A restaurant owner orders new plates and spoon based on the information below

Plates are sold in packages of 9
Spoons are sold in packages of 12

The restaurant owner orders an equal number of plates and spoons what is the LEAST number of packages of plates and packages of spoons she should order to have equal number of plates and spoon
SHOW YOUR WORK

Answers

Answer 1

The least number of packages of plates and packages of spoons she should order to have equal number of plates and spoon is 4 and 3 respectively.

What is LCM?

LCM is the abbreviated form for Least Common Multiple. LCM of two or more numbers is the lowest of all the common multiples of them.

Given that,

Plates are sold in packages of 9

Spoons are sold in packages of 12

Let x be the number of packages of plate.

Let y be the number of packages of spoon.

Total number of plates in x packages = 9x

Total number of spoons in y packages = 12y

9x = 12y

We have to find the least common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, ......

Multiples of 12 = 12, 24, 36, 48, ......

Lest common multiple of 9 and 12 = 36

9 × 4 = 36 and 12 × 3 = 36

Hence the number of packages of plate is 4 and the number of packages of spoons is 3.

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Related Questions

a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20

Answers

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

How to find the expression

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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Smith, from Los Angeles, and Jones, from New York City, are both traveling to Kansas City, beginning their trips at the same time. The graph shows the distance in miles from Kansas City for each of them after they have both traveled for the same number of hours. After how many hours from the start of their journeys were they the same distance from Kansas City?

Smith, from Los Angeles, and Jones, from New York City, are both traveling to Kansas City, beginning

Answers

Answer: The answer should be 20 hours

Step-by-step explanation:

That is when the 2 lines meet up so that is when they are the same difference from Kansas City.

112 equals 2 times the length minus 5

Answers

Answer:

l = 58.5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

112 = 2l - 5

Step 2: Isolate term l by adding 5 on both sides

117 = 2l

Step 3: Isolate l by dividing both sides by 2

117/2 = l

Step 4: Evaluate

l = 58.5

Answer:

\(\Large \boxed{l = \frac{117}{2}}\)

Step-by-step explanation:

Let the length be \(l\).

\(112 = 2 l - 5\)

Adding 5 to both sides.

\(112 +5= 2 l - 5+5\)

\(117 = 2 l\)

Dividing both sides by 2.

\(\displaystyle \frac{117}{2} = \frac{2 l}{2}\)

\(\displaystyle \frac{117}{2} = l\)

RSM Geometry Question!!!

Find the value of x

RSM Geometry Question!!!Find the value of x

Answers

Answer:

x = 155

Step-by-step explanation:

Find the product
3(z+4)(x-5)

Answers

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.

Answers

Answer:

Diego's result is the same as Noah's result.

Step-by-step explanation:

Noah: 5+5+5+5=20

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

Write a two column proof (Given: x is the midpoint of WY and VZ) (Prove: VW=ZY)

Write a two column proof (Given: x is the midpoint of WY and VZ) (Prove: VW=ZY)

Answers

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Solve the following equation without using a calculator.

log3(81)=y

Answers

Answer:hmmvb

Step-by-step explanation:

What is the quotient?
x-3) 4x2+3x+2

Answers

x-3 4x2+3x+2 is the equation

(PLEASE HELP THIS IS TIMED!!!)

Which graph represents the inequality x > 6?

(PLEASE HELP THIS IS TIMED!!!)Which graph represents the inequality x > 6?

Answers

Answer:

The last one

Step-by-step explanation

x is greater than six so you would go to the right and it has to be an open dot since it can't be the same as 6

Answer:

hello

Step-by-step explanation:

Select the correct answer from each drop-down menu.

The total area of the three triangles is
square units.
The area of the figure is
square units.

Answers

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Select the correct answer from each drop-down menu.The total area of the three triangles is square units.The

29п
Convert the angle
15
Express your answer exactly.
0 =
O
Show Calculator
=
radians to degrees.

29Convert the angle15Express your answer exactly.0 =OShow Calculator=radians to degrees.

Answers

By using algebra, we can convert the angle θ from radians to degree, we get:

θ = 128.5°

What do you mean by radians?

One radian, a SI unit for measuring angles, is the angle formed in the center of a circle by an arc whose length is equal to the circle's radius. One radian, as is depicted below, is roughly equivalent to 57.296°. For calculating the angle in terms of radius, radians are used in place of degrees.

