SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Identify an integer x for which 3x/4 represents a ratio greater than 3 : 1 but less than 4 : 1.
3x/4 > 3/1 and 3x/4 < 4/1
3x > 12 and 3x < 16
x > 4 and x < 16/3
so 4 < x < 16/3 ,(16/3 = 5.333..)
the only integer in that range is 5
check :
Is 15/4 > 3 ? YES
Is 15/4 < 4 ? YES !!
To find an integer x that satisfies the given ratio, we need to set up the equation 3x/4 = 3/1.
First, simplify the equation by multiplying both sides by 4 to eliminate the fraction:
4 * 3x/4 = 4 * 3/1
3x = 12
Next, divide both sides of the equation by 3 to solve for x:
3x/3 = 12/3
x = 4
Therefore, the integer x that satisfies the given ratio is 4.