Answer: Hello there!
The equation is: 42x - 5
That can be phrased as "the difference between 42 times a number x and 5"
And we want to write a story that matches this.
an example can be:
Suppose that Jon craft musical instruments and he sells them in the beach, then you could write:
"The revenue in a day for Jon is equal to $42 for each instrument that he sells, less a 5 dollar fee that he needs to pay every day"
where the number of instruments would be x.
Consider the expression −2 + 5a + b + 2a − 5b.
Which term can be combined with 5a because they are like terms?
–2
b
2a
–5b
Answer:
2a is the answer
Step-by-step explanation:
Translate the phrase into a numerical expression.
1. seven multiplied by three
2. twice the opposite of eleven
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.
The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:
Simple Interest = Principal * Rate * Time
where Rate is the interest rate as a decimal, and Time is the time period in years.
We can rearrange this formula to solve for the Principal:
Principal = Simple Interest / (Rate * Time)
In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:
Simple Interest = $3000
Rate = 0.06
Time = 5 years
Plugging these values into the formula, we get:
Principal = $3000 / (0.06 * 5) = $10,000
Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14
Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
Find an upper limit for the zeros of 2 x4 - 7 x3 + 4 x2 + 7 x - 6 = 0
The upper limit for the zeros of the given equation is x=32.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]
Step 1: First we have to Factor the left side of the equation.
(x+1)(x−1)(x−2)(2x−3)=0
Then Set factors equal to 0.
x+1=0
x−1=0
or x−2=0
2x−3=0x=−1
x=1 or x=2 or x=32
Therefore, x =−1 or x=1 or x=2 or x=32
The upper limit for the zeros of the given equation is x=32.
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If a student received a score of 75% on a text in which 96 questions were answered correctly, how many questions were on the test?
Final answer:
To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.
Explanation:
To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:
75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128
Therefore, there were 128 questions on the test.
What is 5 meters every 2 seconds as a unit rate
Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
Answer:
The answer Is 1
Step-by-step explanation:
Got it right trust me
Jack leaves the caves and runs directly north for 9 miles. He then turns and runs 12 miles east. How many miles is he from the caves?
Amy is a software saleswoman. Her base salary is 2300, and she makes and an additional $80 for every copy of English is fun she sells. Let p represent her total pay ( in dollars ), and let N represent the number of copies of English is fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 21 copies of English is fun
1/6 ÷4/7=?please help I don't understand this
Why is indirect compensation important to recruiting and retaining employees?
Indirect compensation is significant for retaining employees as it creates job security, motivates productivity, and reduces costs of recruitment and training. It also plays a role in managing modern workforce, which requires a more flexible and multi-faceted approach to retain.
Explanation:Indirect compensation is important for recruiting and retaining employees in several ways. One of them is that it often works under an implicit contract, where the employer tries to maintain wages even when the economy or the business is not doing well, providing a form of protection for the employees. This implicit contract can make workers feel secure and motivated, hence improving productivity and reducing the likelihood of them leaving the firm.
Moreover, retaining employees from more modern generations can be more challenging since their expectations differ from those of previous generations; they tend to lack inherent company loyalty, hence, frequent rewards, praises, and feedback are essential. On the other hand, the efficiency wage theory argues that better pay results in higher productivity since the employees are motivated to work harder to maintain their current job because they realize that they could suffer a wage cut if they were to lose it.
Lastly, to avoid the costly and time-consuming endeavor of hiring and training new employees, employers often find it advantageous to pay a little more to the existing ones, a strategy that not only minimizes costs but also retains skilled and motivated employees.
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Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution
3(x-4)<-15 solve for x
Find the eleventh term of the last term of A.P.
27,23,19,.....-65.
I don't understand how to do this problem.
Ms shoe kept 2 meatballs to herself then divided the others equally among her 14 children if each child got 5 meatballs how many did ms shoe have to begin with?
At 9:54
a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse took the patient's temperature again and found it was 105.8 degrees, the highest ever recorded. How long did it take for the patient's temperature to reach this record high?
It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.
Explanation:The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.
Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).
So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.
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I need help with 34 and 35. Thanks
What did the point say to the segment
Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:
LinePlaneCollinearCoplanarFigure E is a point, while figure F is a ray
I've added as an attachment, the complete question.
A. Two points
When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA
B. Three points
A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.
C. Points on the same line
When there are more than one points on a line, such points are said to be collinear.
D. Points on the same plane
When there are more than one points in a plane, such points are said to be coplanar.
E. & F
A point is represented with a dot; So, the figure in (E) is a point.
A ray has one endpoint and an arrow at the other end. So, AB is a ray.
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Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
simplify -52 + 8|-1| + (-3)
How many lateral faces does a triangular pyramid have
The number of lateral faces for a triangular pyramid is 3.
Given data:
Let the number of lateral faces for a triangular pyramid be A.
Now, A triangular pyramid has 3 lateral faces.
Each of these lateral faces is a triangle.
The base of the pyramid is not considered a lateral face.
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
Hence, the number of lateral faces is 3.
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Michael wants to eliminate the variable y from the system below by adding. First, he will have to multiply one of the equations by a number. Which step will enable him to eliminate y by adding?
How many numbers are 10 units from 0 on the number line?
Prove that if you pick three socks from a from a drawer containing only black or blue socks that you must get a pair or either black or blue.
A triangle has base 6 cm and area 42 cm^2 What is the height of the triangle?
The height of the triangle will be 14 cm.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
so we will plug numbers into the equation and solve ;
Area = 6(x) 1/2
42 = 6(x) 1/2
42 = 3(x)
Now, divide each side by 3
14 = x
Therefore, the height of the triangle will be 14 cm.
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Find three consecutive odd integers such that the sum of the first, two time the second and three times the third is 46
To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.
We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.
The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46
Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46
Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5
Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).
Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.
A student got a grade of 85% on a text in which she answered 3 questions incorrectly. How many questions were on the test?
By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.
To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:
0.15x = 3
Solving for x yields:
x = 3 / 0.15
x = 20
Therefore, the test consisted of 20 questions in total.
I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. What dimensions should i use?
The formula for perimeter is:
P = 2 h + 2 w
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
Hence the dimension should be 24cm by 36 cm