The ratio of the number of empty tables to the total number of tables is 13:21
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, 8 of the tables at Joy's Italian Restaurant are full, and the other 13 tables are empty, we are asked to find the ratio of the number of empty tables to the total number of tables,
Number of empty table = 13
Total number of tables = 13 + 8 = 21
Ratio of the number of empty tables to the total number of tables = 13 / 21
Hence, the ratio of the number of empty tables to the total number of tables is 13:21
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(10n^3*18n^2-2n-10)/(n+1) Synthetic Division
The expression for the synthetic division is 10n³ + 8n² -10 - 0
What is synthetic division?Synthetic division can be defined as a mathematical way to divide a polynomial by a given binomial x - c
Given that, c is a constant.
The steps to take in synthetic division;
Set up the synthetic divisionBring down the leading coefficient to the bottom rowMultiply c by the value just written on the bottom row Add the column created in step 3Repeat until doneGiven the polynomial;
(10n^3*18n^2-2n-10)/(n+1)
[tex]\sqrt[n + 1]{10n^3 + 18n^2 -2n - 10}[/tex]
- 1 coefficient of dividend
10 18 -2 -10
____-10_-8__10_________
10 8 -10 0
The quotient becomes;
10n³ + 8n² -10 - 0
Hence, the expression is 10n³ + 8n² -10 - 0
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find each value for the equations
Variables in mathematics are used to represent values or quantities that can change or vary.
The values are:
a) g(3b) = 9b² - 3b
b) f(2) + 1 = 9
What is a function?
A function is a mathematical relationship between a set of inputs (also known as domain) and a set of possible outputs (also known as a range). The inputs are usually represented by variables, such as 'x' in the examples you provided.
The given functions are
f(x) = 3x +2 and g(x) = x² - x,
a) g(3b) = (3b)² - (3b) = 9b² - 3b
b) f(2) = 3(2) + 2 = 6 + 2 = 8
so f(2) + 1 = 8 + 1 = 9
Hence, the values are:
a) g(3b) = 9b² - 3b
b) f(2) + 1 = 9
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ap statitic fishing men are 190 lbs with gear and clothes with a variance of 100. what is the standard deviation of the weight of 4 men?
The standard deviation of the weight of 4 men would be: 5 lbs.
The Standard DeviationThe standard deviation of a sample of size 4 is the square root of the variance divided by the sample size. In this case, the standard deviation of the weight of 4 men would be:
√(100 / 4) = √(25) = 5 lbs
Please note that the standard deviation of a population is denoted by the Greek letter sigma (σ) and the standard deviation of a sample is denoted by the letter s.
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Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1year?
The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
What is Simple Interest ?
Simple Interest can be defined as the ratio of product of principal amount, time, rate and hundred.
Given ,
Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
we have to find interest will she earn in 1year
so we know that,
I = PTR
I = 900*(0.05)*1
I = $45
So, The interest could be $45.
Therefore, The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
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a school group sells gift cards and gift wrap for a fundraiser. twenty cards and forty gift wraps sell for $160. ten cards and thirty gift wraps sell for $110. how much does each gift wrap cost
The problem has no solution, because gift card will have negative price .
Define the term "system of equations" ?A system of equations is a set of multiple equations with multiple variables, where the goal is to find the values of the variables that satisfy all the equations simultaneously. It can be solved using different methods such as substitution, elimination and graphing.
This problem can be solved by setting up a system of equations and solving for the variables.
Let x be the cost of each gift card and y be the cost of each gift wrap.
According to the problem statement, we know that:
20x + 40y = $160 (where 20 gift cards and 40 gift wraps sell for $160)
10x + 30y = $110 (where 10 gift cards and 30 gift wraps sell for $110)
We can use these equations to find the value of x and y. To solve the system of equations, we can use the method of substitution.
We can solve the first equation for x:
x = ($160 - 40y) / 20
Now we can substitute this expression for x into the second equation:
10(($160 - 40y) / 20) + 30y = $110
Simplifying this equation:
8y = $50
then we can divide both sides by 8 to get:
y = $6.25
So each gift wrap costs $6.25
We can check our answer by substituting it back into the first equation to make sure it is consistent with the given information.
