D is subset of Z, so D∩Z=D. hope it helps.
Answer:
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Step-by-step explanation:
Let one of the numbers be x,
Then the two numbers are x and x +1
And,
x+x+1 = 53
2x = 53 - 1 (Transposing 1 from LHS to RHS)
2x = 52
x = 52/2
x = 26
x + 1 = 27
So, The two numbers are 26 and 27.
Answer:
42.3
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Answer: The best estimate for the amount of money she saves to buy clothes = $ 562.5
Step-by-step explanation:
Given: Breanna saves 75% of her earnings to buy new school clothes.
Earnings for Breanna = $ 750
The amount of money she saves to buy clothes = 75% of 750
= 0.75 x 750 [75%= 0.75]
= $ 562.5
Hence, the best estimate for the amount of money she saves to buy clothes = $ 562.5
Answer:
-499,485.
Step-by-step explanation:
We can transform this to an arithmetic series by working it out in pairs:
6^2 - 7^2 = (6-7)(6+7) = -13
8^2 - 9^2 = (8-9)*8+9) = -17
10^2 - 11^2 = -1 * 21 = -21 and so on
The common difference is -4.
The number of terms in this series is (998 - 6) / 2 + 1
= 992/2 + 1 = 497.
Sum of n terms of an A.S:
= n/2 [2a1 + (n - 1)d
Here a1 = -13, n = 497, d = -4:
Sum = (497/2)[-26 - 4(497-1)]
= 497/2 * -2010
= -499,485.