1.2 < 10
Solve 5.14x+2.25>15.1 . Write the rational number in your answer in decimal form to the tenths place. Make sure to write your inequality so that x comes first.(1 point)
11 answers
x > 2.8
let me help you a bit here are the options:
A. 2.1x + 5.6 ≥ 8.75
B. 0.9x + 2.8 ≤ 5.95
C. 5.6x - 18.9 ≤ 0.7
D. 3.4x -1.2 ≥ 4.75
which answer is it??
A. 2.1x + 5.6 ≥ 8.75
B. 0.9x + 2.8 ≤ 5.95
C. 5.6x - 18.9 ≤ 0.7
D. 3.4x -1.2 ≥ 4.75
which answer is it??
To solve the inequality 5.14x + 2.25 > 15.1, we first isolate x by subtracting 2.25 from both sides:
5.14x + 2.25 - 2.25 > 15.1 - 2.25
5.14x > 12.85
Next, divide by 5.14 on both sides:
x > 12.85 / 5.14
x > 2.502
Therefore, the correct answer is:
B. 0.9x + 2.8 ≤ 5.95
5.14x + 2.25 - 2.25 > 15.1 - 2.25
5.14x > 12.85
Next, divide by 5.14 on both sides:
x > 12.85 / 5.14
x > 2.502
Therefore, the correct answer is:
B. 0.9x + 2.8 ≤ 5.95
Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first.(1 point)
To represent the situation described in the given problem, we can write the inequality:
4x - 15 > 49
This inequality states that "Fifteen less than four times a number (4x - 15) is more than 49."
To solve for x, we will add 15 to both sides of the inequality:
4x - 15 + 15 > 49 + 15
4x > 64
Then we divide by 4 on both sides to isolate x:
x > 16
Therefore, the possible values of the number are all real numbers greater than 16.
4x - 15 > 49
This inequality states that "Fifteen less than four times a number (4x - 15) is more than 49."
To solve for x, we will add 15 to both sides of the inequality:
4x - 15 + 15 > 49 + 15
4x > 64
Then we divide by 4 on both sides to isolate x:
x > 16
Therefore, the possible values of the number are all real numbers greater than 16.
Youssef is taking a trip on an airplane. He knows that to avoid extra fees his suitcase must weigh under 50 pounds. The suitcase with his clothes weighs 35 pounds. He has room, so he decides to pack some books for his trip, too. Each book weighs on average 1.2 pounds. He writes the inequality 1.2b+35<50 , where b equals the number of books, to help figure this out. Solve his inequality. Use the letter b as your variable and write your b term first. After solving the inequality, use your answer to determine how many whole books Youssef can bring on his trip.(1 point) Youssef can bring books.
To solve the inequality 1.2b + 35 < 50, we first isolate b by subtracting 35 from both sides:
1.2b + 35 - 35 < 50 - 35
1.2b < 15
Next, we divide by 1.2 on both sides to find the number of books Youssef can bring:
b < 15 / 1.2
b < 12.5
Since Youssef cannot bring a fraction of a book, he can bring a maximum of 12 whole books on his trip.
1.2b + 35 - 35 < 50 - 35
1.2b < 15
Next, we divide by 1.2 on both sides to find the number of books Youssef can bring:
b < 15 / 1.2
b < 12.5
Since Youssef cannot bring a fraction of a book, he can bring a maximum of 12 whole books on his trip.
Marjam has a goal of taking at least 10,000 steps today. According to her pedometer, she got 2,500 steps in the morning. There are 10 hours left in the day. How many steps will she need to get each hour (assume she walks the same number of steps each hour) for the rest of the day to meet her goal? Solve this problem. Which graph most clearly communicates the solution?(1 point)
options:
A. marjam's steps for the remainder of the day 750 < 900
B. marjam's steps per hour for the remainder of the day 750 < 900
C. marjam's steps per hour for the remainder of the day it has so numbers but it looks the same as 750 < 900 but lets call it x < w for now
D. marjam's steps per hour for the remainder of the day 750 < 900
options:
A. marjam's steps for the remainder of the day 750 < 900
B. marjam's steps per hour for the remainder of the day 750 < 900
C. marjam's steps per hour for the remainder of the day it has so numbers but it looks the same as 750 < 900 but lets call it x < w for now
D. marjam's steps per hour for the remainder of the day 750 < 900
First, let's calculate how many steps Marjam needs to reach her goal of at least 10,000 steps for the day.
She has already taken 2,500 steps in the morning, so she still needs:
10,000 - 2,500 = 7,500 steps
With 10 hours left in the day, she needs to distribute these 7,500 steps evenly across the remaining hours:
7,500 / 10 = 750 steps per hour
Therefore, Marjam will need to take 750 steps each hour for the remainder of the day to meet her goal.
The option to most clearly communicate the solution is:
B. Marjam's steps per hour for the remainder of the day 750 < 900
This option clearly states the steps per hour Marjam needs to achieve in order to meet her goal.
She has already taken 2,500 steps in the morning, so she still needs:
10,000 - 2,500 = 7,500 steps
With 10 hours left in the day, she needs to distribute these 7,500 steps evenly across the remaining hours:
7,500 / 10 = 750 steps per hour
Therefore, Marjam will need to take 750 steps each hour for the remainder of the day to meet her goal.
The option to most clearly communicate the solution is:
B. Marjam's steps per hour for the remainder of the day 750 < 900
This option clearly states the steps per hour Marjam needs to achieve in order to meet her goal.
25.60 < 32
Use the image to answer the question. What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number.
Use the image to answer the question. What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number.
The inequality shown in the graph can be written as:
m < 0.6
This inequality represents the values of m that are less than 0.6, as indicated by the shaded region in the graph.
m < 0.6
This inequality represents the values of m that are less than 0.6, as indicated by the shaded region in the graph.
1 answer