combine like terms: -5p > -10
divide by -5 on both sides: p > 2
Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
Answer:
irrational
Step-by-step explanation:
a rational number is always a whole number
Answer:
7. 5
pizza
8. B
9. 11
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3
+ 2 
make them mixed fractions:
+ 
get a common denominator by multiplying
by 4:
+ 
add the numerators: 
simplify the fraction by dividing 45 by 8: 5 
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1
: 11 
L = 11
inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5: 
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
Answer:
D
Step-by-step explanation: