Question 5 Unsaved
What is the equation for the sum of four consecutive numbers totaling 86.
Question 5 options:
4n=86
n+4=86
n+n+1+n+2+n+3=86
n+n+2+n++4+n+6=86
"The correct equation representing the sum of four consecutive numbers totaling 86 is [tex]\( n + (n+1) + (n+2) + (n+3) = 86 \).[/tex]
To solve this problem, let's denote the first of the four consecutive numbers as n
The sum of these four consecutive numbers is given by the equation:
[tex]\[ n + (n+1) + (n+2) + (n+3) = 86 \][/tex]
Now, let's simplify this equation by combining like terms:
[tex]\[ 4n + 1 + 2 + 3 = 86 \][/tex]
[tex]\[ 4n + 6 = 86 \][/tex]
Subtract 6 from both sides to isolate the term with n
[tex]\[ 4n = 86 - 6 \][/tex]
[tex]\[ 4n = 80 \][/tex]
Now, divide both sides by 4 to solve for n
[tex]\[ n = \frac{80}{4} \][/tex]
[tex]\[ n = 20 \][/tex]
So, the first number in the sequence is 20.
The four consecutive numbers are 20, 21, 22, and 23, and their sum is indeed 86.
3/4 + 5/7 reduce to lowest term
Just say answer, no need to explain. Thanks
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What is the apparent solution to the system of equations? y= -2x +3, y=1/3x - 4. Graph the system of eqiations
Which of theses are log functions?
Kimela’s little sister likes to swing the playground. Yesterday, Kimela pulled the swing back and let it go. The swing traveled a distance of 9 feet before heading back the other way. Each swing afterward was only 70% as long as the previous one. Find the total distance the swing traveled.
To find the total distance traveled by the swing, we use the sum of an infinite geometric series formula with the first swing distance being 9 feet and a common ratio of 0.7. The sum equals 30 feet, indicating the total distance the swing traveled.
The question involves finding the total distance traveled by a swing that starts with an initial swing length and then decreases by a certain percentage with each subsequent swing. It can be classified as a series problem in mathematics, specifically dealing with a geometric series.
First swing distance is 9 feet. Each subsequent swing is only 70% of the previous, which means the ratio is 0.7. We want to find the sum of this geometric series. The total distance traveled by the swing is the sum of the distances traveled in each direction, so the swing's distances form an infinite series. To find the total distance traveled, we use the formula for the sum of an infinite geometric series:
S = [tex]\frac{a}{1-r}[/tex]
where S is the sum of the series, a is the first term, and r is the common ratio (in this case, 0.7). Plugging in the values, we get:
S = [tex]\frac{9 feet }{(1 - 0.7)}[/tex] = 9 feet ÷ 0.3 = 30 feet
Hence, the total distance traveled by the swing is 30 feet.
A scatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?
A) As the x-values increase, the y-values tend to increase.
B)As the x-values increase, the y-values tend to decrease.
C)As the x-values decrease, the y-values tend to decrease.
D)As the x-values decrease, the y-values tend to vary randomly.
Answer:
B
Step-by-step explanation:
as the x values increase, the y values tend to decrease
For the Scatter plot negative the x-values increase, the y-values tend to decrease.
What is Scatterplot?A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair expressed in function notation. When an is an independent variable on which the function depends, the expression f(a) is referred to as a function.
Given
A scatterplot has a negative, linear correlation.
Which is negative correlation means that with the increase/decrease in one variable the other variable also decrease/increase,
in which their is inverse proportion between two variables.
so values of x increase and values of y tend to decrease.
Hence option B is best suitable answer.
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what is the simplest form of this expression -x(7x+2)+x^2
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number.
I'm deeply sorry for my inconvenience. Hopefully this is my last question. Will someone help?
(I forgot how to do taxes and discounts)
The height of a ball in feet is modeled by
[tex]y = - 16x {}^{2} + 72x[/tex]
where X is the time in seconds after the ball is hit. How long is the ball in the air?
(May I also get steps on how to solve these kind of questions please?)
The value of time of the ball in the air is,
⇒ 4.5 seconds
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The height of a ball in feet is modeled by the equation,
y = - 16x² + 72x
where, x is the time in seconds after the ball is hit.
