Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture

Answers

Answer 1

Answer:

mocha madness = 30 pounds

Step-by-step explanation:

Let

x =  Mocha Madness

y = Sumatra Sweetness

two equations can be derived from the question

x + y = 40 equation 1

12x + 20y = 14 x 40 equation 2

Multiply equation 1 by 12

12x + 12y = 480 eqn 3

subtract eqn 2 from 3

8y = 80

y = 10

substitute for y in equation 1

x + 10 = 40

x = 40 - 10

x = 30

8y = 180

y = 10 pounds

x = 30 pounds


Related Questions

the sum of legs for a right triangle be 21 and their product is 40. Find the perimeter of this triangle.​

Answers

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

The sum of legs for a right triangle is 12:

[tex] a + b = 21 [/tex]

[tex] a = 21 - b [/tex]   (1)

And their product is:

[tex] a*b = 40 [/tex]   (2)

By entering eq (1) into (2) we have:

[tex] (21 - b)b = 40 [/tex]                          

[tex] 21b - b^{2} - 40 = 0 [/tex]  

We can find the value of "b" by solving the above quadratic equation.

[tex] b_{1} = 2.1 [/tex]

[tex] b_{2} = 18.9 [/tex]

Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.      

[tex] a = 21 - 2.1 = 18.9 [/tex]                                                                              

Now, the hypotenuse of the right triangle is given by:

[tex] h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 [/tex]

Hence, the perimeter is:

[tex] P = a + b + h = 18.9 + 2.1 + 19 = 40 [/tex]

Therefore, the perimeter of the triangle is 40.

I hope it helps you!          

QUICK HELP PLEASE! THANK YOU SO MUCH
When the shown net containing the letters SPROUT is
folded into a cube, which letter is on the side opposite the side labeled R?

Answers

Answer:

 T

              fold it up =t

Step-by-step explanation:

what is the equation of linear regression that fits the data​

Answers

Answer:

Option D

Step-by-step explanation:

From the table attached,

Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)

By using linear regression calculator,

Equation of the regression line → y = -8.583x + 475.215

Option D will be the answer.

Find the missing variables

Answers

Answer:

90

Step-by-step explanation:

Answer:

[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]

I hope I helped you ^_^

What is the slope of the line shown below?

Answers

Answer:

Step-by-step explanation:

x1 y1  x2 y2

-4 3  3 1

   

ΔY -2    

ΔX 7    

   

slope= -  2/7    

Joe receives a cake for his birthday. He eats $\frac{1}{4}$ of the cake on the first day. On the second day, he eats $\frac{3}{4}$ of the amount of cake that is left after the first day. What fraction of a whole cake is left for Joe to eat on the third day

Answers

Answer:

3 / 16

Step-by-step explanation:

Let The total amount = x

Fraction eaten on first day = 1/4x

Fraction left = x - 1/4x = 3/4x

Fraction of amount left eaten on second day = 3/4 of 3/4x

3/4 * 3/4x = 9/16x

Fraction left :

3/4x - 9/16x = (12x - 9x) /16 = 3/16x

Hence, fraction left = 3/16

pls pls help help help

Answers

Answer:

the diameter form for your help today with the app

Step-by-step explanation:

pa brain less

Sarah used 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries are needed per cup of jam?

Answers

  3/4÷ 2/3=   3/4*3/2= 9/8= mixed fraction 1  1/8 pounds.

en una carrera de 5 vueltas de la F1 online el jugador 1 consigue un tiempo de 2,32 minutos y el jugador 2 consigue 18 segundos mas que el jugador 1 en la segunda vuelta el jugador 1 obtiene un tiempo de 2,52 minutos y el jugador 2 20 segundos menos que el jugador 1, en la tercera vuelta ambos jugadores consiguen un tiempo de 2,18 minutos ¿Cual es la diferencia en el tiempo total de la carrera entre los jugadores 1 y 2?

Answers

Answer:

La diferencia del tiempo total de carrera entre el jugador 1 y 2 es 0.0[tex]\overline 3[/tex] minutos

Step-by-step explanation:

Primera vuelta;

El tiempo de vuelta del jugador 1 = 2,32 minutos

El tiempo de vuelta del jugador 2 = 18 segundos más que el del jugador 1

Por lo tanto, el tiempo de vuelta del jugador 2 = (2,32 + 18/60) minutos = 2,62 minutos

Segunda vuelta

El tiempo de vuelta del jugador 1 = 2,52 minutos

El tiempo de vuelta del jugador 2 = 20 segundos menos que el del jugador 1

Por lo tanto, el tiempo de vuelta del jugador 2 = (2.52 - 20/60) minutos = 2.18[tex]\overline 6[/tex] minutos

Tercera vuelta

El tiempo de vuelta del jugador 1 = 2,18 minutos

El tiempo de vuelta del jugador 2 = 2,18 minutos

El tiempo de vuelta total del jugador 1 = (2,32 + 2,52 + 2,18) minutos = 7,02 minutos

El tiempo de vuelta total del jugador 2 = (2,62 + 164/75 + 2,18) minutos = 524/75 minutos = 6.98[tex]\overline 6[/tex] minutos

La diferencia del tiempo total de carrera = (7.02 - 524/75) minutos = (1/30) minutos = 0.0[tex]\overline 3[/tex] minutos

this 2 pls i need help with explanation sum

Answers

9514 1404 393

Explanation:

8.

