One hot wing costs 60 cents at this restaurant.
What are unknown variables?A variable in an equation that has to be solved for is known as an unknown.
A polynomial or formal power series may contain an indeterminate symbol, often known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant rather than a variable. Nonetheless, many writers view indeterminates as a distinct class of variables because of the close connection between polynomials or power series and the functions that they describe.
Let's us assume that the cost of one hot wing is x dollars.
Then,
Total amount spent by each customer:
8x + 4 = 10x + 2.8
8x - 10x = 2.8 - 4
-2x = -1.2
x = 0.6
Therefore, one hot wing costs 60 cents at this restaurant.
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5b+2b>=500 equality?
Answer:
[tex]71.43[/tex]
Step-by-step explanation:
[tex]5 b+ 2 b\geqslant 500 \\ 7b \geqslant 500 \\ \frac{7b}{7} \geqslant \frac{500}{7} \\ b \geqslant 71.43 \\ [/tex]
[tex] b= 71.43 < \infty [/tex]
10 workers can complete a piece of work in 18 days. How many workers are required to complete the work in 12 days?
The number of workers required = 15
Finding the number of workers:Observe the given problem and find out the relation between the number of workers and the number of days.
In given two one quantity decreased and the other quantity increased then both quantities are said to be in inverse proportions.
Here the product of two quantities will equal a constant.
Here we have
10 workers can complete a piece of work in 18 days
Let 'x' be the number of workers required to complete work in 12 days
Here when the number of days increases the number of workers will be decreased which shows the number of work is inversely proportional to the number of days
The relation can be represented as
=> 10 worker × 18 days = 12 days × x workers
=> 10 × 18 = 12x
=> x = 180/12
=> x = 15
Therefore,
The number of workers required = 15
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Need. help asap ........................
Answer: 135x
Step-by-step explanation: I did this and got it right
Answer:
The answer is 135
Step-by-step explanation:
Always use PEMDAS when solving so this id what you do
P (parenthesis): 12-2 = 10
E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27
M (multiply): 10x27= 270
D (divide): 270 divided by 2 = 135
*There is no addition and subtraction in the equation so you dont have to use them*
I hope this helped you!!
» Complete the sentence.
8.347 rounded to the nearest hundredth is
8.347 rounded to the nearest hundredth is 8.35
The complete sentence is 8.347 rounded to the nearest hundredth is 8.35.
Given sentence is
8.347 rounded to the nearest hundredth is ......
To find the nearest hundredth value
here, count the place value from left to right
place value of 7 is ones.
place value of 4 is hundredth.
So, 8.347 rounded to the nearest hundredth is 8.35.
Therefore, the complete sentence is 8.347 rounded to the nearest hundredth is 8.35.
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J
14
20
K
22.4
AKLS-
T
32
L
Similar By:
S
Determine if the triangles are similar. If similar.state how and complete the similarity statement
The triangles JTK and KSL are not congruent. So we cannot complete a similarity statement.
what is congruent ?
In geometry, two figures are said to be congruent if they have the same shape and size. In other words, if all corresponding angles are congruent and all corresponding sides are of equal length, then the two figures are congruent.
For example, two triangles are congruent if all three pairs of corresponding angles are congruent and all three pairs of corresponding sides are of equal length. Similarly, two circles are congruent if they have the same radius.
According to the question:
To determine if the triangles JTK and KSL are similar, we need to check if their corresponding angles are congruent and their corresponding sides are in proportion.
First, we can see that angle JTK and angle KSL are congruent because they are both right angles.
Next, we can use the Pythagorean theorem to find the length of side TK:
[tex]TK^2 = JK^2 - JT^2[/tex]
[tex]TK^2 = 14^2 - 2^2[/tex]
[tex]TK^2 = 192[/tex]
TK = sqrt(192)
TK = 8*sqrt(3)
Now, we can compare the ratios of the corresponding sides to see if they are equal:
JT : JK : TK = 2 : 14 : 8*sqrt(3)
KS : KL : SL = 32 : 22.4 : 15.2
We can simplify these ratios by dividing by the greatest common factor, which is 2:
JT : JK : TK = 1 : 7 : 4*sqrt(3)
KS : KL : SL = 8 : 5.6 : 3.8
We can see that these ratios are not equal. Therefore, the triangles JTK and KSL are not similar.
Since the triangles are not similar, we cannot complete a similarity statement.
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what is the answer for the question
$30,000 invested for 40 years at 10% compounded annually
The amount at the end of the 40 years calculated using compound interest at a rate of 10% is $1,357,777.67.
