Answer:
x=-4
y=1
Step-by-step explanation:
For the given system of equations,
2.5x-3y=-13.....eqn(1)
3.25x-y=-14.....eqn(2)
We first make y the subject of eqn (2)
This implies that,
y=3.25x+14.....eqn(3)
We substitute eqn (3) into eqn (1)
2.5x-3(3.25x+14)=-13
2.5x-9.75x-42=-13
-42+13=9.75x-2.5x
-29=7.25x
Dividing through by 7.25, we obtain
x=-4
We now put the value of x into eqn (2)
3.25(-4)-y=-14
This implies that,
-13+14=y
y=1
Answer:
³/5
Step-by-step explanation:
Total = 5 units
Girls = 3 units
~if ⅔ of the girls wear braces
= 2units of girs wear braces
Boys = 2 units
~if ½ of the boys wear braces
= 1unit of boys wear braces
Hence, 2units + 1unit =3 units of the class wears braces.
Total pupils = 5units
total that wear braces out of the whole class = 3/5
Write the decimal number as a fraction ( over 1 ) 1.49=1.49/1
Multiplying by 1 to eliminate 2 decimal places we multiply top and bottom by 2 10s
Numerator ( N)
N= 1.49*10*10=149
Denominator(D)
D+ 1*10*10=100
N / D =149/100
Simplifying the fraction:
149/100
149/100
1 49/100 ( Final Answer )
distributinve, multiplying from parenthesece
Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
