Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find out how many more hours he needs to sell for.

Solve for x.


​

The net realizable value of accounts receivable at December 31, Year 1, is the expected amount the company will collect from its accounts receivable. Since 8 percent of the ending accounts receivable balance is estimated to be uncollectible, we need to calculate it:
Ending accounts receivable balance: $27,000
Uncollectible accounts: $27,000 * 8% = $2,160
Net realizable value: $27,000 - $2,160 = $24,840.

To organize the transaction data in accounts under an accounting equation, we need to identify the accounts involved in each transaction and classify them into their respective categories: assets, liabilities, and equity.

Year 1:
1. Issued $10,000 of common stock for cash:
  - Increase in cash (asset) by $10,000
  - Increase in common stock (equity) by $10,000

2. Provided $100,000 of services on account:
  - Increase in accounts receivable (asset) by $100,000
  - Increase in service revenue (equity) by $100,000

3. Provided $27,000 of services and received cash:
  - Increase in cash (asset) by $27,000
  - Increase in service revenue (equity) by $27,000

4. Collected $73,000 cash from accounts receivable:
  - Decrease in accounts receivable (asset) by $73,000
  - Increase in cash (asset) by $73,000

5. Paid $16,000 of salaries expense for the year:
  - Decrease in cash (asset) by $16,000
  - Decrease in retained earnings (equity) by $16,000

6. Adjusted the accounting records to reflect uncollectible accounts expense for the year:
  - Increase in uncollectible accounts expense (expense) by an amount based on the estimate

To prepare the financial statements for Year 1, we need to compile the information from the transactions:

Income Statement:
- Service revenue: $100,000 + $27,000 = $127,000
- Salaries expense: $16,000
- Uncollectible accounts expense: based on the estimate

Statement of Changes in Stockholders' Equity:
- Common stock: $10,000

Balance Sheet:
- Assets:
 - Cash: $10,000 + $27,000 - $73,000 = $-36,000
 - Accounts receivable: $100,000 - $73,000 = $27,000
- Liabilities: None
- Equity:
 - Common stock: $10,000
 - Retained earnings: based on the income statement

Statement of Cash Flows:
- Cash flows from operating activities: $27,000 - $73,000 - $16,000 = $-62,000
- Cash flows from financing activities: $10,000
- Cash flows from investing activities: None

The net realizable value of accounts receivable at December 31, Year 1, is the expected amount the company will collect from its accounts receivable. Since 8 percent of the ending accounts receivable balance is estimated to be uncollectible, we need to calculate it:
Ending accounts receivable balance: $27,000
Uncollectible accounts: $27,000 * 8% = $2,160
Net realizable value: $27,000 - $2,160 = $24,840.

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Answer:

1488 sandwiches in thirty minutes

Step-by-step explanation:

Answer:

QR = 15 cm

PQ = 20 cm

Step-by-step explanation:

Use the Pythagorean theorem. \(a^{2} +b^{2} =c^{2}\)

Find QR first since you know QP are SR.

\(a^{2} +b^{2} =c^{2}\\12^{2} +9^{2} =c^{2}\\144+81=c^2 \\225=c^2\\\sqrt{225} = \sqrt{c^2} \\c = 15\)

QR = 15 cm

Now you can find PQ. First find the length of PR by adding PS and SR together.

16 + 9 = 25

\(a^{2} +b^{2} =c^{2}\\a^{2} +15^{2} =25^{2}\\a^{2} +225 =625\\a^{2} +225-225 =625-225\\\a^{2} = 400\\\sqrt{a^2} =\sqrt{400} \\a = 20\)

PQ = 20 cm

Answer: the answer would be a-y=0.25x+6.5

we have the system

2x+y=10

y=-2

step 1

Find out the intercepts

Line 1

2x+y=10

y-intercept ----> (0,10)

x-intercept ----> (5,0)

Line 2

y=-2

Is a horizontal line that passes through the point (0,-2)

step 2

Graph the given lines

see the attached figure

the intersection point is (6,-2)

that means

the solution is

x=6

y=-2

check the solution

substitute the value of x and y in equation 1

2x+y=10

2(6)+(-2)=10

12-2=10

10=10 ----> is true

that means ----> the solution is correct

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

Given,

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

1) A Poisson distribution characterizes the random variable x that is provided.

2) Having 8 occurrences in 10 minutes is likely based on the following formula:

P(X = 8) = (e^(-5.3) * 5.3^8) / 8! = 0.0241 (rounded to four decimal places) (rounded to four decimal places)

Consequently,

(a) 0.0241 is the correct response.

3) The likelihood that there are fewer than 3 occurrences is as follows:

P(X 3) = P(X = 0), P(X = 1), and P(X = 2) = (e(-5.3) * 5.30), (e(-5.3) * 5.31), and (e(-5.3) * 5.32), respectively, / 0!, / 1/1, and / 2/ respectively, / 2! = 0.0659 (rounded to four decimal places)

Accordingly,

(a) 0.0659 is the correct response.

The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

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The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

Given,

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

1) A Poisson distribution characterizes the random variable x that is provided.

2) Having 8 occurrences in 10 minutes is likely based on the following formula:

P(X = 8) = (\(e^(-5.3)\) * \(5.3^8\)) / 8! = 0.0241 (rounded to four decimal places) (rounded to four decimal places)

Consequently,

(a) 0.0241 is the correct response.

3) The likelihood that there are fewer than 3 occurrences is as follows:

P(X 3) = P(X = 0), P(X = 1), and

P(X = 2) = (\(e(-5.3)\)* 5.30), (\(e(-5.3)\)* 5.31), and (\(e(-5.3)\) * 5.32),

respectively, / 0!, / 1/1, and / 2/ respectively, / 2! = 0.0659 (rounded to four decimal places)

Accordingly,

(a) 0.0659 is the correct response.

