can you please help me with my sisters homework ?

The fraction of the material that each strip represents is 1/12 of a yard.

Susan bought 1/3 of a yard of material to use for the border for the blanket. She cut the material into 4 same-size strips. The problem is asking for the part of a whole yard that each strip represents.

Since Susan has 1/3 of a yard of material and she cut it into 4 same-size strips, we can use division to find the fraction of the material that each strip represents.

Therefore, the fraction of the material that each strip represents is 1/3 ÷ 4.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 4 is 1/4, so we can rewrite the expression as:

1/3 ÷ 4 = 1/3 × 1/4

Now we can multiply the fractions:

1/3 × 1/4 = 1/12

Therefore, each strip represents 1/12 of the whole yard of material.

To know more about the "fraction": https://brainly.com/question/27903912

#SPJ11

Answer:

58

Step-by-step explanation:

lol

use pemdas

50 + 8

58

Answer:

58

Step-by-step explanation:

Answer:

608 hours

Step-by-step explanation:

64% as a decimal is 0.64.

950(0.64) = 608

In polygons, consecutive interior angles share a common side.

To make a conjecture about consecutive interior angles in a parallelogram, we should consider that: A parallelogram is a four-sided quadrilateral with two sets of parallel sides.

The opposite sides of the parallelogram are parallel, and the opposite angles are equal.

The adjacent or consecutive angles of the parallelogram are supplementary in nature, meaning they add up to 180 degrees.

Conjecture Consecutive interior angles of a parallelogram are supplementary.

Know more about polygons here:

https://brainly.com/question/26583264

#SPJ11

Work Shown:

a = change in distance = 492-300 = 192 miles

b = change in time = 12 weeks

c = a/b = rate of change of distance over time = speed of growth

c = (192 miles)/(12 weeks)

c = (192/12) miles per week

c = 16 miles per week

In other words, each time a week goes by, Ryan has walked another 16 miles.

For a related math concept, check out the slope formula. The slope represents the rate of change. It's useful for graphing linear equations.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =135 \end{cases}\implies A=\cfrac{(135)\pi (8)^2}{360}\implies A=24\pi \implies A\approx 75.4\)

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

The three factors that determine the margin of error of a confidence interval for μ are the sample size (n), the standard deviation (σ) of the population, and the desired level of confidence (C).

1. Sample size (n): A larger sample size generally leads to a smaller margin of error because it provides more information about the population.
2. Standard deviation (σ): A smaller standard deviation results in a smaller margin of error since it indicates less variability in the population.
3. Level of confidence (C): A higher desired level of confidence, such as 95%, leads to a larger margin of error as it requires a wider interval to capture the true population mean with a higher degree of certainty.

Therefore, the margin of error of a confidence interval for μ depends on the sample size, standard deviation, and level of confidence. These factors affect the precision and reliability of the estimation.

To know more about Standard deviation visit:

https://brainly.com/question/12402189

#SPJ11

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

To learn more about rearranging the words link is here

brainly.com/question/12976514

#SPJ4

Answer:

2

Step-by-step explanation:

Answer:

\(-16\)

Step-by-step explanation:

\(-3 \cdot (7+(-3)^2) \div 3\)

To simplify this expression, use the order of operations (PEMDAS):

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

First, simplify what is in the parentheses.

\(7 + (-3)^2\)

Remember that any number squared ( \(\Box ^2\) ) is positive, so:

\((-3)^2 = 9\)

Therefore,

\(7 + (-3)^2\)

\(= 7 + 9\)

\(= 16\)

We can now replace the parentheses in the original expression with 16.

\(-3 \cdot (7+(-3)^2) \div 3\)

\(= -3(16) \div 3\)

Finally, simplify by multiplying and dividing.

\(-3(16) \div 3\)

\(= -48 \div 3\)

\(= -16\)

The equation that represents the line that passes through the points is \(y-1 = \frac{5}{4}(x-1)\). The correct option is D. \(y-1 = \frac{5}{4}(x-1)\)

From the question, we are to determine the equation of the line that passes through the given points

Using the formula

\(\frac{y-y_{1} }{x-x_{1}} =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

From the give information,

\(x_{1} = 1 \\y_{1} = 1\\{x_{2} =5\)

\(y_{2} = 6\\\)

Putting the parameters into the formula,

\(\frac{y-1 }{x-1} =\frac{6-1}{5-1}\)

\(\frac{y-1 }{x-1} =\frac{5}{4}\)

∴ \(y-1 = \frac{5}{4}(x-1)\)

Hence, the equation that represents the line that passes through the points is \(y-1 = \frac{5}{4}(x-1)\). The correct option is D. \(y-1 = \frac{5}{4}(x-1)\)

Learn more on Equation of a line here: https://brainly.com/question/12079926

#SPJ1

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

The ratio of the areas of the similar triangles is 1 : 9

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔDEF

And , they are similar triangles

Now , the sides of one are three times as long as the sides of the other

Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:

a : 3a = b : 3b = c : 3c

Simplifying this, we get:

1 : 3 = 1 : 3 = 1 : 3

This means that the corresponding sides of the two triangles are in a ratio of 1:3

Now, let's use the formula for the area of a triangle:

A = ( 1/2 ) x base x height

The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:

(1/2) x 1 x 1 : (1/2) x 3 x 3

So , the ratio is 1 : 9

Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer:

13x^2 - xy

Step-by-step explanation:

4x^2-3xy+2xy+9x^2

=13x^2-xy

Answer:

7x+1

Step-by-step explanation:

Answer:

7x+1

Step-by-step explanation:

Our point is (-5, -4)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

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

(y - (-4)) =-4/5(x - (-5))

y + 4 = -4/5x +4

An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,

y = mx + c

-4 = -4/5 x - 5 + c

-4 = 4 + c

c = -8

The equation will be written as,

y = -4/5x - 8

To know more about an equation of the line follow

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

The expression 2(w + 3z)² can be visualized using an area model as the total area of a rectangle that is divided into four smaller rectangles with dimensions w, 3z, w, and 3z, respectively.

An area model is a graphical representation of a mathematical expression or equation that uses rectangles to represent the different parts of the expression.

Each rectangle has a width and a height that correspond to the variables or coefficients in the expression. The area of each rectangle corresponds to the value of the term it represents.

To represent the expression 2(w + 3z)² using an area model, we can draw a rectangle with a width of 2(w + 3z) and a height of w + 3z, as shown below:

+-----------------------------+

|                             |

|                             |

|                             |

|         w + 3z              |

|                             |

|                             |

|                             |

+-----------------------------+

             2(w + 3z)

We can then divide the rectangle into four smaller rectangles, as shown below:

+-------+-------------+-------+

|       |             |       |

|       |             |       |

|       |             |       |

|  w    |      3z     |   w   |

|       |             |       |

|       |             |       |

|       |             |       |

+-------+-------------+-------+

   w           3zw           w

Each of the four smaller rectangles has an area of w(2w + 6z) or 2zw(2w + 6z), so the total area of the larger rectangle is:

Area = 2(w + 3z)²

    = 2(w² + 6wz + 9z²)

    = 2w² + 12wz + 18z²

We can interpret this area as the sum of the areas of the four smaller rectangles.

To know more about areas visit:

https://brainly.com/question/29213222

#SPJ1

Answer:

the last 3

Step-by-step explanation:

math

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

Learn more about proportional relationships here: brainly.com/question/10424180

#SPJ1

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16