Roy has $253.97 in his bank account. He loans his friend $81.19. How much money does he have in his
account?

∑ Hey, shadowwolf9764 ⊃

Answer:

x = - 7.5

Step-by-step explanation:

Given:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]

Solution~:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]

Distribute:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}[/tex]

Subtract 1/4 from both sides:

[tex]\frac{1}{5}x+\frac{1}{4}-\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}-\frac{1}{4}[/tex]

[tex]\frac{1}{5}x=\frac{9}{4}+\frac{1}{2}x[/tex]

Subtract 1/2x from both sides:

[tex]\frac{1}{5}x-\frac{1}{2}x=\frac{9}{4}+\frac{1}{2}x-\frac{1}{2}x[/tex]

[tex]-\frac{3}{10}x=\frac{9}{4}[/tex]

Multiply both sides by 10:

[tex]10\left(-\frac{3}{10}x\right)=\frac{9\cdot \:10}{4}[/tex]

[tex]-3x=\frac{45}{2}[/tex]

Divide both sides by -3:

[tex]\frac{-3x}{-3}=\frac{\frac{45}{2}}{-3}[/tex]

x = -15/2

x = -7.5

xcookiex12

9/4/2022

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Step-by-step explanation:

find point (-1,-2)

go down one

go to the right one

repeat

draw line with arrows at each end

done!

The greatest common factor of 18 12 16 is the number 2.

Answer:

5.1

Step-by-step explanation:

In the above question the |x| represents the absolute value. |x - 1| < 5  is equivalent to -5 < x - 1 < 5.

Algebra usually requires us to be careful about not just size of a value but also its sign. -10 is different than the 10. 3+7  yields a different result than the 3+(-7) . But there are circumstances in which sign doesn’t matter, in mathematics and in real life. Have you ever stumbled stepping on or off the moving walkway? It doesn’t really matter if you’re moving faster or slower than ground surface—it’s the magnitude of difference that makes you lose your balance. Or think of taking long hike—your feet will get just as the sore whether you go to north or south. Direction doesn’t matter, only the distance.

In mathematics, there’s a concept for dealing with the situations where size matters more than sign. It’s called the absolute value. Absolute value of a number is it's value regardless of its sign.

Given,

|x - 1| < 5

|x| this represents absolute value. It is the distance of x from 0, so value of x can be both positive and negative.

⇒ |x - 1| < 5 can be (x - 1) < 5 and -(x - 1) < 5

⇒ -(x - 1) < 5

⇒ (x - 1) < -5

So equivalent of |x - 1| < 5 is -5 < x - 1 < 5

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Answer:

Its C

which is –5 < x – 1 < 5

Answer: We have two solutions:

1000-998=2

      or

1001 - 999 = 2

The maximum number of performers in each row so that all the rows are equal in length is 8.

From the information, the marching band needs to create rows for its performance. there are 24 instruments and 16 flag bearers.

Therefore, we will find the highest common factor for both numbers. This will be:

24 = 1 2 3 4 ,6 8 12 24

16 = 1 2 4 16

Therefore the highest factor is 8

The maximum number of performers in each row so that all the rows are equal in length is 8.

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The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

The equation of the function is given as

g(x) = |x| - 3

The above function is an absolute value function.

The parent function of an absolute value function is

f(x) = |x|

This means that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 3 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

See attachment for the graph of g(x)

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Answer:

I'm pretty sure the answer is 90

Step-by-step explanation:

27.7 rounded up is 28 and 2.8 rounded up is 3, and the product of those 2 numbers is 84 and 90 is the closest number so that should be the answer :)

Answer:

The answer is 90

Step-by-step explanation:

27.7 rounded up is 28 and 2.8 rounded up is 3 so 28 times 3 is 84 and the closest number to 84 is 90

The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

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Answer:

ratio: 3 vowels; 2 consonants

media: 3 vowels; 2 consonants

letter: 2 e's; 1 r

electric: 2 e's; 1 r

Answer:

he is just so scrumptious

The word "hot" in this phrase is an example of the connotative meaning of the word.

