Question

A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2,000 + 0.1s dollars. What does 2,000 represent?

Answer 1

[AI-generated answer — Bot GPT 3.5]

2,000 represents the salesman's base salary.

Answer 2

The value of a baseball card in dollars has been found to be 0.15y + 0.35, where y is the number of years since it was released. By how much is the baseball card's value increasing per year?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The baseball card's value is increasing by 0.15 dollars per year.

Answer 4

Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To manipulate the equation y=5x-11 so that it is written in terms of x, we can isolate x by adding 11 to both sides and then dividing both sides by 5.

Adding 11 to both sides:
y + 11 = 5x - 11 + 11
y + 11 = 5x

Dividing both sides by 5:
(y + 11)/5 = (5x)/5
(y + 11)/5 = x

Therefore, the equivalent equation to y=5x-11 in terms of x is x = (y + 11)/5.

Answer 6

Charity is buying peaches at the store. The cost of the peaches are $1.30 per pound. If she has $6.50 to spend on peaches, how many pounds (x) can she buy?

Set up an equation to solve the problem.

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let x represent the number of pounds of peaches Charity can buy. The cost of the peaches is $1.30 per pound.

The equation to solve the problem can be set up as follows:

1.30x = 6.50

In this equation, 1.30 represents the cost per pound, x represents the number of pounds, and 6.50 represents the amount Charity can spend.

To find the value of x, we can divide both sides of the equation by 1.30:

1.30x/1.30 = 6.50/1.30

This simplifies to:

x = 5

Therefore, Charity can buy 5 pounds of peaches with $6.50.

Answer 8

A. 1.30x=6.50

B. 1.30+x=6.50
C. 1.30/6.50=x
D. 6.50x=1.30

Answer 9

[AI-generated answer — Bot GPT 3.5]

A. 1.30x=6.50 is the correct equation to set up in order to solve the problem.

Answer 10

A student solved an equation, as shown below.

The first line shows 1/4(8 - 12x ) right parenthesis equals x minus 2 left parenthesis 2x plus 1 right parenthesis, second line shows 2 minus 3x equals x minus 4x plus 2, third line shows 2 minus 3x equals 3x plus 2, fourth line shows 2 minus 3x plus 3x equals negative 3x plus 3x plus 2. Fifth line shows 2 equals 2.

Based on the student's work, complete the statement below.

Use the drop-down menus to make the statement below true.

The student solved the equation ____ ​
because the original equation has ​____
.

Answer 11

[AI-generated answer — Bot GPT 3.5]

The student solved the equation correctly because the original equation has been simplified and the final equation obtained is 2 equals 2.

Answer 12

how many solutions does it have?

Answer 13

[AI-generated answer — Bot GPT 3.5]

The equation 2 equals 2 has infinitely many solutions.

Answer 14

Jackson solved the problem 3x-8=2(2x-7) using the following steps:

STEP 1: Use Distributive Property to get 3x-8=4x-14
STEP 2: Use Addition Property of Equality to get 3x = 4x-14+8
STEP 3: Combine Like Terms to get 3x = 4x-6
STEP 4: Use Subtraction Property of Equality to get 3x-4x= -6
STEP 5: Combine Like Terms to get (-x)=-6
What is the last step?

Answer 15

[AI-generated answer — Bot GPT 3.5]

The last step in Jackson's solution would be to divide both sides of the equation by -1, in order to solve for x and obtain the final solution. However, this step seems to be missing in the given sequence of steps.

Answer 16

A.

Use Property of Equality to get x= (-6)
B.
Divide both sides by -1 to get x=6
C.
Divide both sides by -1 to get x= (-6)
D.
Use Multiplication Property of Equality to get x=6

Answer 17

[AI-generated answer — Bot GPT 3.5]

B.

Divide both sides by -1 to get x=6

Answer 18

this is a ​____ relationship. The y-intercept is ​______and the slope is ​______. The equation of the line is slope-intercept form is ​______.

Answer 19

[AI-generated answer — Bot GPT 3.5]

This is a linear relationship. The y-intercept is (0, b), where b is the y-intercept value. The slope is m. The equation of the line in slope-intercept form is y = mx + b.

Answer 20

A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair.

y - 45x + 75

What is the meaning of the initial amount for the equation?

Answer 21

[AI-generated answer — Bot GPT 3.5]

The initial amount for the equation, which is represented by 75, is the fixed amount that the computer technician charges for a repair. It is the amount that the technician charges irrespective of the number of hours spent on the repair.

Answer 22

A.

It means the technician charges $45 per hour for the repair.

B.
It means the technician charges a fixed amount of $45 for the repair.

C.
It means the technician charges a fixed amount of $75 for the repair.

D.
It means the technician charges $75 per hour for the repair.

Answer 23

[AI-generated answer — Bot GPT 3.5]

B.

It means the technician charges a fixed amount of $45 for the repair.

Answer 24

What is the first step to solve the inequality x-5< x/6

Answer 25

[AI-generated answer — Bot GPT 3.5]

To solve the inequality x-5 < x/6, the first step is to eliminate the denominator by multiplying both sides of the inequality by 6.