My teacher said the answer was $44.44 but I don't understand how she got that, can someone help please?
A.
none
B.
exactly one
C.
exactly two
D.
infinitely many
The Other dude is correct I did the test
The answer is None
How long did it take for the cities to reach the same temperature? Simplify any fractions.
___ hours
Answer:
80+2h=72+4h
4hours
Step-by-step explanation:
80+2h=72+4h
80-72=4h-2h
8=2h
h=8/2
h=4
Answer:
It took 4 hours for the two cities to reach the same temp.
Step-by-step explanation:
Part 1
First, you will write an expression for each city.
Austin starts at 80°F and rises 2°F per hour. 80 is our starting point. 2 is how much is added each hour. The per hour means we need a variable.
Little Rock starts at 72°F and rises 4° per hour. 72 is our starting point. 4 is how much is added per hour. The per hour means we need a variable.
Second, you want to know when the cities are equal, so you set these expressions equal to each other.
Part 2
This is an equation with variables on both sides. You will need to follow a few steps to solve these problems.
Step 1: look for grouping symbols. This problem does not have any visible or invisible grouping symbols.
Step 2: Look at the left side. Are there any like terms? This problem does not have any like terms on the left side. Look at the right side. Are there any like terms? This problem does not have any like terms on the right side.
Step 3: Are there variables on the left and right side of the equal sign? (Look to the left of the equal sign; you will see 2h. The h is a variable on the left side. Look to the right of the equal sign; you will see 4h. The h is a variable on the right side.)
Step 4: Are there constants on the left and right sides of the equal sign?
Step 5: Does the variable have a coefficient other than 1? (Is there a number written with the variable? Is the variable not 1?)
You have now solved the equation for the variable. Remember h was defined in the problem as "the number of hours it took for the cities to reach the same temperature." This means that it took 4 hours for the cities to reach the same temperature. You can check this with a simple check
You substitute the 4 in the original expressions. If you did the work correctly, you will get the same answer for both equations.
Since both expressions produced the same answer when 4 was substituted the answer is correct.