Answer:
25/6
Step-by-step explanation:
The direct variation tells you that y is proportional to x. That means a reduction by a factor of 5/6 as x changes from 6 to 5 will result in a reduction of y by the same factor.
y = (5/6)(5) = 25/6
Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
86 *2 = 172
172/3 = 57.33
54 + 56 +58 =168
168/2 =84
56 + 58 +60 = 174
174/2 =87
58 +60 +62 = 180
180/2 = 90
60 +62 +64 = 186
186/2 = 93
62 +64+66 = 192
192/2 = 96
there are 3 sets of numbers that fall between 84 & 96
1 set equals 84 and 1 set equals 96
so if you are counting those there are 5 sets
7. the last one
I = P R T
I = 15.75 P = 500 R = unknown T = 6
15.75 = 500 (r) (6)
divide the T and I
15.75 ÷ 6 = 500 (r) (6) ÷6
2.62 = 500 (r) *get rid of the six*
divide the P with new answer
2.62 ÷ 500 = 500 ÷ 500 *get rid of 500*
0.00524 = r
move decimal to make it in to a percentage
5.24% = R
