Which measurement is not equivalent to the others? 1 yard 3 feet 1/100 of a mile 36 inches

Scenario: A small business owner needs to analyze their sales data to make informed decisions about pricing and profitability.

Supporting Detail 1: The concept of linear equations can be applied to determine the break-even point and set optimal pricing strategies for the business.

Worked Example 1: Let's say the small business sells a product for $10 each, and the fixed costs (expenses that don't vary with the number of units sold) amount to $500. The variable costs (expenses that depend on the number of units sold) are $2 per unit. We can use the formula for a linear cost equation (C = mx + b) to find the break-even point where revenue equals total costs:

10x = 2x + 500

Simplifying the equation, we get:

8x = 500

x = 500/8

x = 62.5

The break-even point is 62.5 units. Knowing this information, the business owner can make decisions about pricing, cost control, and production targets.

Supporting Detail 2: The concept of systems of equations can be applied to optimize the allocation of resources in the business.

Worked Example 2: Let's consider a scenario where the business owner sells two different products. Product A generates a profit of $5 per unit, while Product B generates a profit of $8 per unit. The business owner has a limited budget of $500 and wants to determine the optimal allocation of resources between the two products. We can set up a system of equations to represent the profit constraints:

x + y = 500 (total budget)

5x + 8y = P (total profit, represented as P)

By solving this system of equations, the business owner can find the optimal values of x and y that maximize the total profit while staying within the budget constraints.

Conclusion: Applying concepts from this algebra course to real-life scenarios, such as analyzing sales data for a small business, helps in understanding the material by providing practical applications. It demonstrates the relevance of algebra in making informed decisions, optimizing resources, and maximizing profitability.

These examples highlight how algebraic concepts enable problem-solving and provide valuable tools for individuals in various fields, including business and entrepreneurship.

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Answer:

7 1/4

Step-by-step explanation:

convert to improper fraction 3 5/8 = 3x8/8 + 5/8 = 24+5/8 =29/8

divide 29/8 divided by 1/2 = 58/8

simplify  7 1/4

Hope this helps! <3

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Based on the above information, the calculation is as follows:

\(= 1000 \times 3.5\% \times 3\)

= 105

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A graph of the points with its ordered pair to show the number of cereal boxes there are for shipment of 4, 8, 10, 14, and 16 cases is shown in the image attached below.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 144/24

Constant of proportionality, k = 6.

When x= 4, the number of cereal boxes y is given by:

y = 6x

y = 6(4)

y = 24 ⇒ ordered pair (4, 24).

When x= 8, the number of cereal boxes y is given by:

y = 6x

y = 6(8)

y = 48 ⇒ ordered pair (8, 48).

When x= 10, the number of cereal boxes y is given by:

y = 6x

y = 6(10)

y = 60 ⇒ ordered pair (10, 60).

When x = 14, the number of cereal boxes y is given by:

y = 6x

y = 6(14)

y = 84 ⇒ ordered pair (14, 84).

When x = 16, the number of cereal boxes y is given by:

y = 6x

y = 6(16)

y = 96 ⇒ ordered pair (16, 96).

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Answer:

16 visitors per hour

Step-by-step explanation:

96/6 = 16

A quadratic equation in one unknown;

has two roots. In order to determine these roots, we need to apply certain operations. We can get information about the existence of these roots by discrimination. Below is the discrimination formula.

If we apply discriminant for the above equation, we obtain the following expression;

If the discriminant number is greater than \(0\), the equation has two real and distinct roots.

Now let's remember our formula for finding the roots and solve the problem using the discriminant value.

Therefore;

Other root is;

Answer:

C

Step-by-step explanation:

Red is 30, so 30/100 or 0.3

Most is yellow.

So its C

Hope this helps plz hit the crown :D

Answer:

c

Step-by-step explanation:

Answer:

The graph has random dots all over

Step-by-step explanation:

Answer:

x =  √ 40

Step-by-step explanation:

Answer: $2.50

Step-by-step explanation: First, divide 10 by 4, which is 2.5.

Second, convert the decimal into a monetary amount, by adding a 0 at the end of the decimal, then adding a dollar sign. I hope this was helpful! FYI, I did NOT Google the explanation, it was all me!!!

Answer:

Step-by-step explanation:

(a). Opposite angles formed when the two lines cross each other at a point are called as vertical angles.

