Answer: C
Step-by-step explanation:
For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.
TOA refers to opposite over adjacent, which would be
tan x = 10/18.
Hope this helps!
Find all angle measures in the diagram.
The measure of ZKJL =
The measure of ZNJM =
The measure of ZMJL=
Answer: 1. 45%
2. 32%
3. 67%
The price of bike one year ago was Rs.268000.The current price is Rs.290900.what is the increment percentage?
note answer to the nearest whole number.
The percentage increment of the bike is 86%
What is Percentage Increment?Percentage Increment is the percentage measurement of how much a certain figure changes or increases over time. It is the difference between the final value and the initial value, expressed in the form of a percentage.
How to determine this
When the price of a bike one year ago was Rs.268,000
i.e Initial value = Rs.268,000
The current price is Rs.290,900
i.e final value = Rs.290,900
To calculate the percentage increment
Percentage Increase = Final value - Initial value/Initial value * 100%
Percentage increase = Rs.290,900 - Rs.268,000/Rs.268,000 *100%
Percentage Increase = Rs.22,900/Rs.268,000 *100%
Percentage Increase = 2,290,000/268,000
Percentage Increase = 86%
Therefore, the percentage increment is 86%
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Could
7.7
cm
,
4.0
cm
,
7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and
1.7
cm
1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Choose 1 answer:
yes
or
no?
By triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
For example, is a, b and c be sides of triangle then a + b ≥ c.
Here, the sides of triangle are: 7.7 cm, 4.0 cm, 1.7 cm
Let a = 7.7 cm,
b = 4.0 cm,
c = 1.7 cm
consider the sum of sides b and c.
b + c = 4. 0 + 1.7
b + c = 5.7 cm
which is not greater than 7.7 cm (length of side 'a')
This means that, by triangle inequality theorem 7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.
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The complete question is:
Could 7.7 cm,4.0 cm, 1.7 cm be the side lengths of a triangle?
A small can of beans is 3 in. high with a 1 in. radius and sells for $1.49. Which can of beans is a better deal?
a. 9 in. high; 3 in. radius; sells for $39.95
b. 3 in. high; 2. in. radius; sells for $5.96
c. 3 in. high; 3 in. radius; sells for $13.41
Therefore, can b and c are the same better deal since they have the same price per cubic inch using the volume of a cylinder.
Volume of a cylinder calculation.
To compare which can of beans is a better deal, we need to calculate the volume of each can and divide it by the price. The can with the highest volume per dollar is the better deal.
a) The volume of the can is V=πr²h=(3.14)(3²)(9)=254.34 cubic inches. The price per cubic inch is $39.95/254.34 = $0.157, rounded to three decimal places.
b) The volume of the can is V=πr²h=(3.14)(2²)(3)=37.68 cubic inches. The price per cubic inch is $5.96/37.68 = $0.158, rounded to three decimal places.
c) The volume of the can is V=πr²h=(3.14)(3²)(3)=84.78 cubic inches. The price per cubic inch is $13.41/84.78 = $0.158, rounded to three decimal places.
Therefore, can b and c are the same better deal since they have the same price per cubic inch.
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A chemist wishes to make a 10% acid solution. she has a 4% acid solution and a solution that is 28% acid. how many liters of each should she use if she needs 5 liters of the 10% solution?
The chemist should use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.
Let's denote the volume of the 4% acid solution as x and the volume of the 28% acid solution as y, both in liters.
To make a 10% acid solution, we need to mix the two solutions in such a way that the resulting mixture has a total volume of 5 liters, and the concentration of acid in the mixture is 10%.
Since we want 5 liters of the final mixture, we can write the following equation based on the conservation of volume:
x + y = 5
The total amount of acid in the final mixture should be 10% of the total volume of the mixture, so we can write the following equation:
0.04x + 0.28y = 0.1(5)
On simplifying:
0.04x + 0.28y = 0.5
From the first equation:
y = 5 - x
Substituting into second equation:
0.04x + 0.28(5 - x) = 0.5
Simplifying and solving for x:
0.04x + 1.4 - 0.28x = 0.5
-0.24x = -0.9
x = 3.75
Using first equation,
x + y = 5
3.75 + y = 5
y = 1.25
Therefore, she needs to use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.
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PLEASE HELP!
Question 1: y is directly proportional to x. If y=5 when x is 25:
a) Find an equation for y in terms of x.
b) Use your equation from part a) to find y when x is 100.
