Hello!
Since we want to find out how many rooms will be needed for 44 people, we must use division.
44 ÷ 5 = 8.8
Check by multiplying:
5 × 8 = 40
Because 40 is less than the amount of people (44), we'll need to multiply by the next number in line (9):
5 × 9 = 45 (1 extra person, no biggie!)
The tour group will need 9 rooms.
247,039 rounded to the nearest thousand becomes
247,000
By adding 104+34 and then 228+877, Then adding both of the results and finally subtracting the answer by one of the factors.
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Explanation:
Which will be...
104+34=138
228+877=1,105
Then add them...
138+1,105=1,243
Finally, subtract your answer by one of the factors...
1,243-1,105
Which will result as 138. Which is also one of the factors you added earlier, that's basically what your looking fro when checking and subtraction and/or addition problem.
Answer:
<h2>x = 3, y = 8</h2>
Step-by-step explanation:
We know:
The diagonals of the parallelogram are divided in half.
Therefore
EK ≅ KG and HK ≅ KF.
We have
EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5
Equations:
(1) 7x + 5 = 3x + 17
(2) 3y - 11 = y + 5
Solutions:
(1)
7x + 5 = 3x + 17 <em>subtract 5 from both sides</em>
7x + 5 - 5 = 3x + 17 - 5
7x = 3x + 12 <em>subtract 3x from both sides</em>
7x - 3x = 3x - 3x + 12
4x = 12 <em>divide both sides by 4</em>
4x/4 = 12/4
x = 3
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(2)
3y - 11 = y + 5 <em>add 11 to both sides</em>
3y - 11 + 11 = y + 5 + 11
3y = y + 16 <em>subtract y from both sides</em>
3y - y = y - y + 16
2y = 16 <em>divide both sides by 2</em>
2y/2 = 16/2
y = 8
Answer:
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, ∠ABC + ∠BAC + ∠BCA = 180°
⇒ 42 + 64 + ∠BCA = 180°
⇒ ∠BCA = 180 - 42 - 64
