A coffee shop sells assorted types of coffees, and blends them into their "signature blends". New Guinean sells for $4. 20 per pound, and Costa Rican sells for $7. 20 per pound. A customer pays $28. 05 for 4 pounds of a blend. How much of each type of coffee goes into the blend

Answer:

Colin has 8 sheets left for his third class.

Step-by-step explanation:

Given that:

Total Number of pieces of papers = \(x\)

Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad

Writing the equation:

\(\text{Number of pieces of papers used for 1st class =} \dfrac{x}{2} -5 ...... (1)\)

Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.

\(\text{Number of pieces of papers used for 2nd class =} \dfrac{x}{2} -5+2 = \dfrac{x}2 -3 ...... (2)\)

Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class

\(\text{number of pieces of papers left for the third class = }x-(\dfrac{x}{2}-5)-(\dfrac{x}{2}-3)\\\Rightarrow x-\dfrac{x}2-\dfrac{x}2+5+3\\\Rightarrow x-x+5+3\\\Rightarrow 8\)

So, the answer is:

Colin has 8 sheets left for his third class.

The inverse of a function is the reflection of the original function about the line y = x. To find the inverse of a function algebraically, replace f (x) with y and then solve for x.

Here are the inverses of each of the relations algebraically:

p(r) = 2r² + 2r − 1 y = 2x² + 2x − 1 2x² + 2x − (y + 1) = 0 x = (-b ± √b² - 4ac) / 2a = (-2 ± √4 - 8(2)(-1 - y)) / 4 = (-1 ± √1 + 2y + 8) / 2

Therefore, the inverse is: p⁻¹(x) = (-1 ± √1 + 2x + 8) / 2.2. 3y + 5x = 18 y = (-5/3)x + 6

The inverse is: h⁻¹(x) = (-5/3)x + 6.

Graphs of the functions can be plotted to understand their behavior. The graph of a function is the set of all points in the plane of the form (x, f (x)).

When we plot the inverse function, we are swapping the x and y coordinates of each point, resulting in the reflection about the line y = x.

This indicates that the graphs of the inverse functions will be a reflection of the original function through the line y = x.

To know more about relations visit:

https://brainly.com/question/31111483

#SPJ11

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

Learn more about probability here:

https://brainly.com/question/31123570

#SPJ1

Answer:

perpendicular

Step-by-step explanation:

First lets put the two equations in y = mx + b form by solving for y

First equation : 2x + 2y = 4

==> subtract 2x from both sides

2y = 4 - 2x

==> divide both sides by 2

y = 2 - x

==> rearrange terms

y = -x + 2

Second equation 2x - 2y = 8

==> subtract 2x from both sides

-2y = 8 - 2x

==> divide both sides by -2

y = -4 + x

==> rearrange terms

y = x - 4

Now to determine whether the two lines are parallel, perpendicular or neither we look at the slope

If:

Here, one of the lines has a slope of -1 and the other has a slope of 1. These are reciprocals of each other as the inverse of -1 is 1 vise versa.
So we can say that the lines are perpendicular.

We can also check this by graphing, if the two lines intersect and create 4 90 degree angles then they are perpendicular.

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

Answer:

1.Triangular Prism

2.Pyramid

3.Triangular Prism

4.Cube

5.Pyramid

6.Pyramid

Step-by-step explanation:

Answer:

\(\frac{x-22}{(x+2)(x-4)}\)

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

\(\frac{4}{x+2}\) - \(\frac{3}{x-4}\)

= \(\frac{4(x-4)}{(x+2)(x-4)}\) - \(\frac{3(x+2)}{(x+2)(x-4)}\) ← subtract numerators leaving the common denominator

= \(\frac{4x-16-3x-6}{(x+2)(x-4)}\)

=\(\frac{x-22}{(x+2)(x-4)}\)

The average fixed manufacturing cost per unit produced is $16.

