Answer:

Step-by-step explanation:
The given inequality is;

Clear the fraction by multiply through by 30;

Expand;

Group like terms;


Divide through by -19 and reverse the sign.

Answer:
14.86854, or 15
Step-by-step explanation:
Answer:
6x^2+9x-6
Step-by-step explanation:
(3x+6)(2x-1)=6x^2+12x-3x-6=6x^2+9x-6
Answer:
(14400x^4)^8
Step-by-step explanation:
sqrt10 to the 4th is 10^2 or 100, and xsqrt12 to the 4th is 144x^4. Multiply these to get (14400x^4), and take the 8th to get (14400x^4)^8.
Answer:
The number of dogs that had both Lyme disease and arthritis is 18
Step-by-step explanation:
Let x represent dogs that have both Lyme disease and arthritis
Dog with only Lyme disease = 42 - x
Dog with only arthritis = 96 - x
The sum of the 3 category should give 120
x + (42 - x) + (96 - x) = 120
Collect like terms and solve
x - x - x + 42 + 96 = 120
-x + 138 = 120
138 - 120 = x
x = 18
Dog with only Lyme disease = 42 - x = 42 - 18 = 24
Dog with only arthritis = 96 - x = 96 - 18 = 78
Therefore, the number of dogs with both Lyme disease and anthritis is 18.