Answer:
x = 13.444 ... (repeating decimal) or;
x = 13 4/9
Step-by-step explanation:
-0.65 + 0.45x = 5.4
First we will add 0.65 to each 'side' of the equation.
0.65 + (-0.65) + 0.45x = 0.65 + 5.4
0.65 + (-0.65) = 0
0.65 + 5.4 = 6.05
Input the numbers, and now the equation looks like this:
0 + 0.45x = 6.05
Remove the zero:
0.45x = 6.05
Divide each 'side' by 0.45.
0.45x ÷ 0.45 = 6.05 ÷ 0.45
0.45x ÷ 0.45 = 1x = x
6.05 ÷ 0.45 = 13.444 ... repeating decimal
Input the numbers, and now the equation looks like this:
x = 13.444 ... repeating decimal
We can also write this as:
x = 13 4/9 in fraction form
Answer:



Step-by-step explanation:
-
Answer:
A. 
B. 
Step-by-step explanation:
A. 
Where,


Plug in the values to get a polynomial that represents the area of the tool




B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.





Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
Answer:
-33
Step-by-step explanation:
The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.
The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33