This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.
First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:
Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:
Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.
Since x=15, Tina has solved 15 hard puzzles.
Answer:
x = 8
In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.
6 + 6 + 6 = 18
Answer:
3 times a number (3x)
Step-by-step explanation: replace the phrase 'a number' with the variable X. then you simply end up with 12x-9x, which equals 3x.
Answer:
$10
Step-by-step explanation:
cost of one month of game play = x
1(35) + 3x + 2(35) + 5x = 185
35 + 70 + 8x = 185
105 + 8x = 185
-105 -105
8x = 80
/8. /8
x =10
Answer:
The bass fish was the better catch
Step-by-step explanation:
From the question we are told that
The population mean for trout is 
The standard deviation is 
The population mean for base is 
The standard deviation is 
The number of trout caught 
The number of bass caught 
Generally z-value(standardized value ) for the of number trout caught is mathematically represented as
substituting value
Generally z-value(standardized value ) for the of number bass caught is mathematically represented as
substituting value
From our calculation we see that 
The fish that was the better catch is the bass fish
