reuben's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs reuben $4.10 per pound, and type b coffee costs $5.35 per pound. this month's blend used four times as many pounds of type b coffee as type a, for a total cost of $586.50. how many pounds of type a coffee were used? numberofpoundsoftypeacoffee:

Answers

Answer 1

23 pounds of type A coffee were used and 92 pounds of type B coffee were used, using the concept of formula equation we get -

What is formula equation?

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Let assume that, x represent the number of pounds of type A coffee that were used in the blend.

and y represent the number of pounds of type B coffee that were used in the blend.

Type A coffee costs Lena $4.10 per pound, and type B coffee costs $5.35 per pound.

The total cost of the mixture is $586.50.

Now,

4.10x + 5.35y = 586.50 ............ (i)

This month's blend used four times as many pounds of type B coffee as type A.

so, y = 4x

Substituting y = 4x into equation (i), we get -

4.10x + 5.35 × 4x = 586.50

or, 4.10x + 21.4x = 586.50

or, 25.5x = 586.50

or, x =  586.50/25.5

or, x = 23

Next, y = 4x = 4 × 23

y = 92

To know more about equation refer to:

https://brainly.com/question/29797709

#SPJ4


Related Questions

Slope of (-8,-3) and (-8, -19)

Answers

Answer:

Undefined

Step-by-step explanation:

Knowledge Needed

Slope if is the constant change of the y-value when the x-value increases by 1 on a line.

Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Question

Plug in your points.

[tex]\frac{-19--3}{-8--8}[/tex]

[tex]\frac{-16}{0}[/tex]

Any number divided by 0 is undefined.

The slope is undefined. This means the line is completely vertical.

what is the answer to this question?

Answers

Answer:

47.21

Step-by-step explanation:

a=47.4

b=0.19

a – b

47.4 – 0.19

=47.21

pirya has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake how many cups does she need for the whole cae

Answers

Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

What is fraction?

A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.

How to solve?

she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

To learn more about fraction, visit:

https://brainly.com/question/20593515

#SPJ4

If a firework is launched vertically upwards from a height of 20 feet above the ground. Its path is give by h(t)=-4t+16t+20, where h is the height of feet and t is the time in seconds.


can someone help me find the right answers for this with scratch work? i'm struggling quite a bit.
when is the firework at max height?
What was the highest point that the firework reached?
What is the starting point of the firework?
How high is the firework after 3 seconds?
When does the firework hit the ground?

Answers

The time of the maximum height is of 2 seconds.The maximum height of the firework is of 36 feet.The starting point of the firework is of 20 feet.After 3 seconds, the firework is at a height of 32 feet.The firework hits the ground after 5 seconds.

What is the quadratic function?

The quadratic function defining the height of the firework in this problem after t seconds is given as follows:

h(t) = -4t² + 16t + 20.

From this definition, we can get the h-intercept giving the starting point of the firework, as follows:

h(0) = -4(0)² + 16(0) + 20 = 20 feet.

The height after 3 seconds is calculated with the numeric value as follows:

h(3) = -4(3)² + 16(3) + 20 = 32 feet.

The coefficients of the quadratic function are given as follows:

a = -4, b = 16, c = 20.

Due to the negative coefficient a, this is a concave down function, meaning that the vertex is a maximum point.

The t-coordinate of the vertex is given as follows:

tv = -b/2a = -16/2(-4) = -16/-8 = 2.

Then the maximum height of the firework is of:

h(2) = -4(2)² + 16(2) + 20 = 36 feet.

The firework hits the ground when h(t) = 0, hence, using a quadratic function calculator, the time is of:

5 seconds. (positive root).

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

The line passes through
(14,-6) and has a slope = -2/7

Answers

The equation of the line passing through the given points and having slope -2/7 is obtained as y = -2/7m - 2.

How to write the equation of a straight line in slope-intercept form?

A straight line can be written in the slope-intercept form as, y = mx + c.

In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.

The given point and the slope for line are as (14,-6) and -2/7 respectively.

The general form of slope-intercept equation is as below,

y = mx + c

Substitute the value of x = 14, y = -6 and m = -2/7 to get,

-6 = -2/7 × 14 + c

⇒ c = -6 + 4 = -2

Thus, the equation can be written as follows,

y = mx + c

Substitute m = -2/7 and c = -2 to obtain,

y = -2/7x + (-2)

⇒ y = -2/7m - 2

Hence, the equation of the line is given as y = -2/7m - 2.

