Answer:
x = 29/8c
Step-by-step explanation:
2/3(cx+1/2) - 1/4+ 1/4 = 5/2+1/4
2/3(cx+1/2) = 11/4
1/3(cx+1/2) = 11/4 / 2
cx/3 + 1/2/3 = 11/4/2
cx/3 + 1/2*3 = 11/4/2
cx/3 + 1/6 = 11/4/2
cx/3 + 1/6 = 11/4*2
cx/3 + 1/6 = 11/8
cx/3 = 11/8 - 1/6
cx/3 = 29/24
cx = 29/24 * 3
x = 29/8 / c
x = 29/8c
Answer:
f = 2
g = 8
h = -9
k = 40
m = 1
Step-by-step explanation:
Equation 1:
23f - 17 = 29
Add 17 to both sides. This undoes the -17.
23f = 29 + 17
Add 17 to 29 to get 46.
23f = 46
Divide both sides by 23. This undoes the multiplication by 23.
f = 46/23
Divide 46 by 23 to get 2.
f = 2
Equation 2:
2(3g + 4) = 56
Divide both sides by 2. This undoes the multiplication by 2.
3g + 4 = 56/2
Divide 56 by 2 to get 28.
3g + 4 = 28
Subtract 4 from both sides. This undoes the +4.
3g = 28 - 4
Subtract 4 from 28 to get 24.
3g = 24
Divide both sides by 3. This undoes the multiplication by 3.
g = 24/3
Divide 24 by 3 to get 8.
g = 8
Equation 3:
h + 9 = 0
Subtract 9 from both sides. This undoes the +9.
h = 0 - 9
Any number subtracted from 0 gives its negation.
h = -9
Equation 4
3(k - 8) = 96
Divide both sides by 3. This undoes the multiplication by 3.
k - 8 = 96/3
Divide 96 by 3 to get 32.
k - 8 = 32
Add 8 to both sides. This undoes the -8.
k = 32 + 8
Add 8 to 32 to get 40.
k = 40
Equation 5:
5m - 5 = 0
Add 5 to both sides. This undoes the -5
5m = 0 + 5
Anything plus 0 gives itself.
5m = 5
Divide both sides by 5. This undoes the multiplication by 5
m = 5/5
Anything divided by itself gives you 1.
m = 1
Answer:
Length = 17 cm
Width = 8 cm
Step-by-step explanation:
Let the length be x cm
Therefore, Width = (x - 9) cm
Perimeter of rectangle = 2(l +w)
50 = 2[x + (x - 9)]
50/2 = 2x - 9
25 = 2x - 9
25+ 9 = 2x
2x = 34
x = 34/2
x = 17 cm
x - 9 = 17 - 9 = 8 cm
Therefore,
Length = 17 cm
Width = 8 cm
Thus, the dimensions of the rectangle are 17 cm and 8 cm.
Answer: 
cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:
Your answer is 1/16
(X×6)/6 =3/8
(X×6)/6 =(3/8)/6
