Answer:
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
Correct statement, question and data:
The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?
Please see the table attached.
Source:
Question that can be found at mathpractice101
Step-by-step explanation:
Let's answer the question, this way:
Depth of the Southern Ocean = x
For solving x, we have:
(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094
10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)
33.23 + x = 40.47
x = 40.47 - 33.23 (Subtracting 33.23 at both sides)
<u>x = 7.24</u>
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
Answer:
1/3 = 0.333333
16/33 = 0.48484848
2/11 = 0.181818
1/12 = 0.0833333
127/999 = 0.127127127
Step-by-step explanation:
divde each fraction
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
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ANSWER
EXPLANATION
The given equation is
We add the additive inverse of 31 which is -31 to both sides of the equation to get,
Simplify;
Answer:
$968
Step-by-step explanation:
x= the money John originally had in his savings account
The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:
3/4(x-88)
Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:
7/11(3/4(x-88))= 420
21/44(x-88)=420
21/44x-42=420
21/44x=462
x=968
According to this, the money that John originally had in his savings account was $968.
He spent $88 on a radio: 968-88= 880
1/4 of what was left on presents for his friends: 880/4= 220
880-220=660
Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240
the last remaining $420 was left to charity: 660-240= 420