The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

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The correct statements are,

B)It has two faces that are decagons.

C)It has 11 faces.

D)It has 20 edges.

What is decagonal pyramid?

A decagonal pyramid is a solid whose base is a decagon or a ten sided figure, regular or irregular. The surfaces are ten isosceles triangles, in case of a regular decagonal pyramid with all the ten vertices meeting at a point.

Here The decagonal prism is formed by two regular decagons as its bases and 10 squares as its other faces. the top of the decagonal prism is a regular decagon, so is the bottom face.

We know that decagonal pyramid has 11 faces and 20 edges and 11 vertices.

Hence the correct statements are,

B)It has two faces that are decagons.

C)It has 11 faces.

D)It has 20 edges.

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Answer: 90 dollars

Work Shown:

i = p*r*t

i = 500*0.03*6

i = 90

Answer:

No ;

Step-by-step explanation:

Given that :

original price = £30.99

sale price = £16

The percentage saving :

(Original price - sale price) / original price * 100%

(£30.99 - £16) / £30.99 * 100%

£14.99 / £30.99 * 100%

= 0.4837 * 100%

= 48.37%

According to the calculation above, the sale price isn't a saving of 46% on the original price, rather it is a saving of 48.37% on the original price.

The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

3, 4 and 5

(3)² + (4)² = 5²

9 + 16 = 25 (True)

Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

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The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

2

Step-by-step explanation:

11/5.5=2

5.5=5:30

Answer:

2.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find

Step 1:

Rewrite it as

.

Step 2:

Multiply the numerator and the denominator by the reciprocal of

.

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1

(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.

(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.

(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4

(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.

(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.

(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1

To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.

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Answer:

The passenger train is moving at 45 miles per hour

Step-by-step explanation:

Let the amount of time it took the two trains to travel the distance = t.

Since the two trains traveled the distance at the same time,

Rate of the passenger train =\(\frac{180}{t}\)

Rate of the freight train = \(\frac{120}{t}\)

Where t is in hours.

From the problem, we can see that the rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Mathematically, we can represent this as

\(\frac{120}{t}= \frac{180}{t}-15\)

from the above equation, we can now get our value for t  as

\(\frac{120-180}{t}=-15\\\frac{-60}{t}=-15\\t=4 hours\)

We have our time of travel for the two trains as 4 hours.

The rate of the passenger train can now be calculated by 180/4 = 45 miles per hour

The solutions to the trigonometric equation in this problem are given as follows:

Two angles are said to be complementary angles when the sum of their measures is of 90º.

For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.

Then the value of θ is obtained as follows:

2θ + θ = 90

3θ = 90

θ = 30º.

θ = π/6.

The equivalent angles, which are also solutions to the equation, are given as follows:

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The solutions of the quadratic equation x³+ 16x -3x² = 48 are 3, –4i, 4i

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation.

We are given the quadratic equation as;

x³+ 16x -3x² = 48

Subtract 48 from both sides;

x³+ 16x -3x² - 48= 48 -48

x³+ 16x -3x² - 48= 0

Factor left side of equation.

(x - 3)( x² + 16) = 0

Therefore, the roots are 3, –4i, 4i

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The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Given -

sin(x) = 0.23 on 0 ≤ x < 2π

To Find -

Two solutions, A and B =?

Step-by-Step Explanation -

So, the two solutions will be -

Now, Since A < B

So,

A = 0.232

B = 2.909

Final Answer -

A = 0.232

B = 2.909

Answer:

  1

Step-by-step explanation:

Eliminate parentheses using the distributive property.

  = -4i +1/4 -5i +3/4 -8i +17i

  = (1/4 +3/4) +i(-4 -5 -8 +17)

  = 1 + 0i

  = 1

Answer:

\(\frac{2}{3}\) lbs per book

Step-by-step explanation:

     We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.

     4 lbs / 6 books = \(\frac{4/2}{6/2}=\frac{2}{3}\) lbs

Each book weighs \(\frac{2}{3}\) lbs

2/3 is equal to about 0.667

Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.

The approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).

The formula for converting periodic interest rate to effective interest rate is

\($$(1+i_{eff})=(1+\frac{r}{m})^m$$\)

where \($i_{eff}$\)is the effective interest rate, r is the periodic interest rate, and m is the number of compounding periods in a year.

In this case, the loan has a single payment period of 11 days. To find the effective interest rate, we need to convert the periodic interest rate to an annual rate. There are different ways to do this, but one common method is to assume that a year has 365 days and use the following formula:

\($$i_{eff}=(1+\frac{r}{365})^{365/t}-1$$\)

where t is the time period in days.

Using this formula, we have:

\($$i_{eff}=(1+\frac{0.093}{365})^{365/11}-1\approx 0.1912$$\)

Therefore, the approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).

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Answer:

⅓

\( \frac{5}{9} \times \frac{3}{5} \)

\( = \frac{1}{3} \times \frac{1}{1} \)

\( = \frac{1}{3} \)

\( \frac{1}{3} \div \frac{3}{5} \)

\( = \frac{1}{3} \times \frac{5}{3} \)

\( = \frac{5}{9} \)

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Hey there!

When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)

“3/5 of 5/9”

3/5 • 5/9

MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!

3(5) / 5(9)

3(5) = 15 ⬅️ NUMERATOR

5(9) = 45 ⬅️ DENOMINATOR

15/45

The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15

15 ÷ 15 / 45 ÷ 15

15 ÷ 15 = 1 ⬅️ NUMERATOR

45 ÷ 15 = 3 ⬅️ DENOMINATOR

Answer: 1/3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

3/4

Step-by-step explanation: