A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer 1

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.


Related Questions

Find the sale price of an $18 item after a 50% discount.

Answers

Rewrite 50% as a decimal : 0.50

Multiply the price by 0.50:

18 x 0.50 = 9

The sale price is $9

Answer:

$9

Step-by-step explanation:

price of an item=$18

discount=50%

sale price =? (be x)

sale price= original price -discount% of original price

x=$18 -50/100 * $18

x=$1800-$900/100

=$900/100

=$9

therefore sale price of an item is $9.

I need to show my work but I don’t know how to do these can someone help me??

Answers

Use cymath.com it shows the steps to copy

write 36m÷9m in standard form

Answers

4x^2. This is the simplified answer

The expression (36m ÷ 9m) is equivalent to 4.

What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the following division as follows -

(36m ÷ 9m)

We have the following expression -

36m ÷ 9m

So, we can write -

(36m/9m)

36/9

4

Therefore, the expression (36m ÷ 9m) is equivalent to 4.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Can someone please help me create an equation for this circle?

Answers

Answer:

[tex](x-1)^2 + (y-1)^2 = 10[/tex]

Step-by-step explanation:

From the graph ,

Centre of the circle is (1, 1)

To find radius we find a point through which the circle passes and find the distance between the Centre and the point.

Let that point be (4, 0)

[tex]radius = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} = \sqrt{(1-4)^2 + (1-0)^2} = \sqrt{10}[/tex]

Equation of the circle :

[tex](x - a)^2 + (y-b)^2 = r^2 \ , \ where \ (a,b)\ is\ the\ centre\ of\ the\ circle\ and\ r\ is\ the\ radius\\\\(x-1)^2 + (y-1)^2 = 10[/tex]

Find the value of x. Give a reason to justify your solution.

Answers

Answer:

x =52

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.  (Exterior Angle Property)

x+72 = 90+34

x+72 = 124

x+72-72 = 124 - 72

x =52

Find the surface area plzzzzzz

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

WWhat is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)hat is the difference of the polynomials?

Answers

Expand the brackets
-2x3y2 + 4x2y3 - 3xy4 - 6x4y + 5x2y3 + y5
Collect like terms and arrange in order of powers
-6x4y - 2x3y2 + 9x2y3 - 3xy4 + y5

A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?

Answers

Answer:

180cm^3

Step-by-step explanation:

All you have to do is multiply everything together to get the volume. l x w x h

Answer:

The answer is 180 cubic centimeters.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).

Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.

por favor, me urge hacerla​

Answers

Answer: do you have this in english so that I can help

Step-by-step explanation:

Use the Substitution method to solve the system of equations

3x+4y=10

y=x-1

Answers

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

Answer:(2,1)

Step-by-step explanation:ap3x beans

What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.

Answers

Answer:

A cone with diameter 6 units

Step-by-step explanation:

Rotating the triangle about line m will give us a cone with radius 3

If the radius is 3, the diameter is 2*r = 2*3 = 6

Answer:

Step-by-step explanation:

a cone with a radius of 5

Find the distance from point P to RQ

Answers

Answer:

option A : about 2.8 units

Step-by-step explanation:

To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).

 [tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

                 [tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]

                 = 2.83 units

Answer:

A

Step-by-step explanation:

Remark

The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x2 = 1

x1 = 3

y2 = 1

y1 = 3

Solution

d = sqrt( (1 - 3)^2 + (1  - 3)^2 )

d = sqrt( (-2)^2 + (-2)^2 )

d = sqrt ( 4 + 4)

d = sqrt(8)

d = 2√2

d = 2.8

The coordinates of the two vertices of square QRST are Q(3.6, 2.1) and R(-5.4, 2.1) what is the length in units of each side of square QRST?

Answers

Answer:

the length of each side of the square QRST is 9 units.

Step-by-step explanation:

By using distance formula we find the distance between the two vertices Q and R therefore giving us the length of one side, 9 units. Since it is a square all the sides are equal in length, so each side of the square QRST is 9 units.

Hope this helps uwu

I am stuck on this question.

Answers

Answer:

D. Yes; the graph passes the vertical line test.

Step-by-step explanation:

1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.

2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.

3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.

4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."

sam can walk 1/3 mile in 12 minutes what is her average speed in miles per hour

Answers

Answer: 1.67 mph

Step-by-step explanation:

Given

Sam walk one-third of a mile in 12 minutes

There is 60 minutes in an hour i.e. Sam take

[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]

Average speed is given by

[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]

Solve this plz for god sake ​

Answers

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

Complete the equation for the relationship between the weight and number of months

Answers

Y=5.5x because I know


While attempting to multiply the expression (3x + 7)" a student made mistakes. Explain and write the correct way.