A connotative word is a word that carries additional meanings or associations beyond its literal or denotative meaning.

These additional meanings are often subjective and depend on the individual's cultural, emotional, or personal associations with the word

We have,

Connotative meaning refers to the subjective, cultural, or emotional associations that a word carries beyond its literal definition.

In this context, "hot" is being used to express a positive and attractive quality of Mark, rather than referring to his actual temperature.

The connotative meaning of "hot" in this context is subjective and depends on the cultural and personal associations that people have with the word.

Thus,

The word "hot" in this phrase is an example of the connotative meaning of the word.

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Answer:

-177

Step-by-step explanation:

Plug in the values into the equation.

-q(9)^2-(-6)^2+3(-20)

-81-36-60=-177.

1. Recording the events under an accounting equation is as follows:

                      Assets      =  Liabilities +  Equity

             Cash  +   Supplies              Common Stock + Revenue - Expenses    

1.          $26,500                                                             $26,500

2.                           $7,200   $7,200

3.                            (5,690)                                                                  ($5,690)

Balance $26,500  $1,510   $7,200                             $26,500   -     $5,690

2. The preparation of the income statement, balance sheet, and statement of cash flows for the Year 1 accounting period is as follows:

Yard Professionals

For the Year 1 accounting period

Revenue                 $26,500

Supplies Expense     (5,690)

Net income             $20,810

Yard Professionals

Year 1 accounting period

Cash                               $26,500

Supplies                             $1,510

Total assets                    $28,010

Accounts Payable           $7,200

Equity: Net income          20,810

Total liabilities + equity $28,010

Yard Professionals

For the Year 1 accounting period

Net income               $20,810

Supplies                        (1,510)

Accounts Payable       7,200

Cash (Operations)  $26,500

3. The balance in the Supplies account as of January 1, Year 2 is $1,510.

4. The balance in the Supplies Expenses account as of January 1, Year 2 is $5,690.

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The x-intercept is 0.4 and the y-intercept is 1.2.

Given that, an amusement park charges $70 for admission before 6 P.M. and $25 for admission after 6 P.M. On Saturday, the park took in a total of $28,000.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x represent the admissions sold before 6 P.M., and let y represent the admissions sold after 6 P.M.

According to the question, we get the equation as 70x+25y=28,000

The graph of the obtained equation is given below.

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

From the graph, the x-intercept is 0.4 and the y-intercept is 1.2.

Therefore, the x-intercept is 0.4 and the y-intercept is 1.2.

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Answer:

121.496

Step-by-step explanation:

Columnar addition

Using translation concepts, the new location after the jump will be at (9,9).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation rule for this problem is:

(x,y) -> (x + 4, y + 9).

Which means that the coordinates move 4 units right and 9 units up.

The initial position is:

(5,0).

Hence the final position is:

(5,0) -> (5 + 4, 0 + 9) = (9,9).

The new location after the jump will be at (9,9).

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Answer:

Note: Numbers are blocked in groups of two digits for convenience only. In using this table you can read numbers of any number of digits in any way you want.

Step-by-step explanation:

09/14/2022 9 ‑ 10 ‑ 20 ‑ 22 ‑ 52 25 3 $206 Million Roll

09/12/2022 6 ‑ 14 ‑ 16 ‑ 34 ‑ 66 25 3 $193 Million Roll

09/10/2022 38 ‑ 42 ‑ 56 ‑ 68 ‑ 69 4 2 $186 Million Roll

Answer:

9 will be the answer.....

The value of the c is 1 which makes the perfect square trinomial.

According to the statement

We have to find that the value of the c.

So, For this purpose, we know that the

An expression obtained from the square of the binomial equation is a perfect square trinomial.

From the given information:

The Given statement is:

x² - 2x + c

is a perfect square of the form

(x - a)² = x² - 2ax + a²

Now,compare with x² - 2x + c, then

- 2a = - 2 ⇒ a = 1,

thus

a² = 1² = 1 = c

(x - 1)² = x² - 2x + 1 ← perfect square trinomial

It means the value of c is 1.