An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.

The above relation tells us ...

  ∠PRS = ∠PQR +∠QPR = 2q +2p

Then ...

  ∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p

and

  ∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior

  q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR

  p = ∠QTR = 1/2(∠QPR) . . . . . subtract q

__

9.

For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...

  ∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°

Substituting the congruent angles, this gives ...

  ∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation

Solve
1+2+3+...+2017

Answers

Answer:

1 + 2 + 3 + ... + 2017

sum_(n=1)^2017 n = 2035153

Step-by-step explanation:

ahla
S : Assignment
乡,一石​

Answers

Answer

what's the question?

Step-by-step explanation:

looks like your question is missing information

question on image
....​

Answers

Answer:

1/5

Step-by-step explanation:

8/40->4/20->2-10->1/5

Hope this helps!

Answer:

1\5

Step-by-step explanation:

8/40 = 4/20 = 2/10 = 1/5

Please help thank you!

Answers

Answer:

A≈376.99yd²

d= 10yd

h = 7yd

hope it helps

solve the linear equation
x/2-3x/4+5x/8=9
I need the full solution X by 2 minus 3x by 4 + 5x by 8 equal to 9 ​

Answers

Answer:

24

Step-by-step explanation:

x/2-3x/4+5x/8=9

Or,(4*x-2*3x+5x)/8=9. (taking LCM)

Or, (4x-6x+5x)/8=9

Or, 3x=9*8

Or, x = 72/3

so, x=24.

You are designing a rectangular fenced outdoor space for your pet rabbit. Fencing
material costs $15.25 per metre. You have $200. What dimensions give the greatest
area, to the nearest tenth of a metre? Include a sketch of the fenced area.

Answers

Answer:

2.6 x 5

Step-by-step explanation:

2.6 x 5 is 13 x 15.25 is 198.25 and you can't go any higher than that or it will go over 200 so the dimensions that give the greatest area would be 2.6 and 5, good luck

Find the equation of the line.
Use exact numbers.
y= x+

Answers

Y=-1/3x+-6, you could also use mathpapa and it really helps by the way, hopefully this is right

If the number of degrees in a certain angle added to the number of grades in the angle is 76, find the angle in degrees.

Answers

x=angle
x+(10/9)x=(19/9)x=76
x=(76*9/19)=36

3x+2y=4
4x+5y=10
solve the simultaneous equations (find x & y)

Answers

Answer: (0;2)

3x + 2y = 4 | * (-5)

4x + 5y = 10 | * 2

-15x - 10y = -20

8x + 10y = 20

-15x - 10y + 8x + 10y = 20 - 20

x = 0

0 + 2y = 4

2y = 4

y = 2

(0; 2)

The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b

where m is:
and where b is:

Answers

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

-64/7 = b

So, m is -12/7 and b is -64/7

The linear function is given by:

[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]

Where:

m is [tex]-\frac{12}{7}[/tex].b is [tex]-\frac{64}{7}[/tex].

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the points are (−10,8) and (−3,-4).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{-4 - 8}{-3 - (-10)} = -\frac{12}{7}[/tex]

Hence:

[tex]y = -\frac{12}{7}x + b[/tex]

It goes through point (−3,-4), hence when [tex]x = -3, y = -4[/tex], which is used to find b.

[tex]y = -\frac{12}{7}x + b[/tex]

[tex]-4 = \frac{36}{7} + b[/tex]

[tex]b = -\frac{64}{7}[/tex]

Hence, the equation is:

[tex]y = -\frac{12}{7}x - \frac{64}{7}[/tex]

You can learn more about linear functions at https://brainly.com/question/24808124

Find an equation of a line with a slope of -4 and having
the point (2,0) on the line. Then graph the line.

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

The formula for slope is: y = mx + b

Where m is slope and b is when the line intersects the y-axis.

Plug in:

y = -4x + 2

             

The two is the point in the line, and -4 is the slope.

Hope this helps.

Venn diagram of b union b​

Answers

Answer:

let b union b be

B={2,4,6,8} and B= {1,2,3,4,5}

then B union B = {1,2,3,4,5,6,8}

Step-by-step explanation:

Venn diagram of b union b is in the attachment

Hope it is helpful to you

Can some help? Plz :)

Answers

Answer:

C. 1.05 x 10^7

Step-by-step explanation:

1.75x10^4 x 600

=1050 x 10^4

=1.05 x 10^7

Which is f(5) for the function -2x^2+2x-3

Answers

Answer:

-43

Step-by-step explanation:

f(x) = -2x^2+2x-3

Let x = 5

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

     = -2(25)+10-3

     =-50+10-3

     = -43

‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏ ‎‏‏

Which are the
solutions of x2 = -7x - 8?

