Answer:
When a number is divided by 5 and the result is 247 with a remainder, one possible dividend is 1236.
The quotient of a number is the number that is gotten when a number is divided by another number. For example, the quotient of 10 and 2 is 5.
An unknown number was divided by 5 and the result was 247 with a remainder. In order to determine the number the first step is to determine the product of 247 and 5.
247 x 5 = 1235
Since the number has a remainder, the number cannot be exactly 1235. The number would lie between 1235 and 1240. The numbers can be 1236, 1237, 1238 and 1239.
The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
<h3>What are products?</h3>
Quotients are result derived from the multiplication of two rational or integers. Given the expression
2.28 × 5.59
Convert to fraction
2.28 × 5.59 = 228/100 ÷ 559/100
2.28 × 5.59= 127452/10000
2.28 × 5.59= 12.75
Hence the quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
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Answer:
C
Step-by-step explanation
This has a factor of 6% or 0.06. But, you are adding and not subtracting so it is 1.06. ( If you multiply by a number less than 1 then it is actually dividing) So C is the only on that is correct.
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.
A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'
B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)
C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)
D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n
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* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.
The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
Answer:
Original garden: 42 feet
Enlarged garden: 98 feet
Step-by-step explanation:
Perimeter = length (2) + width (2)
<u>Original perimeter:</u>
P = 15(2) + 6(2)
P = 30 + 12
P = 42 feet
In this problem, similar is proportional, so the new garden will be proportional to the old one.
If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).
<u>Enlarged perimeter</u>
P = 35(2) + 14(2)
P = 70 + 28
P = 98 feet
