2
3
−
4
2
+
9
−
4
Step-by-step explanation:
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer:
2/3* 4/5 = 8/15
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.
Given:
- One-fifth (1/5) of the playground is used for students to sit and read
- 2/3 is used for playing soccer
- The rest of the playground is used for playing basketball
So assume that the the playground is divided into 5 equal part
=> 1 part is used for students to sit and read or (1/5)
=> the remaining equal part is 4 or (4/5)
Because 2/3 of the remaining part is used for playing soccer
=> the equation represents the part of the playground used for soccer is:
2/3 of 4/5
= 2/3* 4/5
= 8/15
Sophia is 12. Four times that is 48. If her mother is 5 years less than this, she is 43.
(12 x 4) - 5 = 43
The first question each friend gets 1/8 of the whole pizza
for half of the pizza each friend gets 1/4 so that times 2 equals 1/8
The second question one person gets 1/15 of the brownie pan
1/5 times 3 equals 1/15
The third question 1/3 cup one serving 1 cup three servings three times six equals 18 servings
The fourth question 1/5 cup one muffin one cup 5 muffins five times nine equals forty-five muffins
Hope this helps
