Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is 
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear
The volume of the fish tank is 408 in³
To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.
<h3>What is the volume of plane shapes?</h3>
The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.
From the figure given:
The figure can be differentiated into two shapes;
The volume of the rectangle is known as:
- = Length × Breadth
- = 7 inches × 6 inches
- = 42 inches²
The volume of the triangle is:
- = 1/2 × base × height
- = 1/2 × 3 × 6
- = 9 inches²
The total volume of the base of the fish tank now is:
- = 42 inches² + 9 inches²
- = 51 inches²
Now, the volume of the fish tank is:
- = Height × base of the fish tank
- = 8 inches × 51 inches²
- = 408 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473
I don't know if you are asking for an equation but if you are, here ya go.
P = $3.95 + $0.85t
Step-by-step explanation:
1. AB = BC (B is the midpoint of AC)
2. DE = EF (E is the midpoint of DF)
3. EB is common
4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)
5. ΔDEB ≅ ΔFEB (RHS)
6. DB = FB (corresponding ∠s of ≅ Δs)
7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)
8. ΔABD ≅ ΔCBF (SAS)
Answer:
Im pretty sure the answer is 327.96
Step-by-step explanation:
