There are in total 17 Male Turkey in the farm
What is Division?
Division is one of the four basic operations of arithmetic, which are the methods through which numbers are joined to form new numbers. Addition, subtraction, and multiplication are the other operations.
Solution:
Here we will use the concept of basic division
Since, there is 1 male turkey for every 17 female turkey
Therefore, it can be said that
Total Male Turkeys for 289 Female Turkey = 289 / 17
Total Male Turkey = 17
Yes we can express the number of female turkey in exponent as [tex]17^{2}[/tex]
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in the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
The slope of the line is B.
What is slope of the line ?In mathematics, the slope of a line is the change in y-coordinate with respect to the change in x-coordinate.
The net change in the y coordinate is denoted by Δy and the net change in the x coordinate is denoted by Δx.
So the change in the y coordinate for a change in the x coordinate is:
The slope of a straight line can also be expressed as:
In general, the slope of a line is a measure of its steepness and direction. The slope of the line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points.
CalculationIf the x-coordinate of each point on a line is 5 more than half the y-coordinate, then x= y2+5.
To find the slope of the line, solve for y and put the equation in slope-intercept form (y = mx + b, where m is the slope).
To do so, first subtract 5 from both sides, then multiply the entire equation by 2 to get y = 2x − 10.
The slope is 2.
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How does "If the measure of an angle is not 180, then it is not a straight angle" relate to the conditional statement "If an angle is a straight angle, then its measure is 180."
O Counterexample
O Converse
Inverse
Contrapositive
If If the measure of an angle is not 180, then it is not a straight angle" relate to the conditional statement "If an angle is a straight angle, then its measure is 180." This is a A. counterexample.
What is contraposition?Contraposition in logic and mathematics refers to the inference of going from a conditional statement to its logically equivalent contrapositive, as well as the associated proof method known as proof by contraposition. A statement's contrapositive has its antecedent and consequent inverted and flipped.
Any exception to a generalization is a counterexample. A counterexample disproves the generalization in logic, and it does so rigorously in mathematics and philosophy.
Find a case where P is true but Q is false to provide a counterexample to a conditional statement P Q. Here is the equivalent rule for negating a conditional: (P Q) (P Q) Once again, the "if-part" P must be true and the "then-part" Q must be false (that is, Q must be true).
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Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temperature two Sundays ago was TTT degrees Celsius.
The average temperature last Sunday is 1.08T or (1 + 8/100)T.
What is temperature?Temperature simply means the hotness and coldness of a body.
In this case, last Sunday, the average temperature was 8 percent higher than the average temperature two Sundays ago.
This will be expressed as:
= T + (8% × T)
= T + (0.08 × T)
= T + 0.08T
= 1.08T
The temperature is 1.08T.
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A fruit company need to mail an order of 8,927 watermelon. If each crate can hold 79 watermelon, how many crate will the company need?
113 crates are needed for the company to mail an order of 8927 watermelon, if one crate can hold 79 watermelon.
A single or unique unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
Given,
There are 8927 watermelon and each watermelon can hold 79. We have to divided the number of watermelon by the number of watermelon each crate can hold, to get the how many crate is needed to mail the order.
8927/79
=113
Therefore, 113 crates will be needed by the company.
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SOMEONE HELPP ME!
The coordinates of the vertices of a polygon are (-2, -1), (4,-1), (4, -4), (1, 6), and (-2, -4). What is the perimeter of the polygon to the nearest tenth of a unit The coordinates of the vertices of a polygon are (-2, -1), (4,-1), (4, -4), (1, 6), and (-2, -4). What is the perimeter of the polygon to the nearest tenth of a unit
The area of rectangle ABCD is 23.5 cm² with vertices A(-1,11) B( 7,9) C(10,13) and D(2,7).
Define area.The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.
