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:

Answer: 5,1

Step-by-step explanation:

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!

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}

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

Answer:

47.21

Step-by-step explanation:

a=47.4

b=0.19

a – b

47.4 – 0.19

=47.21

Answer: 47 mins

Step-by-step explanation:

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

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

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

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.

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).

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

Step-by-step explanation:

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

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

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 :)

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.

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

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.

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

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

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

Answer:

6. 4/1  7. 4/2

Step-by-step explanation:

that's all I got I hope it helps.

Answer:

a=14

b=166

c=166

d=166

e=166

f=14

x=5

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:

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.

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

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

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

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

f(-4) = 12

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

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

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

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

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

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

Answer: 6

Step-by-step explanation:

40x0.15

6 are teens

1.716762 is the correct solution up to 6 decimal places by using 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

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.

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

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

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

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.