Hence, For time of the ball in the air, we can plug y = 0 in above equation.
y = - 16x² + 72x
0 = - 16x² + 72x
Solve for x;
- 16x² + 72x = 0
- 4x (4x - 18) = 0
This gives,
4x = 18
x = 18/4
x = 4.5 seconds
Thus, The value of time of the ball in the air is,
⇒ 4.5 seconds
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Choose the justification for each step in the solution for equation 6X -9 equals 45
Two lines, C and D, are represented by the equations given below: Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why?
Answer:
(6, 20), because both lines pass through this point
Step-by-step explanation:
We see that both equations are equal to y. This means we can set the two equations equal to each other:
x+14 = 3x+2
Subtract x from each side:
x+14-x = 3x+2-x
14 = 2x+2
Subtract 2 from each side:
14-2 = 2x+2-2
12 = 2x
Divide both sides by 2:
12/2 = 2x/2
6 = x
Substitute this into the first equation:
y = x+14
y = 6+14
y = 20
This makes the solution (6, 20).
The solution for the given system of equations are (6, 20).
What is a linear system of equations?A system of linear equations is a set of two or more equations involving two or more variables. All of the equations must be considered at once in order to find the solution, which is any pair of values that makes each equation true independently.
The given system of linear equations are y=x+14 -----(i) and y=3x+2 -----(ii).
From equation (i) and (ii), we get
x+14=3x+2
3x-x=14-2
2x=12
x=6
Substitute x=6 equation (i), we get
y=20
Therefore, the solution for the given system of equations are (6, 20).
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how would I set up and solve this problem?
Need help please....
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What is the length of segment AB?
A. 10
B. 12
C. 13
D. 15
There are five students of different ages. Their median age is 13 years A) what are two possibilities for the ages of the three oldest students? B) if each student is a different age, how many students must be younger than 13? C) in complete sentences, describe what a median is to another student in the class. Pretend that the student was absent the day you learned about medians.
The answers are explained in the solution.
What is median?Median in statistics is the middle value of a list of data when arranged in order. It is a measure of central tendency that separates the data into two halves: the upper half and the lower half.
Given that there are five students of different ages. Their median age is 13 years,
A) What are two possibilities for the ages of the three oldest students?
Answer = The median is the middle measurement. Their ages could be 13, 14 and 15.
B) If each student is a different age, how many students must be younger than 13?
Answer = 2 students must be younger than 13.
C) Describe what a median is to another student in the class?
Answer = Since the median is the middle measurement.
If you have a list of numbers, you have to order them and take the middle number.
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A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment?
Answer:
The answer is D.) No its seems more likely to spin a blue or red than a green or a yellow
Step-by-step explanation:
No, it seems more likely to spin a blue or red than a green or yellow. According to the probability model, red and blue are landed on more often.
No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
Given , spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times.
The results are shown in the table.
Color Frequency
Red 18
Blue 11
Green 8
Yellow 4
Purple 19
Total spin recorded = 25
Probability that the next spin will land on red or green or purple will be P(A∪BC) = P(A) + P(B) + P(C)
P(A∪BC) = 0.3 + 0.134 + 0.32 =0.754
= 75%
No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow
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Write a word problem that can be described by the division expression 9 1/3÷2 3/4 . Use complete sentences in your answer. im very bad with word problems
The word problem involves dividing 9 1/3 loaves of bread into servings of 2 3/4 each to find out the total number of servings.
Explanation:Lisa baked 9 1/3 large loaves of bread for a community event. She wants to split each loaf into servings that are 2 3/4 each. How many total servings can Lisa make? This problem can be solved by dividing 9 1/3 by 2 3/4, with the result representing the total number of servings.
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Mary Alice is trying to answer the question. How many siblings does each member of her 30 person Biology class have. What is the best way to determine this?
A) Take a sample of 10 members of the class and then find the mean of the responses.
B) Survey each member of her 30 person class to determine how many siblings each person has.
C) Take a survey from the entire school and then look at the responses from students in a Biology class.
D) Look at the school enrollment roster to see how many siblings each member of the class has at the school.
B) Survey each member of her 30 person class to determine how many siblings each person has.
