Answer:
The answer is 16.
Step-by-step explanation:
∠AO is equal to ∠OB
Since ∠OB is 8 meters the ∠AO would be the same.
Therefore, 8+8=16.
∠AB = 16 m
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get

Dividing by 3 on both sides

Exapnding we get

Subtracting 80 from both sides

Factoring

We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.</span>
Step-by-step explanation:
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Answer:
B. 9 : 21
Step-by-step explanation:
Multiply numerator and denominator by 3:
... 3/7 × 3/3 = 9/21 ⇒ 9 : 21
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Any denominator that is not a multiple of 7 will not work. 35 is a multiple of 7 (=5×7), but 12 (=4×3) is not the same multiple of 3.