Hello there.
6(8 - 2y) = 4y
To solve for this, we need to apply the Distributive Property to the left side of the equation. This property allows us to multiply the number outside of the parenthesis by all numbers inside of the parenthesis.
6(8 - 2y)
6(8) + 6(-2y)
48 - 12y
Now, let’s take a look at our equation.
-12y + 48 = 4y
To make things more simple, we’ll add 12y to both sides of the equation. This will cancel out -12y on the left side of the equation and will turn 4y on the right side of the equation into 16y.
Our new equation is:
16y = 48
Now all we need to do is divide both sides by 16 to solve for y.
16y / 16 = y
48 / 16 = 3
Our final answer and solution is:
Y = 3
I hope this helps!
Let the first number be = x
Let the second number which is consecutive be = x+1
As given, the product of two consecutive square numbers is 144

Square rooting both sides we get





or 
Neglect the negative value so we get x=3
Hence, one number is 3 and the consecutive number is = 3+1=4
The square of the numbers are 9 and 16.
Answer:
40
Step-by-step explanation:
The parallelograms are similar, so their corresponding sides are proportional. Write a proportion:
12 / 30 = 16 / PQ
Cross multiply:
12 PQ = 480
Solve for PQ:
PQ = 40
That would be 36 / 60 = 3/5 of an hour Answer
Answer:
24 cm and 11 cm
Step-by-step explanation:
GIVEN: The area of a triangular flag is
. Its altitude is
longer than twice its base.
TO FIND: lengths of the altitude and the base.
SOLUTION:
Let the altitude and the base of flag be
and 
According to the question

area of triangle 

Solving equation we get
then 
Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.