Marissa bought 60 horns for her New years eve party for $83.40. She needs to purchase an additional 18 horns for the party at the same unit price. Complete the sentences below.

Answer A: Marissa will spend $____ for each horn.
Answer B: She will spend $_____ on the additional.
Answer C: she will have a total of _______ horns.
Answer D: She will spend a total of $_____ on horns for the party.

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You're welcome!

Answer:

(5,-9)

Step-by-step explanation:

use formula \(y^2-y^1/x^2-x^1\)

so, 3-(-2)/-5-4

which gives you (5,-9)

\(n+11=25\)

Subtract 11 from both sides:

\(n+11-11=25-11\)

\(\boxed{n=14}\)

Answer: X=5/8

Step-by-step explanation:

2*x-1/4-(1)>0

Step 1 Simplify: 1/4

(2x-1/4)-1>0

Step 2 Rewrite the whole number in an equivalent fraction:

(Subtract a fraction from a whole)

2x=2x/1=2x*4/4

Adding Fractions that have a common denominator:

2x*4-(1)/4=8x*1/4

The equation at the end of step 2:

(8x-1)/4-1>0

Step 3 Rewrite the whole as an equivalent fraction:

1=1/1=1*4/4

Adding Fractions that have a common denominator:

(8x-1)-(4)/4=8x-5/4

The equation at the End of Step 3:

8x-5/4>0

Step 4:

Multiply both sides by 4 then Divide both sides by 8.

So the answer is

x>5/8

I know it seems a lot but it's just the way I learned it. I hope you understand.

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

To know more about standard deviation refer to:

https://brainly.com/question/12669569

#SPJ4

Answer:

Divide by 4, because 4 is a factor of 88.

Step-by-step explanation:

This is incorrect reasoning because what the constant is on the right side of the equation has nothing to do with the number you are dividing by. In other words, you are dividing by 4 because that isolates the x-variable, and if it was 5x you would divide by 5. The number that you are dividing by only is determined by what number isolates x.

Answer:

second one

Step-by-step explanation:

16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

For more questions on fractions

https://brainly.com/question/4597974

#SPJ4

Answer:

Divisible by 2 and 4

Step-by-step explanation:

376 ÷ 2 = 188

376 ÷ 3 = 125.33 (3s repeating)

376 ÷ 4 = 94

376 ÷ 5 = 75.2 (Decimal)

376 ÷ 6 = 62.67 (6s repeating)

376 ÷ 9 = 41.78 (7s repeating)

Answer:

c.

Step-by-step explanation:

Answer:

Your correct answer is 31/50 + -4/25 i

Step-by-step explanation:

5+4i/6+8i = 31/50 + -4/25 i

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

-------------------------------                                                                  

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

The depreciated value in 1990 will be $146.6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in 1986 one of the first video games, the Nintendo sold for $180. The depreciation rate per year is 5%.

The price after 1990 will be calculated as,

Price = 180 x ( 0.95 )⁵

Price = $146.6

The complete question is given below.

In 1986 one of the first video games, the Nintendo sold for $180. The depreciation rate per year is 5%. What is the cost at the end of 1990.

To know more about expression follow

https://brainly.com/question/25297296

#SPJ1

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

Answer:

-13824

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

frequency mesum 8 ok

frequency of natural center you should

Answer:S(3,2),T(2,4),U(1,1)

Step-by-step explanation:

I took the quiz and got it right

The calculated value of x in the circle is 8

From the question, we have the following parameters that can be used in our computation:

The circle

Assuming that all lines which appear tangent are actually tangent, we have the following equation

69 = 1/2 * (8x - 4 + 78)

The above equation is theorem of angle between two chords

So, we have

8x - 4 + 78 = 138

Evaluate the like terms

8x = 138 + 4 - 78

This gives

8x = 64

Divide

x = 8

Hence, the value of x in the circle is 8

Read more about circle at

https://brainly.com/question/25871159

#SPJ1

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The transformations have been performed on the graph of f(x)=x√3 to obtain the graph of g(x)=2x−3√3+4 are :

Graph is a representation of data in a table that is displayed in the form of an image. In addition, graphics can also be interpreted as a combination of data in the form of numbers, letters, symbols, pictures, words and paintings presented in the media to provide an overview of data from material representatives and material recipients. in the process of sending information.

Graphics are a combination of numbers, letters, symbols, pictures, words and paintings presented in the media to convey concepts or ideas from the sender to the target in providing information.

Learn more about graph at

https://brainly.com/question/16608196

#SPJ1

The mean value of the sample is 98.1 F and its standard deviation is 0.7 F.

The margin of error of the mean value is given by 0.7/sqrt(751) = 0.7/27.4 = 0.026 (rounded to the nearest thousandth)

Using the Z test, we got: Z = (98.6 - 98.1)/(0.026) = 0.5/0.026 = 196

Therefore, the mean value of the sample is incompatible with 98.6 and we can claim that the mean body temperature is less than it.

Answer:

The correct answer is C

x² - 2x -15

The product of sum of the expression (2x+1)(5x-8) is  10\(x^2\)-11x-8.

What is product of sum?

Expressions that are a product of sums are Boolean expressions made up of sums of one or more variables, either in their true form or complemented form. Boolean expressions known as "product of sum expressions" are constructed by adding together sums of one or more variables in either their true form, complemented form, or a combination of both.

