7n - 4 = 31

Solve for n

Answer:

A

Step-by-step explanation:

Here, we want to select which of the graph represents a cubic equation

Graphs B and C looks parabolic and thus, they probably will represent a quadratic equation

Graph D represents a straight line equation

Graph A represents a cubic function due to its shape

So our answer is graph A only

Answer:

a

Step-by-step explanation:

The knowledge of place value helped in solving 273÷13 with a rectangular model developed by Carter

The part labelled A is 26 tens

The part labelled B is 13 units

The part labelled C is 13 ones

information given in the question

A rectangle is divided into two sections by a vertical line

The left section is labeled inside with 260

The left edge of the rectangle is labeled 13

other information is in the attached diagram

How to used the model

Carter's model is a rectangle of length 273 and breadth 13.

273 / 13 = 21

This means that dividing the length into 13 places each unit is 13

273 - 13 = 260

hence the 260 represents 20 units, since one unit is subtracted

The knowledge of place value help to get the numbers to be arranged in tens and ones

putting the numbers in tens is done by dividing by 10

= 260 / 10

= 26

hence, A in tens is equivalent to 26

putting the numbers in ones is dine by dividing by 1

C = 13 / 1

C = 13 ones

a unit is 13, B = 13

B covers same space as C so they are equal

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The journal entries for the given transactions are:

1. Direct Labor Expense (Debit) - $101,000, Indirect Labor Expense (Debit) - $11,000, Cash (Credit) - $112,000

2. Depreciation Expense (Debit) - $175,000, Accumulated Depreciation (Credit) - $175,000

3. Work-in-Process Inventory (Debit) - $240,000, Manufacturing Overhead (Credit) - $240,000

4. Finished Goods Inventory (Debit) - $520,000, Work-in-Process Inventory (Credit) - $520,000

Step 1: Debit the direct labor and indirect labor accounts.

Direct Labor Expense: Debit $101,000

Indirect Labor Expense: Debit $11,000 (112,000 - 101,000)

Step 2: Credit the cash account.

Cash: Credit $112,000

The journal entry would be:

Direct Labor Expense (Debit) - $101,000

Indirect Labor Expense (Debit) - $11,000

Cash (Credit) - $112,000

Step 1: Debit the depreciation expense account.

Depreciation Expense: Debit $175,000

Step 2: Credit the accumulated depreciation account.

Accumulated Depreciation: Credit $175,000

The journal entry would be:

Depreciation Expense (Debit) - $175,000

Accumulated Depreciation (Credit) - $175,000

Step 1: Calculate the total manufacturing overhead.

Total Manufacturing Overhead = $8 per machine-hour * 30,000 machine-hours = $240,000

Step 2: Debit the work-in-process inventory account.

Work-in-Process Inventory: Debit $240,000

Step 3: Credit the manufacturing overhead account.

Manufacturing Overhead: Credit $240,000

The journal entry would be:

Work-in-Process Inventory (Debit) - $240,000

Manufacturing Overhead (Credit) - $240,000

Step 1: Debit the finished goods inventory account.

Finished Goods Inventory: Debit $520,000

Step 2: Credit the work-in-process inventory account.

Work-in-Process Inventory: Credit $520,000

The journal entry would be:

Finished Goods Inventory (Debit) - $520,000

Work-in-Process Inventory (Credit) - $520,000

Note: The question is incomplete. The complete question probably is: Determine the journal entry (debit and credit) for the following transaction: 1. Total labor wages of $112,000 were paid in cash. Of this amount, $101,000 was for direct labor and the remainder was for indirect labor. 2. Depreciation of $175,000 was incurred on factory equipment. 3. A company applies manufacturing overhead cost to production on the basis of $8 per machine-hour. A total of 30,000 machine-hours were recorded for October. 4. Jobs costing $520,000 according to their job cost sheets were completed during October and transferred to Finished Goods.

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Answer:

2nd

Step-by-step explanatiogjhkghjkgjhn:gyj

no idea how to expain

The respective values of x after solving the given equalities are 2.5, -0.5, 9/8 and 1/2.

1. a) -3(x + 2) - 1 = 1 + 2(1 - 2x)

Expanding the left-hand side: -3x - 9 - 1 = 1 + 2 - 4x

Expanding the right-hand side: -3x - 9 - 1 = 1 - 4x

Solving for x: -4x = -10

x = 2.5

b) (3 - 2x)/4 = 1 - 3z

Multiplying both sides by 4: 3 - 2x = 4 - 12z

Adding 2x to both sides: 3 = 2x + 4 - 12z

Adding 12z to both sides: 3 = 2x + 4

Subtracting 4 from both sides: -1 = 2x

Dividing both sides by 2: -0.5 = x

c) (2x -1)/ 5 = (3 - 2x)/3

Cross multiplying: 3(2x - 1) = 5(3 - 2x)

Expanding the left-hand side: 6x - 3 = 15 - 10x

Expanding the right-hand side: 6x - 3 = 15 - 10x

Solving for x: 16x = 18

x = 9/8

d) 3x - 2x = 1 - x

Combining like terms on the left-hand side: x = 1 - x

Solving for x: 2x = 1

x = 1/2

2. a) {1, 2, 3, ...} is set of positive integers

b) {-2, -1, 0, 1, 2, ...} is set of integers

c) {a/b | a, b E Z; b =/ 0} is set of rational numbers.

