Solve. Answer with a number only. -2/5(x+6)=10

Answer:

19 dimes and 13 quarters

Step-by-step explanation:

Let's start by defining some variables:Let's call the number of dimes the man has "d".

Let's call the number of quarters the man has "q".We know that the man has 32 coins in total, so we can write:

d + q = 32We also know that the total value of the change is 515 cents. Since dimes are worth 10 cents and quarters are worth 25 cents, we can write an equation for the total value in cents:

10d + 25q = 515

We now have two equations with two variables, which we can solve simultaneously. Let's rearrange the first equation to solve for one of the variables:

d = 32 - q

We can substitute this expression for "d" into the second equation:

10(32 - q) + 25q = 515Simplifying and solving for "q", we get:

320 - 10q + 25q = 515

15q = 195

q = 13

So the man has 13 quarters. We can substitute this value into the first equation to find the number of dimes:

d + 13 = 32

d = 19

Therefore, the man has 19 dimes and 13 quarters.

There are 19 dimes and 13 quarters.

Let x represent the number of dimes and y represent the number of quarters.

There are a total of 32 coins, so:

x + y = 32

We know that the total value of the change is 515 cents

. The value of x dimes is 10x cents and the value of y quarters is 25y cents. So:

10x + 25y = 515

We can simplify the first equation by solving for one variable in terms of the other:

x + y = 32x = 32 - y

Now we can substitute this expression for x into the second equation:

10(32 - y) + 25y = 515

Simplify and solve for y:

320 - 10y + 25y = 515

15y = 195y

y = 13

So there are 13 quarters. We can find the number of dimes by substituting y = 13 into x + y = 32:x + 13 = 32x = 19So there are 19 dimes.

So, There are 19 dimes and 13 quarters.

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Answer:

14 units

Step-by-step explanation:

using the absolute value of the difference of X and y

| 11- (- 3) | = | 11 + 3 | = | 14 | = 14

or

| - 3 - 14 | = | - 14 | = 14

Answer:

It's about 33 cents per ounce. The exact answer would be 0.3325

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:     i did it on a piece of paper

Answer:

  \(\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right]\)

Solution of the given system of equations

 x = 3 and  y= 2

Step-by-step explanation:

Step(i):-

Given system of equations are

                                      4x - y =  10 ...(i)

                                     8x +5y = 34...(ii)

The matrix form

                          A X = B

\(\left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}10\\34\\\end{array}\right]\)

Step(ii):-

By using matrix inversion method

\(A^{-1} = \frac{1}{|A|} adj A\)

|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28

Given matrix

            \(A = \left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right]\)

\(AdjA = \left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\)

\(A djA = \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\)

Inverse of the matrix

                           \(A^{-1} = \frac{1}{|A|} adj A\)

                          \(A^{-1} = \frac{1}{|A|} A djA =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\)

Step(iii):-

The solution of the given system of equations by using matrix inversion method

                     X = A⁻¹ B

                    \(X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\left[\begin{array}{ccc}10\\34\\\end{array}\right]\)

                   \(X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5X10+1X34\\-8X10+4X34\\\end{array}\right]\)

                 \(\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\frac{1}{28} \left[\begin{array}{ccc}84\\56\\\end{array}\right]\)

                 \(\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right]\)

Final answer:-

Solution of the given system   x = 3 and  y= 2

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

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confidence interval: This tells us the degree of certainty or uncertainty that is existent in a sampling method.

To construct a 95% confidence interval for the population mean cholesterol level, we can use the following formula:

CI = x ± t*(s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%.

Substituting the given values, we have:

CI = 224 ± t*(12/√21)

Using a t-table with 20 degrees of freedom (since n-1=20), we find that the t-value for a 95% confidence interval is approximately 2.086.

Thus, the confidence interval is:

CI = 224 ± 2.086*(12/√21)

CI = (219.60, 228.40)

Therefore, the answer is option (c) (219.60, 228.40).

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Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.

The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.

Answer:  A. The value of s(x) depends on the value of x, since s is a function of x.

Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.

Answer:

4 days

Step-by-step explanation:

216/3 = 72

72/18 = 4

Answer:

no and yes

Step-by-step explanation:

no to the ,The Night of the spadefoot toad but yes to hatchet to be honest I think everyone read hatchet when they were in 5th grade cuz I know I did and it was pretty good oh yeah who have read the lion,witch and the wardrobe in fifth grade??

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The correct classifications for the number 4563 are Natural, Whole, Integer, and Rational.

Based on the visual representation of sets of real numbers, the correct classifications for the number 4563 are:

- Natural number: 4563 (4563 is a positive whole number, so it is a natural number)

- Whole number: 4563 (4563 is a positive whole number, so it is also a whole number)

- Integer: 4563 (-4563 is not shown in the visual representation, but the integer category includes positive and negative whole numbers, so 4563 falls under this category)

- Rational number: 4563 (4563 can be expressed as the ratio of two integers, namely 4563/1, so it is a rational number)

The incorrect classifications are:

- Irrational number: -4563 (Irrational numbers cannot be expressed as a fraction or ratio of two integers, but -4563 is not shown in the visual representation, so we cannot make any conclusions about its classification as irrational based on the given information)

To summarize, the correct classifications for the number 4563 are Natural, Whole, Integer, and Rational.

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The complete question is:<Based on the visual representation and the classification of numbers, the correct classifications for the number 4563 are:

- Natural number (4563)

- Whole number (4563)

- Integer (4563)

- Rational number (4563)

However, the number 4563 is not classified as an irrational number or as a negative number (-4563) based on the given information.>

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  \(length\times width\)

Area= \((3x+3)x<90\)

\(\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5\)

Based on the area of the triangular prism, and the height, the volume of the triangular prism can be found to be 80 cm³

This can be found as:

= Area of triangular base x Height of triangular prism

Solving gives:

= (1/2 x 4  x 5 ) x 8

= 10 x 8

= 80 cm³

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Let ψ(x)={csin(2πxL) x≤L {0 x<0 or x>L be the electron wave function. The probability that an electron is in the range 0≤x≤L/3 equals square root (2/L) of the normalization constant, or c. The response is one or half.

The wave functions. A wave function () is a mathematical formula that connects the position of an electron at a specific point in space (specified by its x, y, and z coordinates) to the wave's amplitude, or its energy. Consequently, a specific energy E is linked to each wave function. To determine the wavelength of the traveling electron, use the de Broglie wave equation =hmv.

As a function of momentum, time, location, and spin, a wave function in quantum physics describes the quantum state of a particle. The Greek letter psi, or, is the symbol used to represent a wave function. The shape of an electron is a consequence of its energy and the structure of the potential well that traps it. 1/2 or 1 represents the likelihood that an electron is in the range 0≤x≤L/3.

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The target variable in a classification model should be a categorical variable.

In a classification model, the target variable represents the class or category to which an observation belongs. It is a categorical variable because it assigns each observation to a specific group or class rather than representing a continuous or numerical value. The goal of a classification model is to predict or classify new observations into one of the predefined categories based on their features or attributes. Therefore, the target variable in a classification model should be categorical to facilitate the classification process.

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Recurrence relations for solutions of diophantine equations are equations that can be used to express the solutions for a given diophantine equation in terms of the solutions of the equation for smaller values of the variables. These equations can be used to find a general solution for the diophantine equation by solving a sequence of related equations.

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

Answer:

Step-by-step explanation:

Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Answer:

The answer is ”62” Beacause you just divide 620 by 10

Step-by-step explanation:

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one cyclist travels faster than the other. Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).

Let x = the rate of the faster cyclist, and y = the rate of the slower cyclist.

We can set up the equation:

x + y = (distance between towns) / (time they met)

x + y = (distance between towns) / (hours)

We can solve for x and y:

x = (distance between towns) / (2 * hours)

y = (distance between towns) / (2 * hours)

Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).

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Answer: 7 1/2 cubic yards

Step-by-step explanation: sorry if this is wrong lol