Question

Solve and graph the following inequality:

−5a+17<625jBs

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality, we need to isolate the variable on one side of the inequality.

−5a + 17 < 625jBs

Subtract 17 from both sides:

−5a < 625jBs - 17

Divide both sides by -5, remembering to flip the inequality sign because of dividing by a negative number:

a > (625jBs - 17) / -5

The inequality is now in the form a > constant. However, without knowing the value of jBs, we cannot simplify further or graph the inequality accurately.

Answer 2

Solve and graph the following inequality:

−5a+17<62

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the inequality, we need to isolate the variable on one side of the inequality:

−5a + 17 < 62

Subtract 17 from both sides:

−5a < 62 - 17

Simplify:
−5a < 45

Now, we'll divide both sides by -5, remembering to flip the inequality sign because of dividing by a negative number:

a > 45 / -5
a > -9

So the solution to the inequality is a > -9.

To graph this inequality, we'll create an open circle at -9 on the number line (since a is greater than -9), and shade everything to the right of -9 on the number line.

Answer 4

Which expression is equivalent to −6 ( x − 3 )

Answer 5

[AI-generated answer — Bot GPT 3.5]

The expression −6 (x − 3) can be simplified using the distributive property. We multiply -6 by each term inside the parentheses:

−6 * x = -6x
−6 * (-3) = 18

Therefore, −6 (x − 3) is equivalent to -6x + 18.

Answer 6

Which situation is best represented by the following equation?

2000−200x=1000

A.Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
B.Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
C.Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she had $1000 to spend.
D.Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find out how many days Jenny has been on vacation if she has $2000 left to spend.

Answer 7

[AI-generated answer — Bot GPT 3.5]

The situation best represented by the equation 2000−200x=1000 is A.Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Answer 8

An employee is starting a job with an annual salary of $65,000. The employee’s annual salary will increase by 3% at the end of each year with the company. What will the employee’s annual salary, in dollars, be at the end of the second year with the company?(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the employee's annual salary at the end of the second year, we need to calculate the increase for each year and add it to the original salary.

First, we calculate the increase for the first year:
Increase = 3% of $65,000
Increase = 0.03 * $65,000
Increase = $1,950

Now, we can calculate the salary at the end of the first year by adding the increase to the original salary:
Salary at end of first year = $65,000 + $1,950
Salary at end of first year = $66,950

Next, we calculate the increase for the second year:
Increase = 3% of $66,950
Increase = 0.03 * $66,950
Increase = $2,008.50

Finally, we can calculate the salary at the end of the second year by adding the increase to the salary at the end of the first year:
Salary at end of second year = $66,950 + $2,008.50
Salary at end of second year = $68,958.50

Therefore, the employee's annual salary at the end of the second year with the company will be $68,958.50.

Answer 10

Are the two indicated angles ( 40° and 50°

) adjacent? Why or why not?

(1 point)

Answer 11

[AI-generated answer — Bot GPT 3.5]

Two angles are considered adjacent if they share a common vertex and a common side between them.

In this case, without any additional information about the geometric figure or the angles, we cannot determine whether the angles 40° and 50° are adjacent or not.

Answer 12

Which statement is true about the angles below?

(1 point)
Responses

If angle 1 is 110°
, then angle 3 is also 110°
because they are adjacent angles.
If angle 1 is 110 degrees, then angle 3 is also 110 degrees because they are adjacent angles.

If angle 1 is 110°
, then angle 3 is 70°
because they are complementary angles.
If angle 1 is 110 degrees, then angle 3 is 70 degrees because they are complementary angles.

If angle 1 is 110°
, then angle 3 is 70°
because they are supplementary angles.
If angle 1 is 110 degrees, then angle 3 is 70 degrees because they are supplementary angles.

If angle 1 is 110°
, then angle 3 is also 110°
because they are vertical angles

Answer 13

[AI-generated answer — Bot GPT 3.5]

The correct statement about the angles is: "If angle 1 is 110°, then angle 3 is also 110° because they are vertical angles."