Answer:
The area would be '15l - l²
Step-by-step explanation:
Given,
By 30 feet of wire fencing we need to make a rectangular shape,
Thus, perimeter of such rectangle = 30 feet,
We know that,
Perimeter of a rectangle = 2( length + width)
if length = l feet,
⇒ 2(l + width) = 30
⇒ 2l + 2 × width = 30
⇒ 2 × width = 30 - 2l
⇒ width = 
= (15-l) feet,
Now, area of the rectangle,
A = length × width
= l × (15-l)
= 15l - l²
Which is the required polynomial expression.
Note :
Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.
Since Krystal and Scott is heading on opposite
directions, therefore the distance between the two would be the sum of their
distances from where they left, so:
total distance (d) = distance covered by Krystal (dK) +
distance covered by Scott (dS)
d = dK + dS
We know that the formula for distance is:
distance = velocity * time
So,
d = vK * t + vS * t
where
vK = velocity of Krystal = 61 mph
vS = velocity of Scott = 65 mph
d = 252 miles
Therefore:
252 = 61 t + 65 t
126 t = 252
t = 2 hours
Therefore Scott needs to travel for 2 hours.
Answer:
18 sq. unit
you can draw it on no. line
actually it's rectangle with l=3 and b=6
We can create equations to solve this.
2.50p + 1.50m = 29.50
p + m = 15
Solve for a variable in the 2nd equation and use the substitution method to solve.
p + m = 15
Subtract p to both sides:
m = -p + 15
Plug in -p + 15 for m in the first equation.
2.50p + 1.50(-p + 15) = 29.50
Distribute:
2.50p - 1.50p + 22.50 = 29.50
Combine like terms:
p + 22.50 = 29.50
Subtract 22.50 to both sides:
p = 7
Now plug this into any of the two equations and solve for the other variable.
p + m = 15
7 + m = 15
Subtract 7 to both sides:
m = 8
So he purchased 7 pineapples and 8 mangos.
