3/4 times 7/9:
First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).
Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.
Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.

Our new fraction in its simplest form is 7/12.
Answer in fraction form:

Answer in decimal form:
Lets note the change between each of the numbers in the sequence:
-2 --> 6 ---> 14
Next, make an equation between each of these numbers with x being the change between them
-2+ x = 6, 6 + x = 14 .
Now, solve each of these equations:
-2+ x = 6 --> -2+ x = 6 <em>Add 2 on both sides to cancel out the -2 </em>--> <em>x = 8</em>
6+ x = 14 --> -2+ x = 6 Minus <em>6 on both sides to cancel out the 6 </em>--> <em>x = 8</em>
<u><em>From this, the common difference will be 8.</em></u>
Hope that helps.
Answer:
Sally will need to sell 8 glasses of lemonade
Step-by-step explanation:
Very Simple, you just need to do 20 divided by 2.50 and there is your answer
Hope this helps :)
By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.
Then, to find the slope and the y-intercept of the line given in the exercise, you only need to solve for "y", in order to write the equation in Slope-Intercept Form:

Now you can identify that the slope is:

And the y-intercept is:

Therefore, the answer is:

4.25 inches cubed because if you do 3.5x3.5x7 =85.75 then 90-85.75=4.25