20x + 40($6.25) = $160
20x + $250 = $160
20x = -$90
x = -$4.5
We can see that x is negative, which is not a possible solution.
Therefore, the problem has no solution, because it is not possible to have negative prices for the gift cards.
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Mr.Riva bought a can of paint. He ued 3/8 of it to paint a bookhelf. He ued 1/4 of it to paint a wagon. He ued ome of it to paint a birdhoue and ha 1/8 of the paint left. How much paint did he ue for the birdhoue?
He used 1/8 of the paint for the birdhouse. This was calculated by adding the 3/8 of paint used for the bookhelf and 1/4 of paint used for the wagon together and then subtracting this amount from the total amount of paint. The result was 1/8 of the paint that was left for the birdhouse.
1. We know that Mr. Riva used 3/8 of the paint for the bookhelf and 1/4 for the wagon.
3/8 + 1/4 = 5/8
2. Since he had 1/8 of the paint left, we can subtract the amount he used from the total amount of paint:
1 - 5/8 = 1/8
3. Therefore, Mr. Riva used 1/8 of the paint for the birdhouse.
Mr. Riva used 1/8 of the paint for the birdhouse. This was calculated by adding the 3/8 of paint used for the bookhelf and 1/4 of paint used for the wagon together and then subtracting this amount from the total amount of paint. The result was 1/8 of the paint that was left for the birdhouse.
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What is the answer?Which polynomials are listed with their correct additive inverse? Check all that apply.
x2 + 3x – 2; –x2 – 3x + 2
–y7 – 10; –y7 + 10
6z5 + 6z5 – 6z4; (–6z5) + (–6z5) + 6z4
x – 1; 1 – x
(–5x2) + (–2x) + (–10); 5x2 – 2x + 10
That the nimber value i
If an imaginary line segment is drawn between the centers of the earth and the moon, then the net gravitational force F acting on an object situated on this line segment is F = −K x2 + 0.012K (239 − x)2 where K > 0 is a constant and x is the distance of the object from the center of the earth, measured in thousands of miles. How far from the center of the earth is the "dead spot" where no net gravitational force acts upon the object? (Express your answer to the nearest thousand miles. Hint: The distance from the earth to the moon is approximately 239 thousand miles.)
The "dead spot" is 19.04 thousand miles from the center of the earth
How find the dead spot?To find the "dead spot" where no net gravitational force acts upon the object, we need to find the value of x that makes F equal to 0.
We know that F = −K x2 + 0.012K (239 − x)2
So, we set F equal to 0 and solve for x:
0 = −K x2 + 0.012K (239 − x)2
0 = −K x2 + 0.012K (239 − x)2
K x2 = 0.012K (239 − x)2
x2 = 0.012 (239 − x)2
x2 = 2.888 (239 − x)2
x2 = 2.888 (239 − x)2
x2 = 2.888 x2 - 676.8 x + 568.976
x2 - 2.888 x2 = 676.8 x - 568.976
-1.888 x2 = 676.8 x - 568.976
x2 = 361.6 x - 303.504
x = √(361.6 x - 303.504)
x = √(361.6 x - 303.504)
x = 19.04
So the "dead spot" is 19.04 thousand miles from the center of the earth
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geometry i suck please help me please
Find m
The measure of ∠G is 48°.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
∠G and 48° are alternate exterior angles.
Alternate exterior angles are equal.
So,
∠G = 48°
Thus,
∠G = 48°
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How can I set up an equation to help solve this problem?
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{h}{2}=\cfrac{8}{h}\implies h^2=16\implies h=\sqrt{16}\implies h=4[/tex]
Can you please help me with this question. The question is on the image
Total VAT imposed on the Hungarian Secret boxes by Hungarian Government during time of purchase is 6480 Hungarian Forint
What is VAT ?A consumption tax known as value-added tax (VAT) is imposed on products and services at every step in the supply chain where value is added, from the point of initial production to the point of sale.
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
The total cost of the Secret Boxes is 30480.
