Solve the two inequalities.
3.5x-10>-3
3.5x>7
x>2
8x-9<39
8x<48
x<6
Hope it helped!
Answer:
x = amount of pure acid to be added = 6.67ml
Step-by-step explanation:
George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?
let
x = amount of pure acid to be added
15% of 50 + x = 25% of 50 + x
(0.15 * 50) + x = 0.25(50 + x)
7.5 + x = 12.5 + 0.25x
Collect like terms
x - 0.25x = 12.5 - 7.5
0.75x = 5
x = 5/0.75
x = 6.6666666666666
Approximately,
x = 6.67
x = amount of pure acid to be added = 6.67ml
Answer:
y = 3x^2 + 12x + 8
Step-by-step explanation:
To rewrite in standard from by expanding the equation using the distributive property.
y= 3 (x+2)^2 - 4
y = 3(x^2 + 4x + 4) - 4
y = 3x^2 + 12x + 12 - 4
y = 3x^2 + 12x + 8
Answer: d + 0.055d or 1.055d
Step-by-step explanation:
Cost of item = d
Sales tax percent = 5.5%
Total cost = Cost of item + Sales tax
= d + (5.5% × d)
= d + (5.5/100 × d)
= d + (0.055 × d)
= d + 0.055d
= 1.055d
Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:
d + 0.055d or 1.055d.
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = 
= 
= 
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = 
≈ 14. 4 ( to 3 sig. figs )
