Factor 64+ 60. Write your answer in the form a(b + c) where a is the GCF of 64 and 60

Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .

In the question ,

it is given that

At Latrina's wedding

number of  hors d’oeuvres offering that 3 people will get = 8 offering

So, the number of offering of hors d’oeuvres that 1 person will get = 8/3  .

we need to find that

how many hors d’oeuvres will she serve for 240 people .

So ,

the number of  hors d’oeuvres offering that 240 people will get =(8/3)×240

= 8 × 80

= 640

Therefore , Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding  .

The given question is incomplete , the complete question is

Latrina is planning to serve hors d’oeuvres at her wedding. She plans on offering 8 hors d’oeuvres for every 3 people. If she has invited 240 people to the wedding, how many hors d’oeuvres will she serve?

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1. The completion of the inventory table is as follows:

                                   Units  Unit Cost    Total Cost

Jan. 1  Beg. Inventory     8       $6.00                 $48

Apr. 11 Purchases         24       $11.00              $264

May 17 Purchases        30      $14.00              $420

Dec. 5 Purchases         19      $16.00              $304

2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO         Weighted-Average

Ending inventory          $704          $845                $767.40

Cost of goods sold       $332          $191                $268.60

FIFO (First-in, First-out) is based on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $704 ($48 + $264 + 28 x $14)

Cost of goods sold = $332 ($1,036 - $704)

FIFO:

Ending inventory = $845 (11 x $11 + 30 x $14 + 19 x $16)

Cost of goods sold = $191 ($1,036 - $845)

Weighted Average:

Ending inventory = $767.40 (60 x $12.79)

Cost of goods sold = $268.60 (21 x $12.79)

                                   Units  Unit Cost    Total Cost

Beg. Inventory Jan. 1     8       $6.00                 $48

Apr. 11 Purchases         24      $11.00              $264

May 17 Purchases        30     $14.00              $420

Dec. 5 Purchases         19     $16.00              $304

Total                              81                           $1,036

Units sold                      21

Ending inventory         60

Average cost per unit = $12.79 ($1,036/81)

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By division, the following results are obtained

[tex]2 \div 7756\\[/tex] = 0.0025

[tex]77.56 \div 0.2 = 387.8[/tex]

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

The quotients of the two divisions are shown below-

[tex]2 \div 7756\\[/tex] = 0.0025

[tex]77.56 \div 0.2\\7756 \div 20 \\387.8[/tex]

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The expression that Langston have written -24 +3.

Expression:

Expression refers the finite combination of symbols that is well-formed according to rules that depend on the context and it consists of numbers, mathematical operations etc.

Given,

Langston wrote an expression with a value of -21.

Here we need to find the expression that could Langston have written.

In order to find the correct expression we have to solve each and every one in the options,

When we take the first expression

-20 - (-1)

Which is equal to

=> -20 + 1

When we simplify it then we get

=> -19

Then the second one is simplified as,

=> -25 - 4 = -29

And the third one given the value of

=> -24 + 3

=> -21

Therefore, this one is the correct expression and this one is taken by Langston.

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As per the system of linear equations concept, the solution of x is -1.282

Linear equations:

Linear equation is referred as the algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

Given,

Here we have the equations -4x - 1 = 5ˣ + 4

Now, we need to find the value of x by using the graph.

In order to plot the graph for the given linear equation,

First, we have to split the equation into two,

Like the following:

y = -4x - 1

y = 5ˣ + 4

Now, we plot the graph of both equations

Then we get the graph like the following.

Where the red line represents the equation y = -4x - 1 and the green line represents the equation y = 5ˣ + 4.

While we looking into the graph, we have identified the solution is,

x = -1.282

Therefore, the solution of x is -1.282

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Answer:

what are the given ratio?

Step-by-step explanation:

Answer: i am not positive but i think 2.5 on x and 9, and 27 on y

Step-by-step explanation: just want to help asap

The highlighted point is (9, -7) . A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.

A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.

If the picture is the point (-7, -9)

Detailed explanation:

When the point (x, y) rotates 90 degrees counterclockwise with respect to the origin, its image is (-y, x)

When the point (x, y) rotates 180 degrees counterclockwise around the origin, its image is (-x, -y)

The picture of the point (x, y) if it were rotated 270 degrees counterclockwise with respect to the origin is (y, -x)

The highlighted point is (9, -7)

∴ x = 9 and y = -7

The provided point is turned 270 degrees counterclockwise with respect to the origin.

Utilizing the third rule listed above

The illustration of the point is (y, -x)

That is to say, alter the x-sign coordinate's before switching them.

∵ x = 9 and y = -7

The illustration if the point is (-7,-9).

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Using the simplification, the value of u is 13/15.

In the given question we have to find the value of u.

The given expression is -1/2u+3/5=1/6

Simplifying the given expression to find the value of u.

-1/2u+3/5=1/6

Subtract 3/5 on both side, we get

-1/2u=1/6-3/5

Now equal the denominator to simplify

-1/2u=1/6 *30-3/5 *30

-1/2 *30u=5-3*6

-15u=5-18

-15u= -13

Divide by -15 on both side, we get

u = 13/15

Hence, the value of u is 13/15.

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[tex] = ( \sin(180 + 45) )^{2} - ( \cos(180 + 90) )^{2} + ( \frac{ \sqrt{3} }{1} )^{2} \\ = ( - \sin(45) )^{2} - ( - \cos(90) )^{2} + 3 \\ = ( - \frac{1}{ \sqrt{2} } ) ^{2} - ( \frac{0}{1})^{2} + 3 \\ = \frac{1}{2} - 0 + 3 \\ = \frac{1}{2} + 3 \\ = \frac{7}{2} [/tex]

ATTACHED IS THE SOLUTION

The completed table of the two column method to prove DE = FD is presented as follows;

Statement [tex]{}[/tex]                             Reason

1. CE = CD + DE[tex]{}[/tex]                    Segment addition postulate

2. FG = FD + DG              [tex]{}[/tex]     Segment addition postulate

3. CE = FG              [tex]{}[/tex]               Given

4. CD + DE = FD + DG      [tex]{}[/tex]    Substitution property of equality

5. CD = DG              [tex]{}[/tex]              Given

6. DG + DE = FD + DG    [tex]{}[/tex]      Substitution property of equality

7. DE = FD               [tex]{}[/tex]              Subtraction property of equality

A two column method consists a number of statements alongside the reasons that are known to make the statements true.

The segment addition postulate state that a point B is located on a segment AC if and only if AB + BC = AC, therefore;

The substitution property of equality states that if a = b, and a + c = d, then b + c = d

Which gives;

Similarly; CD = DG, then DG + DE = FD + DG

The subtraction (and addition) property of equality states that a quantity of known value can be subtracted (or added) to both sides of an equation and both sides of the equation remains equal.

Mathematically, if x = y, then x - z = y - z, therefore;

Then;

∴ DE = FD

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The required value of the land after 20 years is $53,163.95.

Given that,
A piece of land was purchased for $65,000. The value of the land has slowly been decreasing by 1% annually, the land worth in 20 years is to be determined.

Here,
As the function decreases by 1% annually,
The expression for the decrease,
y = 65000(1-0.01)ˣ
y = 65000(0.99)ˣ
Put x = 20
y = 65000(0.99)²⁰
y = $53,163

Thus, the required value of the land after 20 years is $53,163.95.

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Answers

The primary difference explained in capitalism vs communism is that capitalism is an economic system that allows private ownership and promotes the idea of a free market; in contrast, communism favours collective ownership and restricts the free market with government intervention portraying a planned economy.

Explanation

What is Capitalism?

Capitalism occurs when people are allowed to own and control capital assets, use them according to their self-interest, and earn profit by producing valued goods and services utilizing capital resources. In a capitalist economy, government intervention will be minimal; hence, the production of goods and services is driven by supply and demand. It creates an environment that promotes individualism, innovations, competition, efficient allocation of resources, the efficiency of the private sector, presenting consumers with better choices, and improving living standards. capitalism vs communism.

On the other hand, capitalism is often blamed for favouring the rich. The opponents of the system advocate that in capitalism, the rich get richer and the poor get poorer instigating the unequal distribution of wealth and inequality, creating social division. Moreover, in the wake of producing profit, the capitalist model exploits the workers, and unfair competition can also lead to the emergence of monopolies in specific sections. All these disadvantages communicate the need for the reformation of capitalism.

What is Communism?

Communism ideology aims to establish common ownership and eliminate the private property concept. It simply focuses on replacing private ownership and introducing state-owned organizations, projects, resources, and properties, ensuring economic equality and fairness. Such economies work towards achieving social development, welfare, and the overall development of all the citizens of a nation.

China has long been a significant example of a communist government where the government-controlled major resources, funds, products, and services, but later due to globalization and certain other aspects, has started implementing some elements of capitalism to grow business and take advantage of trade opportunities. Similarly, it has been observed that many nations turn their heads toward capitalism to obtain more opportunities, attain industrialization, and reap the benefits of globalization hence strengthening the capitalism vs communism debate.