What is meant by compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. The interest charged on a loan or deposit is known as compound interest. That is the idea that we employ the most frequently on a daily basis. The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Given,
The principal amount P = $30,000
The time period t = 40 years
The rate of interest r = 10%
The number of times compounded in a year n = 1
The compound interest formula can be used to calculate the amount at the end of 40 years.
[tex]A = P(1 + \frac{r}{n})^{nt} = 30000(1 + \frac{0.1}{1})^{1*40}[/tex] = $1,357,777.67
Therefore the amount at the end of the 40 years calculated using compound interest at a rate of 10% is $1,357,777.67.
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A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size is 100 selected and is used to estimate What is the probability that the sample mean will be within 8 of the population mean
By answering the above question, we may state that As a result, there is standard deviation a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
What is standard deviation?A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.
population + standard deviation departure from the mean / sqrt (sample size)
Standard deviation is 90/sqrt(100) and equals 9.
z is equal to (x - ) / ( / sqrt(n)).
where:
The sample mean is x. We are looking for the probability given the following conditions: where is the sample size, which is 100; is the population mean, which is 400; is the standard deviation of the distribution of sample means, which is 9;
When we change the values, we obtain:
[tex]Z = (9 / sqrt(100) / (x - 400)\\z = (x - 400) / 0.9\\P(392 < = x < = 408)\s= P[(392 - 400) / 0.9 < = z < = (408 - 400) / 0.9] .9]\\= P[-8.89 < = z < = 8.89] .89]\\[/tex]
To determine this probability, we can use a calculator or a conventional normal distribution table.
[tex]P[-8.89 < = z < = 8.89] = 0.9999[/tex]
As a result, there is a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
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Plot the point (4,5) on the graph
Answer:
I don't know if this helps.
PLEASE IT IS TIMED!!!!!!!!! If f(x)=x^3 and g(x)=(x+4)^3 which description represents the graph of function g? A. a vertical transformation of function f 4 units down B. a horizontal transformation of function f 4 units left C. a horizontal transformation of function f 4 units right D. a vertical transformation of function f 4 units up
Answer:
5175 7 ehsjdjdrusjskskekrirr
You work for a pet-grooming service. You record the number of animals you groomed each day over a 10-day period: 7, 10, 8, 9, 7, 11, 8, 6, 7, and 9. You state that the typical number of animals that you can groom is the mean of 8.2 animals per day.
Does this measure of central tendency describe the data well?
Yes, because the mean always describes data well.
Yes, because there are no outliers to skew the data.
No, because it is not possible to groom 0.2 of an animal.
No, because the most common number of dogs groomed is 7.
Yes, because half of the time, it is possible to groom more than 8.2 and half the time less than 8.2.
No because it is not possible to groom 0.2 of an animal.
What is median ?
The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, the median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.
To support this, we can also calculate the median and mode of the data set to see if they are close to the mean. The median is the middle value of the sorted data set, which is 8 in this case, and the mode is the most common value, which is also 7 and 8 in this data set. So, the mean, median, and mode are all relatively close to each other, indicating that the data is roughly symmetric around the center.
Based on the given data, the mean of 8.2 animals per day can be considered as a reasonable measure of central tendency.
Hence the answer is No because it is not possible to groom 0.2 of an animal.
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Answer:
Yes, because there is no outliers to skew the data.
Step-by-step explanation:
I did the quiz
the product of a 5 and a number plus 11 is 36
Answer:
Step-by-step explanation:
5*x+11=36
5*x=36-11
x=25/5
x=5
5 is the answer
Hey there!
Guide to follow
• Product = multiply/multiplication
• Sum = add/addition
• Quotient = divide/division
• Difference = subtract/subtraction
• Is = equal to/equivalent to
Question reads….
“The product of a 5 and a number plus 11 is 36”
We are not sure what the unknown number is, so we will label it as “w”
Your equation:
5 * w + 11 = 36
SOLVING for the answer to the equation:
5 * w + 11 = 36
5w + 11 = 36
SUBTRACT to both sides
5w + 11 - 11 = 36 - 11
SIMPLIFY it
5w = 25
DIVIDE 5 to BOTH SIDES
5w/5 = 25/5
SIMPLIFY it
w = 25/5
w = 5
Therefore, your unknown number should be: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A headphone set that normally sells for $84 is marked down by 27%. What is the sale price?
Answer:
The answer is $61.32
The community center tracked the usage of cardio equipment to determine how many members used certain
pieces of equipment last weekend. The circle graph shows the results.
Cardio Equipment Used
15%
bike
42%
treadmill
20%
stepper
23%
elliptical
How many of the 500 members that used cardio equipment did NOT use a stepper or treadmill?
members
The members that did not use the stepper and treadmill is 190.