As we already know, one radian is the angle formed by the arc of a circle whose length is equal to its radius. As a result, the ratio of the arc length to the circle's radius is used to determine the angle subtended by an arc in radians.

Radians are calculated using the formula 2π = 360°.

Now in the given question,

θ = 257π/360

To convert radians to degrees, multiply by 180/π, since a full circle is 360° or 2π radians.

= 257π/ 360 × 180/π

= 257/2

= 128.5°

Therefore, the angle θ from radians to degree is 128.5°.

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maya joins two pieces of wood together. one piece is 36 inches long the total length of both pieces is 62 inches. how long is the other piece of wood? 15 points!!!!!!!!!!!!!!!!

Answers

Answer:

26 inches long

Step-by-step explanation:

62 - 36 =26

You subtract the length of the first piece of wood from the total to find the second one. 62-36=26 in

At Dairy Land, 50% of the 32 ice cream flavors contain fruit. How many ice cream flavors contain fruit?

Answers

Answer:

hmmm i think you need to dod

Step-by-step explanation:

yeah  

Answer:

60

Step-by-step explanation:

Which number doesn't share the same pattern as
2,20, 4,8,300​

Answers

The number 2 dosent share the same pattern

Which equation is the inverse of 5y+4= (x+3)²+12?
O y = x²+x+1100
y=3± √√5x+ 7/2
O-5-4--(x+3)²--1/
O
O y=-3± √5x+
7

Answers

The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

Which equation is the inverse of 5y+4= (x+3)²+12?

From the question, we have the following parameters that can be used in our computation:

5y+4= (x+3)²+12


Swap x and y in the equation

So, we have

5x + 4= (y + 3)² + 12

When we make the vairiable y the subject, we have

y = -3 ± √(5x - 8)

Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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HELP PLEASEEEEEEE!!!!!

HELP PLEASEEEEEEE!!!!!

Answers

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

What are similar shapes

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Y
6-
5-
4
3
2.
1
-5 -4 -3 -2 -1 0
-1.
--2-
--3/
Line R
1 2 3 4
5
X

PLEASE DO IT

The equation of line R, shown below, can bewritten in the form y = mx + c.What are the values of m and

Answers

Answer:

y = 5x -2m = 5c = -2

Step-by-step explanation:

You want the values of m and c for the equation y = mx + c that describes the line on the graph.

M

The coefficient 'm' in the equation y = mx + c is the slope of the line. It is the ratio of the "rise" to the "run". The "rise" is the vertical distance from one point to another on the line. The "run" is the corresponding horizontal distance between the points.

For finding these values, it is convenient to locate points on the graph that cross grid line intersections. These are circled in the attachment.

The slope (m) of this line is ...

  m = 5/1 = 5

C

The constant 'c' in the equation y = mx + c is the y-intercept of the line. It is the value of y when x=0. On the graph, it is the y-coordinate of the point where the line crosses the y-axis.

The line on this graph crosses the y-axis at y = -2.

The value of 'c' is -2.

The equation of the line is y = 5x -2.

__

Additional comment

You can find the values of "rise" and "run" from coordinates, or by counting grid squares on the graph. Often, counting the grid lines is easier.

Here, the "rise" is 3 -(-2) = 5, the difference of y-coordinates of the circled points.

The "run" is 1 -0 = 1, the difference of the corresponding x-coordinates of the circled points.

The slope is rise/run = 5/1 = 5.

The equation of line R, shown below, can bewritten in the form y = mx + c.What are the values of m and

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

If you are using a screen-reader, please consult your instructor for assistance.

x=


y=

Answers

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Pleaseeeeeeeeeeeeeeee helppppppppp

Pleaseeeeeeeeeeeeeeee helppppppppp

Answers

Answer:

mmm perdón solo quiero ganar puntos nose como se hace

What is academic mathematics

Answers

Answer:

What is academic math?

traditional type of mathematics course

Step-by-step explanation:

A man's age today is 2 years more than three time the age his son will be in 5 years from now. if a represent the age of the son write an expression to find the age of the man today

Answers

Answer:

3a*5 = (age of man) +2

Step-by-step explanation:

8. Describe the followings
( a)Internet
(b) Intranet
like form.​

Answers

Answer:

a. The INTERNET is a globally connected network of computers that enables people to share information and communicate with each other .

b. An INTRANET is a local or restricted network that enables people to store ,organize , and share information within an organization .

