ANSWER
Find out the customer was the first to get both items
To proof
As given
During a promotional event
sporting goods store gave every 14th customer a free shirt and a free bottle to every 18th customer.
Least common factor of ( 14 , 18 )
L.C.M (14,18) = 2 ×7 ×9
= 126
Also as shown in the table given below
in the table
the common value in the shirt and bottle is 126.
i.e 126 th the customer was the first to get both items.
Hence proved
The answer is no because it fails the vertical line test
Answer:
it would be the first one
Step-by-step explanation:
Part A. The formula for finding the area of a parallelogram is A=bh where A is the area, b is the base and h is height.
A=bh where b=8 feet ,h=3/4 foot and A=?
A=8*3/4
A=6 feet The area of the parallelogram is 6 feet square
Part B.You can decompose a parallelogram into two triangles by drawing a diagonal from one end to the another.The formula for finding the area of each triangle is A= 1/2bh where A is area b is base and h is height.Therefore:
A=1/2bh where b=8 h is 3/4 and A=?
A=1/2*8*3/4
A=3 feet square. Therefore the area of each triangle is 3 feet square.
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
