Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]

Answer: irrational

Step-by-step explanation:

because it still cant be turned into a fraction after adding 9 to pi

Answer:

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

Step-by-step explanation:

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:

-177

Step-by-step explanation:

Plug in the values into the equation.

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

-81-36-60=-177.

Answer:

5.1

Step-by-step explanation:

Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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The simplification of the given expression   − 7 w + 2 p is 2.

Negative integers have been real integers less than zero. For instance, 147 and 4 are negative integers, but 0.4181554... and 10 are not; the former is a negative number yet not an integer, whereas the latter is a positive integer.

The given expression is;

= -  7 w + 2 p

The for the variables is given;

w = − 2 and p = − 6

put the values in the expression;

= -7(-2) + 2(-6)

Th multiplication of 2 negative will be positive while one positive one negative will give negative number only.

Thus,

= 14 - 12

Simply subtract;

= 2

Therefore, the result of the given expression is 2.

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The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

The given parameters can be represented on the following table

                 Bread (x)                    Muffins (y)

Prepare         4                                 1                         16

Bake             0.5                            0.5                        10

Profit            35                               10

The parameters from the above table are

Max P = 35x + 10y

Subject to

4x + y <= 16

0.5x + 0.5y <=10

x, y > 0

Solving the above constraints using a graphing calculator, we have the following points

(x, y) = (4, 0) and (0, 16)

Substitute these values in Max P = 35x + 10y

So, we have

P = 35 x 4 + 10 x 0 = 140

P = 35 x 0 + 10 x 16 = 160

160 is greater than 140

Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

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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

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]

The value of the perimeter of square become is 36x - 132.

According to the statement

We have to find that the perimeter of the square.

So, For this purpose, we know that the

The perimeter of the square is defined as the total length of the boundary of a square.

From the given information:

The side of the square is given which is:

9x - 33

Then

We know that the

Perimeter of square  = 4a

And substitute the values in it then

here a = 9x-33

Then after put the values Then

Perimeter of square = 4(9x-33)

Perimeter of square = 36x - 132.

The value of the perimeter of square become is 36x - 132.

So, The value of the perimeter of square become is 36x - 132.

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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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Given equation  y = log2x

         domain {1/2, 1, 2, 4, 8, 16}.

The graph of six points that would satisfy the equation.

 In equation put the value of

x =1/2

y= -1

for x= 1

     y=0

for x= 2

    y=1

for x= 4

     y=2

for x =8

    y= 3

for x= 16

    y=4

Plot the points  {1/2, 1, 2, 4, 8, 16}  on a coordinate plane

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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:

21

Step-by-step explanation:

the price of the lower priced docs for that week would be 3x because the store sold 3 times as many low priced than the higher priced.

> so 90(3x) = 270x

170x + 270x = 440x

3080/440 = 7

7 high priced speakers were sold

to find out the cost of the lower ones you'd do

3x7 and get 21

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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Answer:

1 because their Is only one way to do it

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 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:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

Answer:

9 will be the answer.....

Answer:

ratio: 3 vowels; 2 consonants

media: 3 vowels; 2 consonants

letter: 2 e's; 1 r

electric: 2 e's; 1 r

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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Answer:

121.496

Step-by-step explanation:

Columnar addition

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:

80 and 90

Step-by-step explanation:

[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]

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!