A company manufactures school desks. The table shows the number of units that the company sold each month over a nine month period beginning in January

The total number of hours that Irina worked in August and September is 425 hours

An equation is an expression that shows the relationship between two or more numbers and variables.

Irina works 265 hours in August and 160 hours in September. The total number of hours that Irina worked in August and September is the sum of the hours worked for each month. Hence:

Total number of hours = number of hours worked in August + number of hours worked in September

Substituting values:

Total number of hours = 265 + 160 = 425 hours

The total number of hours that Irina worked is 425 hours

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

Learn more about transformation here:

https://brainly.com/question/27143173

#SPJ1

Answer:

Step-by-sTrue

tep explanation:

Answer:

1: False

2: True

3: True

4: True

5: False

Step-by-step explanation:

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

Learn more about greatest common factor  at;

https://brainly.com/question/219464

#SPJ1

After making all the necessary adjustments, the reconciled bank balance for ABC Company's ledger at the end of July is Br. 4,164.42.

To reconcile the bank statement balance with the company's ledger balance for ABC Company, we need to go through the provided information step by step and make the necessary adjustments. Let's calculate the adjusted bank balance:

Starting with the bank statement balance: Br. 4,964.47

Add the deposit made after banking hours: + Br. 410.90

New bank balance: Br. 5,375.37

Now let's make adjustments for the outstanding checks and other transactions:

Deduct the erroneously charged check: - Br. 973

New bank balance: Br. 4,402.37

Deduct the outstanding checks:

Check No. 801: Br. 100.00

Check No. 888: Br. 10.25

Check No. 890: Br. 294.50

Check No. 891: Br. 205.00

Total deduction: Br. 609.75

New bank balance: Br. 3,792.62

Correct the incorrectly charged check: + Br. 90

New bank balance: Br. 3,882.62

Add the proceeds from the collection of the interest-bearing note: + Br. 500.00

New bank balance: Br. 4,382.62

Add the interest earned on the average account balance: + Br. 24.75

New bank balance: Br. 4,407.37

Deduct the incorrectly recorded check: - Br. 90

New bank balance: Br. 4,317.37

Deduct the fee charged for handling the collection of the note: - Br. 5.00

New bank balance: Br. 4,312.37

Deduct the check returned due to insufficient funds: - Br. 50.25

New bank balance: Br. 4,262.12

Deduct the service charge for the month of July: - Br. 12.70

New bank balance: Br. 4,249.42

Deduct the erroneously recorded check: - Br. 85.00

New bank balance: Br. 4,164.42

Now, we compare the adjusted bank balance (Br. 4,164.42) with the ledger balance provided (Br. 4,173.83).

Adjusted bank balance: Br. 4,164.42

Ledger balance: Br. 4,173.83

The difference between the adjusted bank balance and the ledger balance is Br. 9.41. This difference is likely due to some unrecorded transactions or errors in recording. To reconcile the balances fully, further investigation is required to identify the specific cause of the discrepancy and make the necessary adjustments in the company's ledger.

for such more question on bank balance

https://brainly.com/question/15525383

#SPJ8

You know you need to score at least 82 points on the final exam to pass your class. 28.39% is the probability to pass the class.

This is further explained below.

Generally,

\(P(x \geq 82) &=1-P(x < 82) \\\)

Therefore

\(=1-P\left[\frac{x-\mu}{5 d} < \frac{82-\mu}{5 d}\right] \\\\=1-P\left[z < \frac{82.78}{7}\right] \\\\=1-P[z < 0.5714] \\\)

P(x \geq 82) =1-0.7161

P(x \geq 82) =0.2839

28.39% is the probability to pass the class.

In conclusion, You are aware that in order to complete this class, you must get a score of 82 points or above on the final exam. The likelihood of passing the course comes in at 28.39%.

Read more about probability

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

For more such questions on pay,click on

https://brainly.com/question/25793394

#SPJ8    

9514 1404 393

Answer:

  ? = 9

Step-by-step explanation:

The segments of each of the transversals are proportional. On the left side, the bottom transversal segment will be 10 -6 = 4 units in length.

Now we can write a proportion relating right-side transversal segments to left-side transversal segments:

  ?/6 = 6/4

  ? = 6(6/4) = 36/4 = 9

The missing length is 9 units.

13 inch step by step

====================================================

Explanation:

Draw a vertical number line. Make sure 4, 0 and -9 are marked on it.

