In a proportional relationship, x and y will increase at the same rate. In order to find the value of x when y=4, we first have to find the ratio of x:y. We can do this by creating a fraction. After we know the ratio, simply replace the y value with 4 and solve for x. Here's the math:
y=15 when x=3 given values
y/x = 15/3 = 5 ratio of y to x
y=5x equation representing the proportional relationship
4=5x replace y with 4
4/5=x divide both sides by 5 to isolate x
Answer: The value of x=4/5 when y=4.
Hope this helps!
Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Okay, so basically all you need to do is combine like terms!
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1
so your simplified answer is y + 1
I hope this helps!!
Answer:
About 31 years
Step-by-step explanation:
Given data
Principal= $3500
Rate= 4.75%
Final amount= $15,000
Time=??
The expression for time on compound interest is
Calculate time, solve for t
t = ln(A/P) / r
substitute
Calculate time, solve for t
t = ln(15000/3500) / 0.0475
t= ln(4.2857)/ 0.0475
t= 1.4552/0.0475
t= 30.63 years
Hence it will take about 31 years
