To solve this problem, we first have to convert 5 1/2 into an improper fraction. To do this, we multiply the unit (5) times the denominator (2) and then add the numerator (1) to the product, while still keeping the same denominator.
(5 * 2) + 1 = 10 + 1 = 11/2
Now, this makes our expression: 11/2 - 2/3
Next, we have to find a common denominator for 2 and 3 by finding their shared LCM, or least common multiple. In this case, the LCM is 6. This means that we are going to convert both of the fractions in the expression into fractions with the denominator 6, so that we can easily compute the subtraction.
11 * 3 / 2 * 3 - 2 * 2 / 3 * 2
33/6 - 4/6
Now, we can simply subtract the numerators to find our final answer.
29/6
Your final answer is 29/6.
Hope this helps!
Here we have some problems about circles, the solutions are:
- a) 490.6 yd^2
- b) x = 15
- c) x = 27
<h3>
How to find the area of a circle?</h3>
We know that for a circle of diameter D, the area is given by:
A = pi*(D/2)^2
where pi = 3.14
In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:
A = 3.14*(25yd/2)^2 = 490.6 yd^2
<h3>How to find the value of x?</h3>
<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:
180° = 37° + (9x + 8)°
180° - 37° - 8° = (9x)°
135°/9° = x = 15
So the value of x is 15.
For the last image:
Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>
270° = 54° + (2x + 21)° + (5x + 6)°
Now we solve this for x:
270 - 54 - 21 - 6 = 2x + 5x
189 = 7x
189/7 = x = 27
x is equal to 27
If you want to learn more about circles, you can read:
brainly.com/question/25306774
Slope of 40x + 15000: m = 40
Abcdefghijklmnopqrstuvwxyz
X = -(-1) +/- sqrt((-1)^2 - 4*4*3)
------------------------------------ = 1/8 +/- sqrt47i
2 * 4
None of the choices are correct