The VAT is 27 %
So, the price of the Secret Boxes without Taxex is x
Therefore ,
x + 27% of x = 30480
⇒ x + 27x/100 = 30480
⇒ 127x/100 = 30480
⇒ x = 24000
Total VAT imposed on the boxes = 30480 - 24000 = 6480
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For each of the following research questions, determine whether an observational study, an experiment, or neither should be used to answer the question. Note - each term on the right may be used more than once or not at all. [Choose] chose What proportion of all college students in the United States have taken classes at a community college? Does an accelerated math program increase the success rates in transfer-level math? [Choose [Choose Are pregnant women who do not visit the doctor in the first trimester of their pregnancy more likely to have a low weight baby? Does oxidation of LDL cholesterol restrict the development of new neurons in the brain?
a. The first mentioned case is an Observational study, b. The second one is an Experiment, c. The same goes for the third case it is an observational study, d. And the fourth case is an Experiment.
In observational studies, researchers observe and record information about outcomes of interest without interfering with or controlling variables. Data on the proportion of community college students who successfully complete transfer-level English courses can be gathered and the data can be analyzed to provide answers to specific research questions.
The researcher must do this by contrasting her two sets of explanatory variables to see if there is a correlation between the explanatory and response variables.
If there is a causal relationship between two variables, researchers can observe plants and animals in new habitats and contrast them with their native habitats.
The relationship between consumption and LDL cholesterol oxidation is unclear, and experiments are required to determine whether eating simple carbohydrates increases LDL cholesterol oxidation.
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The question is -
For each of the following research questions, determine whether an observational study, an experiment, or neither should be used to answer the question. Note - each term on the right may be used more than once or not at all. Observational study What proportion of community college students successfully complete a transfer-level English course?
Experiment are non-elite soccer players less likely to develop arthritis of the hip or knee than elite soccer players. This is a question about the population of soccer players. The words "less likely in this research question require researchers to compare two groups of the explanatory variable to determine whether an association exists between the explanatory and response variables The researchers will then generalize the results to the population Observational study Does shifting flora and fauna to new habitats lead to the extinction of some species?
The word "lead" requires researchers to compare two groups of the explanatory variable to determine whether a cause-and-effect relationship exists between the explanatory variable and the response variables. Experiment Does the consumption of simple carbohydrates increase the oxidation of LDL cholesterol?
HELP…………………………………………..
Answer:
24
Step-by-step explanation:
12*8*5 =480 current surface
double = 960
so make the 12 into 24 height.
done
Find the measure of angles 1 and 2.
Explain your reasoning as to how you determined the measurements of angles 1 and 2.
Answer:
m<1 = 135°
m<2 = 135°
Step-by-step explanation:
When solving for angles we know that the horizontal lines are both parallel. This means that 135° is equal to number 1.
For angle 2 we know that angles opposite are equal to the angle already given. This means that angle 2 is equal to angle 1.
The image I gave should help you understand this.
Janie wants to save 125,000 dollars over the next 8 years how much would she need to save each month to reach that goal?
Answer: 1,302$ per month.
Step-by-step explanation: 125,000 divided by 8 = 15,625. 15,625 divided by 12 = 1302
(I'M SO SORRY FOR GETTING IT WRONG THE FIRST TIME, I FORGOT TO DIVIDE BY 12)
A recipe for punch requires 2 cups water to 5 cups juice. If
a total of 28 cups of punch were made, how many cups of juice were used
Answer:
2 cups of punch = 5 cups of juice
28cups of punch = 28/2 × 5
= 85 cups of juice
9. © MP. 6 Be Precise Mr. Meyer draws 110
a shape on the board. It has 4 sides of
equal length and 4 right angles. List all of
the names possible to describe the shape
Mr. Meyer drew.
The names possible to describe the shape Mr Meyer drew are square and rhombus.
A square is a quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles).
A rhombus is a quadrilateral whose four sides are all the same length.
We know a square has 4 sides that are equal and 4 right angles.
And Its properties are acquired by the shape Rhombus with equal sides, and opposite sides that are parallel to each other and angles are of right angle (90 degrees).
And many Quadrilaterals have a right angle but not 4 equal sides.
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the perimeter of parallelogram is150cm if one of the sides is twice the other find the measure of all the sides of the parallelogram.