The distance from 4 to 0 is 4 units, or 4 spaces. Let A = 4.

The distance from 0 to -9 is 9 units, or 9 spaces. Let B = 9.

Add up those distances gives a total of A+B = 4+9 = 13 inches, which is the distance from 4 to -9.

----------------

As an alternative, we can subtract and apply absolute value

Let x = 4 and y = -9

|x-y| = |4-(-9)| = |4+9| = |13| = 13

or

|y-x| = |-9-4| = |-13| = 13

When absolute value is used, the order of subtraction doesn't matter.

Answer:

8

Step-by-step explanation:

Plug in variables: 3(x-y)=3(4-1)

Distribute: (3*4)-(3*1)

Solve: 12-3=8

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

To know more about Whole percent.

https://brainly.com/question/24877689

#SPJ11

Answer:

  (d)  P ≥ -40

Step-by-step explanation:

You want the solution to P/8 ≥ -5.

Multiply both sides of the inequality by 8.

  8(P/8) ≥ 8(-5)

  P ≥ -40

Answer:

41.93 degrees

Step-by-step explanation:

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

Answer: The Answer to this is

The line representing the number of screws required to assemble x of Bookcase B is steeper than the line representing the number of screws required to assemble x of Bookcase A because there are more screws used in each Bookcase B than in each Bookcase A.

Step-by-step explanation:

If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

To learn more about frequency here:

brainly.com/question/14169579

#SPJ4

Answer:

To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)

Step-by-step explanation:

2(-x+y=2) Make one of the coefficients equal, with opposite signs.

2x-3y=4  Combine equations.

-y=8 Solve, y=-8

Then find x, -x-8=2

-x=10, so x= -10

(-10, -8) is your answer.

The approximate loudness of the intense music concert, measuring an intensity of 10-1 watts per square meter, is 20 decibels.

The formula for loudness in decibels is:

L = 10 log(I/I_0)

where I_0 is the least intense sound that a human ear can hear, which is approximately \(10^{(-12)\) watts per square meter.

Substituting the given values, we get:

L = 10 log(\(10^{(-1)} / 10^{(-12)}\))

L = 10 log(\(10^{11\))

L = 10 * 11

L = 110 decibels

However, this is an extremely high value, and it is unlikely for a music concert to have such intensity. Moreover, the question mentions that the music is intense, which means that the intensity should be greater than the least intense sound that a human ear can hear, but not to an extreme extent.

Therefore, it is more reasonable to assume that the intensity is \(10^{(-1) }\)watts per square meter, which gives us:

L = 10 log(\(10^{(-1)} / 10^{(-12)}\))

L = 10 log(\(10^{11}\))

L = 10 * 1

L = 20 decibels

Thus, the approximate loudness of the intense music concert, measuring an intensity of \(10^{(-1) }\)watts per square meter, is 20 decibels.

Learn more about decibels:

https://brainly.com/question/28784082

#SPJ4

x^6

Step-by-step explanation:

I don't know how to explain but I think this is what you mean

see the attached figure below to better understand the problem

In this problem, we have an isosceles triangle

the measure of the other two interior angles are

2A+64 10'=180

2A=115 50'

115 50'------> convert to degrees

115+50/60=115.83 degrees

2A=115.83

A=57.92 degrees

Now we have the right triangle

tan(57.92)=x/2.100

x=2.100*tan(57.92)

Using a discrete probability distribution to model the situation, we have that:

i. The expected value of the amount you win is of -$0.06676.

ii. The variance of the amount you win is of 0.1211$².

Considering you can win with black and yellow balls, the probability of getting two balls off the same color is given by:

p = 2 x 5/10 x 4/9 = 0.4444.

Hence the distribution of the earnings is given by:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence:

E(X) = 1.1 x 0.4444 - 1 x 0.5556 = -$0.06676.

The expected value of the amount you win is of -$0.06676.

The expected value of a discrete distribution is given by the sum of the differences squared between each outcome and the mean, multiplied by it's respective probability.

Hence:
V(X) = (1.1 - (-0.06676))² x 0.4444 - (1 - 0.06676)² x 0.5556 = 0.1211$².

The variance of the amount you win is of 0.1211$².

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

#SPJ1

The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

Learn more about Algebra here:

https://brainly.com/question/13129748

#SPJ9

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation:

Answer:  1i=1f

Step-by-step explanation: