The minimum number of tables that the store must sell in order to meet the requirements is 9 tables.
What is a system of inequality?A system of inequality is a set of inequalities in which we perform the operations to find the range of the solution.
Given that, an online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 21 pieces of furniture and must sell no less than $5700 worth of chairs and tables. If 10 chairs were sold, we are asked to determine the minimum number of tables that the store must sell in order to meet the requirements.
Let x be the number of chairs sold and y be the number of tables sold.
Chairs are sold for $100 each, then x chairs cost $100x.
Tables are sold for $550 each, then y tables cost $550y.
Every day, the store can ship at most 21 pieces of furniture, then,
x+y ≤ 21
Store must sell no less than $5,700 worth of chairs and tables, then
100x+550y ≥ 5700
If 10 chairs were sold, then x=10 substitute this value into both inequalities:
100·10+550y ≥ 5700
[tex]8\frac{6}{11}[/tex] ≤ y ≤ 11
Hence, the minimum number of tables that the store must sell in order to meet the requirements is 9 tables.
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The diameter of a circle is 7 ft. Find the circumference to the nearest tenth.
Answer:
Step-by-step explanation:
C=[tex]2\pi R=\pi d[/tex]
if [tex]\pi = 3.14[/tex]
c=3.14*7=21.98
Pls help me I am struggling and neither me or my mom can figure it out
The coefficient of the term x6 is 6048
The coefficient of 6x is 6.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
We have to write the coefficient of 6x.
As, coefficient is the number which is just before the variable like in 2x 'x' is the variable and '2' is the coefficient.
So, the coefficient 6x is 6.
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The punnett square shows the possible genotype combinations of two parents who are heterozygous for a particular trait. What is the probability of the parents having a child who is homozygous dominant for this trait? 0% 25% 50% 75%.
The probability of the parents having a child who is homozygous dominant for this trait is 25%
In the given question, there is a particular character that has two alleles Y dominant allele and y recessive allele. Both parents are heterozygous for the trait that is encoded as Yy cross with Yy.
Cross between: Yy X YyIf both parents carry only one copy of a recessive gene, the likelihood of a child having the recessive trait is one in four.Offspring are produced: YY: 2Yy: yyHomozygous would be represented for dominant - YYThere is one YY out of 4 offspring(1/4)x100 = 25%
Thus, the correct probability would be 25%
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proportionality constant between 3.56 and 13.35?
5 and 18.75
6.12 and 22.95
(finish the chart )
what pounds to cost
(constant)?
The constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.
What is the Constant of Proportionality?If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables.
The proportionality constant, k, is often used.
So, the Constant of Proportionality is as follows:
C = y/x
Now, insert values as follows:
C = y/x
C = 13.35/3.56
C = 3.75
Therefore, the constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.
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Correct question:
Proportionality constant between 3.56 and 13.35?
A B C D E F G H I J K L M N O P Q R S T U V W X Y AND Z NOW I KNOW MY ABCS NEXT TIME WONT YOU SING WITH MEEEEEEEEE
3(x+5)<5(-x+18)
??????
Answer:
Step-by-step explanation:
3(x+5)<5(-x+18)
3x+3x5<5(-x)+5x8
3x+15<-5x+40
3x-(-5x)<40-15
3x+5x<25
8x<25
x<25/8
_____________ is multiplying the numerator of the first fraction times the denominator of the second and multiplying the denominator of the first times the numerator of the second.
Answer:
Step-by-step explanation: umm i'm a middle schooler so i tried i'm sorry.
Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
Answer: The final step in solving the inequality -2(5 - 4x) < 6x - 4 would be to isolate x on one side of the inequality. In the previous step (-6 < -2x), we have -2x on one side of the inequality and -6 on the other. To isolate x, we divide both sides of the inequality by -2:
-6 ÷ -2 < -2x ÷ -2
Since dividing by a negative number reverses the inequality direction, we get:
3 > x
So, the final solution to the inequality -2(5 - 4x) < 6x - 4 is x > 3. This means that all values of x that are greater than 3 satisfy the inequality.
Step-by-step explanation:
What is a proportion symbol in statistics?
The proportional symbol in statistics is to express the percentage of a population that possesses a particular feature.
To express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.
We can select a random sample of people from the population and count the number of people who own cars, for instance, if we are interested in the percentage of residents of a city who drive. In our sample, let "x" represent the number of car owners, and "n" represent the total number of participants. The sample percentage of cars is thus to express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.
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Solve and show your work.
The garden has 3 times as
many cabbages as carrots. If
there are 36 cabbages, how
many carrots are there? [easy points]
Answer:
12 carrots
Step-by-step explanation:
If there is 3 times as much cabbages as there is carrots, and there is 36 cabbages then you would do 36/3 because of the 3 times as much. The answer would be 12 carrots.
36/3=12
What is 62kg in pounds ?
62kg is equivalent to approximately 136.7 pounds and both are unit of measurement of weight.
The conversion factor from kilograms to pounds is 2.20462. To convert kilograms to pounds, you simply multiply the weight in kilograms by this conversion factor.
Therefore, to convert 62kg to pounds, we can multiply 62 by 2.20462, which gives us approximately 136.7 pounds.
It's important to note that kilograms and pounds are both units of weight, but they are used in different parts of the world. Kilograms are the standard unit of weight in most countries, while pounds are commonly used in the United States and some other countries.
When traveling or communicating with people from different countries, it's important to be able to convert between different units of measurement.
Online converters or calculators can be useful tools to quickly and accurately convert between kilograms and pounds, or other units of measurement, as needed.
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y=3x-8
3x+2y=2 GRAPH
Answer:(x,y)=(8/3+y/3,-3-y/2
Step-by-step explanation:
y=3x-8 3x+2y=2 next simplify
8/3+y/3 -x-2/3y=-2/3 multiply both sides by -1/3
x=8/3+y/3 -x-2/3y=-2/3 eliminate at least 1 variable
y=-3-y/2
ordered pair to the solution 0=0 & 2=2
A television and DVD player cost a total of $1140. The cost of the television is three times the cost of the DVD player. Find the cost of each item.
Answer:
cost of television + cost of DvD =1140
cost of television =3×cost of DVD
3×cost of DVD+cost of DVD =1140
4×cost of DVD =1140
cost of DVD =285$
Please help! Can’t seem to find anyone who has an explanation for this.
The steps to explain and show how to evaluate a·b for a = 5 and b = 8 include the following:
Steps a·b___
Substitute 5 for a 5·b
Substitute 8 for b 5·8
Multiply 40
What is an expression?In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
Based on the information provided above, we have the following mathematical expression:
Expression = a·b
Expression = 5 × 8 (Substitute 5 for a and substitute 8 for b)
Expression = 40 (multiply).
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The measure of one interior angle of a parallelogram is 0. 25 times the measure of another angle.
If the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle, let's call the measure of the larger angle "x". Then, the measure of the smaller angle would be 0.25x.
In a parallelogram, opposite angles are equal in measure. So, if one angle measures x, the opposite angle would also measure x. And if one angle measures 0.25x, the opposite angle would also measure 0.25x.
Therefore, the sum of the measures of the angles in a parallelogram would be x + x + 0.25x + 0.25x = 2x + 0.5x = 2.5x.
Since the sum of the measures of the interior angles in a parallelogram must equal 360 degrees, we can set up the following equation:
2.5x = 360
Solving for x, we get:
x = 144
0.25x = 0.25*144
= 36
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3 5 fraction fill up 6 bowls =
The fraction of the box she puts in each bowl is, 1/10
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
To find the fraction of the box that Evangeline puts in each bowl, we need to divide the total amount of nuts in the box by the number of bowls.
The amount of nuts she has is 3/5 of a box.
