mrs jones gave 1/5 of a cake to her neighbour. she then sliced the remainder into 3 pieces for her 3 children, ken, ron and david, in the ratio 1 : 3 : 4. what is the fraction of the cake was ron's pieces

To hike a total of 11/6 miles, she would have to hike for 11 days. To hike a total of 1/3 of a mile, she would have to hike for 2 days.

She hikes 1/6 a day, to get 11/6 , she would have to hike 11 days

to hike 1/3 of a mile

1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2

so she would have to hike 2 days

To hike a total of 11/6 miles of distance in 11 days, the person would have to hike an average of 11/6 / 11 = 11/66 miles per day.

To hike a total of 1/3 of a mile in 2 days, the person would have to hike an average of 1/3 / 2 = 1/6 miles per day.

Thus, to hike a total of 11/6 miles, the person would have to hike for 11 days, and to hike a total of 1/3 of a mile, the person would have to hike for 2 days.

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[tex]8r^{4}[/tex]

√(64r^8) = √((8r^4)^2) = 8r^4

_____

You can make use of either or both of these rules of exponents:

(a^b)^c = a^(b·c) . . . . . used above

[tex]\sqrt[n]{a}[/tex] = a[tex]\fra {1}{n}[/tex]  

Using the second rule, you can write the expression as ...

[tex]\sqrt{64r^8}[/tex] = [tex]\sqrt{64}[/tex] · [tex]r^8^*1/2[/tex] = [tex]8r^4[/tex]

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One of the non-parametric tests used it as a generalized version of such Mann Whitney U test is the Kruskal-Wallis test.

One of the non-parametric tests used as an expanded version of a Mann Whitney U test is the Kruskal-Wallis test.

As a result, it has been used to investigate the null hypothesis, which claims that 'k' samples were taken from populations that were either identical or similar and had medians that were similar or slightly similar.

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Answer: Expression that is to be deducted will be (6x + 3).

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The table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Since the restaurant makes cheese sandwich with  3 oz of Swiss cheese and 5 oz of cheddar cheese.

Thus, the table that represents the proportional relationships will be the one that contains  3 oz of Swiss cheese with a corresponding value of 5 oz of cheddar cheese.

the constant of proportionality (k) must be the same (i.e. k = 5/3) for all the values.

Swiss Cheese (oz)     3  6   9

Cheddar Cheese (oz) 5  10 15

k = 5/3 = 10/6= 15/9 =5/3

Hence,  the table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15

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Therefore , the we need to pick n + 2 numbers  to be sure of random selection is an odd number.

In statistic, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. This procedure involves choosing a sample at random.

Here,

You must choose n + 2 numbers at random in order to guarantee that you will get at least one odd number.

Since n is a positive integer, the following values of n are possible:

{1, 2, 3, 4, ...}

Let's assume n = 1.

Now, in order to guarantee that you choose at least one odd integer from 0 to 2n = 2*1 = 2, how many must you choose (at random)?

There are three numbers from 0 to 2:

0, 1, 2

If you choose these at random, selecting all three digits will guarantee that you receive an odd number.

From 0 to 2*n, there are the following options if n = 2.

0, 1, 2, 3, 4

Five choices.

If you wish to choose at least one odd number for certainty after picking 3 even numbers, you must choose 4 numbers.

From 0 through 2*n, if n = 3, we get:

0, 1, 2, 3, 4, 5, 6

Since 4 of these are even, you must choose 5 of them to guarantee an odd number.

The amount of even numbers is always n + 1, therefore given a random integer n, we will have n + 1 even numbers from 0 to 2n. Therefore, if we want to be certain that we are selecting an odd number at random, we must choose n + 2 numbers.

Therefore , the we need to pick n + 2 numbers  to be sure of randomly selecting an odd number.

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Answer:

  x > 90 > y

Step-by-step explanation:

You want to know the relationship of the central angles in a rectangle where the diagonals cross.

Assuming we can trust the figure (not always a good idea), we notice that x° is an obtuse angle and y° is an acute angle. (The angle opposite the longer side in this geometry will always be obtuse.)

This means ...

  x° > 90°

  90° > y°

The two angles form a linear pair, so their sum is 180°.

The correct description is ...

  x > 90 > y

__

Additional comment

If the diagonals crossed at right angles, the rectangle would be a square.

Answer:

13% and 81

Step-by-step explanation:

To find the number of sheep that he will sell, three-fourths of the total number of sheep he had must be calculated. For this, the fraction must be multiplied by the whole number:

[tex]\begin{gathered} \sf \frac{3}{4} \times 400 = \\ \\ \sf \frac{3}{4} \times \frac{400}{1} = \\ \\ \sf \frac{3 \times 400}{4 \times 1} = \\ \\ \sf \boxed{ \sf \frac{ \red{1200}}{ \red4}} = \blue{300}\end{gathered}[/tex]

Therefore, he will sell three hundred sheep.

Answer: She will sell 300 sheep

Step-by-step explanation:

1/4 of 400 sheep is 100 sheep, to find this by, taking 400 divided by 100

So 3/4 will be 300 sheep, to find this by taking 100 timed 3

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The equation of the line is y = 7x - 36

Equation of the line,

For the given slope and the point the equation of the line is written as,

(y - y1) = m (x - x1)

Given,

The slope is 7, and it passes through ( 8, 6).

Here we need to find the equation of the line.

While we looking into the give equation, we have identified the following,

slope = 7

point = (8,6)

When we apply the values on the formula of equation of the line, then we get,

=> (y - 6) = 7 (x - 6)

When we simplify this one then we get,

=> y - 6 = 7x - 42

Then it can be rewritten as,

=> y = 7x - 36

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Answer: Elise's number is 37

Step-by-step explanation:

-5(x-19)=-90

-5x+95=-90

-5x=-185

x=37

The length and width of the rectangle are "2.62467ft and 81.38cm "

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

According to the given information:

Using the formula

P=2(l+w)

Solving for l

[tex]l=\frac{P}{2}-w=\frac{5.51}{2}-0.13 \approx 2.62467 \mathrm{ft}[/tex]

Solving for w

[tex]w=\frac{P}{2}-l=\frac{168}{2}-2.62=81.38 \mathrm{~cm}[/tex]

So, the length and width of the rectangle are "2.62467ft and 81.38cm "

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Answer:

0.01058201058

Step-by-step explanation:

We get approximately 56 inches of rain during a 31-day month.

What is the rate in mathematics?

In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).

To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.

The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.

If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.

Hence, we get approximately 56 inches of rain during a 31-day month.

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We get approximately 56 inches of rain during a 31-day month.

What is the rate in mathematics?

In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).

To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.

The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.

If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.

Hence, we get approximately 56 inches of rain during a 31-day month.

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Answer:

B) 10

Step-by-step explanation:

The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].

The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

Put x = 0

y ≤ 0 - 3

y ≤ -3

Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

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The given ordered pair is not the solution for y ≤ x − 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The inequality is given as y ≤ x - 3.

The x coordinate for the ordered pair (0,4) is 0.

And, the y coordinate is 4.

Substitute the value of x and y in the given inequality as follows,

y ≤ x - 3

=> 4 ≤ 0 - 3

=> 4 ≤ -3

Which is not true.

Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.

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Answer:

34

Step-by-step explanation:

-2(x - 14) = -40  Distribute the -2

-2x + 28 = -40   Subtract 28 from both sides

-2x = -68  Divide both sides by -2

x = 34

Check:

34- 14 = 20

-2(20) = -40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of points Eric have is 8x - 16.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Joseph points = 2x - 6

Thomas points = 2x - 6 + 4 = 2x - 2

Eric points = 2 ( 2x - 6 + 2x - 2 )

Now,

The points Eric have is.

= 2 (4x - 8)

= 8x - 16

Thus,

The number of points Eric have is 8x - 16.

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The Variance of (A +2B) is 12.6724.

What is  Variance ?

Variability is measured by the variance. The average of the squared deviations from the mean is used to compute it. The degree of dispersion in your data collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Here we have to select two card out of 6 card. now suppose we take 2 card (1,2 ) out of six card (1,2,3,4,5,6) . so here A=1 and B=2 but it is also possible that A=2 and B =1 because it represent same two card . Therefore here order of card matter.

Hence the posible out come of selecting 2 card are (without replacement)

-- (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) -- (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) -- (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) -- (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) -- (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) --

Therefore A+2B of this outcome are

A B A+2B

1 2 5

1 3 7

1 4 9

1 5 11

1 6 13

2 1 4

2 3 8

2 4 10

2 5 12

2 6 14

3 1 5

3 2 7

3 4 11

3 5 13

3 6 15

4 1 6

4 2 8

4 3 10

4 5 14

4 6 16

5 1 7

5 2 9

5 3 11

5 4 13

5 6 17

6 1 8

6 2 10

6 3 12

6 4 14

6 5 16

therefore there variance of A +2B can be computed as follows

x x2

5 25

7 49

9 81

11 121

13 169

4 16

8 64

10 100

12 144

14 196

5 25

7 49

11 121

13 169

15 225

6 36

8 64

10 100

14 196

16 256

7 49

9 81

11 121

13 169

17 289

8 64

10 100

12 144

14 196

16 256

[tex]\Sigma x=315[/tex]       [tex]\sum x^2=3675[/tex]

Therefore variance

[tex]$$\begin{aligned}& =\frac{\sum x^2-\frac{\left(\sum x\right)^2}{n}}{n-1} \\& =\frac{3675-\frac{(315)^2}{30}}{30-1} \\& =\frac{3675-3307.5}{29} \\& =12.6724\end{aligned}$$[/tex]

The Variance of (A +2B) is 12.6724.

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The 10 meters /1 min = 1000 centimeters/min.

What is unit conversion meaning?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

We have,

10 meters per 1 min

We know that,

Meters to a centimeters conversion table

Meters (m) Centimeters (cm)

0.1 m          10 cm

1 m                  100 cm

2 m                  200 cm

3 m                  300 cm

so,

10 m                 1000 cm

1000 centimeters per min.

Hence, the 10 meters /1 min = 1000 centimeters/min.

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Answer: for 216 the answer is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216

for 96 it is  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

for 64 it is  1, 2, 4, 8, 16, 32 and 64.

Step-by-step explanation:

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.

Find the attachment answer

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The conclusion about the triangle is that the two triangles are congruent i.e they are equal

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In the figure, triangle ∆GHJ and ∆ GKM are the two triangles formed.

To prove that triangle GHJ = GKM

angle KGM= angle JGH ( opposite angles)

angle K = angle H (alternating angles)

Therefore angle H = angle J

since the three angles of each triangles are equal, we can say the triangles are congruent.

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The number of permutations of two digits that we can write without 1 and 2 is 64 digits.

To find how many two digit numbers can be formed if we don't use 1 and 2, we find the number of permutations.

Permutations are the number of ways in which n objects can be arranged in x ways. It is given by ⁿPₓ = n!/x!

Now, since we require a two digit number without 1 and 2 in any of the digits, we have 10 digits - 2 digits = 8 digits.

So, we have 8 digits to arrange in both the first digit position and second digit position.

The number of permutations for the first digit is ⁸P₁ = 8.

The number of permutations for the second digit is ⁸P₁ = 8.

So, the total number of permutations for the two digit number is N = ⁸P₁ × ⁸P₁ = 8 × 8 = 64 ways

So, the number of digits that we can write without 1 and 2 is 64 digits.

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Answer:

7.5 x 10^5

Step-by-step explanation:

See the attached worksheet.

Scientific notation is a very convenient protocol for working with, and reporting, very large or small numbers.  It allows one to condense all the non-significant zeros into an expression of 10^x.  Examples:

1)   0.00000000000000000015   becomes 1.5x10^-19, and

2)  45000000000000000000000  becomes 4.5x10^22

Both numbers are much easier to compare, the notation approach saves space (publishers), takes less time to type, and makes the math much easier, as this problem will demonstrate.  It also eliminates many transcription errors.  E.g., try dividing these two numbers using long division.

The specific problem here is to divide two very different numbers.  The attached worksheet explains the steps.  

The right-hand limit, also known as the right sided limit, is the value of a function when its input approaches a value with a small increment.The answer is + ∞

The upper bound of what f(x) can be as x moves toward a from the right, denoted by lim xa+f(x)=L.

By choosing x values that are sufficiently close to a where x>a and xa, we can bring the values of f(x) as close to the limit L as we wish.

The expression for the right hand limit of f(x) is:

f = x+c / x+c-5

can be simplified with some algebraic handling:

f = 1/ x+c - 5/x+c

f = 1/1-5/ x +c

Let be , x =5  as is approaching zero, f is positive and becomes bigger, diverging to . + ∞

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Answer:

6n²+13n-28

Step-by-step explanation:

6n²-8n+21n-28

6n²+13n-28

Hope it helps!

Answer:

I think the answer will be weak positive

The unknown angle in the triangle is as follows:

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

A triangle can be named base on it's angles or sides. They include equilateral triangle, scalene triangle, Isosceles triangle, Right triangle, Acute triangle etc

Therefore, let's solve the angle C of the triangle as follows;

m∠C = 2x

x + 2x + 3x = 180

6x = 180

divide both sides by 6

x = 180 / 6

x = 30

Therefore,

m∠C = 2x = 2(30) = 60 degrees.

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