Answer:
![1002](https://tex.z-dn.net/?f=1002)
Step-by-step explanation:
First find difference between the divisors and remainders.
![16-10=6\\18-12=6\\21-15=6](https://tex.z-dn.net/?f=16-10%3D6%5C%5C18-12%3D6%5C%5C21-15%3D6)
Here, the difference between the divisors and remainders is equal.
So, the required number is equal to LCM of ![(16,18,21)-6](https://tex.z-dn.net/?f=%2816%2C18%2C21%29-6)
![16=2^4\\18=2(3^2)\\21=3(7)](https://tex.z-dn.net/?f=16%3D2%5E4%5C%5C18%3D2%283%5E2%29%5C%5C21%3D3%287%29)
LCM of ![(16,18,21)=2^4(3^2)(7)=1008](https://tex.z-dn.net/?f=%2816%2C18%2C21%29%3D2%5E4%283%5E2%29%287%29%3D1008)
Required Number ![=1008-6=1002](https://tex.z-dn.net/?f=%3D1008-6%3D1002)
Answer:
The last one.
Step-by-step explanation: Because 1/2 divided by 4 = 1/8 and 1/2 x 4/1 = 2
The measure of the supplementary angles are 34.3 and 145.7 degrees.
<h3>What are supplementary angles?</h3>
Supplementary angles are those angles that sum up to 180 degrees.
In other words, two angles are Supplementary when they add up to 180 degrees.
Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.
Hence,
let
x = measure of the other angle
x + x + 111.4 = 180
2x + 111.4 = 180
subtract 111.4 from both sides
2x + 111.4 - 111.4 = 180 - 111.4
2x = 68.6
divide both sides by 2
x = 68.6 / 2
x = 34.3
Other angle = 34.3 + 111.4 = 145.7°
Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.
learn more on supplementary angles here: brainly.com/question/15966137
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Answer:
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.
Step-by-step explanation:
Given:
First week
x gallons of gas at $2.39 per gallon
x gallons = $2.39x
Second week
3 fewer gallons of gas than the first week at $2.49 per gallon
x - 3 gallons = $2.49(x-3)
Total spent = $46.21
$2.39x + $2.49(x-3) = $46.21
2.39x + 2.49x - 7.47 = 46.21
4.88x - 7.47 = 46.21
Add 7.47 to both sides
4.88x - 7.47 + 7.47 = 46.21 + 7.47
4.88x = 53.68
Divide both sides by 4.88
x = 53.68/4.88
= 11
x = 11
First week = x = 11 gallons
Second week
= x - 3
= 11-3
= 8 gallons
Therefore,
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.