Hey there!
2(x - 3) / y = 5
2(x - 3) / 5 = 5
2(x) + 2(-3) / 5 = 5
(2x - 6) 5 = 5
MULTPLY 5 to BOTH SIDES
(2x - 6)/5 * 5 = 5 * 5
SIMPLIFY IT!
2x - 6 = 5 * 5
2x - 6 = 25
ADD 6 to BOTH SIDES
2x - 6 + 6 = 25 + 6
SIMPLIFY IT!
2x = 25 + 6
2x = 31
DIVIDE 2 to BOTH SIDES
2x/2 = 31/2
SIMPLIFY IT!
x = 31/2
x = 15 1/2
Therefore, the answer should be:
x = 15 1/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
The slope of the linear equation will be 60 and the point on the line will be (6,1250).
R - 1250 = 60(y - 6)
Step-by-step explanation:
An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.
Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).
Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be
R - 1250 = 60(y - 6) (Answer)
You should know that:
(a+b)(a+b)(a+b)
=a(a+b)(a+b)+b(a+b)(a+b)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+a²b+2ab²+b³
=a³+3a²b+3ab²+b³
-----------------
If a=5x and b=-4y
(5x+(-4y))³
=(5x-4y)³
=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³
=125x³+3(25x²)(-4y)+15x(16y²)-64y³
=125x³+75x²(-4y)+240xy²-64y³
=125x³-300x²y+240xy²-64y³
Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
