Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Answer:
About 1 gallon. (32/30)
Step-by-step explanation:
First get a LCM (least common multiple) for 3, 5, and 2.
Now we have 30. Make 30 the denominator for all.
10/30
15/30
7/30
Then add them all up to get 32/30.
About 1 gallon.
Answer:
There are a 25% probability that Christine fails the course.
Step-by-step explanation:
We have these following probabilities:
A 50% probability that Christine finds a tutor.
With a tutor, she has a 10% probability of failling.
A 50% probability that Christine does not find a tutor.
Without a tutor, she has a 40% probability of failing.
Probability that she fails:
10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

There are a 25% probability that Christine fails the course.
The other family is traveling at 900 miles per day while your family is traveling at 950 miles per day. So your family is traveling faster.
Answer:

Step-by-step explanation:
The question is incomplete, as the graphs or equations of the lines are not given.
However, I will give a general explanation of calculating both intercepts
A linear equation is of the form:

Where:
y intercept
So, the equation

has 2 as its y-intercept
Set y to 0, to calculate the x-intercept

Collect like terms

Multiply by 3/2


So, the equation with the required criteria is:
