Answer: 6, 8, 10, 12
Step-by-step explanation:
Given that x is the number, the 4 numbers would be
x, x + 2, x + 4, x + 6
so the two smallest numbers would be x and x + 2
and the two largest numbers would be x+4 and x+6
now set up an equation
x(x+2) = (x+4)(x+6) - 72
now FOIL
x^2 + 2x = x^2 + 6x + 4x + 24 - 72
combine like terms
x^2 + 2x = x^2 + 10x -48
subtract x^2 from both sides
2x = 10x - 48
subtract 2x from both sides
0 = 8x - 48
add 48 to both sides
48 = 8x
divide both sides by 8
6 = x
so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to
6, 8, 10, 12
Answer:
Step-by-step explanation:
What he did at the end of the given equations is solve for x in x + 8y= 21
x = 21 - 8y Substitute that result in the top equation.
<u><em>7(21 - 8y) + 5y = 14 </em></u> is the correct step To continue Remove the brackets
147 - 56y + 5y = 14 Combine
147 - 51y = 14 Add 51y to both sides.
147 = 51y + 14 Subtract 14 from both sides.
133 = 51y divide by 51
y = 2.61 rounded.
The incorrect step is <em><u>underlined and italicized.</u></em>
100 / 120 / 121
10 11
Hope this helps
Perimeter P=2L+2W
P=24
L=w+4
P=2(w+4)+2w
24=2w+8+2w
24=8+4w
16=4w
w=4
L=8
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