IF 3 QUARTS IS DIVIDE BY 16 PEOPLE HOW MANY OUNCES
The volume of a cube is 8 cubic units. What is the length of each edge? Explain how u know.
choose the equation that is the standard form of
5y=3-2x
5y-3=-2x 2x+5y=3
2x+5y-3=0
hint the standard form of a linear equation is Ax+By=C
Write about a real-world situation that can be represented by the equation y=4x.
One of the tallest living trees today is the Mendocino Tree found at Montgomery Woods State Park, California. Its height is about 11,200 centimeters. What is this height in scientific notation?
A. 0.112*10'-4cm
B. 1.12*10'4cm
C. 11.2*10'4cm
D. 1.12*10'-4cm
plz help me i need help
i will make brainiest
1.12 × 104
(scientific notation)
= 1.12e4
(scientific e notation)
11.2 × 103
(engineering notation)
(thousand; prefix kilo- (k))
11200
(real number)
B. 1.12*10'4cm should be the correct answer.
The height of the tree which is 11,200 centimeters is written as 1.12*10'4cm in scientific notation. The conversion involves placing the decimal point after the first digit and then counting the number of places moved, which forms the power of 10.
Explanation:The question is asking you to express the height of a tree, which is 11,200 centimeters, in scientific notation. Scientific notation is a way of writing very large or very small numbers into a format that is easier to read and understand. It is formatted as a number between 1 and 10 multiplied by 10 raised to a certain power.
To convert 11,200 into scientific notation, we first place the decimal point after the first digit, which results in 1.12. Secondly, we count the number of places moved. In this case, we moved the decimal point 4 places to the left. Therefore, 11,200 cm is equal to 1.12 × 10^4 cm. So, the correct answer is B. 1.12*10'4cm.
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An object moves on a conveyor belt at a speed of 60 inches per second. Explain how you could conver the speed to feet per minute
Mr. Grayson owns a wood company that sells trees, wood materials, and specialty items created from wood. (Score for Question 1: ___ of 4 points)
1. One of Mr. Grayson’s customers, Zenani, is creating an art wall on which she will display some art in triangular frames. She wants three frames, each in the shape of a right triangle.
(a) For the first frame, Zenani already has two wooden pieces that are 13 in. and 16 in. long. Zenani says that since she wants the frame to be a right triangle, there’s only one possible measurement for the last piece of wood. Is Zenani right? If so, what is that last measurement? If not, explain why not and give all possible measurements for the last wood piece. Round to the nearest tenth.
(b) For the second frame, Zenani asks Mr. Grayson to double the measurements of the first triangular frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the second frame? Explain why or why not.
(c) For the third frame, Zenani asks Mr. Grayson to add the same measurement to each of the sides of the original triangle frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the third frame? Explain why or why not. Answer: (
Score for Question 2: ___ of 4 points) 2.
Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr. Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He finds a palm tree that he thinks might meet the customer’s specifications. The tree is located at coordinates . He calls his assistant to come over to help him determine the height of the tree. He asks his assistant where she’s located. His assistant says she is located at . Each unit on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest tenth. Show your work. Answer:
(Score for Question 3: ___ of 3 points) 3.
Mr. Grayson orders a box that has a volume of . The box is in the shape of a cube. What is the longest stick that can fit in the box? Round your answers to the nearest whole number. Answer:
Please answer All of the questions to get the points
please help the temperature in degrees fahrenheit can be estimated by counting the number of times a cricket chirps in one minute write an algebraic expression for the following written expression
the number of chirps divided by 4 added to 37
We have been given that the temperature in degrees Fahrenheit can be estimated by counting the number of times a cricket chirps in one minute.
Let us start with assuming the number of chirps as x.
We are supposed to write an algebraic expression for the number of chirps divided by 4 added to 37.
Let us first write an algebraic expression for number of chirps divided by 4. The algebraic expression for this will be [tex]\frac{x}{4}[/tex].
Let us now write an algebraic expression for number of chirps divided by 4 added to 37. The algebraic expression for this will be [tex]\frac{x}{4}+37[/tex].
Therefore, the required algebraic expression is [tex]\frac{x}{4}+37[/tex].
how do I find the depth to this rectangular prism