Given,
A(-1,11) B( 7,9) C(10,13) and D(2,7)
Calculate the length of the sides using the distance formula:
AB = √(7+1)² + (9 - 11)²
AB = √8² + 2²
AB = √16 + 4
AB = √20
AB = 4.47
BC = √(10-7)² + (13-9)²
BC = √3² + 4²
BC = √9 + 16
BC = √25
BC = 5
For area of rectangle:
Length × Width
5 × 4.47
23.5
The area of rectangle ABCD is 23.5 cm².
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A nack company can pack 12 granola bar in a box. How many boxe are needed for 600 granola bar?
50 boxes are needed to pack 600 granola bar when 12 granola bar in a single bar.
Given, a nack company that sells snacks may fit 12 granola bars in a box.
We must determine the number of boxes required to hold 600 granola bars.
By using the unitary technique, we can calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units. We typically utilize this technique for math calculations. This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.
Now, the number of boxes= 600/12
=50
Therefore, to pack 600 granola bars they need 50 boxes.
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10000000000000023486851765498487984 + 189454+818945184654988484
Find the perimeter of square
GHIJ with vertices
G (2,-4), H (8, -4), I (8, -10), and J (2, -10).
Perimeter = ___ units
The sidelength of the square is 6 units, with that we can find that the perimeter is 24 units.
How to find the perimeter of the square?For a square of side length S, the perimeter is give by the formula:
P = 4*S
In this case, the vertices of the square are given, and I and J are consecutive vertices, where:
I = (8, - 10)
J = (2, - 10)
Notice that the y-component is the same, then the side length of the square is:
S = 8 - 2= 6
Using the formula for the perimeter we get:
P = 4*S = 4*6 = 24
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cans of regular coke are labeled as containing . statistics students weighed the contents of randomly chosen cans, and found the mean weight to be ounces. assume that cans of coke are filled so that the actual amounts are normally distributed with a mean of and a standard deviation of . find the probability that a sample of cans will have a mean amount of at least .
the probability of the event that a sample of 5 cans will have a meaningful amount of at least 12.13 oz is 0.0078
We are provided with the information that cans of coke are filled in the account of having normal distribution, with the provided means which is 12.00 oz and the standard deviation of 0.12 oz and the sample size is
n= 5.
let X be the sample mean, so the probability will be :
P(X[tex]\geq[/tex] 12.13) = 1- P(X<12.13)
=1- P(X-(μ/(σ/[tex]\sqrt{n}[/tex])) < (12.13 -12.00)/(0.12/[tex]\sqrt{5}[/tex]))
= 1- P(z<2.42)
= 1-0.9922
=0.0078
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Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and found the mean weight to be 12.13. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz. Find the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz.
solve the system of equation using eliminations -x+9y=35 and 2x+2y=10 by combining the equations
The solution by Elimination Method of the given equations -x+9y=35 and 2x+2y=10 is given by, x=1,y=4.
Given the equations are,
-x+9y = 35 .............(i)
2x+2y = 10 ...........(ii)
From the equation (ii) we get,
2x+2y = 10
x+y = 5 ...............(iii)
Adding (i) and (iii) we get,
-x+9y+x+y = 35+5
10y = 40
y = 40/10
y = 4
Substituting the value of y in (i) we get,
-x+9*4 = 35
-x+36 = 35
-x = 35-36
-x = -1
x = 1
Hence the solution of the equations is, x=1,y=4.
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i just need to know how to wright out y+ mx+b on this math problem
jake collected $311.95 after receiving 21 texts. the collection balance was $422.20
The required equation is y = 14.85x + 110.25.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
Given that, Jake collects $311.95 after receiving 21 texts.
Therefore, he collected $311.95/21 per text.
$311.95/21 = $14.85
The collection balance was $422.20, therefore, Jake already has $422.20-$311.95 = $110.25.
Let Jake receives x texts, then he will get $14.85x, and Jake already has $110.25, therefore, the total collection after receiving x texts is:
y = 14.85x + 110.25
Hence, The required equation is y = 14.85x + 110.25.
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manufacturer shipped 12,875 fidget spinners one eek and 9,843 of them were sold. The next week ey shipped 19,175 and 12,752 of them were sold w many fidget spinners had not sold yet? 1.What quantities are given in the problem, and what do the numbers mean?
The number of fidget spinners that had not sold yet is; 9,455.
The quantities given in the problem are the total number of fidget spinners shipped each weeks and the number of them sold.
What is the number of fidget spinners that had not sold yet?It follows from the task content that the total number of fidget spinners that had not sold yet be determined from the information given.
According to the task content;
1st week;
12,875 fidget spinners were shipped and 9,843 of them were sold.
The number of fidget spinners that had not sold yet is therefore; = 12875 - 9843 = 3,032.
2nd week;
19,175 fidget spinners were shipped and 12,752 of them were sold.
The number of fidget spinners that had not sold yet is therefore; = 19,175 - 12,752 = 6,423.
Ultimately, the total number of fidget spinners that had not sold yet is; 3,032 + 6,423 = 9,455.
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6r + t = r - 1 solve for r
After solving the value of r = (-1 - t / 5).
Given equation:
6r + t = r - 1
6r - r + t = -1
5r + t = -1
5r = -1 - t
divide by 5 on both sides
5r/5 = -1 - t / 5
r = (-1 - t / 5)
Therefore r = (-1 - t / 5)
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The cylinder and the cone have the same volume. What is the height of the cone?
Answer: [tex]h = \frac{3}{4}y[/tex] is the cone's height.
==================================================
Work Shown:
Let's set up each volume equation.
[tex]\text{VL} = \text{volume of cylinder}\\\\\text{VL} = \pi*r^2*h\\\\\text{VL} = \pi*x^2*y\\\\[/tex]
[tex]\text{VC} = \text{volume of cone}\\\\\text{VC} = \frac{1}{3}*\pi*r^2*h\\\\\text{VC} = \frac{1}{3}*\pi*(2x)^2*h\\\\\text{VC} = \frac{4}{3}\pi x^2*h\\\\[/tex]
Then we're told that VL and VC are the same value. Let's equate the right hand sides and solve for h.
[tex]\text{VL} = \text{VC}\\\\\pi x^2y = \frac{4}{3}\pi x^2 h\\\\x^2y = \frac{4}{3}x^2 h\\\\3x^2y = 4x^2 h\\\\h = \frac{3x^2y}{4x^2}\\\\h = \frac{3y}{4}\\\\h = \frac{3}{4}y\\\\[/tex]
Answer:
3y
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cylinder}\\\\$V=\pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $(r)$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $(r)$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
Given dimensions of the cylinder:
r = xh = yTherefore, the equation for the volume of the cylinder is:
[tex]\implies V_{\sf cylinder}=\pi x^2y[/tex]
Given dimensions of the cone:
diameter of base = 2x ⇒ r = xh = ?Therefore, the equation for the volume of the cone is:
[tex]\implies V_{\sf cone}=\dfrac{1}{3} \pi x^2 h[/tex]
As the cylinder and the cone have the same volume, substitute the equation for the volume of the cylinder into the equation for the volume of the cone an solve for h:
[tex]\begin{aligned}V_{\sf cylinder}&=V_{\sf cone}\\\implies \pi x^2 y&=\dfrac{1}{3} \pi x^2 h\\y&=\dfrac{1}{3} h\\3y&=h\\h&=3y\end{aligned}[/tex]
Therefore, the height of the cone is 3y.
Write the phrase as an expression.
a number c divided by 25
expression:
I’m really confused… Please help
The given phrase written as an algebraic expression is c / 25 .
The given phrase is : a number c divided by 25
So if we consider any number 'c' , then the number when divided by c can be written as c ÷ 25
The required expression to represent this is given by c / 25.
Expressions are phrases used to describe statements in mathematics that contain variables, numbers, sometimes both, and at least two terms joined by an operator. Mathematical operations include addition, multiplication, and division.
The two types of expressions used in mathematics are numerical expressions, which only contain numbers, and algebraic expressions, which also contain variables.
A symbol with an unknown value is referred to as a variable. A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided. A number that has been further multiplied by a variable is referred to as a coefficient in an equation.
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Por favor ayuda con esto
Please help meeeee I need it before 11:59PM
Answer:
(top to bottom)104.04...6800...272...3
Step-by-step explanation:
68 can go into 7075, 104 times.
68 goes into 275 4 times.
275-272=3
suppose you are using the inclusion-exclusion principle to compute the number of elements in the union of four sets. each set has 15 elements. the pair-wise intersections have 5 elements each. the three-way intersections have 2 elements each. there is only one element in the intersection of all four sets. what is the size of the union?
Answer:
2x
Step-by-step explanation:
The size of the union according to the given data is 37.
What is a set theory?The study of sets, which are collections of objects, is a topic covered by the mathematical field known as set theory. A set is a clearly defined group of unique items, sometimes referred to as its elements or members, in set theory.
Let's use the inclusion-exclusion principle to compute the number of elements in the union of four sets:
First, we add up the sizes of the individual sets:
4 x 15 = 60
Next, we subtract the sizes of the pair-wise intersections:
6 x 5 = 30
We have to multiply by 6 because there are 6 pairs of sets.
Now we need to add back the sizes of the three-way intersections:
4 x 2 = 8
We have to multiply by 4 because there are 4 triples of sets.
Finally, we need to subtract the size of the intersection of all four sets:
-1
Putting it all together, we have:
60 - 30 + 8 - 1 = 37
Therefore, the size of the union is 37.
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Fill in the missing proportional value.
I just need to figure out what divided by 10/3 gets me 2.5
If someone could tell me how to find it out that would be really helpful too thanks
Answer:
8 1/3
Step-by-step explanation:
We want to find a number, x, that when divided by 10/3 equals 2.5. We can write that as:
x/(10/3) = 2.5
x = (2.5)*(10/3) [MULTIPLY BOTH SIDES BY (10/3)
x = 25/3
x = 8 1/3 [
Joe opened a bank account with $80. He then withdrew $35, deposited $115, and withdrew another $40. What integer represents his account balance, in dollars, after all of the transactions?.
Joe has $120 after all the trades, which is the entire amount.
Given that,
With $80, Joe opened a bank account. Then he took out $35, put in $115, and took out another $40.
To know how much balance left in his account after all the transactions in dollars;
Assume that,
Amount when account opened (x) = $80
Amount withdrawn (y) = $35
Amount deposited again (z) = $115
Amount withdrawn again (p) = $40
The total amount left after all the above transactions is;
A = x - y + z - p
= 80 - 35 + 115 - 40
= 195 - 75
A = $120
Therefore, the total amount left with Joe after all the transactions is $120.
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Question 2a
Shirley took 512, divided it by 64, and got 8 as a result. Which is a correct
representation of this division?
O 64÷ 512=8
O 512 ÷ 64 = 8
O 8÷ 64 512
O 512÷8= 64
Question ID: 38478
=
2a of 12
Submit
Answer:
512 ÷ 64 = 8 is the correct representation.
which of the following questions does a test of significance answer? a) is the sample or experiment properly designed? b) is the observed effect due to chance? c) is the observed value correct? d) is the observed effect important? e) none of the above
Test of significance is the observed effect due to chance. Option (c) is correct .
What is a significance test?
A systematic process for evaluating a claim's veracity, a test of significance compares observable data with the claim (also known as a hypothesis). A parameter, such as the population percentage p or the population mean, is the subject of the assertion.What makes significance significant?
The presence of statistical significance gives researchers a level of assurance that their findings are accurate, trustworthy, and not the result of chance. However, not every researcher will value statistical significance the same way in every circumstance.Learn more about test of significance
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Find the measure of angle B
The measure of angle B is 78°.
∠A = (2x - 9)°
∠B = (2x + 4)°
∠C = x°
In triangle ABC,
∠A + ∠B + ∠C = 180°
2x - 9 + 2x + 4 + x = 180
5x - 5 = 180
5x = 180 + 5
5x = 185
x = 185/5
x = 37
∠B = 2x + 4
= 2*37 + 4
= 74 + 4
= 78
Hence, ∠B is 78°.
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You have three white golf balls and two yellow golf balls in a bag. You randomly select one golf ball to hit now and another golf ball to place in your pocket. Use a sample space to determine whether randomly selecting a white golf ball first and then a white golf ball second are independent events.
PLEASE HELP I DONT KNOW HOW TO DO THIS
Randomly selecting a white golf ball first and then a white golf ball second are independent events.
What do you mean by dependent events?
Events that are dependent upon prior events are called dependent events. The results of earlier events have an impact on these current ones. For example, two or more events that are interdependent are referred to as dependent events.
It is given that in the beginning we have 3 white balss and 2 yellow balls
Total number of balls = 3 + 2 = 5
Probability of first selecting a white ball = 3/5
Now remaining white balls = 3 - 2 = 1
Remaining total balls = 5 - 1 = 4
Probability of selecting second white ball = 2/4
Probability of selecting a white golf ball first and then a white golf ball second = 3/5 × 2/4 = 3/10
Both the events are dependent as if we select first white ball, then it will change the number of white balls for selecting second time.
Therefore, randomly selecting a white golf ball first and then a white golf ball second are independent events.
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The value of y that will result in congruent triangles is ___
Answer: y = 4
Step-by-step explanation:
First, we have to look at the triangle and understand which sides match each other. The side measure of EF matches the side of KH. Since we know these are congruent sides, we can set them equal to each other in an equation. So,
7y - 11 = 17.00
Now we add 11 to both sides, isolating the variable.
7y = 28.00
Now, we divide by 7 on both sides.
7y/7 = 28/7
y = 4
What is the slope of the line y =- 3x?.
The slope of the line y = -3x is -3.
What is slope?The slope of a line is the measure of the steepness and the direction of the line. It is defined as the change in y coordinate with respect to the change in x coordinate of that line.
The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. Then the slope
m = Δy/Δx = dy/dx
Here the line is y = -3x
Differentiating the equation of line with respect to x, we get
dy /dx = -3
⇒ dy /dx = m = -3.
Therefore, the slope of the line y = -3x was found to be -3.
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Equivalent to 3+(4+7)
Answer:
14
Step-by-step explanation:
first add inside the parentheses 4+7=11
then add three 11+3=14
Answer: 3 + 11 = 14
Step-by-step explanation: Follow PEMDAS (Parentheses, exponent, multi, divi, add, subtract.)
An expression is given.
(2x+8) (5x-7)
Which expression is equivalent to the given expression?
Answer:
10x^2 + 26x - 56
Step-by-step explanation:
10 x^2 -14x + 40x - 56 =
= 10x^2 + 26x - 56
Answer: 5x -2x = 8 +7, 3x = 15 x = 15/3) X= 5
Assuming a linear relationship, find the missing value in the table below.
Step-by-step explanation:
6+7=13,13+7=20,20+7=27,27+7=(34)!
How much Income Tax would be paid by someone earning £41,000 in a tax year when the basic rate of Income Tax is 20% and the annual tax-free personal allowance is £11,500?
Answer:
£5,900 in taxes
Step-by-step explanation:
How much Income Tax would be paid by someone earning £41,000 in a tax year when the basic rate of Income Tax is 20% and the annual tax-free personal allowance is £11,500?
41,000 - 11,500 = 29,500 taxable
20% = 0.2
29,500 * 0.2 = £5,900 in taxes
