Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8
(4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3
Answers
3+4.9x=12.8, (4.9-3)x=12.8 and 12.8=4.9x+3 equation accurately represents the statement.The correct answers to the given question are options C, E, and D.
The equation that accurately represents the statement "Negative 3 less than 4.9 times a number, x, is the same as 12.8" is option C, option D, and option E. Let's analyze each option to understand why they are correct or incorrect.
Option A (O-3-49x=12.8) is incorrect because it subtracts both -3 and 49x from O (which may represent zero), which doesn't accurately reflect the statement.
Option B (4.9x-(-3)=12.8) is correct because it subtracts -3 (which is equivalent to adding 3) from 4.9x, representing "Negative 3 less than 4.9 times a number, x." The equation then sets this expression equal to 12.8, as stated in the original statement.
Option C (3+4.9x=12.8) is correct because it adds 3 to 4.9x, representing "Negative 3 less than 4.9 times a number, x." The equation then sets this expression equal to 12.8, as stated in the original statement.
Option D ((4.9-3)x=12.8) is incorrect because it subtracts 3 from 4.9 outside the parentheses, which incorrectly changes the meaning of the equation.
Option E (12.8=4.9x+3) is correct because it adds 3 to 4.9x, representing "Negative 3 less than 4.9 times a number, x." The equation then sets this expression equal to 12.8, as stated in the original statement.
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The Probable question may be:
Which equation accurately represents this statement? Select three options.
Negative 3 less than 4.9 times a number, x, is the same as 12.8.
A. -3-49x=12.8
B. 4.9x-(-3)=12.8
C. 3+4.9x=12.8
D. (4.9-3)x=12.8
E. 12.8=4.9x+3
Related Questions
Find the area.
A hexagon with side length 6m.
Answers
Answer:
93.53m.
Step-by-step explanation:
.
1. Describe the different ways of solving a system of nonlinear equations.
2. Explain the process of finding the composition of two functions f (g(x)) and g(f (x)).
3. How can you determine if a function is invertible and how do you find its inverse?
4. Explain the difference quotient and how to calculate it.
Answers
Answer:
Look below
Step-by-step explanation:
There are several methods for solving a system of nonlinear equations, which are a set of equations that cannot be solved using linear methods. Some of these methods include:
Graphical methods: These involve plotting the equations on a graph and finding the points where they intersect, which represent the solutions to the system.
Substitution method: This involves solving one of the equations for one variable in terms of the other, and substituting this expression into the other equation. The resulting equation is then solved for the remaining variable.
Elimination method: This involves adding or subtracting the equations in such a way as to eliminate one of the variables. The resulting equation is then solved for the remaining variable.
Newton's method: This is an iterative method that involves starting with an initial guess for the solution and then using an iterative process to improve the guess until it converges to the true solution.
Broyden's method: This is a variant of Newton's method that involves using a Jacobian matrix to calculate the updates to the solution at each iteration.
To find the composition of two functions f(g(x)) and g(f(x)), you need to apply the outer function to the result of the inner function. For example, if f(x) = x^2 and g(x) = x + 1, then the composition f(g(x)) would be equal to f(x+1) = (x+1)^2, and the composition g(f(x)) would be equal to g(x^2) = x^2 + 1.
To determine if a function is invertible, you need to check if it is one-to-one. A function is one-to-one if every element in the range corresponds to exactly one element in the domain. If a function is one-to-one, it has an inverse function, which is denoted by f^(-1)(x). To find the inverse function, you can solve the original function for the variable in the range and express the variable in the domain in terms of the range. For example, if f(x) = x^2 + 1, then f^(-1)(x) would be the inverse function, which can be found by solving f(x) for x to get x = sqrt(x-1).
The difference quotient is a mathematical concept that is used to approximate the slope of a curve at a particular point. It is defined as the difference between the y-values of two points on the curve, divided by the difference between the x-values of those points. The difference quotient can be written as:
(f(x + h) - f(x))/h
where f is the function, x is the x-value of the point at which the slope is being approximated, and h is a small value that is used to calculate the approximation. To calculate the difference quotient, you can plug the values of f, x, and h into the formula and perform the calculations.
suppose that you toss a fair coin repeatedly, record the outcome of each toss, until you get either two heads in a row or two tails in a row, at which point you stop. (a) what is the mean number of tosses until you stop. (b) what is the probability that you stop with two heads in a row, but you see a second tail before you see a second head?
Answers
The mean number of tosses until we stop is 6 and the probability of stopping with HHT followed by a T before HH = 1/16.
(a) To find the mean number of tosses until you stop, we can use a recursive approach. Let E be the expected number of tosses until we stop. If the first toss is a head, then we must get another head in the next toss or stop with two heads. The expected number of tosses in this case is 2 (one for the first head and one for the second head). If the first toss is a tail, then we must get another tail in the next toss or stop with two tails. The expected number of tosses in this case is also 2. Therefore, we have:
E = 1 + 1/2(E) + 1/2(E)
Solving for E, we get E = 6, so the mean number of tosses until we stop is 6.
(b) To stop with two heads in a row, but see a second tail before a second head, we must have the following sequence of tosses: HHT. The probability of this sequence is
(1/2)(1/2)(1/2) = 1/8
The next toss must be a T, which has probability 1/2.
Therefore, the probability of stopping with HHT followed by a T before HH is (1/8)(1/2) = 1/16.
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Graph the equation y=2x+10
Answers
Answer: Look below this should answer your question. I think this is the right answer
65÷6=10r I need help fast
Answers
Answer:
10 remainder or 5
Step-by-step explanation:
Answer: exact form is 13 over 12 decimal form is 1.083 and mixed number is 1 and 1 over 12
Step-by-step explanation:
Im Good At Math ;)
42 slices from 3 cakes = 84 slices from____ cakes
Answers
6 Cakes man 6 cakes 42*2 3*2
Answer:
42 slices from 3 cakes = 84 slices from 6 cakesStep-by-step explanation:
Let the unknown value be x
\(42 = 3\\84 =x\\\\\)
Cross Multiply
\(42\times x = 84\times 3\\\\42x = 252\)
Divide both sides of the equation by 42
\(\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6\)
(2m + 7) + (5x + 4) =
Hurry help please
Answers
Answer:
5x + 2m + 11
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(2m + 7) + (5x + 4)
Step 2: Simplify
Combine like terms (Z): 5x + 2m + 11Millie wants to take four of her friends to a movie. She knows it costs $5.50 for a ticket and $3.25 for popcorn. How much will it cost Millie if she pays for the movie tickets and popcorn for all five people?
Answers
Answer:
$43.75
Step-by-step explanation:
$5.50 × 5 = $27.50
$3.25 × 5 = $16.25
$27.50 + $16.25 = $43.75
Hope this helped!
Simplify the expression,
Assume all variables are positive.
Answers
Answer:
x²\(\sqrt{5}\)
Step-by-step explanation:
using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
given
5\(\sqrt{20x^4}\) - 3\(\sqrt{45x^4}\)
simplify the 20 and 45 inside the radicals
\(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
\(\sqrt{45}\) = \(\sqrt{9(5)}\) = \(\sqrt{9}\) × \(\sqrt{5}\) = 3\(\sqrt{5}\)
Then
= 5(2\(\sqrt{5}\) x² ) - 3(3\(\sqrt{5}\) x² )
= 10\(\sqrt{5}\) x² - 9\(\sqrt{5}\) x²
= x²\(\sqrt{5}\)
i need help asap plsss
Answers
Write an exponential regression function to model the situation.
Answers
The exponential regression function to model the situation above is: y = 400,000(0.841)^x
What is the explanation for the above response?The exponential regression function to model the situation is:
y = ab^x
where,
y = flour in grams
x = number of weeks since the bakery opened
a = initial amount of flour (Y-intercept) = 400,000 grams
b = growth factor
To find the value of b, we can use any two points from the table. Let's use the first and second points.
When x = 0, y = 400,000
When x = 1, y = 336,400
Substituting these values in the equation, we get:
400,000 = ab^0
336,400 = ab^1
Simplifying these equations, we get:
a = 400,000
b = 0.841
Therefore, the exponential regression function is:
y = 400,000(0.841)^x
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Decide if each statement is true or false:
7×−8=56
Answers
Decide if each statement is true or false:
1.7×8=56 (TRUE)
2.-7×8=56(FALSE)
3.-7×-8=-56(FALSE)
4.-7×-8=56(TRUE)
5.3.5× 12= 42(TRUE)
6.-3.5×-12=-42(FALSE)
7.-3.5×-12= 42(TRUE)
8.-12×7/2 = 42(FALSE)
Definition of IntegerAn integer is a number consisting of positive integers, zero (0) and negative integers. Integers are symbolized by the letter Z. Members of the set of integers can be written Z = { …, -3, -2, -1, 0, 1, 2, 3, … }.
A positive integer is a number whose value is positive. On the number line, this number is to the right of zero. While a negative integer is a number whose value is negative. On the number line, negative integers are to the left of zero.
Positive integers are also called natural numbers. A natural number plus zero is called a whole number. The set of whole numbers plus a negative number is called an integer.
Integer Multiplication Formula(+) x (+) = (+)
Example:
2 x 5 = 10
(-) x (-) = (+)
Example:
(-2) x (-5) = 10
(+) x (-) = (-)
Example:
2 x (-5) = (-10)
(-) x (+) = (-)
Example:
(-2) x 5 = (-10)
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\Which equation shows the volume of the rectangular prism as a product of its edge lengths?
Answers
Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.
What is a Rectangular Prism?Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.
A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.
The area of the base times the height of the rectangular prism equals the volume of the object.
The volume of a rectangular prism = Length × Width ×Height cubic units.
In the given question:
Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.
Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)
Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.
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Quadrilateral PQRS is reflected over the x-axis and then translated 3 units left to create
quadrilateral P'Q'R'S'
Anyone know this by chance?
Answers
Answer:
ssssssssssssssssssssssssssss
Step-by-step explanation:
wwwwwwwwwww
GIVING 10 POINTS
PLEASE HELP!
What does it mean when two expressions are equivalent?
Answers
Answer:
When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!
If my function rule is y=x + 3, what is the OUTPUT if the input is 4?
Answers
Answer:
7
Step-by-step explanation:
The output is 'y'. The input would be 'x'.
\(y=x+3\\\\y=4+3\\\\y=7\)
The output should be 7.
Hope this helps.
The output for the function y=x + 3 at input x = 4 will be y = 7.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given the function is y=x + 3. the value of the output at input x = 4 will be calculated as:-
y = x + 3
Put x = 4 in the function.
y = 4 + 3
y = 7
Therefore, the output for the function y=x + 3 at input x = 4 will be y = 7.
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area of a square is 196 cm?
Answers
With children, there is an apparent strong correlation between low family income and poor performance in school. How did susan mayer’s research undermine the hypothesis that low income causes poor school performance?.
Answers
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
Susan has a destitute family to support in addition to her plans to attend college.
She tells her parents she would live with them and support them financially, but in truth, she plans to attend college and pursue her education while leaving her family behind.
She is battling an internal conflict where she prioritizes her needs over those of her family.
The biggest issue today is one of health. The absence of illness does not imply good health. Illness is caused by a variety of circumstances, including a person's psychological, social, and physical health.
Poverty is correlated with low income, illiteracy, gender inequality, and environmental degradation. Poverty can also result from poor health. Wealthier individuals spend more on their health.
Additionally, the government invests in public health-related projects.
Therefore,
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
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Which equation can be used to find the value of x?
Answers
Answer: D
Step-by-step explanation:
The perimeter is all the sides added up
2.5x + 2.5x + 10 + 2 + 10 =>
5x + 22
It is also given that the perimeter is 10.5x
meaning that both these values are equal
5x + 22 = 10.5x
Find the zeros of each function by factoring. F(x)=x^2–2x–63
Answers
The function can be factored as
\(x^2-2x-63=(x-9)(x+7)\)We see now that the function vanishes to zero when x = 9 or x = -7 which are the zeros of the function.
$7.90 for 50 ounces of soap ____ per soap?
Answers
How do I graph this then find the solution?
Answers
Answer:
the solution is (3,4). x = 3, y=4
Step-by-step explanation:
First, we refer to y = mx + b, where m is the gradient and b is the y-intercept. You can plug in any values of x to find values of y and plot them.
For the solution, you can equate the two equations. y1=y2 ; -x + 7 = x + 1, work from there to find the x which is 3 in this case. Then, substitute x=3 into one of the equations to get y = 4. That's the point where the two equations intersect with each other.
please answer soon! :/
Answers
Answer:
D
Step-by-step explanation:
The decrease in losses is 3 and 3/5 is 60%
Answer:
D
Step-by-step explanation:
If you multiply 5 by 2, you get 10, I automatically view that as 100%, multiply 2 by 20(simplified for the 100 stance) you have 3 games won this season, multiply that by 20 and you have 60, give us a 60% decrease. Sorry if you don't understand, but hope this helps!
i think of a number, subtract 4, then divide by three
Answers
The algebraic expression that corresponds to the sentence "I think of a number, subtract 4, then divide by three" is given as follows:
(n - 4)/3.
How to model the sentence with an algebraic expression?The sentence for this problem is given as follows:
"I think of a number, subtract 4, then divide by three".
The number is unknown, hence the variable used to represent the number is given by n.
Then the subtraction of the number n by 4 is represented by the expression presented as follows:
n - 4.
The division of the entire expression by 3 means that the parenthesis has to be applied to (n - 4), due to the precedence of operators, hence:
(n - 4)/3.
Missing InformationThe problem asks for the algebraic expression that represents the sentence.
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NEED HELPP QUICK NO LINKS PLEASE!!
Answers
Answer:
May be only relation 3 is the function.
The dotplot shows the body mass index (BMI) for 141 randomly surveyed people from a certaincountrya. A BMI of more than 40 is considered morbidly obese. Report the number of morbidly obese shown inthe dotplot.b. Report the percentage of people who are morbidly obese. Compare this with a recent estimate that3% of people from the country were morbidly obese.
Answers
The number of morbidly obese people from the graph is
The nuber of morbidly obese people having bmi greater than 40 is
\(\begin{gathered} 3+3+2+1+1+2=12 \\ 12\text{ people are morbidly obese} \end{gathered}\)B find the % of morbidly obese people.
\(\begin{gathered} \text{percentage =}\frac{\text{number of morbidly obese people}}{\text{total number of people}}\ast100 \\ =\frac{12}{141}\ast100\ast \\ =8.5 \end{gathered}\)8.5 % people are morbidly obese
C. Compare both the percentages
\(\begin{gathered} \text{The recent estimate is 3 percent.} \\ \text{The difference between present and recent estimate is } \\ 8.5-3=5.5\text{percent} \end{gathered}\)As per the present estimate, the number of morbidly obese people have increased by 5.5% compared to a recent estimate.
Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card?
Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance
$2,500. 00 $1,500. 00 $3,000. 00 $7. 50 $4,007. 50
A.
$3,992. 50
B.
$5,000. 00
C.
$5,500. 00
D.
$6,500. 50
Answers
The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.
The calculation of the provided data, according to the question, is as follows:
$8000 is the credit limit on the card.
Paid in Full = $2,500
$1,500 has been credited to the account.
The value of recent purchases made by Pavi is $3,000
Applied finance charges equal $7.50
The card's current balance is equal to $4,007.50.
Using the formula below, we can now determine the amount of credit that is now available on the card:
The credit line on the card = Available Credit - New Balance
By entering values into the formula provided, we obtain
Credit available on the current card: $8,000 - $4,007.50= $3,992.50.
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If 6x - 3 = 12 , what is the value of 12x + 8 ?
Answers
Answer:
You would first add 3 to 12 - 6x =15
x =2.5
12(2.5) = 30
Final value =38
Step-by-step explanation:
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answers
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
.In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below.
Wheather station: 1 2 3 4 5 January: 122 120 120 64 78 April: 106 101 109 88 61
Answers
The hypotheses areHo: μd = 0 (There is no difference between the mean peak wind gust speeds in January and April.)Ha: μd ≠ 0 (There is a difference between the mean peak wind gust speeds in January and April.)
The sample size is n = 5. Since we are comparing two months, the degrees of freedom are d.f. = n - 1 = 4.Using the formula, t = d¯ - μd / (sd / √n), we can calculate the t-test statistic.
The differences are calculated as follows:January: 122 - 106 = 16; 120 - 101 = 19; 120 - 109 = 11; 64 - 88 = -24; 78 - 61 = 17April: 106 - 118 = -12; 101 - 120 = -19; 109 - 120 = -11; 88 - 64 = 24; 61 - 78 = -17
The difference between the means, d¯ = (-5)/5 = -1. The standard deviation of the differences, sd, is calculated as follows:Calculate the variance of the differences: s² = Σd² / (n - 1) = [16² + 19² + 11² + (-24)² + 17² + (-12)² + (-19)² + (-11)² + 24² + (-17)²] / 4 = 1161.5Calculate the standard deviation of the differences: sd = √s² = √1161.5 = 34.064
We can now calculate the t-test statistic:t = d¯ - μd / (sd / √n) = -1 - 0 / (34.064 / √5) = -0.27
Using the t-distribution table with d.f. = 4 and α = 0.05, the critical values are t = ±2.776.
Since |-0.27| < 2.776, the p-value is greater than α = 0.05, so we fail to reject the null hypothesis. There is not enough evidence to suggest that there is a significant difference between the mean peak wind gust speeds in January and April.
The difference between the means, d¯ = (-5)/5 = -1. The standard deviation of the differences, sd, is calculated as follows:Calculate the variance of the differences: s² = Σd² / (n - 1) = [16² + 19² + 11² + (-24)² + 17² + (-12)² + (-19)² + (-11)² + 24² + (-17)²] / 4 = 1161.5
Calculate the standard deviation of the differences: sd = √s² = √1161.5 = 34.064
We can now calculate the t-test statistic:t = d¯ - μd / (sd / √n) = -1 - 0 / (34.064 / √5) = -0.27
Using the t-distribution table with d.f. = 4 and α = 0.05, the critical values are t = ±2.776. Since |-0.27| < 2.776, the p-value is greater than α = 0.05, so we fail to reject the null hypothesis. There is not enough evidence to suggest that there is a significant difference between the mean peak wind gust speeds in January and April. Therefore, we can conclude that the data does not provide sufficient evidence to suggest that the mean peak wind gust speeds in January and April are different.\
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