of each side
±sqrt(49) = sqrt((x+6)^2)
±7 = (x+6)
Subtract 6 from each side
±7-6 = (x+6-6)
±7-6 = x
7-6 =x -7-6 =x
1=x -13=x