To know more about slope-intercept form click on,

https://brainly.com/question/29146348

#SPJ1

Do males or females like basketball more? Show both raw numbers and percentages.

Answers

We can infer from the data set provided that more women than men are interested in basketball.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

From table given in question

Number of males that like basketball = 21

Number of females that like basketball = 29

Percentage of males that like basketball =  (21/50)*100 = 42%

Percentage of females that like basketball =  (29/50)*100 = 58%

So, from above data we can conclude that females like basketball more than that of males.

Learn more about percentage here:

https://brainly.com/question/24877689

#SPJ1

A clothesline rope is 8 feet long. Which of these is another way to express 8 feetanother

Answers

Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.

What do you mean by unit?

A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.

What do you mean by unit conversion?

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.

l= 8 feet

In inches, l= 96 inches

In meter, l =2.43 meters

In kilometer, l = 0.0024 kilometers

To learn more about unit conversion visit:

https://brainly.com/question/4736731

#SPJ1

Using the unit conversion concept of mathematics and converting the length provided into various units , There are multiple ways to express 8 feet such as in inches, meter or kilometer and many more.

What do you mean by unit?

A unit is a reference value established by law or convention that is used as a benchmark to measure an object's physical characteristic.

What do you mean by unit conversion?

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.
l= 8 feet
In inches, l= 96 inches
In meter, l =2.43 meters
In kilometer, l = 0.0024 kilometers

To learn more about unit conversion visit:
https://brainly.com/question/97386
#SPJ1


Consider the points (-2,4), (-1, 1), (0, 0), (1, 1), and (2,4).
Does this represent a function?
A) Yes
Β) No

Answers

It’s a function each input has only one output

Use the diagram to the right to answer the
following questions.
a. Using parallel line relationships, find the value of
x. Use the relationship between the two marked
angles to set up your equation.
Show your work to support your answer. (

Answers

Answer:

a=14

b=166

c=166

d=166

e=166

f=14

x=5

Given that ⧍PQR≅⧍TSU, name the corresponding angles and segments.

Answers

Answer: 5,1

Step-by-step explanation:

Geometry work number 6

Answers

The geometry work number 6 has line MN parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.

What are parallel lines

In geometry, parallel lines are straight lines that do not intersect or meet at any point.

Considering the triangle in the geometry work number 6,

the straight lines MN and YX can continue in same plene and will never meet at any point, so there are said to be parallel to each other.

the straight lines WY and NX can continue in their direction and will not intersect each other, so they are said to be parallel to each other.

and also, the straight lines WX and MO are parallel to each other because they can not intersect each other at any point.

Therefore, we can say that line MN is parallel to line YX, line WY is parallel to line NX and line WX is parallel to line MO.

Learn more about parallel lines here:https://brainly.com/question/26961508

#SPJ1

Solve for x.
-12< -3x - 15 < 36
Enter your answer, as one inequality, in the box.

Answers

Step-by-step explanation:

-12 < -3x - 15 <= 36 | add 15 everywhere

3 < -3x <= 51 | divide by 3 everywhere

1 < -x <= 17 | multiply by -1 everywhere

-1 > x >= -17

or

-17 <= x < -1

remember that with every multiplication or division of a negative number the orientation of the inequality signs flip.

the same happens, of course, when we exchange the upper and lower limits from left to right and right to left, so that the smaller number is on the left, and the larger number on the right (yes, -1 is larger than -17).

Which of the following equations represent linear functions?





a.) y=x2


b.) y=3x+2


c.) y=6


d.)y=x−−√

Answers

Answer:

b.) y=3x+2

Step-by-step explanation: The linear equation is y= mx + b

m is the slope and b is the y-intercept

Answer b is the linear equation!

marcus is a gardener .he pulls weeds for 18 min waters for 13min and plants for 16 min.how many total min does he spent gardening

Answers

Answer: 47 mins

Step-by-step explanation:

18 min pulls weeds +  13min water + 16 min plant = 47 mins

Use the following function rule to find f(–4).

f(x) =
–4 +
4
|x|

f(–4) =

Answers

By evaluating the function in x = -4, we will get:

f(-4) = 12

How to evaluate the function f(x)?

