Answer:
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Step-by-step explanation:
Answer:
102
Step-by-step explanation:
The least common multiple of 6 and 17
For us to determine the L.C.M of 6 and 17,
First find the prime factors of 6 and 17
Prime Factor of 6
6 = 2 × 3
Prime factor of 17
17 = 1 × 17
Secondly;
Multiply all the factors together to find the L.C.M:
L.C.M = 1 × 2 × 3 × 17
L.C.M = 102
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The relationship between the 6s in 6,600 value of the given digits
We write the numbers in place value chart
Thousand Hundreds Tens Ones
6 6 0 0
first 6 is in thousands place
next 6 is in hundreds place
6 thousand is 10 times greater than 6 hundred
6000 is 10 times greater than 600
Answer: x = 5, y = -1
<u>Step-by-step explanation:</u>
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
<em>I chose to eliminate y.</em> The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> <u> 6x - 10y</u> = <u>40 </u>
26x = 130
<u> ÷26 </u> <u>÷26 </u>
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
<u> -20 </u> <u>-20 </u>
2y = -2
<u> ÷2 </u> <u> ÷2 </u>
y = -1