Here the given expression is ,

=> (2x+1)(5x-8)

=> [2x.5x - 8.2x+5x-8]

=> 10\(x^2\)-16x+5x-8

=> 10\(x^2\)-11x-8.

Hence the product of sum is 10\(x^2\)-11x-8.

To learn more about product of sum refer the below link

https://brainly.com/question/2548064

#SPJ1

If \(a\) is the first term and \(r\) is the common ratio of the series, then the sum of the first \(n\) terms is

\(S_n = a + ar + ar^2 + \cdots + ar^n\)

Multiply by \(r\) on both sides, then subtract that from and solve for \(S_n\).

\(rS_n = ar + ar^2 + ar^3 + \cdots + ar^{n+1}\)

\((1-r)S_n = a - ar^{n+1}\)

\(S_n = \dfrac{a(1-r^{n+1})}{1-r}\)

Use the given first and second terms of the sequence to find \(a\) and \(r\).

\(a = \dfrac1{64}\)

\(ar = \dfrac1{32} \implies \dfrac r{64} = \dfrac1{32} \implies r = \dfrac{64}{32}=2\)

Solve for \(n\).

\(S_n = \dfrac{1-2^{n+1}}{64(1-2)} = 2^{36} - 2^{-6}\)

\(\dfrac{2^{n+1} - 1}{2^6} = 2^{36} - 2^{-6}\)

\(2^{n-5} - 2^{-6} = 2^{36} - 2^{-6}\)

\(\implies n-5 = 36 \implies \boxed{n = 41}\)

The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.

The solution of the matrix equation is calculated by applying Cramer's rule as shown below;

[ 1     1     -1 ]  [ 7 ]

[ 2    3     0 ] [ 18 ]

[ -5   -7    -1 ] [ -43 ]

The determinant of the matrix is calculated as follows;

[ 1     1     -1 ]  

[ 2    3     0 ]

[ -5   -7    -1 ]

Δ = 1 (-3 - 0) - 1(-2 - 0 )  - 1(-14 + 15)

Δ = -2

The x determinant of the matrix is calculated as follows;

[ 7     1     -1 ]  

[ 18    3     0 ]

[ -43   -7    -1 ]

Δx = 7 (-3 - 0) - 1 (-18 - 0 )  - 1(-126 + 129)

Δx = -6

The y determinant of the matrix is calculated as follows;

[ 1     7     -1 ]  

[ 2    18     0 ]

[ -5   -43   -1 ]

Δy = 1 (-18 - 0 )   - 7(-2 - 0 )  -1(-86 + 90)

Δy = -8

The z determinant of the matrix is calculated as follows;

[ 1     1     7 ]  

[ 2    3    18 ]

[ -5   -7   -43]

Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)

Δz = 0

The values of x, y , and z is calculated as;

x = Δx/Δ = -6/-2 = 3

y = Δy/Δ = -8/-2 = 4

z = Δz/Δ = 0/-2 = 0

Learn more about matrix equation here: https://brainly.com/question/11989522

#SPJ1

The eigen vectors are :

\(\left[\begin{array}{ccc}-4&8\\-8&-4\end{array}\right]\) = 4\(\sqrt{5}\) \(\left[\begin{array}{ccc}cos(arctan(2)+π)&−sin(arctan(2)+π)\\sin(arctan(2)+π)&cos(arctan(2)+π)\end{array}\right]\)

given that

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

using the P\(D^{n}\)\(P^{-1}\) method

λ1=−4+8i  with the respective eigenvector which leads \(\left[\begin{array}{ccc}-i\\1\end{array}\right]\) factoring out the i out giving

\(\left[\begin{array}{ccc}0\\1\end{array}\right]\) + i \(\left[\begin{array}{ccc}-1\\0\end{array}\right]\)  which means P = \(\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\) and \(P^{-1}\) = \(\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\)

D = 4\(\sqrt{5}\) \(\left[\begin{array}{ccc}cos(arctan(2)+π)&−sin(arctan(2)+π)\\sin(arctan(2)+π)&cos(arctan(2)+π)\end{array}\right]\)

I means \(\pi\)

\(\left[\begin{array}{ccc}-4&8\\-8&-4\end{array}\right]\) = 4\(\sqrt{5}\) \(\left[\begin{array}{ccc}cos(arctan(2)+π)&−sin(arctan(2)+π)\\sin(arctan(2)+π)&cos(arctan(2)+π)\end{array}\right]\)

To learn more about eigenvector :

https://brainly.com/question/13050052

#SPJ4

f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

Learn more about Ratios here :

https://brainly.com/question/1706633

#SPJ9

(−9, −13)ordered pair is the solution to the system of equations.

Given :   y = x - 4     (Say eq. 1)

           -4x + 3y = -3   (Say eq. 2)

On Multiplying eq. 1 both the sides with 3 , we get

3(y) = 3(x-4)

or 3y = 3x - 12   (Say eq. 3)

On Subtracting eq. 2 from eq. 3 , we get

(3y) - (-4x + 3y) = (3x - 12) - (-3)

4x = 3x -9

or , x = -9

Substituting , x =-9 , in eq.2 we get,

-4(-9) + 3y = -3

36 + 3y = -3

3y = -39

∴ y = -13

Hence ,(−9, −13) is the solution to the system of equations.

Learn more about Linear equations at: brainly.com/question/26310043

#SPJ1