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Genrish500 [490]
3 years ago
10

Four whole numbers have been rounded to the nearest 10. The sum of the 4 rounded numbers 90. What is the maximum sum of the 4 or

iginal numbers ?
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

965 is the answer

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1.Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all work fo
damaskus [11]
1. Start with y=sx+m and input the slope of the line given, because the two lines are parallel they have the same slope. Then input the X and Y coordinates of point X to get 10=-1/2-5+m and finally solve the equation to get m=-7.5 or -15/2 making slope intercept form Y=-1/2-5-15/2 
2. Follow the same instructions imputing 1/2 in as the slope because it is perpendicular to the line. so you get 10=1/2-5+m. solve to get m=7.5 or 15/2 making the final equation Y=1/2X+15/2
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3 years ago
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Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ
Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

3 0
3 years ago
B Given: m AB =m BC , m∠x=60°, m∠y=15° Find: m AC
MArishka [77]

Answer:

105

Step-by-step explanation:

because all the angles added up have to = 180

60+15=75

75-180=105

3 0
3 years ago
How many times does 5 go into 100
Rasek [7]
<span>I believe in this item, we are asked to determine how many 5's should be added together in order to form 100. This is calculated by dividing 100 by 5. The answer by completing the operation would be equal to 20. Hence, the answer is 20. </span>
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3 years ago
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dalvyx [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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