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Answer:

f=20

Step-by-step explanation:

f-17/1 =-3

-(f-17)=-3

-f=-3-17

-f=-20

f=20

Answer:

if the question is what is the are of the circle without the rectangle inside it, then we could solve it easily using the Mathematical formula for A Circle's area which is

\(\pi {r}^{2} \)

since a radius is half a diameter, and the diameter is 8cm, the radius becomes 4 cm

Step-by-step explanation:

π×4^2

3.14×16

50.24

Answer:

$-4

Step-by-step explanation:

Your welcome

Answer:

$50

Step-by-step explanation:

So the best thing is to com eup with an equation. I came up with:

150 + 27 - 96 - 31

Deposit means to put money into, so that's why we're adding 27.

And then the checks mean that they are going to be taken out of, so that's why we're subtracting 96 and 31. All that's left to do now is solve.

150 + 27 = 177 - 96 = 81 - 31 = 50

The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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Answer:

Ok:

Step-by-step explanation:

Domain: {x| x ϵ ℝ}

Range: {y| y ≤ 3}

ϵ - means 'belongs to the set of'

and ℝ means 'all real numbers'

What it mens is that x is defined at every x value.

Answer:

not sure if it's a or b but I think it's a

Answer:

2

Step-by-step explanation:

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

1/3 times area of base times height

1/3 x (11x7) x 8

1/3 x 77 x 8

Answer is approximately 205.3

Answer:

I filled out the PDF to make it easy hope this helps

Step-by-step explanation:

let me know if you need help understanding how I did things.

The probability of getting exactly 2 tails in 7 flips of a coin with a probability of tails being 3/4 is 189/16384 or approximately 0.0115.

We can use the binomial distribution formula to solve this problem. Let X be the number of tails that come up in 7 flips of the coin. Then X follows a binomial distribution with n = 7 and p = 3/4 (since the probability of tails is 3/4).

The probability of getting exactly 2 tails is given by:

P(X = 2) = (7 choose 2) * (3/4)^2 * (1/4)^5

= (21 * 9/16 * 1/1024)

= 189/16384

So the probability that George flips exactly 2 tails is 189/16384, or approximately 0.0115.

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Answer:

The correct option is option A

A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix

Step-by-step explanation:

The matrix in echelon form is not in a unique form, as such row reduction can yield an infinite amount of answers. However a row reduced echelon form is unique and will give the same answer in every order that the row operation is performed

The statement is false. Each matrix has only one unique row echelon form, therefore, the correct option is option A.

The slope and y-intercept of the line given by y = 4x + 9 The slope and y-intercept of the line given by y = 4x + 9 A line in the Cartesian coordinate plane is an equation in two variables, x and y, which we can graph on the Cartesian plane.

The slope-intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept of the line given as y = 4x + 9 We can rewrite it in slope-intercept form as: y = 4x + 9, The slope of the line is 4, and the y-intercept of the line is 9.

m = 4 and

b = 9 respectively.

Where m is the slope of the line and b is the y-intercept of the line given as y = 4x + 9 We can rewrite it in slope-intercept form as y = 4x + 9, The slope of the line is 4, and the y-intercept of the line is 9. Therefore, the slope and y-intercept of the line given by y = 4x + 9

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Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

The completely factored form of the quadratic expression 3x²- 30x - 72 is (x - 4)(3x + 6).

To find the completely factored form of the quadratic expression 3x² - 30x - 72, we can use the factoring method.

Look for the common factor (if any) among the coefficients of the quadratic expression. In this case, there is no common factor among 3, -30, and -72.

We need to find two numbers whose product is -72 (the constant term) and whose sum is -30 (the coefficient of the linear term). The two numbers are -12 and 6.

Rewrite the middle term -30x as the sum of -12x and 6x:
3x² - 12x + 6x - 72

Group the terms:
(3x² - 12x) + (6x - 72)

Factor out the common factor from each group:
3x(x - 4) + 6(x - 4)

Notice that we now have a common binomial factor of (x - 4):
(x - 4)(3x + 6)

Therefore, the completely factored form of the quadratic expression 3x² - 30x - 72 is (x - 4)(3x + 6).

The completely factored form of the quadratic expression 3x^2 - 30x - 72 is (x - 4)(3x + 6). To find this form, we used the factoring method, which involves finding two numbers whose product is equal to the constant term (-72 in this case) and whose sum is equal to the coefficient of the linear term (-30 in this case).

By rewriting the middle term as the sum of two terms and grouping them, we were able to factor out the common factors. In this case, the common binomial factor was (x - 4). Once we factored out this common factor, we were left with (3x + 6). Therefore, the completely factored form of the quadratic expression 3x² - 30x - 72 is (x - 4)(3x + 6).

The completely factored form of the quadratic expression 3x² - 30x - 72 is (x - 4)(3x + 6).

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The new width is 6.5 inches

The dimension is given as:

8.5 in x 11 in

When the smaller length is decreased, we have:

8.5 in x 11 in = 5 in x Longer length

Express as ratio

8.5 in : 11 in = 5 in : Longer length

Express as fraction

8.5 in/11 in = 5 in/Longer length

This gives

Longer length = 5 in * 11 in/8.5 in

Evaluate

Longer length = 6.5 inches

Hence, the new width is 6.5 inches

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The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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First, we need to count the number of boxes that we have in a layer

We can count the number of boxes fast

we count the number of boxes of the length (boxes with a red point) the length is equal to 6

then we count the number of boxes of the width (boxes with a blue point) the width is equal to 6

then we do the next operation

number of boxes = (l)x(w)=6x6=36

In total 36 boxes in one layer

We know that the volume of each box is 1 cubic foot therefore the volume of one layer, is 36 cubic foot

In order to know the volume of 8 layers (volume of the container), we need to multiply 36 cubic ft (volume of one layer) by 8

The volume of the container is

The answer is B

The length of the legs of the right triangle are the ones in option D;

4.9 units, 14.2 units

Here we have a right triangle with one interior angle that measures 19°, and the hypotenuse measures 15 units.

To find the measures of the legs we can use trigonometric relations; we will get the measures of the two legs.

cos(19°) = x/15 ----> x = cos(19°)*15 = 14.2 units.

sin(19°) = y/15 ----> y = sin(19°)*15 =  4.9  units

Then the correct option will be D, these are the two lenghts of the legs of the right triangle.

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Answer:

$7.47

Step-by-step explanation:

Take the number of pounds and multiply by the price per pound

3 * 2.49

7.47 for 3 pounds of apples

Answer:

7.49

Step-by-step explanation:

Given: 3 pounds, and 2.49 for each pound

Multiply:

2.49 × 3

 ₁   ₂    

 2.49

×      3

----------

 7. 47

Mrs. Ella bought 3 pounds of apples for $7.49

Answer:

D. 1

Step-by-step explanation:

If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.

Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).

The difference of the y-coordinates is:

3 - 0 = 3

The difference of the x-coordinates is:

1 - (-2) = 3

Dividing these gives:

3/3 = 1

The slope is thus 1, and the answer is D.

~ an aesthetics lover

Answer:

y=-4/3x-60

Step-by-step explanation:

Answer:

y=-4/3x-60

Step-by-step explanation:

The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3

The number of positive integers n ≤ 1000 that can be expressed in the form [x] [2x] [3x] is 31.

To find the number of positive integers n that satisfy this condition, we need to count the number of values of x that give us distinct values for [x], [2x], and [3x].

Let's break it down into cases:

Case 1: 0 ≤ x < 1
In this case, [x] = 0, [2x] = 0, and [3x] = 0. So, there are no positive integers n that satisfy the condition in this range.

Case 2: 1 ≤ x < 2
In this case, [x] = 1, [2x] = 2, and [3x] = 3. So, there is one positive integer n = 1 that satisfies the condition in this range.

Case 3: 2 ≤ x < 3
In this case, [x] = 2, [2x] = 4, and [3x] = 6. So, there is one positive integer n = 2 that satisfies the condition in this range.

Case 4: 3 ≤ x < 4
In this case, [x] = 3, [2x] = 6, and [3x] = 9. So, there is one positive integer n = 3 that satisfies the condition in this range.

Case 5: 4 ≤ x < 5
In this case, [x] = 4, [2x] = 8, and [3x] = 12. So, there is one positive integer n = 4 that satisfies the condition in this range.

Case 6: 5 ≤ x < 6
In this case, [x] = 5, [2x] = 10, and [3x] = 15. So, there is one positive integer n = 5 that satisfies the condition in this range.

Case 7: 6 ≤ x < 7
In this case, [x] = 6, [2x] = 12, and [3x] = 18. So, there is one positive integer n = 6 that satisfies the condition in this range.

Case 8: 7 ≤ x < 8
In this case, [x] = 7, [2x] = 14, and [3x] = 21. So, there is one positive integer n = 7 that satisfies the condition in this range.

Case 9: 8 ≤ x < 9
In this case, [x] = 8, [2x] = 16, and [3x] = 24. So, there is one positive integer n = 8 that satisfies the condition in this range.

Case 10: 9 ≤ x < 10
In this case, [x] = 9, [2x] = 18, and [3x] = 27. So, there is one positive integer n = 9 that satisfies the condition in this range.

Case 11: 10 ≤ x < 11
In this case, [x] = 10, [2x] = 20, and [3x] = 30. So, there is one positive integer n = 10 that satisfies the condition in this range.

We can continue this process until 31 ≤ x < 32. At this point, [x] = 31, [2x] = 62, and [3x] = 93, which exceeds 1000.

Therefore, there are 31 positive integers n ≤ 1000 that can be expressed in the form [x] [2x] [3x].

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