Answer: 17/24
Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.
3/24 + 14/24
To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.
So 1/8 + 7/12 is 17/24.
Answer:
No.
Step-by-step explanation:
In order to complete the square, you need to have the x values together, not the constant.
To complete the square <em>correctly </em>you would need to have x² - 20x = -6 and continue from there; divide 20 by 2 and square the result to get (x - 10)² = 96.
Answer:
3.5
Step-by-step explanation:
To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y
For this case, when x =1, y=3.5
when x=2, y=7
Taking in case 1, y/x = 3.5/1 = 3.5
In case 2, y/x= 7/2 = 3.5
But you know that the constant of proportionality k is given by;
y=kx------------------------making k subject of formula
y/x=k
Hence in this case, your constant of proportionality is 3.5
Answer:
200.96cm^2 base area
Step-by-step explanation:
Eq of circle area = πr^2
= 3.14 x 8^2
3.14 x 64
200.96cm^2
.
Answer:
Step-by-step explanation:
(3b)³ = 3³·b³ = 27b³