Here we have the following function:

f(x) = -4 + 4*|x|

So we have an absolute value function.

We want to find f(-4), so we want to evaluate the function in x = -4, to do that, just replace the variable by that number.

We will get:

f(-4) = -4 + 4*|-4|

Remember that the absolute value of a negative number gives the opposite:

|-4| = 4

Then:

f(-4) = -4 + 4*|-4|

f(-4) = -4 + 4*4

f(-4) = -4 + 16 = 12

f(-4) = 12

Learn more about evaluating functions:

https://brainly.com/question/1719822

#SPJ1

PLEASE HELP!! WILL GIVE BRAINLIEST AND 25 POINTS!!

Find the value of x. Round your answer to the nearest degree.

A. 18°

B. 21°

C. 22°

Answers

Answer:

Sin(angle) = Opposite /  hypotenuse

Sin(x) = 5/14

X = arcsin(5/14)

x = 20.9

X = 21 degrees.

the answer is da da b!

Step-by-step explanation:

please help me with this

Answers

Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.

Given that, in triangle IJK, JK=18, KI=11, and IJ=14.

What is the triangle inequality theorem?

If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

Here, JK is the longest side and KI is the shortest side

So, opposite to side JK, angle I is the biggest and opposite to the side KI angle J is the smallest

Here, the measure of IJ is greater than the side KI, then the angle K opposite to side IJ is greater than the angle J

Thus, m∠I>m∠K>m∠J

Measure of angle I greater than angle K and J. Therefore, option D is the correct answer.

To learn more about the triangle inequality theorem visit:

https://brainly.com/question/1163433.

#SPJ1

How many solutions does the following equation have?
-14(z-5) = -14z +70
Choose 1 answer:
A. No solutions
B. Exactly one solution
C. Infinitely many solutions

Answers

Answer: C. Infinitely many solutions

Step-by-step explanation: If the answer is <0, then there is no solution; if it is >1, then there is more than one solution; if = 0, then there are Infinitely many solutions

-14(z-5) = -14z +70 can be write as

-14z + 70 = -14z + 70

-14z = -14z

 z= 0

Because the answer is 0 so there Infinitely many solutions

If you can, please give me a Brainliest; thank you!

Answer:

C. Infinite many solutions.

Step-by-step explanation:

Simplify the left side of the equation. Note the parenthesis. Distribute -14 to all terms within the parenthesis:

-14(z -  5) = -14z + 70

-14z + 70 = -14z + 70

C. Infinitely many solutions is your answer, as no matter what number you plug in for the variable z, the equation would still be true.

Learn more about amount of solutions, here:

https://brainly.com/question/13712241

. The graph shows the amount of cleaning
product dispensed when using a spray
bottle. Determine if the linear
relationship is proportional. Find and
interpret the slope. Then find the unit
rate and compare it to the slope.

Answers

The required proportional relationship is given as y = 3/2x.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
From the graph,
It seems that the relationship given is a proportional relationship,
Now locate two points on the graph, as (0, 0) and (2, 3)
The equation of the line function is given as,
y - 0 = [3 / 2] (x - 0)
y = 3/2x

Thus, the required proportional relationship is given as y = 3/2x.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

What i the lope of the line that pae through the point (-7, -8)(−7,−8) and (-5, -6)(−5,−6)? Write your anwer in implet form

Answers

For the provided points (-7,-8) and (-5,-6) on the line, the slope is 1.

What is slope?

The slope of a line is a measure of its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Here,

Slope=(y2-y1)/(x2-x1)

=(-6-(-8))/(-5-(-7))

=2/2

=1

The slope of the line for given point (-7,-8) and (-5,-6) will be 1.

To know more about slope,

https://brainly.com/question/28771374

#SPJ4

they are 40 people in 15 teenagers what percentage of the people on your guestlist are teenagers

Answers

Answer: 6

Step-by-step explanation:

40x0.15

6 are teens

If the area of square 3 is 80 cm2 and the area of square 2 is 100 cm2, what is the area of square 1?

Answers

Answer: 180cm^2

Step-by-step explanation:

The equation is  a^2 + b^2 = c^2

a^2 = area of square 3 = 80cm^2

b^2 = area of square 2 = 100cm^2

c^2 = a^2 + b^2 = 80 + 100 = 180cm^2

So answer is 180cm^2

Use Newton's method to find all roots of the equation correct to six decimal places. e^x = 9 - 2x

Answers

1.716762 is the correct solution up to 6 decimal places by using Newton's method.

What is Newton's method?

The Newton's method is a potent tool, and in general, the convergence is quadratic: as the procedure approaches the root, the discrepancy between the root and the approximation squares, almost doubling the number of accurate digits at each step. The approach does, however, have significant drawbacks. The phrase "Newton's method" refers to Isaac Newton's explanation of a particular application of the method in his books De analysi per aequationes numero terminorum infinitas, which he wrote in 1669 and had William Jones publish in 1711, and De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).

Given,

f(x)=eˣ+2x-9

f'(x)=eˣ+2

ˣₙ₊₁=ˣₙ-f(ˣₙ)/f'(ˣₙ)

Let, n=1

x₂=1.9074740

x₃=1.7299338

x₄=1.716825

x₅=1.7167621

x₆=1.716762

x₅≈x₆

Therefore, 1.716762 is the correct solution up to 6 decimal places.

To know more about Newton's method, visit:

https://brainly.com/question/14865059

#SPJ1

please help 30 points, giving brainliest!!! ( DO ONLY 5-8) (USE RISE OVER RUN) (FIND SLOPE)

picture is attached :) ty!!

Answers

Answer:

6. 4/1  7. 4/2

Step-by-step explanation:

that's all I got I hope it helps.

5. 0
6. 4
7. -2
8. Undefined

$25 jeans; 16% markup

Answers

29$ 16% of 25 is 4, so add it, and theres the answer

Step-by-step explanation:

Given the area of a rectangle is A = x^(2) - 3x - 18, answer the following questions: What is the length of each side? What is the perimeter of the rectangle? Please answer I'm giving 30 points.

Answers

The dimensions of the rectangle in terms of x  are (x-6) and (x+3).

What in mathematics is a quadratic equation?

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given that:

A = x^(2) - 3x - 18

By solving this equation we can get the values of length and breath of rectangle

A = x^(2) - 6x + 3x - 18

A = x(x-6)+3(x-6)

A = (x-6)(x+3)

Hence the area of rectangle is equal to L * W

Hence, the dimensions of the rectangle are (x-6) and (x+3).

Learn more about quadratic equation

https://brainly.com/question/1214333

#SPJ1

PLEASE HELP ASAP!!! THIS IS DO TN HELP WOULD BE VERY APPRECIATED<3

Answers

Answer:

1

Step-by-step explanation:

3(-0.5)+2(7+0.8)

13+1.1

-1.5+2(7+0.8)

13+1.1

-1.5+15.6

14.1

14.1

14.1

divide

1

hope that helps :)

See screenshot below.

Answers

The union of the sets D and E, denoted by the expression, D ∪ E where, set D = {2, 5, 7}, and the set E = {2, 4, 5, 6} is D∪E = {2, 4, 5, 6, 7}

What is a set in set theory?

A set comprises of a collection of members or elements which are objects in the set that together are taken as one object by itself.

The specified sets are;

D = {2, 5, 7}

E = {2, 4, 5, 6}

F = {1, 3, 4, 5, 7}

The union of two sets is the set of the elements in each of the set in the union, including the elements that are in both sets in the union.

The symbol used to indicate a union between two sets is the '∪'

The union of the set D and E is therefore;

D ∪ E = {2, 5, 7} ∪ {2, 4, 5, 6}

The elements in the union are therefore; 2, 2, 4, 5, 5, 6, 7

The numbers values are to be represented once in the set, such that the union of the set becomes; 2, 4, 5, 6, 7.

D ∪ E = {2, 4, 5, 6, 7}

The number of elements in the union of the set D and E is 5 elements, including 2, 4, 5, 6, and 7

Learn more about set theory in mathematics here:

https://brainly.com/question/16809658

#SPJ1

A shop has a sale of 1/3

off all items in stock.
If the original price of a dress is £42, what would be its sale price?

Answers

Answer:

£ 76

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Multiply 42 by 1/3 which is 14.

Then subtract 42-14 because your subtracting the discount from the original price which gives you 28.