    Therefore, ∠2 and ∠3 is a pair of vertical angles.

(b). Two adjacent angles on a straight line are linear pair of angles.

    ∠2 and ∠4 are linear pair of angles.

(c). Linear pair of angles are supplementary.

   Therefore, ∠2 and ∠4 are supplementary angles.

   m∠2 + m∠4 = 180°

There are a total of 12 choices for a small cup and 12 choices for the flavor, resulting in 12 possible selections. For the large cup, there are 12 choices for the first scoop and 11 choices for the second scoop (excluding the flavor already chosen), resulting in 132 possible selections.

The number of possible selections, we consider the choices for each cup size separately.

For a small cup, there are 12 flavors to choose from, so there are 12 possible selections.

For the large cup, we need to choose two different flavors. We have 12 choices for the first scoop, and once we have chosen a flavor, there are 11 remaining flavors for the second scoop (since it must be different from the first). This gives us a total of 12 * 11 = 132 possible selections.

Therefore, combining the possibilities from the small cup (12) and the large cup (132), there are a total of 12 + 132 = 144 possible selections at Cold Cup o' Cream.

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The annual simple interest rate for Lona's certificate of deposit is approximately 1.4% when rounded to the nearest tenth of a percent. Therefore, the annual simple interest rate for Lona's certificate of deposit is approximately 40.6%.

To find the annual simple interest rate, we can divide the total interest earned over the 36-month period by the principal amount and then multiply by 100 to convert it to a percentage.

Lona placed $6200 in the certificate of deposit, and she earns $70 each month for 36 months. To calculate the total interest earned, we can multiply the monthly interest of $70 by the number of months (36). This gives us a total interest of $2520.

Next, we divide the total interest earned ($2520) by the principal amount ($6200) and multiply by 100 to get the interest rate as a percentage.

($2520 / $6200) * 100 ≈ 40.6451613...

Rounding this value to the nearest tenth of a percent gives us approximately 40.6%. Therefore, the annual simple interest rate for Lona's certificate of deposit is approximately 40.6%.

If there are compounding periods or other terms associated with the certificate of deposit, the calculation of the interest rate may differ.

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The t times u is approximately equal to -139.7.

To find t times u, we use the formula for the dot product: t · u = |t||u|cosθ, where θ is the angle between the vectors. Since we are only given the vectors t and u, we need to find their magnitudes and the angle between them.

The magnitude of t is |t| = √(7^2 + (-3)^2) = √58, and the magnitude of u is |u| = √((-10)^2 + (-8)^2) = √164.

To find the angle between t and u, we use the formula cosθ = (t · u)/(|t||u|). Substituting the values we know, we get cosθ = ((7)(-10) + (-3)(-8))/((√58)(√164)) = -74/(2√1017). Using a calculator, we find that θ ≈ 131.5 degrees.

Now we can find t · u: t · u = |t||u|cosθ = (√58)(√164)(cos(131.5)) ≈ -139.7.

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Answer:

can you just mark me brainleyest.

Step-by-step explanation:

The equation of the line is \(y = 1/3 (x) - 7/3\)

Using the slope 1/3 and the points (4,-1) to find the y- intercept

y= mx+c

-1= 1/3 (4) + c

 -1 = 4/3 +c

  -3 = 4 +3c

  -7 = 3c

   c = -7/3

Write the equation in slope intercept form as :

y = mx+ c

y = 1/3(x) + (-7/3)

\(y = 1/3 (x) - 7/3\)

Hence the equation of the line is \(y = 1/3 (x) - 7/3\)

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None of the equations are correct.

What is an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. In other languages, the word equation and its cognates may have slightly different meanings. In French, an équation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

For perpendicular equations, the product of slope is -1, but none of the options here is have slope whose product with the given equation is -1.

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Answer:

$6291.70

Step-by-step explanation:

You have the equation and a value to solve for. So, plug this in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = $6291.70.

The number of contestants in round 5 is 128.

The formula used to calculate the number of contestants in round N is:  

Number of contestants in round N = (Number of contestants in round N-1)^((N-1)/N), rounded to the nearest integer.

Given that the number of contestants in round 2 is 243, then the number of contestants in round 5 can be calculated as follows:

Number of contestants in round , rounded to the nearest integer

Therefore, the number of contestants in round 5 = 128.