Answer: 25, 25, 50, 50
Step-by-step explanation: Hello! Because it is a parallelogram, there are two pairs of congruent sides. This means that if one of the sides is twice the size of the other, then the side congruent to the side that is twice the size of the smaller side is also twice the size of the smaller side.
Let's represent a as the two smaller sides and b as the two larger sides
2a = b, 2a + 2a = b + b, 1/2(b) = a
Since the parallelogram is 150 cm, you know that 100 + 50 = 150.
50 is half the quantity of 100 and both add up to 150.
You now know that a + a = 50 and b + b = 100
a = a and b = b.
Divide 50 and 100 by two to find the length of each side.
50/2 = 25, 100/2 = 50.
The lengths of each side of the parallelogram are: 25, 25, 50, 50.
can you help me find the value of x
The value of x when Sum of LHS = RHS is 4.
How much does X equal?The letter "x" may be used in algebra to represent an unknown value. It might be called a "variable" or "unknown." If we make an effort, we can determine the value of x in the equation x + 2 = 7! The letter "x" is not required for a variable; it can also be "y," "w," or any other letter, name, or symbol.
The algebraic statement should typically take one of the following shapes: addition, subtraction, multiplication, and division. To find the value of x, first bring the variable to the left side, then shift every other value to the right side.
x + 5 + x+ 5+ x+ 5 = 27
3x + 15 = 27
3x = 27 - 15
x = 12/3
x = 4
Thus, The value of x when Sum of LHS = RHS is 4.
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Correct question:
Given both sides are equivalent expression and LHS sum = RHS. Find The value of x?
if you take an intelligence test three times within a week and get scores of 100, 75, and 125, the iq test is probably not:
If you take an intelligence test three times within a week and get scores of 100, 75, and 125, the IQ test is probably not reliable. So the option 4 is correct.
A set of standardized tests or subtests created to measure human intellect result in a total score known as an intelligence quotient (IQ). When an intelligence test was given, a person's mental age score was calculated. This score was then divided by their chronological age, which was also expressed in years and months. The resulting fraction (quotient), which yielded the IQ score, was multiplied by 100.
Test results that measure intelligence are estimates of intelligence.
A vast range of item material can be found on the many distinct IQ test types. There are both verbal and visual test items. Test questions can range from being grounded on abstract reasoning issues to focusing on math, language, or general knowledge.
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If you take an intelligence test three times within a week and get scores of 100, 75, and 125, the IQ test is probably not:
1. powerful.
2. accurate.
3. valid.
4. reliable.
what is joey's mean speed if he bikes 58.8 miles in 2.8 hours? round your answer to two decimal places, if necessary.
in a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 8 barrels per minute. a worker just switched on a newer line that can fill 12 barrels per minute. in a little while, the two lines will have filled an equal number of barrels. how many barrels will each line have filled? how long will that take?
Answer:
Step-by-step explanation:
23 barrels an 3 budgets
159.12 divided by 6.8 give evidence.
The value of the mathematical statement 159.12 divided by 6.8 is 23.4
How to determine the value of the statementfrom the question, we have the following parameters that can be used in our computation:
159.12 divided by 6.8
When represented using numbers and expressions, we have
159.12/6.8
Using a calculator, the value of the quotient is
23.4
Hence, the solution is 23.4
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Does 4x - 8 = 3x +13 have one solution, no solution or infinite solutions
Answer:
Step-by-step explanation:
Hello! Here are the steps to solve 4x - 8 = 3x + 13
4x - 8 = 3x + 13
+ 8 + 8
____________
4x = 3x + 21
-3x -3x
____________
x = 21
There is one solution because there is only one possibility for x. Let's check the answer.
4(21) - 8 = 3(21) + 13
84 - 8 = 63 + 13
76 = 76
x = 21, x does equal 21 and the answer that there is only one solution is correct.
No solutions would mean that after you solved the equation, you would get something like 9 = 7, 2 = 5, etc. which is not true. No solutions would mean that you would receive a false equation.
