Answer:
x = -9
Step-by-step explanation:
6 - 2/9x = 8
Subtract 6 from each side
6-6 - 2/9x = 8-6
-2/9 x = 2
Multiply each side by -9/2 to isolate x
-9/2 * -2/9x = 2*-9/2
x = -9
Answer: x = 34
Step-by-step explanation:
⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6
Now resolve into fraction and convert to a linear equation
4 - x /₅ + x + 2/₃ = 6
3( 4 -x ) + 5( x + 2 )/15 = 6
3( 4 - x ) + 5( x + 2 ) = 6 x 15
12 - 3x + 5x + 10 = 90
2x + 22 = 90
2x = 90 - 22
2x = 68
x = 34
The sequence is -3, -3, +3, +3
the next number is -3
Answer:
c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
Step-by-step explanation:
Here, t = 320.00 + 0.40 b
and t = The total prices charged by Terrance for packing and moving b boxes.
s = 250.00 +0.50 b
and s = The total prices charged by Sylvester for packing and moving b boxes.
Now, to find the number of boxes, when both the prices are equal.
⇒320.00 + 0.40 b = 250.00 +0.50 b
or, 320 - 250 = 0.50 b - 0.40 b
or, 0.10 b = 70
or, b= 70/0.10 = 700
Hence, for packing and moving b = 700 boxes, both companies charge the same amount.
Now, the price charged = 320 + 0.4 (b)
= 320 + 0.4(70) = 320 + 280
= 600
or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
