Answer:

Step-by-step explanation:
Given expression:



Replace 900 with 30² :




(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).


Simplify:

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).
Answer:
5085
Step-by-step explanation:
price after discount is 5000- 10% of 5000 = 4500
V.A.T = 13% of 4500 = (13/100)*4500= 13*45= 585
Price after V.A.T = 4500 + 585 = 5085
Answer:
31.5 square feet of counter top
Step-by-step explanation:
x represents the number of square feet
40x + 750 = 2010 subtract 750 from both sides
40x = 1260 divide both sides by 40
x = 31.5
Answer:
<h3> 26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>
Step-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
Answer:
22
Step-by-step explanation:
10^2-9(9)+3
100-81+3
19+3
22