Answer:
16 cars.
Step-by-step explanation:
Let x represent number of sold cars.
We have been that 1st company pays a salary of $8000 plus a commission of $900 for each car sold. We can represent this information in an expression as:
We are also told that second company pays a salary of $14400 plus a commission of $500 for each car sold. We can represent this information in an expression as:
To find the number of cars sold, which will make the total pay the same, we will equate both expressions and solve for x as:
Therefore, 16 cars would need to be sold to make the total pay the same.
Find to LCM of 8 and 18 to compare times
Mary: 4*9laps/8*9min
36 laps/ 72 mins
Nicole: 12*4laps/18*4 mins
48 laps/ 72 mins
Nicole runs more laps in the same amount of time as Mary
Therefore, Nicole runs faster
Answer:
Step-by-step explanation:
Given the simultaneous equation
2x - y = 11. Equation 1
6x – 3y = 15. Equation 2
Using elimination method
Multiply the coefficient of x in equation 1 (which is 2) to equation 2. Also, multiply the coefficient of x in equation 2 (which 6) to equation 1. By doing this we are going to eliminate x
2x - y = 11. × 6 Equation 1
6x – 3y = 15. ×2 Equation 2
12x-6y=66. Equation 3
12x-6y=30. Equation 4
Subtract equation 4 from 3
Then (12x-6y) - (12x-6y) =66 -30
0=36
Which is not possible
Then the system has no solution, it has no solution at all. Because 0 is not equal to 36. If has been 0 equals to 0, then we may many solutions for simultaneous equation.
Answer:
She made She made 100 grams of 45% sugar syrup.
Step-by-step explanation:
Genna added 45 grams of sugar into 55 grams of water.
Total amount she mixes = 45 + 55 = 100 grams.
Percentage of sugar in total mixture (sugar syrup) = 45 grams sugar in 55 grams syrup.
Here, Solute is sugar and Solvent is water.
mass of solute = 45
mass of solute + mass of solvent = 100
Putting values, we get,
Thus, She made She made 100 grams of 45% sugar syrup.