To summarize, the number of contestants in round 5 is 128, which is calculated by raising the number of contestants in the previous round (round 2) to the ((N-1)/N)-th power and rounding the result to the nearest integer.

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complete question:

A singing contest eliminated contestants after each round the number of contestants that go into round N is equal to the number of contestants in the previous round, raised to the (n-1/n)-th power, rounded to the nearest integer. The number of contestants in around two is 243. How many contestants will be in around five

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Parallel lines and Transvell.

We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.

hence, we get as,

1.) x = 60° , y = 60°.....(vertically opposite angles)

2.) x = 120° , y = 120°

3.) x = 105° , y = 75°

4.) x = 140° and y = 40°

All are above done.

The correct option is C) The speed is decreasing because the distance traveled during each time increment is increasing.

The answer to the question is option C) The speed is decreasing because the distance traveled during each time increment is increasing.

Explanation:A group of students collected distance versus time data for a model car. There could be many types of data that can be collected with respect to distance and time.

For instance, distance could be in miles or kilometers, whereas time could be in seconds, minutes, or hours.In this case, the relation between the distance and time of a model car is given, and we have to describe how the speed of the car is changing over time. If the distance traveled during each time increment is increasing, then the speed is decreasing.

Thus, the correct option is C) The speed is decreasing because the distance traveled during each time increment is increasing.

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Answer:

Step-by-step explanation:

To understand the relationship between -41/2 and its opposite position in relation to zero on a number line, let's first plot them on the number line.

We start by marking the position of zero at the center of the number line, and then we can represent -41/2 and its opposite position by moving to the left and right of zero respectively.

When we move 41/2 units to the left of zero on the number line, we reach the point -41/2. This means that -41/2 is located to the left of zero on the number line.

On the other hand, the opposite position of -41/2 is obtained by moving the same distance (41/2 units) to the right of zero. This position is represented by the point 41/2 on the number line.

Therefore, we can see that -41/2 and its opposite position (41/2) are equidistant from zero on the number line, with zero located exactly halfway between them. In other words, -41/2 and 41/2 are located at equal distances from zero but in opposite directions. This relationship is often referred to as the symmetry property of the number line.

Answer:

They are the same shape and ratio, but are in different scales/size

Step-by-step explanation:

Answer:

Solutions below.

Step-by-step explanation:

This question tests on the concept of Composite Functions

Composite functions are functions that is derived from another new and separate function.

Example: f(x) = 5x, g(x) = 9x , (f • g)(x) = f(g(x)) = f(9x) = 5(9x) = 45x

Given to us are 2 functions:

f(x) =

\( {x}^{2} - 7x + 4\)

g(x) =

\( - 2x\)

We are asked to find (f • g)(4). We first find (f • g)(x).

(f • g)(x) = f(g(x)) = f(-2x) =

\( {( - 2x)}^{2} - 7( - 2x) + 4 \\ = 4 {x}^{2} + 14x + 4 \\ = 2(2 {x}^{2} + 7x + 2)\)

Now, we will find the value of (f • g)(4) by substituting x = 4 into (f • g)(x).

(f • g)(4) =

\(2(2 {(4)}^{2} + 7(4) + 2) \\ = 2(2(16) + 28 + 2) \\ = 2(32 + 28 + 2) \\ = 2(62) \\ = 124\)

To find the height of the trapezoid, we can use the formula for the area of a trapezoid, which is:

Area = (1/2) × (Base1 + Base2) × Height

In this case, the area (A) is given as 28 sq. ft., Base1 (b1) is 5 ft., and Base2 (b2) is 9 ft. We need to find the height (h).

28 = (1/2) × (5 + 9) × h

First, add the two bases together:

28 = (1/2) × (14) × h

Now, divide both sides of the equation by 7 (the result of multiplying 1/2 by 14) to isolate the height:

28 / 7 = h

h = 4 ft.

The height of the trapezoid is 4 feet.

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Answer:

Rounded answer: 9.4 in

Step-by-step explanation:

Circumference: 2 times radius times pi

Or in this case: Diameter times pi

Therefore, 3 times pi

= 9.4247779607694

Or if rounded

= 9.4

Answer:

Angle DEC = 82

Step-by-step explanation:

All the angles in a triangle added together will always equal 180. Look at the picture for all the work.

Check the picture below.