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
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please help me with this
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.
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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. (
Answer:
a=14
b=166
c=166
d=166
e=166
f=14
x=5
Slope of (-8,-3) and (-8, -19)
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.
Geometry work number 6
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 linesIn 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.
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what is the answer to this question?
Answer:
47.21
Step-by-step explanation:
a=47.4
b=0.19
a – b
47.4 – 0.19
=47.21
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.
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).
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Solve for x.
-12< -3x - 15 < 36
Enter your answer, as one inequality, in the box.
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).
please help 30 points, giving brainliest!!! ( DO ONLY 5-8) (USE RISE OVER RUN) (FIND SLOPE)
picture is attached :) ty!!
Answer:
6. 4/1 7. 4/2
Step-by-step explanation:
that's all I got I hope it helps.
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
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.
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Given that ⧍PQR≅⧍TSU, name the corresponding angles and segments.
Answer: 5,1
Step-by-step explanation:
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
Answer: 47 mins
Step-by-step explanation:
18 min pulls weeds + 13min water + 16 min plant = 47 mins
Use Newton's method to find all roots of the equation correct to six decimal places. e^x = 9 - 2x
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.
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See screenshot below.
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
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Which of the following equations represent linear functions?
a.) y=x2
b.) y=3x+2
c.) y=6
d.)y=x−−√
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!
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°
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:
Consider the points (-2,4), (-1, 1), (0, 0), (1, 1), and (2,4).
Does this represent a function?
A) Yes
Β) No
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
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.
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Do males or females like basketball more? Show both raw numbers and percentages.
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.
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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?
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.
$25 jeans; 16% markup
29$ 16% of 25 is 4, so add it, and theres the answer
Step-by-step explanation:
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?
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 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.
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.
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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?
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).
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they are 40 people in 15 teenagers what percentage of the people on your guestlist are teenagers
Answer: 6
Step-by-step explanation:
40x0.15
6 are teens
PLEASE HELP ASAP!!! THIS IS DO TN HELP WOULD BE VERY APPRECIATED<3
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 :)
Use the following function rule to find f(–4).
f(x) =
–4 +
4
|x|
f(–4) =
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
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The line passes through
(14,-6) and has a slope = -2/7
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.
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Which equation represents how to determine the speed of an object?
The equation that the speed of an object is speed = distance/time
How to determine the equation of an objectFrom 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
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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
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.
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A clothesline rope is 8 feet long. Which of these is another way to express 8 feetanother
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
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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
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