Answer:
1.85%
Step-by-step explanation:
→ Find the difference between the actual and predicted
5.5 - 5.4 = 0.1
→ Divide answer by 5.4
0.1 ÷ 5.4 = 0.01851851851
→ Multiply answer by 100
0.01851851851 × 100 = 1.85%
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
Answer:
I would need the dimensions of the window to solve
Step-by-step explanation:
4x+1=2x+7
-1 -1
4x=2x+6
-2x -2x
2x=6
2x/2- 6/2
X=3
