18 and 35. The numbers whose sum 53 are 18 and 35.
The key to solve this problem is using a system of equations.
There are two numbers whose sum is 53. This number can be represented as x and y. So:
x + y = 53
Three times the smaller number is equal to 19 more than the larger. Let's set x as the smaller number and y the larger number. So:
3x = 19 + y
Clear y in both equations and let's use the equalization method to solve for x:
y = 53 - x and y = 3x - 19
Then,
53 - x = 3x - 19
53 + 19 = 3x + x ---------> 3x + x = 53 + 19 -------> 4x = 72
x = 72/4 = 18
To find y, let's substitute x = 18 in the equation x + y = 53
18 + y = 53 --------> y = 53 - 18
y = 35
Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = 
= 
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
There is missing information
stephanie's car would require 3 gallons of gasoline to get to the zoo
Answer:
D
Step-by-step explanation:
Let x = total number of basketball games that was played by the team this season.
Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.
60% of x basketball games this season = 60/100 × x
= 0.6×x = 0.6x
From the information given, Alon started a total of 12 basketball games this season. Therefore,
0.6x = 12
x = 12/0.6 = 20