So, The value of the c is 1 which makes the perfect square trinomial.

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The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°

When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.

Now, we are given;

∠U = 3x°

∠V = 3(∠U)

Thus;

∠V = 3(3x°) = 9x°

From definition of supplementary angles, we can say that;

3x° + 9x° = 180°

12x = 180°

x = 180/12

x = 15°

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Answer:

18 cups of sugar

Step-by-step explanation:

I don't see any answer choices in your post but assuming it she has to use 3 cups of sugar for every 2 cups of flour, then that would mean she has to use 3/2 cups of sugar for every 1 cup of flour.

So if she uses 12 cups of flour she will have to use (3/2) x 12 = 18 cups of sugar

If a pipe is leaking at a rate of 8 US fluid ounces per minute, then 3.75 US liquid gallons of the fluid will leak from the pipe in an hour.

As per the question statement, a pipe is leaking at a rate of 8 US fluid ounces per minute and we are required to calculate the amount of leak that will occur at the same rate of leakage, in an hour, in the units of US liquid gallons.

To solve this question, we need to know to know about two basic mathematical conversions, i.e.,

1 US Liquid Ounce = 0.00781 US Liquid Gallons, and

1 hour = 60 minutes.

Therefore, amount of leak that will occur at the rate of 8 US fluid ounces per minute, in an hour = [tex](8 * 60)=480[/tex] US fluid ounces.

And 480 US fluid ounces = [tex](0.00781 * 480)=3.75[/tex] US Liquid Gallons.

Hence, 3.75 US Liquid Gallons of fluid will leak from the pipe in an hour.

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1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.

1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.

2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.

2b)The total fixed portion of the sales representatives’ compensation is $14,000.

3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.

3b)The total fixed portion of the sales representatives’ compensation is $14,000.

Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.

In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.

The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.

The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.

Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.

When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.

When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.

The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.

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Answer:

Hi

Your answer is 43.

Solve(Using PEMDAS order of operations):

[tex]18\div \:2\times \:4\\18\div \:2=9\\=9\times \:4\\=36\\=14+36-7\\14+36=50\\=50-7\\=43[/tex]

Answer:

c. Fence posts with a cost of $10 would sell for how much?

Step-by-step explanation:

Answer:

9.06 ÷ 6 = 1.51

Hope this helps :)

Check:

1.51

× 6

-------

9.06

Move decimal 2 times to the left un 9.06 because in the number 1.51 there are 2 numbers behind the decimal.

Answer:

1 because their Is only one way to do it

The profit function is P(x) = ( - x² / 5000 ) + 13.9x - 75000.

50,000 baseball game tickets were sold at $4 per ticket.

When the price is raised to $5, then 45,000 tickets were sold.

The variable and fixed costs for the ballpark owners are $0.10 and $75,000 respectively.

Let's say x is the number of tickets sold, and P is the profit.

Then,

P = ax + b

At P = 4,

4 = (50000)a + b                                                                                  ---------(1)

At P = 5,

5 = (45000)a + b                                                                                  --------(2)

Subtracting (2) from (1),

4 - 5 = (50000)a + b - (45000)a - b

- 1 = 5000(a)

a = ( - 1/5000)

So if a = ( - 1/5000),

Then,

4 = (50000)a + b

4 = (50000)( - 1 / 5000 ) + b

4 = -10 + b

b = 14

Therefore,

p(x) = ( - x /5000) + 14

Now, the profit function is:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Now, R(x) =  xp(x)

R(x) = x[ ( - x/5000) + 14]

R(x) = ( - x² / 5000 ) + 14x

The fixed cost is F(x) = $75000

Hence, the costs will be:

C(x) = 75000 + (0.10)x

Therefore the profit function is:

P(x) = R(x) - C(x)

P(x) = ( - x² / 5000 ) + 14x - 75000 - (0.10)x

P(x) = ( - x² / 5000 ) + 13.9x - 75000

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The complete question is mentioned below:

When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ballpark owners are $0.10 and $75,000 respectively.

Find the profit P as a function of x, the number of tickets sold