Which equation represents how to determine the speed of an object?

Answers

The equation that the speed of an object is speed = distance/time

How to determine the equation of an object

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

Parameter = Object

Argument = Speed

By definition, the speed of an object is the ratio of the distance moved by the object and the time travelled by the object

Mathematically, this can be represented as

Speed = Distance : Time

Express as fraction

Speed = Distance/Time

Hence, the equation is Speed = Distance/Time

Read more about speed at

https://brainly.com/question/14335655

#SPJ1

Other Questions
a client with borderline personality disorder (bpd) who is receiving dialectical behavior therapy as part of his treatment program is participating in a skills group. the client is learning how to be assertive and problem solve. which type of skills group is the client involved with? Select all that applyWhich businesses would be categorized as "multinational organizations," as opposed to "multinational corporations"? (Choose every correct answer.)Exxon MobilInternational Red CrossJohnson & JohnsonWorld Health Organization During the aftermath of World War I, we can see us positioning itself as one of the leaders in global affairs. What is one example of the us doing this after the war? a client with alzheimer's disease is admitted for hip surgery after falling and fracturing the right hip. the client's spouse tells the nurse about feeling guilty for letting the accident happen and reports not sleeping well lately because the spouse has been getting up at night and doing odd things. which nursing diagnosis is most appropriate for the client's spouse? what you would do as an anthropologist regarding these customs based on what you have learned about the work of anthropology throughout the semester. Would you work to eliminate these customs because they cause harm to some members of the community? Or, would avoid changing any aspect of these cultures simply because their customs offend our sensibilities? asmita went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. asmita has had good luck at blackjack in the past, and she actually got three blackjacks with aces in a row the last time she played. because of this lucky run, asmita thinks that ace is the luckiest card. the dealer deals the first card to her. in a split second, she can see that it is a non-face card, but she is unsure if it is an ace. what is the probability of the card being an ace, given that it is a non-face card? answer choices are in a percentage format, rounded to the nearest whole number. how many ways can we have the 2n people stand in a line so that no person is standing next to their spouse? Lake Erie, the smallest of the Great Lake by volume, still holds an impressive 116 cubic miles of water. Suppose you start today dumping out the entire volume of Lake Erie using a cone cup. A typical cone cup has a diameter of 2 and 3/4 inches and a height of 4 inches. About how long would it take you to empty the lake if you could dump out one cup per second? 6. You and a friend go to the store and purchase 3 candy bars that cost $0.84 each and 2 sodas that cost $1.80 each. You are going to split the cost. You pay for your half with a five dollar bill. How much change will you receive? Please SHOW your work.A. $3.06B. $1.60C. $6.12D. $1.94 ________ streams begin in moist regions and flow downstream into arid landscapes with high evapotranspiration.A. PerennialB. IntermittentC. EphemeralD. TemporaryE. Exotic Conservation biologists are trying to save a population of orchids in Hawaii from extinction. If the population currently contains about 50 individuals and is expected to sustain an r of 0.048, predict the size of the population in 10 years.Using Equation 51.6, Nt = 50e(0.048)(10) = 81; the orchid population will grow to only about 81 individuals in 10 years. the text notes two ways a company can address the economic risk that comes from foreign investments. what are those two ways? cells synthesize a variety of complex molecules to include proteins, nucleic acids, lipids and carbohydrates. a large majority of the molecules that cells make are proteins. which three organelles are most involved in synthesizing proteins? A pharmaceutical person earns a 12% of commission of the total sales of the stains that he sell to the hospital. If he earns 800,000.00 in commission function rule to find f(21) analysis of the spinal tap shows the presence of gram-negative bacteria cocci; for this age group which bacteria would be the probable cause of these symptoms? sahra, who thought that poetry was useless when she was in high school, ends up majoring in math at michigan, hanging out with a lot of other stem majors, and thinking poetry is even more useless. remi, who didn't like math in high school, ends up majoring in english at michigan, hanging out with a lot of other humanities majors, and liking math even less. this is most clearly an example of: PLEASEEEE HELPPP WORTH 100 POINTS!! A small box measures 6in by 11in by 13 in high. Find the volume of the box. T/F. influenza viruses that have undergone antigenic drift are more problematic than those that have undergone antigenic shift because antigenic drift leads to annual influenza epidemics.