Problem 7.2 A recipe for chocolate chip cookies uses 3 tablespoons of cookie batter for every 2 tablespoons of chocolate chips. y 1.5 Use b for the number of tablespoons of cookie batter and c for the number of tablespoons of chocolate chips. Write an equation that represents the graphed line. Submit ((1.1.5)

The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:

Beginning inventory of finished goods $11,850

Cost of goods manufactured                485,310

Ending inventory of finished goods      (12,670)

Cost of Goods Sold                           $484,490

The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.

The cost of goods sold budget is based on the cost of goods manufactured budget.

Direct materials:                            Enamel        Paint     Porcelain      Total    

Total direct materials purchases

budgeted for September            $35,870    $7,530    $139,890  $183,290

Estimated inventory, September 1   1,730        4,150          6,920      12,800 Desired inventory, September 30 (2,980)      (2,710)         (7,150)    (12,840)

Materials used in production                                                          $183,250

Direct labor cost:           Kiln Department    Decorating Department   Total

Total direct labor cost

budgeted for September    $51,550                   $149,500        $201,050

Finished goods inventories:             Dish       Bowl     Figurine             Total

Estimated inventory, September 1  $5,810   $3,310     $2,730        $11,850

Desired inventory, September 30    3,720    4,590       4,360         12,670

Work in process inventories:

Estimated inventory, September 1      $3,540

Direct materials used in production $183,250

Direct labor costs                              $201,050

Total factory overhead costs             $99,450

Desired inventory, September 30       (1,980)

Cost of goods manufactured           $485,310

Indirect factory wages $80,400

Depreciation of plant and equipment 10,550

Power and light 5,110

Indirect materials 3,390

Total 99,450

Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.

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Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating \(r_{0}, r_{1}, ..., r_{m}\) times

So the number of distincts ways the letters can be permutated is:

\(N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}\)

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

\(N = \frac{6!}{2!*2!} = 180\)

So the answer is 180.

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Step-by-step explanation:

4^3=4×4×4=64 is answer

Answer:

\(4^{3}\)

Step-by-step explanation:

Its in exponential form already the exponent is 3.

4 × 4 × 4 (standard form)

And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.

Suppose that the function is y = f(x)

If for an interval I, when x increases meanwhile staying in the interval I, the function's output decreases (or can stay same), then we say that the function is decreasing in the interval I.

This interval I was of values that x can take for this function, which is the domain of the considered function, so we say:

y = f(x) is decreasing function in an interval I if:

\(f(x+\delta) \leq f(x) \: \forall x \in I : x+\delta \in I\)

If we have:

\(f(x+\delta) < f(x) \: \forall x \in I : x+\delta \in I\), then the function is called strictly decreasing in the interval I.

Similarly, there increasing( \(f(x+\delta) \geq f(x) \: \forall x \in I : x+\delta \in I\) ) and strictly increasing(\(f(x+\delta) > f(x) \: \forall x \in I : x+\delta \in I\) ) functions.

For this case, the function is:

\(h(x) = \left \{ {{2^x, x < 1} \atop \: \atop {\sqrt{x+3}, x \geq 1}} \right.\)

The function is differentiable in either side of 1.

Sign of rate of function at a point tells whether its increasing or decreasing.

\(h'(x)= 2^x ln(2)\)
We know that:

\(2^x > 0 \: \rm \forlall x \in \mathbb R\)

And \(ln(2) \approx 0.69 > 0\)

Thus, \(h'(x)= 2^x ln(2) > 0 \: \forall x \in \mathbb R\)

So, rate is positive, the function is strictly increasing for this case.

\(h'(x) = \dfrac{1}{2\sqrt{(x+3)}}\)

For all x > 1, \(\sqrt{x+3} > 0\), and so as h'(x)

So rate is positive and therefore strictly increasing for this case too.

\(h(1+\delta) - h(1)= \sqrt{1+\delta + 3} - \sqrt{1+3} = \sqrt{4+\delta} - \sqrt{4} > 0 \forall \delta > 0\)

So rate of the considered function is positive,so function is strictly increasing all over the domain.

Thus, the interval of the domain of the considered function for which the function is decreasing is none. The function is strictly increasing: Option D: The function is increasing only.

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Answer:

Amadi: 20 years old

Chima : 4 years old

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:

D

Step-by-step explanation:

Answer:C and D

Step-by-step explanation:

7x^2-42x=0

First find the highest common factor of 7x^2 and 42x

7x^2=7 x X x X

42x=2 x 3 x 7 x X

Highest common factor is 7x

7x(x-6)=0

7x=0. or x-6=0

x=0. or x=6

Answer:7/25 × 5/24

Step-by-step explanation:

7 oatmeal 25 all together

Then 5 peanut butter 24 left since he ate one

The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.

Use the concept of probability defined as:

Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.

Given that,

Ethan buys a bag of cookies.

The bag contains different types of cookies:

chocolate chip, peanut butter, sugar, and oatmeal.

The quantities of each type of cookie in the bag are:

6 chocolate chip cookies

5 peanut butter cookies

7 sugar cookies

7 oatmeal cookies

To calculate the probability,

To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.

In this case,

Ethan has a total of,

6 + 5 + 7 + 7 = 25

So there is 25 cookies in the bag.

Since there are 7 oatmeal cookies in the bag.

So, the probability of randomly selecting an oatmeal cookie first = 7/25,

After eating the oatmeal cookie,

There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.

Therefore,

The probability of randomly selecting a peanut butter cookie second is 5/24

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Complete Question:

There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?

Answer:

Percentage = 56%

Step-by-step explanation:

Given the following data;

Total number of people = 750

Number of women = 420

To find the percentage of women;

First of all, we would determine the number of male spectators (men);

Number of men = Total number of people - Number of women

Number of men = 750 - 420

Number of men = 330

Next, we find the percentage of women;

\( Percentage = \frac {420}{750} * 100 \)

\( Percentage = \frac {42}{75} * 100 \)

\( Percentage = 0.56 * 100 \)

Percentage = 56%

Therefore, the percentage of the spectators that are women is 56%.

Answer:

50%

Step-by-step explanation:

Half of 3,000 is 1,500 so she would be paying half, or 50%

The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: The table containing data calories vs miles run.

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

      =295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clea,rly the ratios are different.

Hence, The table containing the data doesn't form a proportional relationship.

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The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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The new carpet will cοst $1,908.00.

The size οf a regiοn οn a surface is measured by its area. While surface area refers tο the area οf an οpen surface οr the bοundary οf a three-dimensiοnal οbject, the area οf a plane regiοn οr plane area refers tο the area οf a shape οr planar lamina.

Area can be interpreted as the quantity οf material with a particular thickness required tο create a mοdel οf the shape οr as the quantity οf paint required tο cοmpletely cοver a surface in a single cοat. It is the twο-dimensiοnal equivalent οf the vοlume οf a sοlid οr the length οf a curve (a οne-dimensiοnal cοncept) (a three-dimensiοnal cοncept).

The area οf the classrοοm is the square οf the length οf its side, which is:

6 yards × 6 yards = 36 square yardsTο find the cοst οf the new carpet, we need tο multiply the area οf the classrοοm by the cοst per square yard:

36 square yards × $53.00/square yard = $1,908.00

Therefοre, the new carpet will cοst $1,908.00.

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Explanation

We are asked to find the range of the function:

The graph of the function y=x is given as

Answer:

r = 80 KM/HR

w= 30 CM/HR

Step-by-step explanation:

The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.

Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.

We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:

Total cost = Production of tablets x Price per tablet

Number of tablets produced =\(2.5 × 10^7\)

Cost per tablet = $20

Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)

As a result, the corporation spends over $500 million annually producing tablets.

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◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\(\frac {2}{2} + \frac {3}{3}\)

\(1 + 1 \)

2

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\(\:\)

_________

\( \: \)

\( \frac{2}{2} + \frac{3}{3} = ...\)

\( = (2 \div 2) + (3 \div 3)\)

\( = 1 + 1\)

= 2

Answer:

104

Step-by-step explanation:

89x4=356 90x5=450

450=356=104

Answer:

94

Step-by-step explanation:

((89x4)+94) divided by 5 = 90

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Answer:

2, 4, 6, 8

Step-by-step explanation:

even numbers are numbers that can be equally split in half.

Example:

Answer:

9

Step-by-step explanation:

Answer:

61.4

Step-by-step explanation:

An expression is given :

(7 - 2.3)2 + 52

We need to find the value of the above expression.

Using Distributive property :

a(b+c) = ab + ac

(7 - 2.3)2 + 52 = 7(2) - 2.3(2) +52

= 14- 4.6 + 52

= 61.4

Hence. the value of the above expression is 61.4. No option is correct.

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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