The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?(1 point) Responses 13n+4.5≤38.9, where n is equal to the number. Start Fraction 1 over 3 end fraction n plus 4.5 less than or equal to 38.9 , where n is equal to the number. 4.5+13+n≤38.9, where n is equal to the number. 4.5 plus Start Fraction 1 over 3 end fraction plus n less than or equal to 38.9 , where n is equal to the number. 13n+4.5≥38.9, where n is equal to the number. Start Fraction 1 over 3 end fraction n plus 4.5 greater than or equal to 38.9 , where n is equal to the number. 13n+4.5=38.9, where n is equal to the number. Start Fraction 1 over 3 end fraction n plus 4.5 equals 38.9 , where n is equal to the number.

The correct inequality that could be used to solve this problem is:

1/3n + 4.5 ≤ 38.9, where n is equal to the number.

The library needs at least 15 people to sign up for an event in order to run it. Currently, 3 people have signed up, and the library expects 2 more people to sign up each day. After how many days will the library be sure it can run the event? Write an inequality that could be used to solve this problem.(1 point) Responses 2d+3≥15, where d is the number of days. 2 d plus 3 greater than or equal to 15 , where d is the number of days. 2d+3≤15, where d is the number of days. 2 d plus 3 less than or equal to 15 , where d is the number of days. 3d+2≤15, where d is the number of days. 3 d plus 2 less than or equal to 15 , where d is the number of days. 3d+2≥15, where d is the number of days.

The correct inequality that could be used to solve this problem is:

2d + 3 ≥ 15, where d is the number of days.

The sum of 4.6 and one-third a number is equal to at most 39.1. What are all the possible values of the number? Artem wrote the inequality 13n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤131.1 n less than or equal to 131.1 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5 n≤103.5 n less than or equal to 103.5

To solve the inequality 13n + 4.6 ≤ 39.1:

Subtract 4.6 from both sides of the equation:
13n ≤ 34.5

Divide both sides of the equation by 13:
n ≤ 2.65

Therefore, the possible values of the number are n ≤ 2.65 or n less than or equal to 2.65.

Twelve less than four-fifths of a number is more than 24. What are all the possible values of the number? Lucia wrote the inequality 45n−12>24 , where n equals the number, to help solve this problem. Solve her inequality.(1 point)

To solve the inequality 45n - 12 > 24:

Add 12 to both sides of the equation:
45n > 36

Divide both sides of the equation by 45:
n > 36/45

Simplify the right side:
n > 4/5

Therefore, the possible values of the number are n > 4/5 or n is greater than 4/5.

Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Ellie writes the inequality 10w+213≥299 , where w is the number of weeks, to help figure this out. Solve her inequality.(1 point)

To solve the inequality 10w + 213 ≥ 299:

Subtract 213 from both sides of the equation:
10w ≥ 86

Divide both sides of the equation by 10:
w ≥ 8.6

Since w represents the number of weeks and it cannot be a decimal, we round it up to the nearest whole number:
w ≥ 9

Therefore, Ellie will have enough money saved after at least 9 weeks.