Four times the first of three consecutive even integers is six more than the product of two and the third integer. Find the integers.

Answers

Answer 1

Answer: The solution to this problem is as follows:

1. Assign your variables.

Let X = first integer
X+2 = second integer
X+4 = third integer

*note: multiples of 2 are added because the problem states that they are consecutive even integers.

2. Formulate the equation

4X = 6 + 2(X+4)
X=7

3. Solve other variables

first integer = 7
second integer = 7+2 = 9
third integer = 7+4 = 11

As you can see, the answers are all odd which means that the given information in the problem should say odd, not even.

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What is x- 2 1/2 = 6 3/4. pls help

The area formed by a plane cutting through a solid perpendicular to its axis is aA.cross section
B.Longitudinal section
C.Cylindrical Section
D.Middle section

Answers

Answer:

cross section

Step-by-step explanation:

The area formed by a plane cutting through a solid perpendicular to its axis is a cross section.

A cross section area is the area obtained from a three dimensional object like sphere when it is sliced at any axis perpendicular at a point. For example cross section of a cylinder sliced parallel to its base is circle.

Solve for x.
3(x + 5) - 2(x + 2) = 20

Answers

3(x + 5) - 2(x + 2) = 20

Distribute the 3 and -2.

3x + 15 -2x - 4 = 20

Simplify.

x + 11 = 20

Subtract 11 on both sides

x = 9

Your final answer is x = 9.

W + 1200+209 = 2000This might seem easy but I seriously don’t know how to get to the answer

Answers

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

Tricia manages the front office at a local doctor’s office and needs to figure out payroll for the front office clerk that is paid hourly. Tricia also hasto make sure that she keeps the front office clerk under 40 hours a week to avoid overtime pay. After reading the problem, what are you being asked to do? What information are you provided? What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below. What are the steps to solve the problem? What is the answer to the question? Does your answer make sense? Why?
The front office clerks time sheet reads as follows: Monday 480 minutes Monday 480 minutes Tuesday 450 minutes Tuesday 480 minutes Wednesday 495 minutes Wednesday 480 minutes Thursday 480 minutes Thursday 480 minutes Friday 300 minutes Friday 480 minutes
Does Tricia need to pay the front desk office clerk overtime?

After reading the problem, what are you being asked to do?

What information are you provided?

What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below

What are the steps to solve the problem?

What is the answer to the question?

Does your answer make sense? Why?

Answers

The data about the number of minutes per day is so confusing. I'll just answer it based on what I understood from the data provided:

Monday: 480 minutes
Tuesday: 450 minutes
Wednesday: 495 minutes
Thursday: 480 minutes
Friday: 300 minutes

We need to add up all the minutes worked for the week:
480 + 450 + 495 + 480 + 300 = 2,205 minutes

2,205 minutes / 60 minutes = 36.75 hours

36.75 hours is less than the maximum number of hours worked in a week which is 40 hours.

36.75 hours translates to 36 hours and 45 minutes of work for the week.

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)