To find the amount of nuts in each bowl, we need to divide 3/5 by 6:
(3/5) ÷ 6
To divide by a fraction, we can multiply by its reciprocal:
= (3/5) ÷ (6/1)
= (3/5) x (1/6)
Multiplying across, we get:
= (3/5) x (1/6)
= 3/30
= 1/10
Therefore, Evangeline puts 1/10 of the box in each bowl.
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The complete question:
Evangeline has 3/5 of a box of nuts. She uses it to fill 6 bowls. What fraction of the box does she put in each bowl.
I NEED HELP ASAP!!!
Answer:
x = 30
Step-by-step explanation:
ΔABC is a right-angled triangle where:
∠C = 90°
Sum of interior angles in any triangle = 180°
Therefore:
x° + 2x° + 90°= 180°
3x° + 90° = 180°
3x° = 180° - 90°
3x° = 90°
x = [tex]\frac{90}{3}[/tex]
∴Value of x = 30
Answer:
[tex]x[/tex] is equal to [tex]30\textdegree[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is 180 degrees. This is because a triangle is a polygon with three sides and three angles, and the sum of the angles in any polygon can be found by using the formula:
sum of interior angles = (n - 2) x 180 degrees
Note: n is the number of sides.
A triangle has 3 sides. So substituting 3 in for n gives us
(3 - 2) x 180 degrees = 180 degrees
So the sum of the interior angles in a triangle is always 180 degrees.
In this example we can say that [tex]\angle A +\angle B+ \angle C=180\textdegree[/tex]
We are given a right triangle. A right angle is equal to 90 degrees.
We can conclude that
[tex]x+2x+90=180[/tex]
Lets solve for [tex]x[/tex].
Subtract 90 from both sides.
[tex]x+2x=180-90[/tex]
[tex]x+2x=90[/tex]
Add [tex]x[/tex] and [tex]2x[/tex].
[tex]3x=90[/tex]
Divide both sides by 3.
[tex]x=\frac{90}{3}[/tex]
[tex]x=30[/tex]
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A company is designing a new cylindrical package. The volume of the package is 87.92 in.3. The radius is 2 inches. Use the formula V = Bh and 3.14 to approximate π
to answer the questions.
Part A
To the nearest inch, how many inches is the height of the cylindrical package?
Answer:
Step-by-step explanation:
to answer the questions.
Part A
To the nearest inch, how many inches is the height of the cylindrical package?
Part B
The company decides to keep the radius the same and double the height. Rounded to the nearest hundredth, how many cubic inches is the new volume of the package?
How do you prove a contrapositive?
Answer:
Step-by-step explanation:
A contrapositive is a logical equivalent of the original statement that has the opposite direction and negated conclusion. It can be proven by using the following steps:
Start with the original statement in the form of "If P, then Q".
Negate both the hypothesis (P) and the conclusion (Q) of the original statement.
Conjoin the negated hypothesis and the negated conclusion to form a new statement.
Show that the contrapositive is logically equivalent to the original statement, meaning that it has the same truth value as the original statement for all possible cases.
For example, consider the statement: "If it rains, the roads will be wet." The contrapositive of this statement is "If the roads are not wet, it did not rain." To prove the contrapositive, we can use the following steps:
Start with the original statement "If it rains, the roads will be wet."
Negate both the hypothesis and the conclusion: "It does not rain" and "The roads are not wet".
Conjoin the negated hypothesis and the negated conclusion: "It does not rain and the roads are not wet."
Show that the contrapositive is logically equivalent to the original statement by considering all possible cases:
If it rains, the roads will be wet (as stated in the original statement), and the contrapositive "It does not rain and the roads are not wet" is false.
If it does not rain, the roads will not be wet (as stated in the contrapositive), and the original statement "If it rains, the roads will be wet" is false.
This shows that the contrapositive is logically equivalent to the original statement, and we can use it to draw the same conclusion with a different proof.
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1) Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes
it would take her to eat 35hot dogs if she can keep up the same pace.
How many minutes would it take her to eat 35 hot dogs?
Answer:
10 minutes
Step-by-step explanation:
21/6 will give us how much hot dogs in 1 minute
You then get 3.5 hot dogs per minute.
For 35 hot dogs do 35/3.5 which gives us the amount of time it wil take for Mika to eat 35 hot dogs
Suppose "n" can't equal 0 or 1. Show that substitution v=y^(1-n) transforms the Bernoulli equation dy/dx + P(x)y=Q(x)y^(n)into the linear equation dv/dx + (1-n)P(x)v(x)=(1-n)Q(x).
Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy
Step-by-step explanation:
Explain why you can write the product (26) 23• (26) 15as the single power (26) 38 .
The reason [tex]26^{23[/tex] x [tex]26^{15[/tex] can be written as [tex]26^{38[/tex] because both have same base and power get added.
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
We have [tex]26^{23[/tex] x [tex]26^{15[/tex]
Now, using the property of exponents and power if the base of number same and in relation of multiplication then the power get added.
So, [tex]26^{23[/tex] x [tex]26^{15[/tex]
= [tex]26^{23 + 15[/tex]
and, 23+ 15 = 38
= [tex]26^{38[/tex]
So, the exponent can written with power of 38 as the power gets added.
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Speedy Auto Repairs uses a job-order costing system. The company's direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics' hourly wages. Speedy's overhead costs include various items, such as the shop manager's salary, depreciation of equipment, utilities, insurance and magazine subscriptions and refreshments for the waiting room.
The company applies all of its overhead costs to jobs based on direct labor-hours. At the beginning of the year, it made the following estimates:
Direct labor-hours required to support estimated output $12,000
Fixed overhead cost $114,000
Variable overhead cost per direct labor-hour $1.00
Required:
1. Compute the predetermined overhead rate.
2. During the year, Mr. Wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. The following information was available with respect to his job:
Direct materials $626
Direct labor cost $292
Direct labor hours used 4
Compute Mr. Wilkes' total job cost.
3. If Speedy establishes its selling prices using a markup percentage of 40% of its total job cost, then how much would it have charged Mr. Wilkes?
(1) The predetermined overhead rate is $10.50 per direct labor-hour.
(2) Mr. Wilkes' total job cost is $960.
(3) Speedy Auto Repairs would have charged Mr. Wilkes $1344 for the job.
1) To compute the predetermined overhead rate, we need to add the fixed and variable overhead costs, and then divide by the estimated direct labor-hours:
$114,000 + ($1.00 * 12,000) = $126,000
Predetermined overhead rate = $126,000 / 12,000 = $10.50 per direct labor-hour
2) To find Mr. Wilkes' total job cost, we need to add up the costs of the direct materials and direct labor, and then apply the predetermined overhead rate to the direct labor hours used:
Direct materials cost: $626
Direct labor cost: $292
Total direct costs: $626 + $292 = $918
Overhead cost: $10.50 * 4 = $42
Total job cost: $918 + $42 = $960
3) To find the selling price, we need to add a markup of 40% of the total job cost:
Total job cost: $960
Markup: 40% * $960 = $384
Selling price: $960 + $384 = $1344
So, Speedy Auto Repairs would have charged Mr. Wilkes $1344 for the job.
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combine like terms 4x+4y^3-5+6-2y^3-5y^3+5x
what is 148 cm to inches
Answer:
58.2677
Step-by-step explanation:
148 divide the length value by 2.54
Answer:
1 inch = 2.54 cm
148 / 2.54 = 58.2677165354 inches
Step-by-step explanation:
what is the value of x? enter your answer in the box. units
The value of x or length of FD int the figure is 75.
image attached below,
EquationAn equation is a mathematical statement that is made up of two expressions connected by an equal sign.
side of triangleIn a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
This is similarities in sides questions. To solve make equation.
JY = 42
JS = 42 + 63 = 105
JD = 50
JF = 50 + x
Using the sides,
52/105 = 50/50+x
(42)(50+x) = (50)(105)
2100 + 42x = 5250
42x = 5250 - 2100
42x = 3150
x = 3150/42
x = 75.
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Paul gross weekly salary is $456 what is the maximum monthly rent he can afford?
Answer:
A metal disk 12cm in diameter and 5cm thick is melted down and cast into a cylindrical bar of diameter 5cm . How long is the bar
is the value of Y+6 greater in4(y+6)=48 or 12(y+6)=48 how do you know?
To determine which expression has a greater value for Y + 6, we need to isolate Y + 6 on one side of the equation and compare the two expressions.
Starting with 4(y + 6) = 48, we can distribute the 4 to get 4y + 24 = 48. Subtracting 24 from both sides gives us 4y = 24, and then dividing both sides by 4 gives us y = 6. So, for this expression, the value of Y + 6 is 6 + 6 = 12.
Next, for 12(y + 6) = 48, we can distribute the 12 to get 12y + 72 = 48. Subtracting 72 from both sides gives us 12y = -24, and then dividing both sides by 12 gives us y = -2. So, for this expression, the value of Y + 6 is -2 + 6 = 4.
Therefore, the value of Y + 6 is greater in 4(y + 6) = 48 than in 12(y + 6) = 48.
Answer:
The value of y + 6 is greater in the first equation.
----------------------------
Divide both sides of the first equation by 4:
4(y + 6) = 48y + 6 = 12Divide both sides of the second equation by 12:
12(y + 6) = 48y + 6 = 4As we see the first expression has greater value since 12 > 4.
Bodin Company manufactures finger splints for kids who get tendonitis from playing video games. The firm had the following inventories at the beginning and end of the month of January. Jan 1 Jan 31 Finished goods$125,000 $117,000 Work in process 233,000 251,000 Raw material 133,000 124,000 The following additional data pertain to January operations. Raw material purchased$190,000 Direct labor 350,000 Actual manufacturing overhead 170,000 Actual selling and administrative expenses 110,000 The company applies manufacturing overhead at the rate of 60 percent of direct-labor cost. Any overapplied or underapplied manufacturing overhead is accumulated until the end of the year. Compute the company's prime cost for January.
The company's prime cost for January is 556000.
As per the data given:
Bodin Company manufactures finger splints for kids who get tendonitis from playing video games.
The firm had the following inventories at the beginning and end of the month of January.
January 1 January 31
Finished goods---------$125,000----------------$117,000Work in process--------$233,000---------------$251,000Raw material-------------$133,000----------------$124,000The following additional data pertain to January operations.
Raw material purchased------------------------------------$190,000Direct labor------------------------------------------------------350,000 Actual manufacturing overhead--------------------------170,000Actual selling and administrative expenses----------110,000Here we have compute the company's prime cost for January.
First add Raw materials, January 1 with Raw materials purchased and then subtract Raw materials, January 31 from this sum and then later add up the Direct labor to the result.
The final result will be the prime cost for January
Raw materials, January 1_______133000(+) Raw materials purchased____190000(-) Raw materials, January 31____117000Raw materials used___________206000(+) Direct labor______________ 350000Prime cost__________________556000Therefore the prime cost is 556000.
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Sally is near the end of a three year lease on a car with an original MSRP of $38,000. Her leasing company claims that the car is now worth only $28,500. Which percentage represents the residual value of Sally’s leased car?a.25%b.33%c.67%d.75%
The residual value of Sally's leased car is 75%.
So, the answer is d. 75%.
To find the residual value of Sally's leased car, we can divide the value claimed by the leasing company by the original MSRP and multiply by 100 to express the answer as a percentage.
MSRP stands for Manufacturer's Suggested Retail Price. It is the price recommended by the manufacturer of a product for its retail sale.
Residual value refers to the estimated value of an asset at the end of its lease or at a specified future date. It is used in the context of lease financing or depreciation calculations and is usually expressed as a percentage of the original value of the asset. In the context of a car lease, the residual value refers to the estimated value of the car at the end of the lease term.
The residual value is:
= $28,500 / $38,000 * 100
= 75%
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