12:45. Quarter past twelve is 15 minutes and 15 + 30 = 45. Hence, you get 12:45 as your time.
Answer:
The maximum number of text messages you can send per month would be 41.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.12, so that would need a variable since it can change each month. You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.12x+24.99≤30 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.12x≤5.01
3. Now, divide each side by 0.12. Now your inequality is x≤41.75. This represents how many text messages you can send per month without going over 30.
4. Finally, you have to realize that is impossible to send exactly 41.75 text messages. So, you have to round down to 41 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
Answer: 10 m/s
Step-by-step explanation:
Given
Momentum of boy 
Mass of boy is 
Momentum is the product of mass and velocity

Substitute value

Thus, the boy is moving with a velocity of 10 m/s
Answer:
n > 4
Step-by-step explanation:
3n - 7 > <u>n</u> + 1
Move variable to the left side and change its sign
3n <u>- </u><u>n</u> - 7 > 1
...
3n <u>- </u><u>7</u> > n + 1
Move constant to the right side and change its sign
3n - n > 1 <u>+ </u><u>7</u>
...
<u>3</u><u>n - n</u> > 1 + 7
Collect the like terms
<u>2</u><u>n</u> < 1 + 7
...
3n - n > <u>1</u><u> + </u><u>7</u>
Add the numbers
2n < <u>8</u>
Divide both sides of the inequality by 2
Solution:
<u>n </u><u>></u><u> </u><u>4</u><u> </u> Answer:
n < 2
Step-by-step explanation:
4n - 5 < <u>3n</u> - 3
Move variable to the left side and change its sign
4n <u>- 3n</u> - 5 < - 3
...
4n <u>- 5</u> < 3n -3
Move constant to the right side and change its sign
4n - 3n < - 3 <u>+ 5</u>
...
<u>4n - 3n</u> < - 3 + 5
Collect the like terms
<u>n</u> < - 3 + 5
...
4n - 3n < <u>- 3 + 5</u>
Calculate the sum
n < <u>2</u>
...
Solution:
<u>n < 2</u>
Answer:
divided by 3 12/30 = 4/10 = 2/5
Step-by-step explanation: