Activity A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you'll work through this pom-pom problem step by step. Part C

The correct solution to the equation (3x-4)/5 = 1 is x = 3. The given options indicate that x = 3 or x = –1/3. Here option B is the correct answer.

To solve the equation (3x-4)/5 = 1, we can follow these steps:

Multiply both sides of the equation by 5 to eliminate the fraction:

5 * [(3x-4)/5] = 5 * 1

Simplify:

3x - 4 = 5

Add 4 to both sides of the equation to isolate the term with x:

3x - 4 + 4 = 5 + 4

Simplify:

3x = 9

Divide both sides of the equation by 3 to solve for x:

(3x)/3 = 9/3

Simplify:

x = 3

Therefore, the solution to the equation (3x-4)/5 = 1 is x = 3.

So, the correct answer is B) x = 3 or x = –1/3.

The answer C) "No solutions" is incorrect since we found a solution. The answer D) "x = –5 or x = 1/5" is also incorrect as it doesn't satisfy the equation (3x-4)/5 = 1.

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Based on the information given in Table 2 of the life tables, the probability of a male living to the age of 44 years is 0.961.

Therefore, the estimated number of males who live to the age of 44 years would be:

Number of males = Probability of living to 44 years * Total population

= 0.961 * 100,000

= 96,100

So, approximately 96,100 males from a randomly selected population of 100,000 males would be expected to live to the age of 44 years.

This estimate is based on the assumption that the probabilities provided in Table 2 accurately represent the survival rates for males in the given age range. The life tables provide statistical data and probabilities based on historical trends and mortality rates.

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Answer:

35° and 55°

Step-by-step explanation:

(x - 20) and x form a right angle (90° ) and are complementary

complementary angles sum to 90° , then

x - 20 + x = 90

2x - 20 = 90 ( add 20 to both sides )

2x = 110 ( divide both sides by 2 )

x = 55

then the 2 angles are

x = 55°

x - 20 = 55 - 20 = 35°

Answer:

32 in represents perimeter u added length times width once which would only give half of the rectangle

Step-by-step explanation:

2(3w+8+w) =32

6w+16+2w =32

8w+16 = 32

8w=16

w=2

In cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. One such method is called standardization.

Cluster analysis is a data mining approach that is widely utilized in data processing, image analysis, and other data-based analytics applications. It groups items that have comparable characteristics into clusters by separating them from other objects that do not share the same features.

Standardization is the process of converting variables with various scales to a common scale so that they can be compared fairly.

Standardization involves transforming all of the variables into comparable units of measurement by converting them into z-scores. This allows for the comparison of values without being affected by the different units of measurement.

The method that can be used to reduce bias due to the difference in units of measurement in cluster analysis is standardization, which converts variables with various scales to a common scale so that they can be compared fairly. This ensures that each variable contributes equally to the distance between the clusters.

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We can infer here that the inverse tangent is used to find a missing angle measure when we are given the opposite side and the adjacent side.

An inverse tangent is known to be the formula that is used to find an angle of a right-angled triangle when certain sides are given. This is true when opposite and adjacent sides are given.

Thus, to find an angle using inverse tangent, we will have: θ = tan-1[ (opposite side) / (adjacent side) ].

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Answer:5,000 Staples/Box

Answer:

£108

Step-by-step explanation:

the rule of the simple interest is:

I=PRT

P=£1800     R=0.02     T=3

I=1800×0.02×3

I=£108

Answer:

I think it is 60

Step-by-step explanation:

I assume that the time of the launch is 0, so just plug in 0 for x.

In order to multiply two fractions, we can follow the steps below:

0. find the product between the two numerators; ,(3 * 7 = 21)

1. find the product between the two denominators; ,(10 * 2 = 20)

2. the product of the two fractions will be the result of step 1 (the numerator of the final result), divided by the result of step 2 (the denominator of the final result):

Therefore, the answer is:

Answer:

0

Step-by-step explanation:

10x-9x=20-20

x=0

a) The profit or loss for the private label product is $223,714 and the profit or loss for the branded product is $125,143 using plantwide allocation.

b) The profit or loss for the private label product is $159,114 and the profit or loss for the branded product is $132,171 using department allocation.

a) Using plantwide allocation, the total manufacturing overhead of $432,000 is allocated based on the total direct labor cost of $336,000 (sum of direct labor costs for both products). The overhead rate is calculated as $432,000 / $336,000 = $1.2857 per dollar of direct labor cost. The overhead cost for each product is then calculated by multiplying the overhead rate by the direct labor cost for that product.

Private Label Branded Total

Sales revenue   $768,000       $480,000         $1,248,000

Direct material    216,000          156,000              372,000

Direct labor         144,000           96,000              240,000

Manufacturing    184,286            122,857              307,143

Total cost            544,286        354,857                899,143

Profit (loss)          $223,714         $125,143            $348,857

The profit or loss for the private label product is $223,714 and the profit or loss for the branded product is $125,143 using plantwide allocation.

b) Using department allocation, the manufacturing overhead of $432,000 is allocated based on the direct labor costs for each department. The overhead rate for department A-101 is $201,600 / $144,000 = $1.4014 per dollar of direct labor cost, and the overhead rate for department A-102 is $230,400 / $96,000 = $2.4000 per dollar of direct labor cost. The overhead cost for each product is then calculated by multiplying the overhead rate by the direct labor cost for that product in each department.

Private Label Branded Total

Sales revenue                   $768,000        $480,000           $1,248,000

Direct material                    216,000           156,000              372,000

Direct labor                         144,000             96,000              240,000

Manufacturing overhead

Department A-101              $201,600           $64,400            $266,000

Department A-102              46,286             31,429                  77,714

Total overhead                  $247,886          $95,829             $343,715

Total cost                         608,886               347,829             956,715

Profit (loss)                          $159,114             $132,171            $291,285

The profit or loss for the private label product is $159,114 and the profit or loss for the branded product is $132,171 using department allocation.

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Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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The values of all the angles are shown:

(A) m∠1: 62°   (B) m∠2: 39°

(C) m∠3: 26°  (D) m∠4: 45°

(E) m∠5: 55°  (F) m∠6: 45°

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry.

Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

So, the following values of the angles are:

(A) m∠1:

28 + 90 + ∠1 = 180

118 + ∠1 = 180

∠1 = 180 - 118

∠1 = 62°

(B) m∠2:

51 + 90 + ∠1 = 180

141 + ∠1 = 180

∠1 = 180 - 141

∠2 = 39°

(C) m∠3:

25 + (180-51) + ∠3 = 180

25 + 129 + ∠3 = 180

154 + ∠3 = 180

∠3 = 180 - 154

∠3 = 26°

(D) m∠4:

∠4 + ∠6 + 90 = 180

∠4 + ∠6 = 180 - 90

∠4 + ∠4 = 90 (∠4 and ∠6 are equal:  Isosceles triangle)

2∠4 = 90

∠4 = 90/2

∠4 = 45°

(E) m∠5:

35 + 90 + ∠5 = 180

125 + ∠5 = 180

∠5 = 180 - 125

∠5 = 55°

(F) m∠6:

∠4 = ∠6 = 45°

Therefore, the values of all the angles are shown:

(A) m∠1: 62°   (B) m∠2: 39°

(C) m∠3: 26°  (D) m∠4: 45°

(E) m∠5: 55°  (F) m∠6: 45°

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The answer is 10.

The value of a digit in a number is determined by its place value. In the number 2,573, the value of the digit 5 is 5 x 100 = 500. In the number 6,459, the value of the digit 5 is 5 x 1,000 = 5,000.

Therefore, the value of 5 in 6,459 is 5,000/500 = 10 times greater than the value of 5 in 2,573.

So, the answer is 10.

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Answer:

Step-by-step explanation:

Answer:

f(x) = (x + 1)((x - 1)^2)(x - 3)

Step-by-step explanation:

Check the attached photo out

The LCM for 20 and 44 is 220.

The least or smallest common multiple of any two or more given natural numbers are termed as LCM.

For example, LCM of 10, 15 and 20 is 60.

According to the question,

LCM for 20 and 44,

Step 1 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 20 and 44.

we get, 10 and 22.

Step 2 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 10 and 22.

we get, 5 and 11.

Then, the LCM for 20 and 44 is 2×2×5×11.

                                                = 220.

Hence LCM for 20 and 44 s 220.

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\(\bold{\huge{\underline{ Solution }}}\)

Here, we have to find the value of x

We have given quadrilateral ABCD here , whose angles are as follows

[ The measure of right angled triangle is 90° ]

We know that,

That is

\(\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}\)

Subsitute the required values

\(\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}\)

\(\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}\)

\(\sf{ 15x - 5 = 360{\degree} - 170{\degree}}\)

\(\sf{ 15x - 5 = 190 {\degree}}\)

\(\sf{ 15x = 190 {\degree} + 5 }\)

\(\sf{ 15x = 195 {\degree}}\)

\(\sf{ x = }{\sf{\dfrac{ 195}{15}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}\)

\(\bold{ x = 13 }\)

Hence, The value of x is 13 .

\(\bold{\huge{\underline{\red{ Verification }}}}\)

Measure of Angle A

\(\sf{ = (6x + 5){\degree}}\)

\(\sf{ = (6(13) + 5 ){\degree}}\)

\(\sf{ = (78 + 5 ){\degree}}\)

\(\sf{ = 83{\degree}}\)

Measure of Angle D

\(\sf{ = (9x - 10){\degree}}\)

\(\sf{ = (9(13) - 10){\degree}}\)

\(\sf{ = (117 - 10 ){\degree}}\)

\(\sf{ = 107{\degree}}\)

Now, we know that,

That is,

\(\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}\)

\(\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}\)

\(\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}\)

\(\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}\)

\(\bold{ 360{\degree} = 360{\degree}}\)

\(\bold{ LHS = RHS }\)

Hence, Proved.

Answer:

a and b shows a solution all you have to do is place the numbers in x value and see if it makes sense for example 8>9 is not a solution but 9> 8 that is a solution so c cannot be a solution

Step-by-step explanation:

Answer:

its a and b

Step-by-step explanation:

Answer: (2, -1)

Step-by-step explanation:

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

D

Step-by-step explanation:

it's D I don't have a full step by step

Answer:

x=11

Step-by-step explanation:

We would add 8 to both sides of the equation, leaving us with x=11

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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Answer:

10 pillowcases

Step-by-step explanation:

Solution:

To determine the inverse of the function given, interchange the x value for the y value and vice versa

The table below give the inverse

Answer:

quotient

Step-by-step explanation:

Answer:

quotient

Step-by-step explanation:

Cancelling identical factors in the numerator and the denominator will give the quotient. For example,x2+5x+6x+3=(x+2)(x+3)x+3 = x + 3