How many people do not use the stepper or treadmill?A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a circle graph is 360 degrees. The percentages add up to 100 percent.
Members that do not use the stepper or treadmill = (100 - percentage that represents the number of people that use the treadmill and stepper) x number of people that used the cardio equipment
= [100 - (42% + 20%)] x 500
(100 - 62%) x 500
38% x 500
= 38/100 x 500 = 190
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Explain how you would find the area of the figure below
Are the triangles similar? Yes or no
HELP PLSS ITS HW:))
Find the length in each isosceles right triangle.
a. Find the leg if the hypotenuse is 102√
Leg =
b. Find the hypotenuse if the leg is 92√
Hypotenuse =
(33 points)
The answer of the given question based on the length in each isosceles right triangle is given below,
What is Isosceles right triangle?An isosceles right triangle is right triangle in which two legs have the same length, making it isosceles triangle, and one of angles is right angle, making it right triangle. an isosceles right triangle, two acute angles are congruent, each measuring 45 degrees, and hypotenuse is equal in length to legs multiplied by √2.
The isosceles right triangle is special case of 45-45-90 triangle, where angles measure 45 degrees, 45 degrees, and 90 degrees, respectively. In 45-45-90 triangle, the hypotenuse is equal in length to legs multiplied by √2.
a. If the hypotenuse is 102√, then each leg is the same length as the hypotenuse divided by √2. Therefore:
Leg = 102√/√2 = 102
b. If one leg is 92√, then the hypotenuse is the length of that leg multiplied by √2. Therefore:
Hypotenuse = 92√ * √2 = 92 * 2 = 184.
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suppose A and B are dependent events. If P(A)= 0.4 and P(B)= 0.9, what is P(AnB)
The value of the probability P(A n B) is 0.36
How to determine the value of the probabilityFrom the question, we have the following parameters that can be used in our computation:
A and B are dependent events.
P(A)= 0.4 and P(B)= 0.9
Using the above as a guide, we have the following:
P(A n B) = P(A) * P(B)
Substitute the known values in the above equation, so, we have the following representation
P(A n B) = 0.4 * 0.9
Evaluate
P(A n B) = 0.36
Hence, the solution is 0.36
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if x=7 is an x-intercept of f(x)=x^3 - 7x^2 +9x-63 write f(x) in factored form
The factored form of the polynomial f(x) = x³ - 7x² + 9x - 63 is,
(x - 7)(x² + 9).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A polynomial f(x) = x³ - 7x² + 9x - 63.
Now, If x = 7 is an x-intercept then one root(cuts the x-axis) is 7 and one factor is (x - 7).
Now, Factoring(long division) f(x) = x³ - 7x² + 9x - 63 by (x - 7) we have,
(x³ - 7x² + 9x - 63) = (x - 7)(x² + 9).
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Nine times the input minus seven is equal to the output. Which of the following equations describes this function?
7x-9=y
9y-7=x
9x-7=y
7y-9=x
An equation that describes this function include the following: C. 9x - 7 = y.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
This ultimately implies that, an input value (x-value) represents the value on the x-axis of a cartesian coordinate while a output value (y-value) represents the value on the y-axis of a cartesian coordinate.
Based on the information provided, an equation that models the situation is given by;
9x - 7 = y.
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What the tape diagram and how to find the equation true.
Answer:
20=2g
g=10
20/2=10
g=10
what is the surface area of the cone?
A shop employs one man and one woman as shop assistants. The man works for 10 hours per day and the woman for 8 hours per day, and their wages per hour are in the ratio 7 = 5 If the woman receives $24 per day, find the man's daily wage.
If the woman receives $24 per day, the amount of the man's daily wage will be $42.
What does mathematics ratio means?In mathematics, a ratio shows how many times one number contains another. Its says how much of one thing there is compared to another thing.
Let m be the man's hourly wage
Let w be the woman's hourly wage
We are told that the woman's daily wage is $24, which we can express in terms of her hourly wage as: w * 8 = $24
Solving for w, we get:
w = $24 / 8
w = $3
We are also told that the ratio of the man's hourly wage to the woman's hourly wage is 7:5, which we can express as: m / w = 7 / 5
Substituting w = $3, we get:
m / 3 = 7 / 5
Solving for m, we get:
m = (7 / 5) * 3
m = $4.20
Therefore, the man's daily wage is:
m * 10 = $4.20 * 10
m = $42
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The volume of the package is 748 cubic inches the equation 4 x11 x h= 748 can be used to find the height in inches of the package what is the surface area in square inches of neelah’s package?
The surface area of Neelah's package is 214 square inches.
What is surface area, and how is it calculated?
