In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0. An equation created to find the digit in the ones place will have . Reset Next

Answer:

18

Step-by-step explanation:

2 + 1 + 2 + 2 + 3 + 1 + 0 + 0 + 3 + 2 + 0 + 1 + 0 + 1

Get rid of the zeros

2 + 1 + 2 + 2 + 3 + 1 + 3 + 2 + 1 + 1

18

Answer:

⁵/₈.b + ⁴/₅

Step-by-step explanation:

Simply combine like terms, so the two terms involving b;

The expression cannot be simplified further.

You could take out a common divisor, which is the multiplication of the two denominators:

¹/₄₀.(25b + 32)

But this is not necessarily simpler so the answer above is acceptable

Andualem needs to sell approximately 113 furniture pieces in order to break even.

To break even, Andualem needs to sell enough furniture to cover the total investment cost and the cost per item. By dividing the total investment cost by the profit per item, we can determine the volume of furniture Andualem needs to sell in order to break even.

To calculate the volume of furniture necessary for Andualem to break even, we need to consider the total investment cost and the cost per item.

The total investment cost includes the cost of plant and equipment, which is estimated to be $225,000. The cost per item includes labor, materials, packaging, and shipping, which amounts to $1,000 per item.

To break even, Andualem needs to cover both the total investment cost and the cost per item through the sale of furniture. The profit per item can be calculated as the selling price minus the cost per item, which is $3,000 - $1,000 = $2,000.

Now, to determine the volume of furniture necessary for Andualem to break even, we divide the total investment cost by the profit per item.

Volume = Total investment cost / Profit per item

Volume = $225,000 / $2,000

Volume = 112.5

Therefore, Andualem needs to sell approximately 113 furniture pieces in order to break even. It is important to note that the volume calculated is rounded up to the nearest whole number, as selling fractional furniture pieces is not feasible.

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Answer:

y is 107° and z is 36°

Step-by-step explanation:

73° and y are supplementary angles so they add up to 180°

Answer:

y = 107

z = 36

Step-by-step explanation:

We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:

y + 73 = 180

and

y = 107

Next, using vertical angles, we can say that:

5z - 73 = y

We already have y = 107, so we can substitute that in:

5z - 73 = 107

5z = 180

z = 36

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear but let me help.

For Maths test,

Point earned = 30

Total point = 43

Percentage = 30/43 × 100 = 69.77%

Social studies test

Point earned = 85.

Total point = 124

Percentage = 85/124 × 100 = 68.55%

From the above, we can see that Jake scored a higher percentage in the Maths test.

In ICD-10-CM, only two code categories are used to report infectious arthropathies: M00 and M01.

The codes in these categories are used to describe the variety of arthropathies that can be caused by various bacterial, viral, fungal, and other infectious agents.

The M00 code group includes pyogenic arthritis, osteomyelitis, and other non-tuberculous infections of joints and bones. The M01 code category includes other types of arthritis and arthropathies caused by bacteria, viruses, fungi, and parasites, as well as other infectious agents.

Infectious arthropathies are diseases that cause joint inflammation and pain as a result of infection with a variety of infectious agents, such as bacteria, viruses, fungi, and parasites. Symptoms vary depending on the type of infection, but they usually include pain, swelling, redness, stiffness, and limited mobility.

The diagnosis of infectious arthropathies usually involves a combination of physical examination, laboratory testing, and imaging studies. Treatment usually involves antibiotics or antiviral medications, as well as pain management and physical therapy.

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Answer:

Y=1/4x-1

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = x^3 -4x^2 +4x -16

Step-by-step explanation:

If 2i is a zero, then its conjugate, -2i, is also a zero. When p is a zero, then (x-p) is a factor. For the three given zeros, the factors are ...

  f(x) = (x -4)(x -2i)(x +2i)

  f(x) = (x -4)(x^2 +4)

  f(x) = x^3 -4x^2 +4x -16 . . . . . . multiplied out to standard form

Now, f(2) = (2 -4)(2^2 +4) = (-2)(8) = -16. This is the required value, so we're done.*

  f(x) = x^3 -4x^2 +4x -16

_____

* If the required value were something else, then we would have to multiply the f(x) we found by some factor to make the value of f(2) come out right. That factor would be ...

  k = (desired f(2))/(f(2) for our function so far)

In this case, ...

  k = -16/-16 = 1

Answer:

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

x

=

6

+

3

y

2

Answer:

vertical maybe if try it and see

Answer:

Monthly pay = int. rate / 12 months * cost of car after downpayment / (1-(1+ int. rate/12 months)^( - term length of loan )

Step-by-step explanation:

Just plug in your numbers:

M = 0.0375/12 * 30000/(1-(1+.0375/12)^60)

since 5 years is 60 months

Answer:93 1/3 yards or 280ft

Step-by-step explanation:Step-by-step explanation: first I converted it all into feet. Giving me L=9ft H=8ft and W= 4ft

Then inserted the values into the formula for surface area SA=2lw+2lh+2hw. Then solved it all out in a calculator

a. P(E) = 0.41.

b. P(C) = 0.29.

c.  P(L) = 0.26.

d. P(E and C) = 0.22.

To determine the probabilities, we can use the given information about the percentages of passengers who check work e-mail, use a cell phone, and bring a laptop on vacation.

a. P(E) represents the probability that a traveler on vacation checks work e-mail. According to the information provided, 41% of the passengers check work e-mail. Therefore, P(E) = 0.41.

b. P(C) represents the probability that a traveler on vacation uses a cell phone to stay connected. The information states that 29% of the passengers use a cell phone. Therefore, P(C) = 0.29.

c. P(L) represents the probability that a traveler on vacation brought a laptop. The given information indicates that 26% of the passengers bring a laptop. Therefore, P(L) = 0.26.

d. P(E and C) represents the probability that a traveler on vacation both checks work e-mail and uses a cell phone to stay connected. From the information provided, it is stated that 22% of the passengers fall into this category. Therefore, P(E and C) = 0.22.

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Which of the following pairs of numbers has a least common multiple of 48 ?

A. 3 and 12

C. 4 and 9

D. 6 and 8

-KeonLee

I hope it help

#Carry on learning

Answer:

(-3, -1) (-2, 3)

(-2, 3) (-2, 3)

Step-by-step explanation:

Answer:

I think this is your answer _. 4 ×( _ 2°3)

Answer:

Step-by-step explanation:

1-2sin²∝=cos 2∝

1-2sin²(105)=cos(2×105)

=cos 210

=cos (180+30)

=-cos 30

\(=-\frac{\sqrt{3}}{2} \\\)

The correct answer is option A which is the value of the expression is -√3/2.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The expression will be solved as:-

1-2sin²∝=cos 2∝

1-2sin²(105)=cos(2×105)

1-2sin²(105=cos 210

1-2sin²(105=cos (180+30)

1-2sin²(105=-cos 30

1-2sin²(105 = -√3/2.

Therefore the correct answer is option A which is the value of the expression is -√3/2.

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In order to lengthen the spring from its natural length to 0.9 feet beyond it, 4.608 feet-pounds of labor must be done.

Given data;

A force of 6 pounds is required to hold a spring stretched 0.5 feet beyond its natural length.

The force required = force in spring

6 = 0.5 * k

Where k is spring constant.

∴ k = 6/0.5 = 12 pound/feet

Energy stored in the spring = (k * 2) / 2, if the spring is stretched by a distance 'x'

Conserving energy, we get energy stored in the spring = work done in stretching the spring

∴Work done = 0.6 * (12) * (0.9)²

                     = 4.608 feet-pound

Hence, 4.608 feet-pound work is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.

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The cost of each notebook the customer purchased is $1.19

From the question, we are to determine how much each notebook the customer purchased cost.