Answers

Answer:

9x²+42x+49

Step-by-step explanation:

that is not the correct way to foil.

the correct way would be (3x+7)²= (3x+7)(3x+7)

simplifying that would give us 9x²+42x+49

his mistake was multiplying wrong because he did not foil

If p q is true and q is true, then p is ___ true. Answer choices are always, never, sometimes

Answers

Answer:

sometimes

Step-by-step explanation:

What is the sum of the fraction below? 1/7+3/8

Answers

Answer:

29/56

Step-by-step explanation:

Here we're combining two fractions of different denominators, 7 and 8.  The LCD is the product of 7 and 8:  56.

1/7 is rewritten as 8/56 and 3/8 as 21/56.

Summing these up, we get 29/56

maths pi question. SEE ATTACHMENT

Answers

Answer:

r = 6cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/ pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

The radius is 6 cm

r = 6cm

Answer:

radius, r = 6cm

Step-by-step explanation:

[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]

(47.5+45.5+48.5+46.5+47+45+48+46+49)/9

:)

Answers

Answer:

47 and now I'm just typing so it lets me answer

Step-by-step explanation:

calculator


Which of the following sets of ordered pairs does not represent a function?
A {(1,2), (2, 3), (4, 5), (3, 3)}
B {(-1,3), (2, 3), (6,5), (7,3)}
C {(1, 2), (1, 3), (-4, 5), (3, 3)}
D {(-1, 2), (2, 2), (4, 2), (3, 2)}

Answers

The answer is C because every input should only have one output in this case we have (1,2) and (1,3)
The answer is c
Xd hope this helps

What is the slope of the line? Khan academy 15 points

Answers

Answer:

m = -8/5

Step-by-step explanation:

First determine how much x changes as we go from the first point to the second:  -1 to +4.  This change (the 'run') is 5 units.

Then find the change in y:  -4 - (4) = -8.  This change (the 'rise') is -8.

Thus the slope m = rise / run is m = -8/5

Helpppp i need this quick im taking a timed test!!!

Answers

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense

Solve logx − 1 16 = 4

Answers

Answer:

logx=120

Step-by-step explanation:

pls help me find num 6 & 7

Answers

Number 6 is B. And Number 7 is C

Answer: The answer of number 6 is D. The answer of number 7 is D.

Step-by-step explanation:

For number 6, y=110° because they are vertical angles. x=y=70°=180°-110°

For number 7, 180°-63°=117°=a

Giovanna has a score of

−5minus, 5 in Canasta. Vera's score is

Write an inequality that correctly compares the scores.

Answers

Answer:'

-9.7 minus, in 13

Step-by-step explanation:

Brainliest goes to whoever answers correctly I have other questions if you want more points

Answers

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

Other Questions
why are three Challenges in development of human resources in nepal? how can they be solved? A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose? This graph represents a population of molecules in a gas versus the distribution of the average velocity(speed) of its molecules in that population. Assume all molecules to be of the same mass. In reading the graph, it is important to note three things. One, is the most probable speed is at the peak of the curve. Secondly, the most probable speed increases as the temperature increases (so shift to the right), and the distribution broadens as it increases.On the graph, indicate the average kinetic energy of the population.Explain your answer.What part of the graph indicates the temperature of the sample?Explain your answer.Sketch a curve that represents the distribution of molecules at a temperature below the one shown. Label it as T2. Describe both T and T2 in terms of their average kinetic energy. Be specific and detailed.Submit your answer below. the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60. find the height of the pole Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (o) At which of the four labeled points on the titration curve below do you expect to find the highest concentration of hydroxideions?ABCD In some country the budget for defense exceeded the budget for education by $629.1 billion. If x represents the budget for education, in billions of dollars, how can the budget for defensebe represented?If x represents the budget for education, in billions of dollars, the budget for defense can be represented by Nick has an album that holds 800 coins each page of the album holds eight coins is 82% of the album is empty how many pages are filled with coins which angles are adjacent to each other ? Select all the apply (it wont ley me put 2 pictures so the question to this problem is) what is the longest name length? (i mark brainlist) :) The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form? can someone help with these two questions? dont worry if its wrong! With symbolism, authors use concrete objects to represent A. abstract ideas. B. general notions. C. universal truths. D. established facts. No link plz thanks in advance what is the pressure exerted, what is the pressure exerted by 50kg girl as she places her weight on one shoe if the heels area is 0.002m help me pls pls pls pls pls pls you are a bus driver .20 people get on , 12 people get off , 3 more get on 5 people get off with 20 more getting on . what "s the bus driver name ?you never said thatI don't knownone of the above D) Sum of the two adjacent angles is 140. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks) Where are the corresponding angles in the diagram below?ANSWERS:Answer #1: 1 and 5Answer #2: 1 and 3Answer #3: 2 and 4Answer #4: 2 and 7 Compare and contrast Mason's idea of a "constitutional council" with the modern Cabinet.