Answers

Answer: I think the answer is D

Step-by-step explanation:

Answer:

D is the answer (The last option)

Step-by-step explanation:

how do I solve this pls help khan academy is no smart

Answers

Answer:

3. If that doesn't work, try 1/3

Step-by-step explanation:

Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.

Please help. Somebody give an answer to this question please. I need a step by step explanation as well.

Answers

Answer:

15d² + 7d - 4

Step-by-step explanation:

Distribute

(5d + 4)(3d -1)

5d (3d - 1) + 4(3d - 1)

Distribute

15d² - 5d + 4(3d- 1)

Distribute

15d² - 5d + 12d- 4

Simplify

15d² + 7d - 4

ANSWER:
15d^2+7d-4

STEP BY STEP:
you can use F.O.I.L. to solve this (first,outer,inner,last)

first you multiply both of the first values in each set of parentheses, 5d and 3d to get 15d^2, then you multiply the terms on the outside, 5d and -1 to get -5d. then multiply the inner values, 4 and 3d to get 12d. because 12d and -5d are like terms, you combine them to get 7d. lastly, you multiply the last values in each parentheses, 4 and -1 to get -4

Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?

Answers

Answer:

$1,890

Step-by-step explanation:

To find the amount, we use the compound interest formula here

we have this as;

A = P(1 + r/n)^nt

Where ;

P is the amount invested which is $1,800

r is the interest rate which is 3.3% annually (3.3/100 = 0.033)

n is the number of times yearly interest is compounded which is 1 time yearly

t is the number of years which is 1.5 years

substituting these values, we have

A = 1800( 1 + 0.033)^(1 * 1.5)

A = 1,890

PLEASE HELP I WILL BE PICKING BRAINLIEST
Given the following equation where A = Area of a rectangle and w = width of the rectangle, what value of 'w' would maximize the area?

A = LW
P = 2L+2W
P = 100
w should be 625 units
w should be 25 units
w should be 0 units
w should be 50 units

Answers

Answer:

25

Step-by-step explanation:

Find the volume of the prism

Answers

Answer:

A prism is a polyhedron with two parallel, congruent faces called bases that are polygons

Other Questions
what weight is recorded by a scale when it is placed inside a lift which is in free fall? Enplain. Two streams merge to form a river. One stream has a width of 8.3 m, depth of 3.2 m, and current speed of 2.2 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.4 m/s. If the river has width 10.4 m and speed 2.8 m/s, what is its depth? 3(-4x - 3) + 50 - 5= 0 [tex]\frac{x+2019}{x^{2}+9 }[/tex] Determine if f(x, y) = 10 x^2 y^2is increasing or decreasing at (7, 3) if wetake y to be constant and let x vary. Also determine if f(x, y) is increasing at(7, 3) if we take x to be constant and let y vary. What is the equation of a line that passes through the point (1,8) and is perpendicular to the line whose equation is y=x/2+3? 1) Explicar la diferencia entre clima y tiempo meteorolgico. Describir los elementos meteorolgicos. How can you contribute to your nation in the future? Write in one paragraph. 1: what is safety aid?2: what is first aid ? Problem 1 Find the mBC. Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x 3 If a proton and electron both move through the same displacement in an electric field, is the change in potential energy associated with the proton equal in magnitude and opposite in sign to the change in potential energy associated with the electron?a. The magnitude of the change is smaller for the proton. b. The magnitude of the change is larger for the proton. c. The signs Of the two changes in potential energy are opposite. d. They are equal in magnitude. e. The signs of the two changes in potential energy are the same. How would I do this?? Please help! Question and answers are in the pic A general wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out ? To what nation do the Galpagos Islands belong?A) EcuadorB) ChileC) BrazilD) Peru Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.Part A: Estimate the IQR for the males' data. (2 points)Part B: Estimate the difference between the median values of each data set. (2 points)Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)Part D: Provide a possible reason for the outlier in the data set. (2 points)PLEASE HELP ME!!! IVE BEEN AVOIDING THIS FOR SO LONG Initial sound of the words with its description: luxury, ready, moment, yellow, women Demand for a specific design of dinning sets has been fairly large in the past several years and Statewide Furnishings, Inc. usually orders new dinning sets 10 times a year. It is estimated that the ordering cost is $400 per order. The carrying cost is $50 per unit per year. Furthermore, State Wide Furnishings, Inc. has estimated that the stock out cost is $120 per unit per year. Based on forecast, the annual demand is 600 units. State Wide Furnishings, Inc. has 350 working days in a year and its lead time is 14 working days.Assume shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the annual ordering cost.a. 592.82 b. 1472.01 c. 2051.28d. 4116.11 e. None of the above honey is one of the best medicines (change into comparative)