Infinite solutions would mean that after you solved an equation, such as 2x = 2y, you would get x = y. There are infinite solutions for this because you can substitute infinite numbers in for x and y. 1 = 1, 2 = 2, 3 = 3, 4 = 4, 5 = 5, etc.
Lamar bought 2 CDs that were each the same price. Including sales tax, he paid a total of$23.80 . Of that total, $2.40 was tax. What was the price of each CD before tax?
ITS 7TH GRADE MATH
Answer:
the price of each CD before tax is $10.70
Step-by-step explanation:
We can start by using algebra to set up an equation to represent the situation. Let x be the price of each CD before tax.
We know that:
The total price of the CDs before tax is 2x (because he bought 2 CDs that were the same price)
The total price of the CDs including tax is $23.80 (because that's what he paid)
The amount of tax is $2.40 (because that's what is stated in the problem)
So we can set up the equation as:
2x + 2.40 = 23.80
To find the price of each CD before tax, we can subtract the amount of tax from both sides of the equation:
2x = 21.40
And then divide both sides by 2:
x = 10.70
So the price of each CD before tax is $10.70
calculate the mean and the variance of a geometric distribution in which the probability of success is 0.80. give your answers precise to at least two decimal places.
The mean and variance of a geometric distribution in which the probability of success is 0.80 are 1.25 and 0.3125 respectively.
The mean of a geometric distribution is given by:
Mean = 1/p
Here, p is the probability of success on a single trial.
In this case, p = 0.80
So, the mean of the geometric distribution = 1/0.80 = 1.25
The variance of a geometric distribution is given by:
Variance =[tex](1-p) / p^2[/tex]
By substituting the value of p = 0.80, we get:
Variance = [tex](1-0.80) / 0.80^2 = 0.20 / 0.64 = 0.3125[/tex]
So the variance of the geometric distribution = 0.3125
Therefore, the mean and variance of a geometric distribution in which the probability of success is 0.80 are 1.25 and 0.3125 respectively.
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Please answer this question quick! The information is in the picture.
The area of the triangle is 60 in²
How to find the area of an isosceles triangle?
An isosceles triangle is a triangle with two equal sides. The area of an isosceles triangle is given by:
A = 1/2[√(a² − b² ⁄4) × b],
Where a is the measure of equal sides and b is the base of triangle
From the given info, a = KL = LM = 13 in and b = KM = 10 in
A = 1/2[√(13² − 10² ⁄4) × 10]
A = 1/2[√(169 − 100 ⁄4) × 10]
A = 1/2[√(169 − 25) × 10]
A = 1/2[√(144) × 10]
A = 1/2[12 × 10]
A = 1/2[120]
A = 60 in²
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Please name the answer with the number I need help asap no bots or trolling
Using linear equation, Isaac saved $33.3 and June ran 20.25 miles in 3 days.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
Let Eve saved = $x
then Isaac saved= 5x+x=$6x
where x=$5.55
Hence,
Isaac saved=$33.3
Let June ran y mile in one day
so, In three days she ran = 3y mile where y=6.75 miles
Hence,
June ran 20.25 miles in 3 days.
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A quantity with an initial value of 980 decays exponentially at a rate of 1% every 2 days. What is the value of the quantity after 5 weeks, to the nearest hundredth?
Answer:
An exponential decay function has the form y = a*b^(-kt) where a is the initial value, b is the base of the exponential function (in this case, 1 - the decay rate as a decimal), k is the decay rate and t is the time.
Given that the initial value is 980, the decay rate is 1% every 2 days and the time is 5 weeks. The first step is to convert the time to the same unit of time as the decay rate, in this case, days: 5 weeks * 7 days/week = 35 days.
The decay rate per day is 1/100 because 1% as a decimal is 0.01, so the decay rate per day is 0.01/2 = 0.005
Now we can plug in the values in the function:
y = 980 * (1 - 0.005)^(-0.005*35)
y = 980 * 0.995^(-17.5)
y ≈ 574.64
So, the value of the quantity after 5 weeks to the nearest hundredth is 574.64
It's worth noting that in this case, the base (1 - decay rate) is less than 1, which implies that the value of the quantity decreases over time.
the ratio of men to women working for a company is 4 to 3. if there are 175 employees total, how many women work for the company?