Which fraction is less than 1 chose all of the correct answer, and explain why you chose and write it down and explain your answer. 7/6 5/6 3/4 2/3 6/4 5/3 explain why you got that answer.

Answer:

work is shown and pictured

Answer:

$10.8

Step-by-step explanation:

First, to determine the price of one cake divide 6.30/7

You will determine one cake costs 90 cents.

So, multiply 0.90 by 12, and you get $10.8

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

The gradient of the line y = x/3 - 4 is; 1/3

Slope is defined as the gradient of a graph at any point

We are given the equation of the line as;

y = x/3 - 4

Now, the formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, from the given equation, we can tell that the gradient which is the slope is 1/3.

Thus, we conclude that the gradient of the line y = x/3 - 4 is; 1/3

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Explanation:

Imagine drawing a circle and splitting it into 3 equal slices. Repeat this process to get 12 identical such circles. We have 12*3 = 36 slices so far.

Then add a 13th circle that has 2 of the 3 slices shaded, to represent 2/3. So we add 2 extra slices to the 36 original to get 36+2 = 38 total slices.

Each slice represents 1/3 of a cup. So each full circle represents 1 full cup.

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

Another approach:

Let's convert the mixed number 12 & 2/3 into an improper fraction

We use the formula

a & b/c = (a*c+b)/c

So,

12 & 2/3 = (12*3+2)/3 = (36+2)/3 = 38/3

Then rewrite the 38/3 as 38*(1/3) to show we have 38 copies of the 1/3 cup.

Answer: 38 cups

Step-by-step explanation:

       We will divide 12 2/3 cups by our measurement, 1/3 cup, to find how many 1/3 cups will be needed.

(12 + 2/3) / (1/3) = 38 cups

enter the correct letters in the boxes on the left with the negative statements on the right

E    Apples make good pies      A  seven is not a prime number

F    the sun is hot today             B   a line does not contain at least two points

D    3+2=7                                   C a right angle does not measure < 90degre

C    a right angle measure < 90  D  3+2[tex]\neq[/tex]7

 A  seven is a prime number       E apples does not make good pies

 B   a line contain at least two points   F  the sun is not hot today

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The salaries of each will be 127975 and 182875.

Lat the salaries of B = b

Let the salary of A = b + 54900

Therefore, we will add them together to get the value:

b + b + 54900 = 310850

2b + 54900 = 310850

2b = 310850 - 54900

2b = 255950

b = 255950/2

b = 127975

a = b + 54900 = 127975 + 54900 = 182875

Therefore, the salaries of each will be 127975 and 182875.

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The correct option is C) 24 and 28 for the given multiplication table.

The given multiplication are-

This is the table 5 starting with;

5×3 = 15 ....... 5×6 = 30

This is the table of 6 starting with;

6×3 = 18 ....... 6×6 = 36

Thus, the missing number is;

6×4 = 24

This is the table 7 starting with;

7×3 = 21 ....... 7×6 = 42

Thus, the missing number is;

7×4 = 28

This is the table of 8 starting with;

8×3 = 28 ....... 8×6 = 48

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The correct question is-

Part of a multiplication table is shown.

15 20 25 30

18 __ 30 36

21 __ 35 42

24 32 40 48

What two numbers are needed to complete the pattern in

the multiplication table?

OA) 21 and 24

OB) 24 and 24

OC) 24 and 28

OD) 21 and 28

Answer: x ≤ 0. Interval Notation: (-∞, 0]

Due to length restrictions, we kindly invite to check the explanation of this question for further details on equations.

In this problem we find equations that have got to be cleared with respect to a given variable, this can be done by taking advantage of algebra properties:

14) b / c = a → c = b / a

15) k = a - y → y = a - k

16) d · f · g = h → f = h / (d · g)

17) 2 · x + 3 · y = 12 → 3 · y = 12 - 2 · x → y = 4 - (2 / 3) · x

18) 2 · n = 4 · x + 2 · y → n = 2 · x + y

19) a · b · c = 1 / 2 → b = 1 / (2 · a · c)

20) y = 3 / (5 · u) + 5 → y - 5 = 3 / (5 · u) → 5 · u = 3 / (y - 5) → 3 / [5 · (y - 5)]

21) 8 · (x - a) = 2 · (2 · a - x) → 8 · x - 8 · a = 4 · a - 2 · x → 10 · x = 12 · a → x = (6 / 5) · a

22) 12 · (m + 3 · x) = 18 · (x - 3 · m) → 12 · m + 36 · x = 18 · x - 54 · m → 66 · m = - 18 · x → m = - (3 / 11) · x

23) V = (π / 3) · r² · h → h = [3 · V / (π · r²)]

24) V = (π / 3) · r² · (h - 1) → h - 1 = [3 · V / (π · r²)] → h = 1 + [3 · V / (π · r²)]

25) y · (a - b) = c · (y + a) → a · y - b · y = c · y + a · c → (a - b - c) · y = a · c → y = (a · c) / (a - b - c)

26) x = [3 · (y - b)] / m → (m · x) / 3 = y - b → y = b + (m · x) / 3

27) F = - (G · m) / r² → G = - (F · r²) / m

28) The area formula of the baking sheet is l · w = 117.