Question 2:
y ∝ x and y=132 when x=10
a) Find the value of y when x=14.
b) Sketch the graph of this proportion for x>0 and mark two points on the line.
1) The value of an equation for y in terms of x is, y = 1/5x
And, y = 20 at x = 100
2) y = 184.8 , at x = 14
The value of an equation for y in terms of x is, y = 13.2x
Given that;
1) y is directly proportional to x.
2) y ∝ x and y=132 when x=10
Now, For 1;
1) Since, y is directly proportional to x.
Hence, We get;
y = kx
Plug y = 5 and x = 25
5 = 25k
k = 1/5
Hence, The value of an equation for y in terms of x is,
y = 1/5x
And, Plug x = 100,
y = 1/5 x 100
y = 20
2) Since, y ∝ x and y=132 when x=10
y = kx
132 = 10k
k = 13.2
Hence, At x = 14;
y = 13.2 x 14
y = 184.8
Thus, The correct equation is,
y = 13.2x
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Simplify with steps shown:(p²+17p+70)/9p³ +63p² * 3/p+10
The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.
what is fraction ?A fraction is a percentage of an entire amount or a ratio of two numbers. It is a means to express a numeric value that is neither a whole number nor an integer. The number at the top of a fraction is called the numerator, while the number at the bottom is called the denominator. The denominator is the entire amount of elements of the entirety or the ratio's divisor, while the numerator is the portion that makes up the entirety or ratio that is being evaluated.
given
We must factor the first fraction's numerator and discover a shared denominator for the two fractions in order to simplify this expression:
(p² + 17p + 70) / 9p³ + 63p² * 3 / (p + 10)
= (p + 10)(p + 7) / 9p³ + 189p² / (p + 10)
= (p + 10)(p + 7); 9p3 + 189p2; (p - 10)/(p + 10); (p - 10)
= 189p2(p - 10)/9p3(p + 7)/9p3(p + 10) (p - 10)
= [(p + 10)(p + 7) + 21p²(p - 10)] / 9p³(p - 10) (p - 10)
= [(p² + 31p - 140) / 9p³(p - 10)]
The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.
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pls help thx your the best
Answer:
(- 2, 16 )
Step-by-step explanation:
y = 8x + 32 → (1)
y = - 8x → (2)
substitute y = 8x + 32 into (2)
8x + 32 = - 8x ( add 8x to both sides )
16x + 32 = 0 ( subtract 32 from both sides )
16x = - 32 ( divide both sides by 16 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 8(- 2) = 16
solution is (- 2, 16 )
15 POINTS PLEASE I NEED HELP
Answer:
x = 7∠ECB = 65°Step-by-step explanation:
You want the measures of x and ∠ECB in rectangle ABCD with center point E and AE=3x+6, BD=5x+19, ∠EBA=25°.
DiagonalsThe diagonals of a rectangle are congruent and cross at their midponts. This means the triangles they form are all isosceles.
XThe value of x can be found by relating the length of a half-diagonal to the length of the whole diagonal.
2·AE = BD
2(3x +6) = 5x +19 . . . . . . . substitute given lengths
6x +12 = 5x +19 . . . . . eliminate parentheses
x = 7 . . . . . . . . . . . subtract 5x+12
The value of x is 7.
AngleAngle EBC is the complement of angle EBA, so its measure is ...
∠EBC = 90° -∠EBA
∠EBC = 90° -25° = 65°
Angle ECB is the other base angle of isosceles triangle BCE, so has the same measure as ∠EBC.
∠ECB = 65°
__
Additional comment
You know the corner angles of a rectangle are 90°, which is what makes angles EBA and EBC complementary.
With x = 7, AE = 27 and BD = 54. The full diagonal is double the length of the half-diagonal, as you expect.
<95141404393>
PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST!!!
The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet
How to find the height of the cylinder ?The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:
Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches
We also need to convert the radius from inches to feet since the volume is given in cubic feet:
5 inches = 5/12 feet = 0.4167 feet
Volume of a cylinder:
Volume (V) = πr²h
450π = π x (0.4167)^2 x h
450 = (0.4167)^2 x h
h = 450 / (0.4167)^2 = 2, 592.46 feet
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Central Limit Theorem forms the foundation for the ___ branch of statistics
Central Limit Theorem forms the foundation for the inferential statistics branch of statistics
The Central Limit Theorem is a statistical concept that describes the behavior of the mean of a sufficiently large sample size drawn from any population with a finite mean and variance.
The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution. This theorem provides a basis for inferential statistics, which involves making inferences about a population based on a sample.
It allows us to use sample statistics to estimate population parameters with a certain level of confidence. This theorem has practical applications in many areas of research, such as in quality control, social sciences, and healthcare.
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Jerel runs 6 days each week. He runs 4.2 km each day for the first 6 days. If Jerel runs a total of 25km, write and solve an equation to find how many kilometers he runs on the sixth day.
Jerel runs 4 km on the sixth day.
How to determine how many kilometers he runs on the sixth day.Let's call the distance Jerel runs on the sixth day "x". We know that he runs 4.2 km each day for the first 6 days, so the total distance he runs in those 6 days is:
Total distance = 4.2 km/day x 6 days = 25.2 km
We also know that the total distance Jerel runs is 25 km, so we can set up an equation to solve for "x":
4.2 km/day x 5 days + x = 25 km
Simplifying the equation, we get:
21 km + x = 25 km
Subtracting 21 km from both sides, we get:
x = 25 km - 21 km
x = 4 km
Therefore, Jerel runs 4 km on the sixth day.
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6. age of his son by A two-digit number is such that the sum of the digits is 13 and the product of the digits is 40. Find the number.
7 A two-digit number is less than 6 times the sum of its digits by 1. The difference between the digit is 1. Find the number.
Answer:
6.
solution:
8+5=13
8×5=40
Calculate the surface area of a cylinder below. Use 3.14 for π, round to the nearest tenth, and just enter the number, not the unit.
The surface area of the cylinder to the nearest tenth is 82.2 in²
What is surface area of cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
The surface area of cylinder is expressed as;
A = 2πr(r+h) . Where r is the radius and h is the height of the cylinder.
A = 2 × 3.14 × 1.7( 1.7+6)
= 10.68× 7.7
= 82.2 in²( nearest tenth)
Therefore the surface area of the cylinder is 82.2
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Find an equation for the perpendicular bisector of the line segment whose endpoints
are(-1, , -8) and (5, 4).
An equation in slope-intercept form for the perpendicular bisector of the line segment with endpoints (-1, -8) and K (5, 4) is y = 2x - 6.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 8)/(5 + 1)
Slope (m) = 12/6
Slope (m) = 2.
At data point (-1, -8) and a slope of 2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-8) = 2(x - (-1))
y + 8 = 2x + 2
y = 2x - 6.
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A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
The best prediction is that the college will have about 480 students who prefer cookies.
To solve this problem
According to the table, 27 out of 225 students prefer cookies. To find the prediction for the number of cookies the college will need, we can set up a proportion:
27/225 = x/4000
Where x is the predicted number of students who prefer cookies.
Solving for x, we get:
x = (27/225) * 4000
x ≈ 480
Therefore, the best prediction is that the college will have about 480 students who prefer cookies.
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Clare bought her first home for $135,000 in 2001. In 2006, the value of real estate in her area had increased by 18%. Based on this, how much was Clare's home worth in 2006?
Answer:
To find the value of Clare's home in 2006 after an 18% increase, we can use the following formula:
Value in 2006 = Value in 2001 x (1 + Percent Increase)
Plugging in the values given in the problem, we get:
Value in 2006 = $135,000 x (1 + 0.18)
Simplifying this expression, we get:
Value in 2006 = $135,000 x 1.18
Value in 2006 = $159,300
Therefore, Clare's home was worth $159,300 in 2006 after an 18% increase in value from its original price of $135,000 in 2001.
Let's take a collection of any three 'high mountains of Nepal' and answer following questions. a) Is it a well-defined collection? Give reason. b) Is it a set? Give reason. c) Let's express it as a well-defined collection.
The collection of "high mountains of Nepal" is subjective and not well-defined, it may or may not be a set depending on the criteria specified, and to express it as a well-defined collection.
a) It is not a well-defined collection because the term "high mountains of Nepal" is subjective and does not have a clear definition. What one person considers high might be different from what another person considers high.
b) It is not necessarily a set, depending on how the collection is specified. If the collection is specified using clear criteria (such as mountains over a certain height), then it could be a set.
However, if the collection is just described using vague language like "high mountains of Nepal," then it is not necessarily a set.
c) In order to articulate it as a precise collection, we may define a precise standard for what constitutes a "high mountain of Nepal." As an illustration, we could say that any peak in Nepal that rises higher than 7,000 meters qualifies as a high mountain there.
With this precise definition, we could then pinpoint a trio of Nepalese mountains.
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The legs of a right triangle measure 39 and 80 units. What is the measure of the
hypotenuse? Answer as a number only.
Answer: probably 89
Step-by-step explanation: looked it up "you have the wrong picture up"
The hypotenuse of the given right-angled triangle is 89 units.
From the below figure, the base of the triangle AB = 39 units
The height of the triangle AC = 80 units
To know the hypotenuse of the given triangle we have to use the Pythagoras theorem as shown below,
From the given figure,
BC² = AB² + AC²
BC² = 39² + 80²
BC² = 1521 + 6400
BC² = 7921
BC = √7921
BC = 89.
From the above analysis, we can conclude that the hypotenuse of the given right-angled triangle is 89 units.
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Given question is having the wrong picture. I am attaching required correct picture as below,
given that a test statistic for testing if the true proportion exceeds 0.75 is 1.91. what is the p-value for this test? round to 3 d.p.
p-value of 0.028 is considered statistically significant at a significance level of 0.05. This suggests that we have strong evidence to reject the null hypothesis in favor of the alternative hypothesis that the true proportion exceeds 0.75.
To calculate the p-value for this test, we need to use the standard normal distribution table or a statistical software.
First, we need to find the area under the standard normal distribution curve to the right of the test statistic of 1.91.
Using a standard normal distribution table, we can find that the area to the right of 1.91 is 0.0287 (rounded to four decimal places).
Since this is a one-tailed test (the alternative hypothesis is that the true proportion is greater than 0.75), the p-value is equal to the area to the right of the test statistic, which is 0.0287.
Therefore, the p-value for this test is 0.028 (rounded to three decimal places). This means that if the null hypothesis (that the true proportion is less than or equal to 0.75) were true, we would expect to see a test statistic as extreme as 1.91 or more extreme in only 0.028 of all possible samples.
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The p-value for the test when the test statistic is 1.91 and we are testing if the true proportion exceeds 0.75 is
approximately 0.028, rounded to 3 decimal places.
Given that the test statistic for testing, if the true proportion exceeds 0.75, is 1.91, we need to find the p-value for this
test and round it to 3 decimal places.
Identify the test statistic
The test statistic provided is 1.91.
Determine the tail of the test
Since we are testing if the true proportion exceeds 0.75, it is a right-tailed test.
Find the p-value
Using a Z-table or statistical software, find the area to the right of the test statistic (1.91) under the standard normal
distribution. This area corresponds to the p-value.
The area to the right of 1.91 in the Z-table is approximately 0.028. Therefore, the p-value for this test is approximately
0.028.
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How many planes of symmetry does a right pyramid with an isosceles triangle base have?
A right pyramid with an isosceles triangle base has one plane of symmetry.
How many planes of symmetry does a right pyramid with an isosceles triangle base have?A plane of symmetry is a plane that can be passed through an object such that the object is divided into two halves that are mirror images of each other.
In the case of a right pyramid with an isosceles triangle base, if a plane passes through the apex (the top point) of the pyramid and is perpendicular to the base, it will bisect the base into two halves that are mirror images of each other. This is the only plane of symmetry that exists for this particular pyramid.
Thus, the right pyramid with isosceles triangle base has one plane of symmetry.
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50.12 in word form
PLEASE HELP ME I WILL DO WHATEVER
If you get paid $520 for 2 weeks at $13 per hour, how many hours did you
work each week?
O 40
O 30
O 20
O 10
Answer:
20 hours
Step-by-step explanation:
for 1 week 560/2
=260
calculation for working hours
Total wage=Rate per hour × actual time spend on working.
Let actual working hours be (x)
260=13×X
260/13=X
20=X
20 hours
The side lengths of a triangle are 3 meters,4 meters, and 5 meters, Suppose the side lengths are multiplied by 4. Describe the change in the perimeter
The change in the perimeter is:
= 36m
The side lengths of a triangle are 3 meters,4 meters, and 5 meters.
We have to find the perimeter of the triangle.
Now,
Perimeter of a triangle is sum of all sides.
We have the side's length are:
[tex]P_1[/tex] = 3 + 4 + 5 = 12 meters.
Now, In the second case we have to multiplied the side length by 4.
Side's length are:
3 = 3 × 4 = 12
4 = 4 × 4 = 16
5 = 4 × 5 = 20
Perimeter of a triangle is sum of all sides.
[tex]P_2[/tex] = 12 + 16 + 20
[tex]P_2[/tex] = 48 meters
Now, the change in the perimeter is:
[tex]P_2 - P_1[/tex] = 48 - 12 = 36m
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What is the term for the digits that exceed the certainty of the instrument?
The term you're looking for is "uncertain digits."
Uncertain digits refer to the digits in a measurement that exceed the level of certainty provided by the measuring instrument.
Measurements, it is crucial to recognize the limitations of the instruments being used, as this can impact the precision and accuracy of the results.
Precision is the degree to which an instrument can consistently produce the same measurement, while accuracy is the closeness of a measurement to its true value.
Uncertain digits can affect both of these aspects.
To better understand uncertain digits, consider the following step-by-step explanation:
Identify the measuring instrument:
This could be a ruler, thermometer, or any other device used to take measurements.
Determine the instrument's least count:
The least count is the smallest unit the instrument can measure.
A ruler with millimeter markings has a least count of 1 millimeter.
Record the measurement:
When taking a measurement, include all the certain digits (those within the instrument's least count) and one uncertain digit.
The uncertain digit is an estimate, and it represents the best guess within the least count of the instrument.
Keep in mind the limitations:
Recognize that uncertain digits are an inherent part of the measuring process and that they affect the precision and accuracy of the results.
Uncertain digits are the digits that exceed the certainty of a measuring instrument.
It is important to consider these digits and the limitations of the instruments used when conducting experiments or making measurements.
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develop an estimate regression equation with both television advertising and newspaper advertising as independent variables. what are the correct interpretations of the estimated regression parameters? are this interpretation reasonable?
In a regression equation, the estimated coefficients represent the change in the dependent variable for a one-unit increase in the corresponding independent variable, holding all other independent variables constant.
For example, if the estimated coefficient for television advertising is 0.5, then we can interpret it as a $0.5 increase in the dependent variable (such as sales) for every one-unit increase in television advertising expenditure, holding newspaper advertising constant.
Whether the interpretations of the estimated coefficients are reasonable depends on the data and the research question being investigated. It is important to examine the statistical significance, magnitude, and direction of the estimated coefficients, as well as their practical relevance and theoretical soundness, to evaluate the validity and usefulness of the regression model.
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in the newspaper article referred to in exercise 9.57, 32% of the 1600 adults polled said the u.s. space program should emphasize scientific exploration. how large a sample of adults is needed for the poll if one wishes to be 95% confident that the estimated per- centage will be within 2% of the true percentage?
I don't understand this question. simplify -3(x+7)
Answer: - 3x - 21
Step-by-step explanation:
All you have to do is distribute the -3
-3 multiplied by x is -3x
and -3 multiplied by +7 is -21
put it together
- 3x - 21
The chef at Pickin' Chicken Café bought 4 bunches of celery that each weighed 2 pounds. She cut up 3 pounds to serve with chicken wings. Then, she diced 8 ounces to put on garden salads. How many pounds of celery does she have left?
As per the unitary method, the chef has 9.14 pounds of celery left after cutting up 3 pounds to serve with chicken wings and dicing 8 ounces to put on garden salads.
To start, let's convert all of the weights to the same units. The chef bought 4 bunches of celery, each weighing 2 pounds, so in total she bought:
4 bunches * 2 pounds per bunch = 8 pounds
Next, we know that she used 3 pounds of celery for the chicken wings and 8 ounces (which is half a pound) for the garden salads. So in total she used:
3 pounds + 0.5 pounds = 3.5 pounds
To find the value of one pound of celery, we can subtract the amount of celery the chef used from the total amount of celery she bought, and then divide by the number of pounds she bought:
(8 pounds - 3.5 pounds) / 8 = 0.4375 pounds per pound
So one pound of celery is worth 0.4375 pounds. Now we can use this value to find out how many pounds of celery the chef has left. We know she started with 8 pounds of celery, and she used 3.5 pounds, so she must have:
(8 pounds - 3.5 pounds) / 0.4375 pounds per pound = 9.14 pounds left
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fP=\ (x, y) : y = 3x-1, x ≤ 4, xe N}, find P * 1 State the elements of the following relations: (b) y = 4x (d) x + y >= 20 y = x (a) (c) x + y
Answer:
Step-by-step explanation:
To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:
P = {(1, 2), (2, 5), (3, 8), (4, 11)}
Now, we can find all pairs of elements in P that have a difference of 1:
(1, 2), (2, 5) -> (1, 5)
(2, 5), (3, 8) -> (1, 3)
(3, 8), (4, 11) -> (1, 3)
Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).
(b) The given relation is: y = 4x
The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.
(c) The given relation is: x + y ≥ 20
The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.
(d) The given relation is: y = x
The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.