Answer:
Step-by-step explanation:
We want to simplify:
This is the same as:
Now let us convert the mixed numbers to improper fractions.
We multiply by the reciprocal of the second fraction to get:
Cancel out the common factors to obtain:
Answer:
<h2>210</h2>
Step-by-step explanation:
list of prime #s between 12 and 42:
13, 17, 19, 23, 29, 31, 37, 41
now add them up:
13+17+<em>19</em>+<u>23</u>+<em>29+31</em>+<u>37</u>+<em>41</em>
30+60+60+60
90+120
210
Answer:
Step-by-step explanation:
First box: m=1/2
Second box: m=2
Third box: m=1
Fourth box: m=2
Answer:
<h2>y = 3x + b where b is any real number</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the equation: 
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:
where b is any real number.
Answer:
she took 13 classes that were worth 3 credits
Step-by-step explanation:
well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be
3x+4y=59
x would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.
then it says the total number of classes that they took was 18 so we know that
x + y =18.
you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4
4x+4y=72
then subtract 4x+4y=72 from 3x+4y=59 to get
-x = -13
and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.
