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 ____
.