Answer:
standard form is 45x -12y -100 = 0.
Step-by-step explanation:
Given the equation is -3/2x=-2/5y-10/3.
Finding common denominator, L.C.M.(2,5,3) = 30.
Multiplying both sides by 30.
30*(-3/2x) = 30*(-2/5y-10/3)
-45x = -12y -100
Moving all terms on left side, keeping right side equal to 0.
-45x +12y +100 = 0
Making x's coefficient positive by changing all signs.
45x -12y -100 = 0
Hence, standard form is 45x -12y -100 = 0.
Answer:
Step-by-step explanation:
You want to rewrite the equation
Ax +By=C A,B,C are integers
30(-3/2x) = 30(-2/5y-10/3)
-45x = -12y - 100
-45x + 12y = -100
The rounded form of 347500 for given cases gives 348000, 350000 and 300000.
Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
For this case, we've got the number 347,500
Rounding it for given cases:
Rounding to nearest thousand means rounding to the digit whose value is in thousands (from 0 to 9).
This is the fourth digit from right of the decimal.
347500 = 347500.0
The fourth digit from right is 7
Rounding to it, as it has 5 next to it, the rounded version will make 7500 -> 8000
Thus, we get:
347500 -> 348000
Similarly,
There are 5 digits in 10000, and 5th digit from right in 347500 is 4
Right to 4, there is 7, which is ≥ 5, therefore, 47500 will become 50000
Thus, we get:
347500 -> 350000
6th digit from right in 347500 is 3.
Right to 3 lies 4. 4 < 5 therefore 347500 will become 300000 after rounding to the nearest 100000
The digit 5 acts as a limit.
If the right sided digit to the digit where we've to round off is < 5, we keep it same and make all right sided values 0, and if the right sided digit is > 5, then we make it increase by 1 and rest of the right sided digits become 0. If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
Thus, the rounded form of 347500 for given cases gives 348000, 350000 and 300000.
Learn more about rounding digits here:
It would be 1.5
Think as 100 as a whole number or 1
1/14 minute
1/7in=1/14min
14/7in=min
2in=min
The rate is 2 inches per minute
The unit rate for the given problem, 1/7 inch per 1/14 minute, is calculated by dividing the inches by the minutes. This simplifies to 2 inches per minute.
In mathematics, a unit rate is a rate in which the second number (or denominator) is one. When you are asked to write the rate 1/7 inch per 1/14 minute as a unit rate, you are being asked to find a rate that tells you how much of each quantity occurs for each single unit of the other quantity, in this case for 1 minute. To calculate this unit rate, divide the quantity in inches by the quantity in minutes.
In this problem, you can find the required unit rate by dividing (1/7) by (1/14), which simplifies to (1/7) * (14/1) = 2 inches. So, the unit rate for this problem is 2 inches per minute.
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