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?
A.
his monthly base salary in dollars
B.
the amount of his monthly sales in dollars
C.
his total monthly pay in dollars
D.
his monthly commission in dollars
A. his monthly base salary in dollars
Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11? A. x=(y/11 ) -5 B. x=y+11/5 C.y-11/5 D. x=(y/5) +11
To write the equation y=5x-11 in terms of x, we need to isolate x on one side of the equation.
First, we can add 11 to both sides of the equation:
y + 11 = 5x.
Then, we can divide both sides of the equation by 5:
(y + 11)/5 = x.
So, the equivalent equation in terms of x is:
x = (y + 11)/5.
Therefore, the correct answer is:
A. 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.
A.
1.30x=6.50
B.
1.30+x=6.50
C.
1.30/6.50=x
D.
6.50x=1.30
To solve the problem, we need to set up an equation. Since the cost of the peaches is $1.30 per pound and Charity has $6.50 to spend, we can set up the equation:
1.30x = 6.50
So, the correct answer is:
A. 1.30x = 6.50
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?
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
To find the last step in solving the equation, we need to identify the final operation used to isolate the variable x.
From Step 4: 3x - 4x = -6, we have obtained -x = -6.
To isolate x, we need to perform division.
Therefore, the last step is:
C. Divide both sides by -1 to get x = (-6).
What determines an object's kinetic energy?
a
weight and speed
b
mass and position
c
mass and speed
d
weight and position
c
mass and speed
To determine what the value of 2,000 represents, let's analyze the given information. We're told that the salesman makes a total of 2,000 + 0.1s dollars each month, where s represents the total sales in dollars.
Since the value of 2,000 is added to 0.1s, it is not the monthly base salary, which rules out option A.
Similarly, since the value of 2,000 is not multiplied by s or any other term, it is also not the amount of monthly sales, ruling out option B.
Now, let's consider option C - his total monthly pay. Since the given expression 2,000 + 0.1s represents the total amount the salesman makes each month, it covers his base salary as well as the commission earned from his sales. This indicates that option C is the correct answer.
Finally, option D states that 2,000 represents his monthly commission in dollars. However, the expression 2,000 + 0.1s represents his total monthly pay, which includes both the base salary and commission. Therefore, option D is incorrect.
In conclusion, the value of 2,000 in the given expression represents the salesman's total monthly pay in dollars, which is option C.