Asked by Rabecca

Considering the sign-up fee and monthly membership fee for a gym, the equation c = 30m + 25 can be used to represent the total cost of a gym membership for m months. What is the amount of the sign-up fee?
(1 point)
Responses

$30
$30

$25
$25

$55
$55

$5
$5
Answered by Rabecca
Which equation is equivalent to 2x + 4a = 10?
(1 point)
Responses

x equals start fraction 5 over 4 end fraction a
Image with alt text: x equals start fraction 5 over 4 end fraction a

x equals 4 plus 2 a
Image with alt text: x equals 4 plus 2 a

x equals 10 minus 4 a
Image with alt text: x equals 10 minus 4 a

x equals 5 minus 2 a
Image with alt text: x equals 5 minus 2 a
Answered by Rabecca
Which equation is equivalent to 2x + 4a = 10?
Answered by Rabecca
Name the property of real numbers illustrated by the equation.

5 plus (squre root of 15 plus 6) equals (5 plus square root of 15) plus 6
Answered by Rabecca
Name the property of real numbers illustrated by the equation.

pi ∙ 3 = 3 ∙ pi

Answered by Rabecca
Which algebraic expression models the given word phrase?

6 times the sum of a and b

Answered by Rabecca
John has $305, and he is spending $3 each day. Which algebraic expression describes this situation, where d represents the number of days?
Answered by Rabecca
You are spending $144 for new sweaters, T-shirts, and pants. Sweaters (s) cost $28, T-shirts (t) cost $14, and pants (p) cost $23, each. Which equation represents this situation?

Answered by Rabecca
Which inequality represents the following sentence?

Seven fewer than a number is at least 14.
Answered by Rabecca
Solve the absolute value equation.

|4x – 1| = 1

Answered by Rabecca
Which represents the solution to the absolute value equation?

2|x + 2| – 1 = 5

Answered by Rabecca
Solve the inequality. Graph the solution.

|2x + 7| ≤ 27
Answered by Rabecca
Write an inequality that models a real-world situation. Describe your situation and what the variable x represents.
Answered by GPT 3.5
The amount of the sign-up fee is $25.
Answered by GPT 3.5
The equation that is equivalent to 2x + 4a = 10 is x = 5 - 2a.
Answered by GPT 3.5
The equation x = 5 - 2a is equivalent to 2x + 4a = 10.
Answered by GPT 3.5
The property of real numbers illustrated by the equation is the Associative Property of Addition.
Answered by GPT 3.5
The property of real numbers illustrated by the equation is the Commutative Property of Multiplication.
Answered by GPT 3.5
The algebraic expression that models the given word phrase "6 times the sum of a and b" is written as 6(a + b).
Answered by GPT 3.5
The algebraic expression that describes this situation, where d represents the number of days, is: 305 - 3d.
Answered by GPT 3.5
The equation that represents this situation is: 28s + 14t + 23p = 144.
Answered by GPT 3.5
The inequality that represents the sentence "Seven fewer than a number is at least 14" is: x - 7 ≥ 14.
Answered by GPT 3.5
To solve the absolute value equation |4x - 1| = 1, we need to consider two cases: when 4x - 1 is positive and when it is negative.

Case 1: 4x - 1 is positive
In this case, we can remove the absolute value and set the expression inside it equal to 1: 4x - 1 = 1
Solving this equation, we get:
4x = 2
x = 1/2

Case 2: 4x - 1 is negative
In this case, we set the expression inside the absolute value equal to its negation: 4x - 1 = -1
Solving this equation, we get:
4x = 0
x = 0

So, the solutions to the equation are x = 1/2 and x = 0.
Answered by GPT 3.5
To solve the absolute value equation 2|x + 2| - 1 = 5, we can start by isolating the absolute value term and then solving for x.

First, add 1 to both sides of the equation to get rid of the -1:
2|x + 2| = 6

Next, divide both sides of the equation by 2 to isolate the absolute value:
|x + 2| = 3

Now, we can consider two cases: when x + 2 is positive and when it is negative.

Case 1: x + 2 is positive
In this case, we can remove the absolute value and set the expression inside it equal to 3: x + 2 = 3
Solving this equation, we get:
x = 1

Case 2: x + 2 is negative
In this case, we set the expression inside the absolute value equal to its negation: x + 2 = -3
Solving this equation, we get:
x = -5

So, the solutions to the equation are x = 1 and x = -5.
Answered by GPT 3.5
To solve the inequality |2x + 7| ≤ 27, we can consider two cases: when 2x + 7 is positive and when it is negative.

Case 1: 2x + 7 is positive
In this case, we can remove the absolute value and keep the expression inside it as is: 2x + 7 ≤ 27
Solving this inequality, we get:
2x ≤ 20
x ≤ 10

Case 2: 2x + 7 is negative
In this case, we set the expression inside the absolute value equal to its negation: -(2x + 7) ≤ 27
Solving this inequality, we get:
-2x - 7 ≤ 27
-2x ≤ 34
x ≥ -17

So, the solutions to the inequality are x ≤ 10 and x ≥ -17.

To graph the solution, we can plot a number line and shade the region between -17 and 10, including the endpoints, to represent the values of x that satisfy the inequality.
Answered by GPT 3.5
Inequality: 5x + 10 > 30

Description of the situation:
Alice has a part-time job at a local coffee shop. She earns $5 per hour and starts with $10 in her pocket. She wants to have at least $30 to buy a new book.

Variable x:
The variable x represents the number of hours Alice works.