Definition of the Internet

The Internet can be described as network of networks since it connects over 50 million computer worldwide.

Definition of Intranet

The Intranet is a private network based on internet standard but only available within a business or other organizations.

FIND THE ERROR Saurabh and Elena visit a craft fair and notice a quilt with a pattern. Saurabh claims the pattern is made using translations. Elena believes that the pattern is made using rotations. Who is correct? Justify your argument.

Answers

Where Saurabh claims the pattern is made using translations and Elena believes that the pattern is made using rotations, note that Both Saurabh and Elena could be correct.

What is the rationale for the above response?

Translations involve moving an object in a straight line without rotating it. Since the pattern on the quilt can be replicated by moving identical shapes in a straight line without rotating them, then Saurabh would be correct.

Rotations involve rotating an object around a fixed point. Since the pattern on the quilt can be replicated by rotating identical shapes around a fixed point, then Elena would be correct. See sample quilt attached.

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FIND THE ERROR Saurabh and Elena visit a craft fair and notice a quilt with a pattern. Saurabh claims

- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?

Answers

The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.

Let the kilograms of peanut clusters = x

Let kilograms of chocolate creams = y = 3x

Therefore, from the information given, the equation to solve the question will be:

x + y = 48 kilograms

x + 3x = 48 kilograms

4x = 48 kilograms

x = 48 kilograms / 4

x = 12 kilograms

Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.

In conclusion, the correct option is 12 kilograms.

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Which inequality is equivalent to 2/3 X-5 < 11

Which inequality is equivalent to 2/3 X-5 &lt; 11

Answers

Answer:

2/3 x - 5 < 11

2/3 x < 16 (add 5 to both sides)

x < 16 * 3/2 (multiply both sides by 3/2)

x < 24

Step-by-step explanation:

The city of Tucson, Arizona, employs people to assess the value of homes for the purpose of calculating real estate tax. The city manager sends each assessor to the same five homes and then compares the results. The information is given below, in thousands of dollars. Can we conclude that there is a difference in the assessors, at α=0.05

Assessor
Home Zawodny Norman Cingle Holiday
A $54 $52 $48 $45
B 58 54 52 58
C 43 53 44 54
D 75 66 63 64
E 82 85 96 86

Required:
a. Is there a difference in the treatment means?
b. Is there a difference in the block means?

Answers

Answer:

There is not a difference between treatment means.There is a difference between block means.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as  

H0 :  there is no difference between treatment means

H0 :  there is no difference between block means        

against

Ha: treatment means are not equal.

Ha: block means are not equal.

2) We chose the significance level alpha= 0.01

3) The test statistic to use are

F1= estimated variance from Between hospitals SS/ Estimated Variance from Error SS

F2= estimated variance from Between days SS/ Estimated Variance from Error SS

Which have F distributions with v1=4 and v2= 4 d.f when null hypothesis is true.

Computations:

The necessary computations are shown below.

Assessor Home    Zawodny     Norman  Cingle     Holiday     Ti        Ti2          Sum X2ij

A                             $54             $52           $48            $45      199      39601      9949

                              (2916)          (2704)     (2304)        (2025)

B                              58               54            5 2              58         222      49284     12348

                           (3364)           (2916)     (2704)        (3364)

C                              43               53            44              54          194       37636     9510

                                (1849)       (2809)      (1936)     (2916)

D                              75               66          63               64          268        71824     18711

                               (5625)        (4356)      (3969)       (4761)

E                               82               85         96                 86         349       121801    30561

                               (6724)          (7225)   (9216)        (7396)

T.j                      312               310          303          305     1232    320146    81079      

T2.j                    97344      96100  91809   93025   378278

Sum X 2 ij         20478            20010         20129         20462      81079

Now Total SS= 81079-  (1232)2/ 20

                         = 81079- 75891.2= 5187.8

Between  Treatments SS= 378278/ 5 -75891.2= -235.6

Between  Blocks SS= 320146  /4- 75891.2= = 4145.3

 Error SS= 5187.8- (-235.6+4145.3)= 1278.1

Source                   SS           df                MS                  F

Treatments           -235.6       3                  78.533          F1= 0.737

Blocks                  4145.3      4                   1036.325       F2= 9.73

Error                     1278.1     12                106.508

Total                                      19

For Treatment:

Reject H0 if F> F (0.01) (3,12)=5.95

For blocks:

Reject H0 if F> F (0.01) (4,12)=5.41

Since the computed value F1= 0.737 does not fall in the critical region F> F (0.01) (3,12)= 5.95  and the calculated value F2= 9.73 falls in the region F> F (0.01) (4,12)=5.41 so we conclude:

There is not a difference between treatment means.There is a difference between block means.

you have 150 in a savings account and you have some cash you want to have twice the amount in have in savings account then cash how much should u deposit into your savings account

Answers

Answer:

get a job symple as that

Step-by-step explanation:

first get a rasame

next get acsepted

from there ur on ur oun

-8 * f(0) + 4 * g(-8)

Answers

The value of the expression -8 * f(0) + 4 * g(-8) is -60

Complete question

If the following equations represent the functions f(x) and g(x).

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate the value of -8 * f(0) + 4 * g(-8)

How to determine the value of the expression?

We have:

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate f(0) and g(-8)

f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15

Evaluate

f(0) = 7 and g(-8) = -1

Substitute the above values in the following expression

-8 * f(0) + 4 * g(-8)

So, we have:

-8 * 7 + 4 * -1

Evaluate

-60

Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60

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Answer:

-32

Step-by-step explanation:

khan academy said so

formula of Santander deviation .​

Answers

Answer:

Step-by-step explanation:

formula of Santander deviation .

Answer:

Work out the Mean(the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the Mean of those squared differences.

Take the square root of that and we are done!

Step-by-step explanation:

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LCNRV of inventoryAO is always either the net realizable value or its cost.B should always be equal to net realizable value.C may sometimes be less than net realizable valueD. should always be equal to net realizable value less costs to complete. The height, above the ground, of a block on a vertical spring is a sinusoidal (trigonometric) function of time. In the interval from time 2.1 seconds to time 2.7 seconds, the block's height decreases from its maximum of 48 inches to its minimum of 30 inches. Which function h(t) could model the block's height in inches above the ground at time t seconds? Solve for x and y603073 because of the belief that accounting based numbers such as roi, roe, and eps are not reliable indicators of a corporation's economic value, which method of corporate performance is now touted? show full work, get brainiest answer You pay $63.43 for a videogame. The amount includes atax of $3.48. Which equation canbe used to find c, the cost of thevideo game before tax? taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function A(t) = 525(1+0.05) represents the amount of money in the account after t years. how much money did taber originally invest? what is 1 1/3 times 1 3/5 After 3 years, the person dried out the avocado tree and weighed it. There were 1950g of dry roots, stem and leaves. Where did most of the atomsmaking up the dry mass of the plant come from?The soilSunlightThe airWaterThe seed I need help pls I only have 3 mins!! Expected overhead cost and related data for the two production departments follow. FabricatingAssembly Direct labor hours 120,000DLH 340,000DLH Machine hours 166,000MH 125,000MH Overhead cost$350,000 $415,000 Required 1. Determine the plantwide overhead rate for Laval using direct labor hours as a base. 2. Determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate. 3. Compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department. 4. Use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps. Susan counted a total of 36 red and green cars in the parking lot. There were 8 times as many red cars as green cars. How many red cars did Susan count? Predict what will happen to the concentration of pyruvate, NADH and H+ when glycolysis is stopped by 2-deoxyglucose. There were 36 students trying out for the school basketball team, but only 2/9 were going to make it through. How many students would there be on the school basketball team? HELP ASAP! Recommend strategy that the youth could consider to ensure their cyber safety whilst participating in any social media campaign against social ills.and also indicate how this strategy could lead to greater cyber safety the census bureau reports that 27% of california residents were born outside the united states. (a) suppose that you randomly choose 4 californians. what is the probability that exactly 1 of the chosen californians were born outside the u.s.? Put decimals in order from smallest to largest and then find the median? Write a function called count that receives (A) a string and (B) a character, and returns a count of how many times the character is within the string You are thinking of opening a gardening business during the summer you will cut, weed, rake, and water lawns. a. What market structure would you be competing in? b. Describe your pricing strategy using the term "elasticity of demand." To find the surface area of a triangular prism, use the formulaS= 2B + Ph where B is the area of the base, P is the perimeter of thebases, and h is the height of the prism.The height of the prism is_____ftThe area of the base is_____ftThe perimeter of the base is_____ftFill in the formula. S= 2.____+____X_____The surface area of the triangular prism is_____ft