Answer:
8 inches
Step-by-step explanation:
The area of a triangle is ...
A = 1/2bh
Filling in the given values, we have ...
24 = 1/2b(6)
24/3 = b = 8 . . . . . divide by the coefficient of b
The base of each triangular quilt piece is 8 inches long.
Answer:
- 3x² is a term in the numerator
- x + 1 is a common factor
- The denominator has 3 terms
Step-by-step explanation:
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...

This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.
Answer:
It should take you 12 minutes per mile, so for 5 miles it should take you approx. an hour/60 minutes.
Answer:
x is 30/7
Step-by-step explanation:
You want to isolate x.
First, solve 5 * 6/7. The answer is 30/7.
Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.
Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.
You can plug it back into the equation to check.
All in all there are 26 pieces of clothing available. The probability of randomly selecting a blue piece is equal to 18/26. Also, the probability of picking up a pants is 14/26. There are 10 blue pants and the probability of picking up one of those is 10/26. The answer can be computed as follows:
P(A or B) = (18/26) + (14/26) - (10/26) = 22/26
P(A or B) = 22/26 or 11/13