Answer:
![21d+25\leq 115](https://tex.z-dn.net/?f=21d%2B25%5Cleq%20115)
Max is 4 days.
Step-by-step explanation:
An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign:
.
We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.
We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.
21d + 0.10(250)
We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.
So we write
.
To find the number of days he can rent the car, we solve for d using inverse operations.
![21d+0.10(250)\leq 115\\21d+25\leq 115\\21d+25-25\leq 115-25\\21d\leq 90\\\frac{21d}{21} \leq \frac{90}{21}\\d\leq 4.3](https://tex.z-dn.net/?f=21d%2B0.10%28250%29%5Cleq%20115%5C%5C21d%2B25%5Cleq%20115%5C%5C21d%2B25-25%5Cleq%20115-25%5C%5C21d%5Cleq%2090%5C%5C%5Cfrac%7B21d%7D%7B21%7D%20%5Cleq%20%5Cfrac%7B90%7D%7B21%7D%5C%5Cd%5Cleq%204.3)
This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.
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Answer:
See step by step
Step-by-step explanation:
For A. use any two factors that multiply to 100 that isn't 25 and 4.
For b Use one obtuse angle (angle over 90 degree) and two acute angles. Make sure they add up to 180.
For c Use any two values that add up to 52 since they didnt establish y as the midpoint.
For d. measure of angle 1 is 45 and measure of angle 2 is 45 degrees
3x^2+11x-4=10x-1
3x^2+11x-10x-4+1=0
3x^2+x-3=0
Δ=1^1-4*3*(-3)=1+36=37
x1=(-1+V37)/6
x2=( -1-V37)/6
The construction crew took
days to build
miles of road.
Therefore, in 1 day, the crew built
miles of road
=
miles of road
Thus, the required rate is
miles or
miles per day.