The surface area is the measure of the total area that the surface of an object occupies. It is calculated by adding up the areas of each face or surface of the object.
Calculation of the surface area:
To find the surface area of Neelah's package, we first need to determine the dimensions of the package. We are given that the volume of the package is 748 cubic inches and that the equation 4 x 11 x h = 748 can be used to find the height of the package.
Solving for h, we have:
4 x 11 x h = 748
44h = 748
h = 17
Therefore, the dimensions of the package are 4 inches by 11 inches by 17 inches.
To find the surface area of the package, we need to add up the area of each face of the package. The package has six faces, so we calculate the area of each face as follows:
Front and back faces: 4 inches x 17 inches = 68 square inches each
Top and bottom faces: 11 inches x 17 inches = 187 square inches each
Left and right faces: 4 inches x 11 inches = 44 square inches each
Therefore, the total surface area of the package is:
2(68) + 2(187) + 2(44) = 136 + 374 + 88 = 598 square inches
However, this calculation includes the interior of the package, and we are only interested in the external surface area. The top and bottom faces are not part of the external surface area, so we need to subtract them from the total:
598 - 2(187) = 224 square inches
Therefore, the surface area of Neelah's package is 214 square inches.
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graph y ≤ 2 on a number line
graph x < -3 on a number line
Find the value of x.
The value of x is given as follows:
x = 4.8.
What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
In the context of this problem, the parameters are given as follows:
The sides are the x and and 14.The hypotenuse is of x + 10.Applying the Pythagorean Theorem, the value of x is obtained as follows:
x² + 14² = (x + 10)²
x² + 196 = x² + 20x + 100
20x = 96
x = 96/20
x = 4.8.
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A swimming pool is draining at a constant rate. The amount of water in gallons left in the pool after X minutes is represented by the expression shown.
25,000-30x
What does 30 represent in this context?
So, 30 reflects the amount of water that is being removed from the swimming pool per minute in gallons.
How variables figure out an equation?In the provided formula, 25,000 - 30x, x is the amount of time in minutes and 30 is the pace in gallons per minute at which the pool is draining.
The expression is a linear equation of the form y = mx + b, where x is the length of time that has passed and y is the amount of water that is still in the pool.
The slope (m) of the equation in this instance is -30, which means that the pool's water level is dropping at a rate of 30 gallons per minute.
The expression's value decreases as more time passes because the value of x rises. As a result of the water draining out of the pool at a constant rate of 30 gallons per minute, the pool's volume is dropping linearly over time.
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3. Shawn opened a money market account that has a 3.25% annual interest rate,
compounded yearly. He deposits $2,750 into the account each year. How much
interest will the account eam after 25 years?
Answer:
To find the total interest earned by the account after 25 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the total amount after t years
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $2,750, r = 0.0325, n = 1 (compounded yearly), and t = 25. Plugging these values into the formula, we get:
A = 2,750(1 + 0.0325/1)^(1*25)
A = 2,750(1.0325)^25
A = 2,750(2.0154)
A = $5,534.85
To find the total interest earned, we need to subtract the initial deposit from the total amount:
Interest = $5,534.85 - ($2,750 x 25)
Interest = $5,534.85 - $68,750
Interest = $-63,215.15
This result indicates that the account holder would have lost money over the 25-year period, as the interest earned was not enough to offset the annual deposits. However, it's worth noting that this calculation assumes no additional deposits or withdrawals were made during the 25 years. If the account holder had made additional deposits or withdrawals, the total interest earned would be different.
Which of the following explains why 23(x+3)=23(x−6) has no solution?
Answer:
Step-by-step explanation:
We can expand and simplify the equation as follows:
23(x+3) = 23(x-6)
23x + 69 = 23x - 138
69 = -138
The last equation is clearly false, which means there is no value of x that can satisfy the original equation.
This is an example of a contradiction, where the equation leads to an impossible statement. Therefore, the equation has no solution.
The area of AQRS is 14 square feet. What is the area, in square feet, of the image of AQRS after dilation with scale factor 2?
The area of the image of AQRS after dilation with scale factor 2 is 56 square feet.
What is the area, in square feet, of the image of AQRS after dilation with scale factor 2?Given the data in the question;
Area of AQRS = 14 square feetArea of image AQRS after dilation with scale factor 2 ?If we dilate a figure with a scale factor of 2, the area of the dilated figure will be 2² = 4 times the area of the original figure.
So, to find the area of the image of AQRS after dilation with scale factor 2, we just need to multiply the area of AQRS by 4:
Area of dilated image = 4 × Area of AQRS
Area of dilated image = 4 × 14
Area of dilated image = 56 square feet
Therefore, the area of the image of AQRS is 56 square feet.
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