Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
45% of what number is 27
0.45x = 27
x = 27 / 0.45
x = 60 <== 45% of 60 = 27
Answer:
The answer to your question is (x + 3)
Step-by-step explanation:

Factor the expression

Simplify
Cancel 5 because is in both numerator and denominator
Cancel (x + 1) because is in both numerator and denominator
Cancel (x - 1) because is in both numerator and denominator
Cancel x² because is in both numerator and denominator
After simplifying, the result is (x + 3)
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
Answer:
It can be modeled with the equation
but needs a starting population number to finish.
Step-by-step explanation:
To find the population in a future year, use the formula:

where A is the amount, p is the starting population, r is 2% or 0.02, and t is the number of years.
Since the population is increasing it is addition. Substitute r=0.02 and t=6. Without a starting population, we cannot find the population in 6 years.