Capitalism and communism are inherently contrasting concepts. While capitalism propagates individualism, communism is associated with collectivism. Industrial capitalism was popularised in the 18th century, and modern communism was propagated in the 19th century.

The instances reflecting the conflict based on these ideologies were prevalent from the old times. For example, ideological conflict, and capitalism vs. communism in the Cold War of the 20th century. During the Cold War, the United States and Western European nations were based on capitalism and democracy. In contrast, the Soviet Union was based on communism and dictatorship, and Eastern European nations were under Soviet communist control. Many of the significant events in the Cold War contributed to explaining whether capitalism was better than communism or not.

Answer: Marks bakery

Step-by-step explanation:

divide 450 by 3 = 150 loaves of bread Ann baked per day

divide 560 by 4= 140 loaves of bread Mark bakes per day

Thus Marks bakery bakes bread at a faster rate.

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Answer: 78 ÷ 3 = 26

Step-by-step explanation:

     We are given that there are 3 groups shown. This means we will be dividing by 3.

     We are given that each group has 2 ten rods (20) and 6 ones cubes (6). This means the answer is 26.

     Lastly, 26 * 3 = 78, meaning we are dividing 78 by 3.

This gives us:

     78 ÷ 3 = 26

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

1 ) Cross-multiply...

[tex]\frac{3}{x}[/tex] ÷ [tex]\frac{15}{45}[/tex]

[tex]3[/tex] × [tex]45 = 15[/tex] × [tex]x[/tex]

[tex]135=15x[/tex]

2 ) Flip the equation...

[tex]15x=135[/tex]

3 ) Divide both sides by 15...

[tex]\frac{15x}{15}[/tex] = [tex]\frac{135}{15}[/tex]

[tex]x = 9[/tex]

Hope this helps! :)

Answer: over budget by $64



Step-by-step explanation:

$99 coat

$75 Shoes

$240 tv

Total=414

total-budget=

Budget =$350

414-350

= 64

Answer:

the number greater than 5 is only 6 in the case of a coin.

Step-by-step explanation:

in a coin numbers greater than 5 is only 6

probability= No of required outcome/ No of possible outcome.

P.B= 1/6

in a coin there is head or tail

P.B of getting tail

P.B= Tail/Head + Tail

P.B= 1/2

The coin of course, has two sides, heads and tails. Assume we are talking about a six-sided die. Let's look at the individual probabilities.

There are only two sides to the coin, tails being one of them, so:
p(tails) = 1/2

The die goes from 1 to 6. We need to see the numbers that fit the inequality:

p(5 < x ≤ 6)
There is only one integer that is greater than five and less than or equal to six, and that is six. If there is only one number out of six, then:
p(>5) = 1/6

When dealing with probabilities, to determine the probability of two things happening, multiply both probabilities.

1/2 x 1/6 = 1/12

The no. of truffles than can be included in the box is 135.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The dimensions of the box you decided to purchase are 15 inches by 12 inches by 1.5 inches.

∴ The volume of the box is,

= (15×12×1.5) inches³.

= 270 inches³.

Given each truffle has a volume of 2 iches³.

∴ No. of truffles than can be included in the box is,

= (270/2).

= 135.

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Use the distributive property to multiply 2 times 4−2w.

Subtract 8 from 8 to get 0.

Divide both sides by −4.

Divide −4 by −4 to get 1.

Answer:

w = 1

Step-by-step explanation:

2(4 - 2w) - 8 = -4

(2*4 + 2*-2w) - 8 = -4

(8 - 4w) - 8 = -4

-4w + 8 - 8 = -4

-4w = -4

w = -4/-4

w = 1

Check:

2(4 - 2*1) - 8 = -4

2(4-2) -8 = -4

2(2) - 8 = -4

4 - 8 = -4

Answer:

3.3 miles with a bar notation on decimal 3

Step-by-step explanation:

convert 2/3 to decimal (2 divided by 3)

multiply 5 by decimal of 2/3

add bar notation on repeating decimal

Answer:

-11

Step-by-step explanation:

6(x-6)+2=8x-12

6x-36+2=8x-12 First take care of the parenthesis

6x-34=8x-12 then combine numbers

-2x-34=-12 Subtract 8 from both sides

-2x=22 Add 34 to both sides

x= -11 Divide by -2 on both sides

Answer:

Step-by-step explanation:

Solution

Steps

6(x−6) +2 = 8x−12

Expand by applying the distributive law:     a(b−c)=ab−ac

6(x−6)=6x-36

6x−36+2 = 8x−12

6x−34 = 8x−12

Add 34 to both sides

6x−34+34=8x−12+34

Simplify

6x=8x+22

Subtract 8x from both sides

6x−8x=8x+22−8x

Simplify

−2x=22

Divide both sides by −2

x=−11

The graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

First, let us understand the polynomial function:

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 9y + 6 is a polynomial with an exponent of 1.

