Answer:
during intesrt amrkets
Step-by-step explanation:
Answer:
Commutative
Step-by-step explanation:
2 + 4 = 4 + 2 as an example
Answer:
x = 3 , y = 13
Step-by-step explanation:
Note that both equations is equal to y. Set the two equations equal to each other
y = 7x - 8; y = 5x - 2
7x - 8 = y = 5x - 2
7x - 8 = 5x - 2
Isolate the x. Subtract 5x and add 8 to both sides
7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)
7x - 5x = -2 + 8
Simplify.
(7x - 5x) = (-2 + 8)
2x = 6
Isolate the x. Divide 2 from both sides
(2x)/2 = (6)/2
x = 6/2
x = 3
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Plug in 3 for x in one of the equations.
y = 7x - 8
y = 7(3) - 8
Simplify. Remember to follow PEMDAS.
y = 7(3) - 8
y = 21 - 8
y = 13
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x = 3, y = 13 is your answer
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A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer: 1. 57
2. 43
3. 20
4. 32
5. 16
Step-by-step explanation: am here to help