Let's assume the price of each notebook is "x" dollars. Then, we can set up the following equation to solve for "x":

12x = 48 - 33.72

We can simplify the right side of the equation:

12x = 14.28

Then, we can solve for "x" by dividing both sides by 12:

12x/12 = 14.28/12

x = 1.19

The value of x is 1.19

Hence, each notebook costs $1.19.

Here is the correct question:

A customer purchased 12 notebooks at the same price each. The customer had $48 before purchasing the notebooks and was left with $33.72 after purchasing them. How much did each notebook cost?

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Answer:108 inches

Step-by-step explanation:

to find the area of one of the right triangles you do.

base = 6/2 =3

3x6=18

18/2=9

there are 8 right triangles so you would do

9x8 = 72.

then you would add 72 and the area of the square in the middle

6x6=36

36+72= 108

so Area of SA = 108 inches ^2

The equation describes a line that contains the point (4, -3) is y = ( -1/25 )x - 71/25 .

Given :

The point (4, -3) and is perpendicular to the line represented by the equation y = 25x +3 .

Here slope m = 25

Perpendicular slope = -1 / m

= -1 / 25

The line equation is y = mx + c

Substitute m and ( 4 , -3 ) we get

-3 = -1/25 * 4 + c

-75 = -4 + 25c

-71 = 25c

c = -71/25

y = mx + c

y = ( -1/25 )x - 71/25

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Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

Answer:

x= 69

Step-by-step explanation:

360 - all the internal angles = 69

Answer:

the sum of the interior angles of a quadrilateral is 360°.

x+132+91+68=360 °

x=360-291

x=69°

this is the answer

plz give branliest ans+ thanks

The average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

Solution:

We know that; Utilization factor = ρ = λ/μ where λ is the arrival rate, μ is the service rate.1. Calculation of Utilization factor Before Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second.

Current service time has averaged 25 seconds with a standard deviation of 20 seconds.

Thus, μ = 1/25 per second = 0.04 per second.So, ρ = λ/μ = 0.0333/0.04 = 0.833

After Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second. A suggested process change has been tested and shown to change service time to an average of 27 seconds with a standard deviation of 10 seconds.

Thus, μ = 1/27 per second = 0.0370 per second.So, ρ = λ/μ = 0.0333/0.0370 = 0.8998 2. Calculation of average waiting time in the queue (Wq)

Before Change:

Average waiting time in the queue, Wq= (ρ²+ρ)/2*(1-ρ) * (1/λ) * (1/μ- λ)Given, ρ = 0.833; λ = 0.0333; μ = 0.04

Therefore, Wq= (0.833²+0.833)/2*(1-0.833) * (1/0.0333) * (1/0.04- 0.0333)= 4.882

After Change:

Given, ρ = 0.8998; λ = 0.0333; μ = 0.0370

Therefore, Wq= (0.8998²+0.8998)/2*(1-0.8998) * (1/0.0333) * (1/0.0370- 0.0333)= 3.554

Thus, the average waiting time in the queue (Wq) will decrease.

3. Calculation of average server utilization before Change:

Given, ρ = 0.833

Thus, the average server utilization is 83.3%

After Change:

Given, ρ = 0.8998

Thus, the average server utilization is 89.98%

Therefore, the average server utilization will increase.

Hence, the average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

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The line which is not transversal to LR would be Line TK.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Properties of Parallel Lines Cut by a Transversal

The corresponding angles are equal and the vertically opposite angles are equal.

The alternate interior angles are equal and the alternate exterior angles are equal.

Also, pair of interior angles on the same side of the transversal is supplementary.

Since we know that transversal is a line that intersects two or more other lines at different points.

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Line TK is not transversal to line LR.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.

Given,

Line PR and KT are parallel

By the figure,
PR = LR

and KT = TK
PR || KT

∴ LR || TK

Hence, TK is the line, that is not the transversal line to LR.

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Answer:

97500 apples left

Step-by-step explanation:

haha hope this helps

Answer:

those are the right answers

Step-by-step explanation:

for sin90 you have to put sin(90) which is 1, all the other answers r correct (same with my calculator)

Answer:

Step-by-step explanation:

10 grams

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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