Answer:
d = 6
Step-by-step explanation:
3(2d-8)=11d-18(d-3)
6d - 24 = 11d -18d +54
6d-11d+18d = 24+54
13d = 78
d = 6
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Answer:
Other whole numbers that can be raised to a power to get 4,096 are 4, 8, 16 and 64
Step-by-step explanation:
Given;
2¹² = 4096
Other whole numbers that can be raised to a power to get 4,096 are obtained as follows;
Therefore, Other whole numbers that can be raised to a power to get 4,096 are 4, 8, 16 and 64
Answer:
The length of the rectangle is 6cm while the width is 9cm
Step-by-step explanation:
Here, we are interested in calculating the length and width of the rectangle.
Let the length of the rectangle be x cm
We are told that the length is 3 cm
less than the width, this means that the width is (x + 3) cm
The area of the rectangle is 54cm^2
Mathematically;
Area of rectangle = L * B
Thus;
x(x + 3) = 54
x^2 + 3x = 54
x^2 + 3x -54 = 0
x^2 + 9x -6x -54 = 0
x(x + 9 ) -6(x + 9) = 0
(x -6)(x + 9) = 0
x -6 = 0 or x+ 9 = 0
x = 6 or -9
Since length cannot be negative we choose x = 6cm
But width = x + 3 = 6 + 3 = 9cm
Answer:
<u>4(1 – x) + 2 x = -3( x + 1)</u>
first do 4 time 1= 4
then do 4 times x =4x
now the equation should look like this
4-4x+2x=-3(x+1)
then do the other side of the equation
-3(x+1)
=-3x-3
Now collect the like terms:
-4x-2x
now the equation should look like this
4-2x=-3x-3
now add 3x add on both sides
4-2x+3x=-3
put the 4 on the other side
-2x+3x=-3-4
now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)
x=-7
answer
x=-7