The average fixed manufacturing cost per unit produced if 16,000 units are produced can be found as follows:

The given data is

Average Fixed Manufacturing Cost (FC) = $640,000

Total Units Produced (Q) = 40,000

Therefore,Average Fixed Manufacturing Cost per unit produced (P) = FC / Q$

P = 640000 / 40000$

P = 16

Learn more about manufacturing cost at

https://brainly.com/question/15735176

#SPJ11

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

Answer:

the answer would be D) undefined

Step-by-step explanation:

above is what the graph should look like and in that graph there is no slope.

The ratio problem of a manufacturing plant produces 917 units in 7 hours so it would take approximately 11 hours to produce 1,441 units at the same consistent production rate.

We can use a proportion to solve this problem.

Let's call the number of hours it takes to produce 1,441 units "x". We know that the plant produces 917 units in 7 hours, so we can set up the following proportion:

917 units / 7 hours = 1441 units / x hours

To solve for x, we can cross-multiply and simplify:

917 units × x hours = 7 hours × 1441 units

x = (7 hours × 1441 units) / 917 units

x ≈ 11 hours

Learn more about the ratio problem at

https://brainly.com/question/28368900

#SPJ4

The equation can you use to find the distance of the flowerbed from the hive  is  mathematically given as

(a)Equation is \frac{d}{10}+\frac{d}{6}=240 (\(\frac{d}{10}+\frac{d}{6}=240\))

(b)900ft

Generally, the equation for is  mathematically given as

The distance between the flower bed and the hive should be d.

11 seconds have passed during the bee's visit to the flower bed.

15 seconds is the amount of time the bee is away from the colony.

The time it took for the bees to travel from the hive to the flower bed and then back again;

t=4*60

t=240 seconds

The formula for calculating time is distance multiplied by speed.

The duration of my terror was 240 seconds.

Create an expression for the amount of time spent flying;

The amount of time needed to fly from the hive to the flowerbed is equal to d/10ft/s.

\(=\frac{d}{10}+\frac{d}{6}=240\)

\(\begin{aligned}&=\frac{3 a+5 a}{30}=240 \\&=\frac{8 d}{30}=240\end{aligned}\)

8 d=240 * 30

8 d=7200

\(d=\frac{7200}{8}=900 \mathrm{ft}\)

(a) Equation is

\(\frac{d}{10}+\frac{d}{6}=240\)

In conclusion,

(b) The distance between the flower bed and the hive is 900 feet.

Read more about distance

https://brainly.com/question/15172156

#SPJ1

Answer:

To move a figure in a certain direction

Step-by-step explanation:

Ex.  <2,5>    You would move up(+) or down(-) for the x value which is 2.

You move from right to left(+) and left to right(-) for the y value which is 5.

Answer:

A - 5w

Step-by-step explanation:

I don't know how to explain it

TOP GUY MADE A VERY FUNNY JOKE LOL

The matrix multiplication EC + BH yields the result [1 4m; -8 + n -2p; 0 -2]. This means that the resulting matrix is a 3x2 matrix, where the first row contains the values 1 and 4m, the second row contains the values -8 + n and -2p, and the third row contains the values 0 and -2.

To obtain the result, we perform matrix addition by adding the corresponding elements of matrices EC and BH. Each element in the resulting matrix is the sum of the corresponding elements in EC and BH. The resulting matrix represents the combined effect of the two matrices on each element.

In this case, the resulting matrix shows the sum of the elements from matrices EC and BH. Each element is calculated by adding the corresponding elements in EC and BH. For example, the element in the first row and first column is obtained by adding -3 and 4 from EC and BH, respectively.

Thus, the final answer is [1 4m; -8 + n -2p; 0 -2], which represents the result of the matrix multiplication EC + BH.

Learn more about composition function here : https://brainly.com/question/14490203

#SPJ11

Answer:

f(5) = 0

f(-2) = 0

Explanation:

Given the function f(x) = 3(x - 5)(x + 2),

f(5) can be gotten by simply substituting x = 5 into the function as shown;

f(5) = 3(5-5)(5-2)

f(5) = 3(0)(3)

f(5) = 0

For f(-2)

f(-2) = 3(-2-5)(-2+2)

f(-2) = 3(-7)(0)

f(-2) = 0

Hence f(-2) is also zero

The exact values of the trigonometric functions are:

sin(θ) = -9/41,

cos(θ) = -40/41,

tan(θ) = 9/40,

csc(θ) = -41/9,

sec(θ) = -41/40,

cot(θ) = 40/9.

To find the exact values of trigonometric functions for the angle θ, we can use the coordinates of the point (-160, -36) to determine the values.

First, we need to find the radius (r) from the origin to the point (-160, -36) using the Pythagorean theorem:

r = sqrt((-160)^2 + (-36)^2) = sqrt(25600 + 1296) = sqrt(26996) = 164.

Now, we can determine the trigonometric functions:

sin(θ) = y/r = -36/164 = -9/41.

cos(θ) = x/r = -160/164 = -40/41.

tan(θ) = y/x = -36/-160 = 9/40.

csc(θ) = 1/sin(θ) = 1/(-9/41) = -41/9.

sec(θ) = 1/cos(θ) = 1/(-40/41) = -41/40.

cot(θ) = 1/tan(θ) = 1/(9/40) = 40/9.

So, the exact values of the trigonometric functions are:

sin(θ) = -9/41,

cos(θ) = -40/41,

tan(θ) = 9/40,

csc(θ) = -41/9,

sec(θ) = -41/40,

cot(θ) = 40/9.

Learn more about trigonometric functions  here:

https://brainly.com/question/25618616

#SPJ11

Answer:

Sharika needs 2.5 days to finish the remaining work

Step-by-step explanation:

Sharika can do a work in 6 days palkey can do it in 8 days

Then the amount of work sharika can do in 1 day = 1/6

And the amount of work palkey can do in 1 day = 1/8

The amount of work both of them can do together in 1 day = 1/6 + 1/8

= 7/24

The amount of work both of them can do together in 2 day = (2× 7/24)

= 7/12

Since Palkey left the work,the amount of

work remaining for Sharika to do alone = (1 - 7/12 )

= 5/12

The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )

= 5/2 days

Therefore, Sharika needs 2.5 days to finish the remaining work.

Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

To know more about sampling distribution refer here

https://brainly.com/question/31465269#

#SPJ11

Answer:

A (Associative Property)

Step-by-step explanation:

The equations are not equivalent

(7 - x) - 5 ≠ 7 - (x -5) because

7 - x - 5 ≠ 7 -x + 5

Answer:

\( \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}\)

hope this helps.

Therefore, there are 45 different combinations of meals that Yann and Camille can order if they refuse to order the same dish.

This problem involves counting the number of ways two people can choose different dishes from a menu of 10 items, without repeating any dish. To solve this problem, we can use the formula for combinations, which is given by:

C(n, k) = n!/[(n-k)! k!]

where n is the total number of items, and k is the number of items we want to choose. In this case, we want to choose 2 items from a menu of 10, so we have:

C(10, 2) = 10!/[(10-2)! 2!]

= (10 x 9)/2

= 45

To know more about combination,

https://brainly.com/question/20211959

#SPJ11

Answer: 9

Step-by-step explanation:

1. To divide by 2 you need an even number, and the closest even number below 19.5 is 18.

2. 18 feet divided by 2 feet per piece of rope equals nine pieces of rope.

Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

To learn more about linear equation , refer:

https://brainly.com/question/28555579

#SPJ4

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value for the expression

\(m^{7}\) ÷ m² is \(m^{5}\)

n³ x n³ x n³ =  \(n^{9}\)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(m^{7}\) ÷ m²

= \(m^{7}\) / m²

= \(m^{7-2}\)

= \(m^{5}\)

n³ x n³ x n³

= \(n^{3+3+3}\)

= \(n^{9}\)

Thus,

The final value for the expression

\(m^{7}\) ÷ m² is \(m^{5}\)

n³ x n³ x n³ =  \(n^{9}\)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Given : Triangles abc and def have corresponding angles measuring 40.To determine additional information that is sufficient to determine the triangles ABC and DEF, we need more specific details about the triangles. The given information that the corresponding angles measure 40 degrees is not enough to determine the triangles uniquely.

