Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,
Now we have to move 4x to the left side by subtracting 4x from both sides.
To get x, we will divide both sides by 17. We will get,
So the smaller number =
The larger number = =
So we have got the required numbers.
Smaller number = and larger number = .
Answer:
Step-by-step explanation:
The equation of a circle:
<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:
Substitute the coordinates of the given points (-8, 2) and (-2, 6):
The radius:
The formula of a midpoint:
Substitute:
Finally:
Answer: The team's win-loss record that year is 1.7
Step-by-step explanation:
During the 2017 Major League Baseball season the Cleveland Indians played 162 games.
Let x = the number of games that the
Cleveland Indians lost during the 2017 Major League Baseball season.
This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.
Total number of games played = sum of games won + sum of games lost. This is expressed as
162 = x + 42 + x
2x + 42 = 162
2x = 162-42 = 120
x = 120/2 = 60
Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60
The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102
The team's win-loss record that year
would be wins/loses
= 102/60 = 1.7
The equation representing the value of the collection after 7 years is value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4
<h3>What is an Equation ?</h3>
An equation is a mathematical statement , where the algebraic expression is equated to another algebraic expression.
It is given that
Ella has a collection of vintage action figures that is worth $430.
collection
appreciates at a rate of 4% per year
equation representing the value of the collection after 7 years is
value of collection = 430 + (0.04 * 430 )* t
value of collection = 430 + (0.04 * 430 )* 7
= $550.4
Therefore the equation representing the value of the collection after 7 years is value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4
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