Answer:
x = 5.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
31 = x + 25.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 25.5 on both sides: 5.5 = x
- Rewrite: x = 5.5
Answer:
10 years
Step-by-step explanation:
the average or mean value is the sum of all data points divided by the number of data points.
x = the unknown age of the 5th student.
average = 9 = (5 + 7 + 8 + 15 + x)/5
45 = 5 + 7 + 8 + 15 + x = 35 + x
x = 45 - 35 = 10
the 5th student is 10 years old.
3/4 x 2/1 = 6/4
Simplify:
6/4 = 3/2
So, 3/2 or 1.5
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Answer:
Let's solve your equation step-by-step.
4 ( 8x − 1 ) = 19 + 32x
Step 1: Simplify both sides of the equation.
4 ( 8x − 1 ) = 19 + 32x
( 4 ) ( 8x ) + ( 4 ) ( −1 ) = 19 + 32x ( Distribute )
32x + −4 = 19 + 32x
32x − 4 = 32x + 19
Step 2: Subtract 32x from both sides.
32x − 4 − 32x = 32x + 19 − 32x
−4 = 19
Step 3: Add 4 to both sides.
−4 + 4 = 19 + 4
0 = 23
Answer:
There are no solutions.
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Answer:
Follows are the solution to the given point:
Step-by-step explanation:
In point a:
¬∃y∃xP (x, y)
∀x∀y(>P(x,y))
In point b:
¬∀x∃yP (x, y)
∃x∀y ¬P(x,y)
In point c:
¬∃y(Q(y) ∧ ∀x¬R(x, y)) 
∀y(> Q(y) V ∀ ¬ (¬R(x,y)))
∀y(¬Q(Y)) V ∃xR(x,y) )
In point d:
¬∃y(∃xR(x, y) ∨ ∀xS(x, y))
∀y(∀x>R(x,y)) 
∃x>s(x,y))
In point e:
¬∃y(∀x∃zT (x, y, z) ∨ ∃x∀zU (x, y, z))
∀y(∃x ∀z)>T(x,y,z) ∀x ∃z> V (x,y,z))