We are given:

f(x) = x^3 - 2x^2 - 5x + 6

We know that, when the graph intersects the x-axis, it satisfies the equation that is f(x) = 0 at that point.

Let us check the points one by one;

Option A;

The graph intersects the x-axis at -2, 1, and 3 it should satisfy the equation f(x) = 0.

Let's put x = -2 in f(x), we will get;

f(-2) = -2^3 - 2(-2)^2 - 5(-2) + 6 = -8 - 8 + 10 + 6 = -16 + 16 = 0

f(-2) = 0.

Let's put x = 1 in f(x), we will get;

f(1) = 1^3 - 2(1)^2 - 5(1) + 6 = 1 - 2 - 5 + 6 = 7 - 7 = 0

f(1) = 0.

Let's put x = 3 in f(x), we will get;

f(3) = 3^3 - 2(3)^2 - 5(3) + 6 = 27 - 18 - 15 + 6 = 33 - 33 = 0

f(3) = 0.

So, the points -2, 1, and 3 satisfy the equation f(x).

Thus, the graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

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It is a function because the mapping .

(A) Due to the fact that there are no two values in Set B that have only one value in Set A mapped to them, the mapping diagram above represents a function.

(B) A function's very special property is that it associates one output with each input.

(C) Set A represents the domain, whereas Set B represents the range. Therefore, there would be exactly one value in the range that was unique for each value in the domain and would be present for each value in the domain.

In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The subsets X and Y are referenced to as the function's domain and codomain, correspondingly. A function is described as a relationship between a group of inputs with one output each. A function is, to describe it simply, a connection between inputs in which each input is associated to exactly one output. Every function has a domain and a codomain, or range. A function is a type of rule that produces one output from one input. Y=X2 is a good illustration of this. Any input for x yields a single output for y.

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Step-by-step explanation:

here's the answer, all of them

Answer:

See below.

Step-by-step explanation:

Each of the graphs shows a line segment, but because of the arrowheads, each situation is different.

Left graph.

The line segment has a point at each end. The graph is of just the line segment shown.

The lowest x-coordinate is -4.

The greatest x-coordinate is 3.

The lowest y-coordinate is 2.

The greatest y-coordinate is 5.

Domain: -4 ≤ x ≤ 3

Range: 2 ≤ x ≤ 5

In interval notation:

Domain: [-4, 3]

Range: [2, 5]

Middle graph.

The line segment has a point at the right endpoint but an arrowhead at the left. The graph is a ray that starts at point (2, 2), goes through point (-4, 5) and keeps going forever past point (-4, 5) in the direction of the segment.

The lowest x-coordinate is -∞.

The greatest x-coordinate is 2.

The lowest y-coordinate is 2.

The greatest y-coordinate is ∞.

Domain: x ≤ 2

Range: x ≥ 2

In interval notation:

Domain: (-∞, 2]

Range: [2, ∞)

Right graph.

The line segment has an arrowhead at each end. The graph is a line that includes the line segment shown. A line has no beginning and no end; therefore, it goes on in both directions forever.

The lowest x-coordinate is -∞.

The greatest x-coordinate is ∞.

The lowest y-coordinate is -∞.

The greatest y-coordinate is ∞.

Domain: all real numbers

Range: all real numbers

In interval notation:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Answer:

1.  Domain: [-4, 3]    Range: [2, 5]

2.  Domain: (∞, 2]    Range: [2, ∞)

3.  Domain: (-∞, ∞)    Range: (-∞, ∞)

Step-by-step explanation:

Domain: The set of all possible input values (x-values).

Range: The set of all possible output values (y-values).

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Note:  Assume that each square on the given graphs is 1 unit.

Question 1

There are closed circles at both endpoints of the line: (-4, 2) and (3, 5).

Therefore, the values are the endpoints of the intervals.

Question 2

There is a closed circle at (2, 2).

There is an arrow at one endpoint, so as x → -∞, y → ∞.

Question 3

There are arrows at the endpoints of the line.

Therefore, the domain and range are unrestricted.

Answer:

B (5,9)

Step-by-step explanation:

when working with fractions as slopes we use rise over run (broken down)

3 (numerator)--rise-how unit to go up or down

--

4 (denominator)--run--how many units to the left or right

since our slope is positive we will be going up 3 and 4 to the right.

if the slope is negative we go down and to the left.

hope this explanation helps for future questions