Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
9514 1404 393
Answer:
$96
Step-by-step explanation:
Morgan worked 48 -40 = 8 hours of overtime. The pay for each of those hours is 1.5×$8 = $12.
Morgan earned (8 h)×($12/h) = $96 in overtime pay.
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
Where 
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that 
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Answer:
The maximum amount of money that should be spent on housing each month is $522.
The maximum amount of money that should be spent on transportation each month is $290.
The maximum amount of money that should be spent on food each month is $246.50.
The maximum amount of money that should be spent on entertainment each month is $116.
Answer:
One number is 17 and the other is 85.
Step-by-step explanation:
Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.
Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.
