Step-by-step explanation:
Conversion a mixed number 5 3/2
to an improper fraction: 5 3/2 = 5 3/2
= 5 · 2 + 3/2
= 10 + 3/2
= 13/2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2
= 10/2
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Five and three halfs is thirteen halfs
Conversion a mixed number 3 6/7
to an improper fraction: 3 6/7 = 3 6/7
improper fraction: 3 6/7 = 3 6/7
3 · 7 + 6/7 = 21 + 6/7 =27/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27
c) Write a previous answer (new numerator 27) over the denominator 7.
Three and six sevenths is twenty-seven sevenths
Multiple:
13/2 * 27/7 = 13/2 · 27/7 = 351/14
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer: 10
Step-by-step explanation: Calculate the square root of 100
Answer:
A = 28.3 cubic inches; P = 20.1 inches
Step-by-step explanation:
<em>Looks like 3/4 of a full circle</em>
<em>The area of a circle is calculated with the formula: </em>
<em>Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.</em>
<em>The radius is given as 3 inches</em>
Area = 
cubic inches = 28.3 cubic inches
------------------------
<em>Perimeter is calculated with </em>
<em>.</em>
<em>But this is 3/4 of a circle with an additional two 3-inch sides</em>
Perimeter = 
+ 2(3) = 14.1 + 6 = 20.1 inches
Answer:
a = 3
Step-by-step explanation:
9-3=6
6/2=3