To fully determine the triangles, we would need one of the following:

Side-Side-Side (SSS) congruence: If we know the lengths of three corresponding sides in both triangles, we can determine if the triangles are congruent.

Side-Angle-Side (SAS) congruence: If we know the lengths of two corresponding sides and the measure of the included angle in both triangles, we can determine if the triangles are congruent.

Angle-Angle-Side (AAS) congruence: If we know the measures of two corresponding angles and the length of the side included between those angles in both triangles, we can determine if the triangles are congruent.

Angle-Side-Angle (ASA) congruence: If we know the measures of two corresponding angles and the length of the side opposite one of those angles in both triangles, we can determine if the triangles are congruent.

Without any of these additional pieces of information, we cannot uniquely determine the triangles ABC and DEF.

Complete Question:- Triangle ABC and DEF each have a corresponding angle measuring 40˚. Which additional piece of information is sufficient to determine whether these two triangles are similar?

To know more about triangles , visit

https://brainly.com/question/2773823

#SPJ11

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

Calculate discriminant :

\(\qquad \sf  \dashrightarrow \: 3 {x}^{2} + 6x - 1\)

\(\qquad \sf  \dashrightarrow \: discriminant = {b}^{2} - 4ac\)

\(\qquad \sf  \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)\)

\(\qquad \sf  \dashrightarrow \: d = 36 - 12\)

\(\qquad \sf  \dashrightarrow \: d = 24\)

\(\qquad \sf  \dashrightarrow \: \sqrt {d} = 2 \sqrt{6} \)

Now, let's calculate it's roots ( x - intercepts )

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a} \)

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3} \)

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6} \)

So, the intercepts are :

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6} \)

and

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6} \)

Answer:

\(\left( \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ 0\right), \ \left(\dfrac{ -3 - 2\sqrt{3}}{ 3}, \ 0\right)\)

Explanation:

Given expression:

f(x) = 3x² + 6x - 1

Use quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ where \ ax^2 + bx + c = 0\)

Here after finding coefficients:

Applying formula:

\(x = \dfrac{ -6 \pm \sqrt{6^2 - 4(3)(-1)}}{2(3)}\)

\(x = \dfrac{ -6 \pm \sqrt{48}}{6}\)

\(x = \dfrac{ -6 \pm 4\sqrt{3}}{6}\)

\(x = \dfrac{ -6 \pm 4\sqrt{3}}{2 \cdot 3}\)

\(x = \dfrac{ -3 \pm 2\sqrt{3}}{ 3}\)

\(x = \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ \dfrac{ -3 - 2\sqrt{3}}{ 3}\)

Answer

a) If x pizzas are ordered at each of the two restaurants, the total charges at each of the restaurants is then

First Restaurant = (8 + 16x) dollars

Second Restaurant = (2 + 17x) dollars

b) The equation for when the total charge is the same for the two restaurants is

(2 + 17x) = (8 + 16x)

On solving, we see that the two restaurants will have the same total charge when 6 pizzas are order4ed at each of the restaurants.

Explanation

The first restaurant has a delivery charge of $8 for the entire purchase and $16 per pizza.

The second restaurant has a delivery charge of $2 for the entire purchase and $17 per pizza.

a) If x pizzas are ordered at each of the two restaurants, the total charges at each of the restaurants is then

First Restaurant = (8 + 16x) dollars

Second Restaurant = (2 + 17x) dollars

b) When the total charge is the same for the two restaurants,

The total charge at second restaurant = The total charge at the first restaurant

(2 + 17x) = (8 + 16x)

17x - 16x = 8 - 2

x = 6

Hope this Helps!!!

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

Learn more about the Law of Cosines at : https://brainly.com/question/30766161

#SPJ11