Answer:

Step-by-step explanation:
arithmetic sequence formula: 
where
is the first term and
is the common difference
Given:
⇒ 
⇒ 
Given:

⇒ 
⇒ 
Rearrange the first equation to make
the subject:
a = 32 - 9d
Now substitute into the second equation and solve for 
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of
into the first equation and solve for
:
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is: 
Answer: A
Step-by-step explanation:
3x² - 10x + 5 = 0
a = 3 b = -10 c = 5
Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions
=> x =
or x = 
Answer:
7 1/3 gallons
Step-by-step explanation:
If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.
I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.
Answer:

Step-by-step explanation:
mark me Brainllest
Answer: fish
Step-by-step explanation: 2+2=fish