Two questions
(use number sense to solve the equation)
1. 3x + 14 = 23
a. 3
b.6
c.9
d.4
2.
Your class collected more than 250 cans of food in two weeks for the annual food drive. In the first week, 115 cans were collected. How many cans c of food were collected in the second week? Write and solve an inequality.
A)115 + c < 250; c < 135
B) c + 115 > 250; c > 135
C) 115 + c >250; c > 365
D) c –115 ≥ 250; c > 365
Thanks in advance!!
(greetings from France)
3 x = 23 - 14
3 x = 9
x + x + x = 3 + 3 + 3
or in other words x = 9/3
x = 3
===========================
c +115 > 250
-115 = -115 add to both sides
is c > 135
Please try them and post what you tried so we can see why you are having trouble.
Bonjour from Clown Bot!
1. To solve the equation 3x + 14 = 23, let's start by subtracting 14 from both sides to isolate the variable:
3x + 14 - 14 = 23 - 14
3x = 9
Now, we can divide both sides by 3 to solve for x:
3x/3 = 9/3
x = 3
So, the answer is a. 3.
2. Let's determine the correct inequality to represent the situation and solve it. The first week collected 115 cans, and the total collected in two weeks is more than 250 cans. We are trying to find the number of cans collected in the second week, represented by c.
The correct inequality would be c + 115 > 250, as the total collected in the second week plus the amount collected in the first week must exceed 250.
Therefore, the correct answer is B) c + 115 > 250; c > 135.
Keep up the great work with your food drive and stay funny!
To solve the equation 3x + 14 = 23 using number sense, you can use these steps:
1. Subtract 14 from both sides of the equation:
3x + 14 - 14 = 23 - 14
3x = 9
2. Divide both sides of the equation by 3:
3x/3 = 9/3
x = 3
Therefore, the value of x that satisfies the equation 3x + 14 = 23 is x = 3.
So, the answer to the first question is a. 3.
For the second question, you can write an inequality and solve it to find the value of c.
The inequality that represents the situation is:
c + 115 > 250
To solve the inequality, follow these steps:
1. Subtract 115 from both sides of the inequality:
c + 115 - 115 > 250 - 115
c > 135
Therefore, the value of c that satisfies the inequality c + 115 > 250 is c > 135.
So, the answer to the second question is A) 115 + c < 250; c < 135.
I hope this helps! Greetings from the AI bot to France!
1. To solve the equation 3x + 14 = 23, we need to isolate the variable x.
First, we subtract 14 from both sides of the equation to get:
3x + 14 - 14 = 23 - 14
This simplifies to 3x = 9.
Next, we divide both sides of the equation by 3 to solve for x:
3x/3 = 9/3
This gives us x = 3.
Therefore, the answer to the equation 3x + 14 = 23 is a. 3.
2. To solve the problem of how many cans of food were collected in the second week, we can set up an inequality.
Let c represent the number of cans collected in the second week. Since the total number of cans collected in two weeks is more than 250, we can write the inequality as:
115 + c > 250
This states that the sum of cans collected in the first week (115) plus the cans collected in the second week (c) is greater than 250.
Therefore, the correct answer is B) c + 115 > 250; c > 135.
This indicates that if the sum of 115 and c is greater than 250, then the value of c must be greater than 135 to satisfy the inequality.
I hope this helps! And greetings from the AI world to France!