29) The temperature formula is T = (7 / 30) · n + 40.

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Answer:

b= p-(a+c)

Step-by-step explanation:

Step-by-step explanation:

all real numbers greater than our equal to -1.

as the parabola function is y = something in x², the parabola opens up either up or down.

if the function would have been x = something in y², the parabola would open left or right.

but our parabola here opens therefore up and down.

the vertex is therefore the maximum or minimum of the parabola. y does not get larger or smaller than the y value of the vertex.

as we see that the curve goes through points with y value 0 (which is clearly larger than -1), it means the vertex is a minimum, and the parabola opens up.

therefore the answer at the beginning. any y value of the function can only be greater than or equal to -1.

The height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The length of Manny's shadow, which is 414 feet long, is 512 feet.

The tree's shadow extends 17 feet.

Here, we'll assume that the height is x.

According to the data given, the calculation is as follows:

414 : 512 = 17 : x

⇒ 414 / 512 = 17 / x

⇒ (414)x = (512)(17)

⇒ x = (512)(17)/(414)

⇒ x =21.02

⇒ x = 21 feet

Therefore, the height of the tree is 21 feet if manny stands 512 feet tall, and his shadow is 414 feet long. The tree's shadow extends 17 feet in length.

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Your question is incomplete, probably the complete question is:

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head. Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?

The solution to the system of equation is (2, 7)

Given the  system of equation expressed as:

3x – y = -1  * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

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1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.

3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

2a. Direct material cost per unit is $7.30.

2a. Direct labor cost per unit is $4.30.

2a. The Variable manufacturing overhead per unit is $1.80.

2a. The Fixed manufacturing overhead per unit is $5.30.

2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)

2a. The number of units produced and sold is 14,000 units.

2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).

2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).

Relevant production range = 12,000 to 16,000 units

Production and sales units = 14,000 units

                                                  Average Cost

                                                       per Unit

Direct materials                                $ 7.30

Direct labor                                      $ 4.30

Variable manufacturing overhead  $ 1.80

Direct cost per unit                         $13.40

Fixed manufacturing overhead     $ 5.30

Total manufacturing cost per unit $18.70

Fixed selling expense                   $ 3.80    $53,200 ($3.80 x 14,000)

Fixed administrative expense      $ 2.80     $39,200 ($2.80 x 14,000)

Total fixed costs per unit               $6.60     $92,400 ($6.60 x 14,000)

Variable selling and admin:

Sales commissions                        $ 1.30

Variable administrative expense $ 0.80

Total variable selling and admin per unit = $2.10

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).

3) Fixed selling expenses =  $53,200 ($3.80 x 14,000)

Advertising expenses = $39,200

Sales Compensation = $14,000 ($53,200 - $39,200)

Sales Commission = $18,200 ($1.30 x 14,000)

Total Salespersons' compensation = $32,200

a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

2a. Direct material cost per unit is $7.30.

2a. Direct labor cost per unit is $4.30.

2a. The Variable manufacturing overhead per unit is $1.80.

2a. The Fixed manufacturing overhead per unit is $5.30.

2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)

2a. The number of units produced and sold is 14,000 units.

2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).

2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).

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Answer:

numeric

Step-by-step explanation:

The interval on a number line (-∞, -6)​ using set-builder notation is;

{ x | x ∈ R, x ≤ -6 }

Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.

Real numbers (R) include all rational and irrational numbers. Thus, If we need to write the interval on a number line (-∞, -6)​ using set-builder notation, we will write as:

{ x | x ∈ R, x ≤ -6 }

In words : "x such that x belongs to R, x is less than or equal to -6"

This shows that x is any real number less than or equal to -6

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Answer: 19.6

Step-by-step explanation:

Answer:

0+26=26, 26+0=26

Step-by-step explanation:

When you add 0 to a number and get the same number, that's the Identity Property of Addition.

The typical average price of gasoline should be $2.81 and not $2.69 because $2.69  is not the average of the sampled prices.

We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.

Thus, to calculate the mean, we will use the formula;

Mean = ∑x/n

Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5

Mean = 14.05/5

Mean = $2.81

Thus, the typical average price of gasoline should be $2.81 and not $2.69

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The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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Both the diagrams; figure STUV and its image, figure WXUY are congruent to each other.

For the given two diagrams;

WXUY image to mirror STUV

If we rotate the STUV anticlockwise so that side UV coincides with side UY, then side ST≅ WX side TU ≅ side XU, side  UY≅ side UV, side  YW≅ side VS will be equal, as will angle  S≅W, TUV≅XUV, X≅T, and Y≅V will be equal.

Therefore, the side corresponds to the area side ST≅ WX side of TU ≅ side XU, side UY≅ side UV, side YW≅ side VS, and the angle S≅W, TUV≅XUV, X≅T, and Y≅V".

Thus, the given two diagram figure STUV and image, figure WXUY are congruent to each other.

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Answer:

´the set of all values for which the function is defined´

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Answer: 28 units

Step-by-step explanation:

A=area of parallelogram. h=height. b=base

A=h*b

7=1/4 *b

(7=1/4 *b)*4    ==>Multiply both sides by 4 to get rid of fractions

28=b

b=28 units

Let's say that the Kalamazoo Brewing Company (KBC) now distributes its microbrews across a region that includes seven states: Illinois, Indiana, Michigan, Minnesota, Mississippi, Ohio, and Wisconsin. Data from the company's distributors in each state has been gathered by the data analytics division. This information includes the volume and cost of microbrews (per case) sold in each state as well as the average annual income (in thousands of dollars) of customers residing in various states' areas. Please notice that there are several tabs at the bottom of the spreadsheet, each of which corresponds to one of the seven states where the microbrews of the Kalamazoo Brewing Company are sold. The statistics for each state are available via the link below. Data File in Excel Using the supposition that the fundamental demand relationship is a linear function of price and income, utilize

With your spreadsheet application, you may predict Ohio's demand for KBC microbrews using least squares.

Ohio's demand for KBC microbrews is estimated using least squares as follows: Price + Income = 1.57 times the quantity.

Note: Sheet1 of the attached Excel document has a replication of the data from the question, and Sheet2 contains the results of the regression analysis.

Rounding to two decimal places, we find the following coefficients in the second column of the third table in Sheet2:

Price: $1.57 Profit: $15.00

Because a zero intercept was used for the analysis, the intercept is zero.

Based on the information above, the following is how the least squares estimations of Ohio's demand for KBC microbrews may be expressed:

Quantity = Price + Income + 1.57

To do the regression starting with Sheet1 to acquire

the results in Sheet, then replicate his steps:

Select the "Data Analysis" tab from the "Data" menu. Scroll down in the new window to "Regression," select it, then click "OK."

Select the column holding the Quantity data as the dependent variable by clicking in the "Input Y Range" box in the new window. Select the column holding the Price and Income data as the independent variables by clicking on the "Input X Range" box in the new window. Add "Labels," "Confidence level (95%)," and "Constant is Zero" to your selections. After that, click "OK" to get the results in Sheet2.

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The value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

For any function, say f(x) = x + a, the value of f(x+b) = (x + b) + a or (x + b + a)

Here, we are given that

f(x) = x−6x^2

and we need to find the value of (f(x + h) − f(x))/h

Firstly,

f(x + h) = (x+h) - 6(x+h)^2

Now, f(x + h) − f(x) = (x+h) - 6(x+h)^2 - (x−6x^2)

= (x+h) - 6(x+h)^2 - x + 6x^2

= x - x + h - 6(x^2 + h^2 + 2xh) + 6x^2

= h - 6x^2 - 6h^2 - 12xh + 6x^2

=  h - 6x^2  + 6x^2 - 6h^2 - 12xh

= h - 6h^2 - 12xh

= h( 1- 6h - 12x)

Thus, (f(x + h) − f(x))/h = [h( 1- 6h - 12x)] / h

= 1 - 6h - 12x

Therefore, the value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

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Proportionately, the number of milligrams of Medication A that should be mixed this week with 140 milligrams of Medication B is 100 milligrams.

Proportions are the ratios of variables to others.

Proportions show the number or value relationships of two variables.

Decimals, percentages, and fractions can represent proportions.

The mixture of Medication A and B last week:

Medication A = 130 milligrams

Medication B = 182 milligrams

The proportion of Medication A to Medication B = 0.714287

The mixture of Medication A and B this week:

Medication B = 140 milligrams

Medication A = x

x = 140 x 0.714287

x = 100 milligrams

Thus, using equivalent proportions, 140 milligrams of Medication B should be mixed with 100 milligrams of Medication A.

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Answer:

23000

Step-by-step explanation:

(2 x 10⁴) + (3 x 10³)

= (2 x 10000) + (3 x 1000)

= 20000 + 3000

= 23000

An equation that relates the number of bags, x, to the cost, y is y = 5x.

An equation is a mathematical statement that claims that the two sides are equal.

An equation involves two or more variables that require some mathematical operations to obtain their equivalent value.

Therefore, an equation contains numbers, variables, and operators, which show a value after the mathematical operations.

Let the number of bags for the class = x (number of students)

Let the unit cost of a bag = $5

Let y = the total cost

Equation, y = 5x

Thus, an equation that relates the number of bags, x, to the cost, y is y = 5x.

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