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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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
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 expressionThe 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?
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
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
Answer:
x = 155
Step-by-step explanation:
Find the product
3(z+4)(x-5)
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.
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)
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
Answer:hmmvb
Step-by-step explanation:
What is the quotient?
x-3) 4x2+3x+2
(PLEASE HELP THIS IS TIMED!!!)
Which graph represents the inequality x > 6?
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.
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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29п
Convert the angle
15
Express your answer exactly.
0 =
O
Show Calculator
=
radians to degrees.
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!!!!!!!!!!!!!!!!
Answer:
26 inches long
Step-by-step explanation:
62 - 36 =26
At Dairy Land, 50% of the 32 ice cream flavors contain fruit. How many ice cream flavors contain fruit?
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
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
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!!!!!
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 shapesSimilar 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
Answer:
y = 5x -2m = 5c = -2Step-by-step explanation:
You want the values of m and c for the equation y = mx + c that describes the line on the graph.
MThe 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
CThe 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.
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=
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
Answer:
mmm perdón solo quiero ganar puntos nose como se hace
What is academic mathematics
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
Answer:
3a*5 = (age of man) +2
Step-by-step explanation:
8. Describe the followings
( a)Internet
(b) Intranet
like form.
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.
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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- 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?
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
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?
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
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)
The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf 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 .
Answer:
Step-by-step explanation:
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: