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?
2,000 represents the salesman's base salary.
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?
The baseball card's value is increasing by 0.15 dollars per year.
Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?
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.
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.
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.
A. 1.30x=6.50
B. 1.30+x=6.50
C. 1.30/6.50=x
D. 6.50x=1.30
A. 1.30x=6.50 is the correct equation to set up in order to solve the problem.
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 ____
.
The student solved the equation correctly because the original equation has been simplified and the final equation obtained is 2 equals 2.
how many solutions does it have?
The equation 2 equals 2 has infinitely many solutions.
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?
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.
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
B.
Divide both sides by -1 to get x=6
this is a ____ relationship. The y-intercept is ______and the slope is ______. The equation of the line is slope-intercept form is ______.
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.
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?
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.
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.
B.
It means the technician charges a fixed amount of $45 for the repair.