Answer:
A 5 StartRoot 3 EndRoot units
Step-by-step explanation:
Answer:
5√3 units
Step-by-step explanation:
edgeee
At a local pizza shop, large pizzas cost $14.50 and small pizzas cost $9.00. On Thursday, the number of large pizzas sold was 3 less than twice the number of small pizzas sold. The total value of all pizzas sold was $640.50. How many of each type of pizza did the pizza shop sell?
Answer:
Small pizzas = 21
Large pizzas = 39
Step-by-step explanation:
The number of small pizzas sold be x
So, the number of large pizzas sold be 2x - 3
And the total value is $640.504
Now the equation would be
$14.50x + $9 × (2x - 3) = $640.50
$14.50x + 18x - $27 = $640.50
$32.50 = $640.50 + $27
$32.50x = $667.50
x = 21
Now the large pizzas is
= 2 × 21 - 3
= 39
The same is to be considered
Solve 3x - 6 > 8 using inverse operations
Answer:
x > 14/3
Step-by-step explanation:
3x > 8 + 6
3x > 14
x > 14/3
Answer:
x > 14/3
Step-by-step explanation:
\(3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}\)
\(\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\)
\(3x-6+6 > 8+6\)
\(\mathrm{Simplify}\)
\(3x > 14\)
\(\mathrm{Divide\:both\:sides\:by\:}3\)
\(\frac{3x}{3} > \frac{14}{3}\)
\(\mathrm{Simplify}\)
\(x > \frac{14}{3}\)
[RevyBreeze]
What is the circumference of the circle with a radius of 6.5 meters? Approximate using π = 3.14.
40.82 meters
20.41 meters
9.64 meters
4.33 meters
The circumference of the circle.
The formula:
\(\huge\begin{array}{ccc}C=2\pi r\end{array}\)
\(r\) - radius
SOLUTION:We have:
\(r=6.5m\)
Substitute:
\(C=2\cdot6.5m\cdot\pi=13\pi m\)
Use: \(\pi\approx3.14\)
\(C\approx13m\cdot3.14=40.82m\)
Answer:40.82 meters
The circumference of the circle.
The formula:
- radius
SOLUTION:
We have:
Substitute:
Use:
Step-by-step explanation:
Give bro above me the good stuff
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
if the average correlation among the items on an anxiety scale is r = .95, we can say that the scale has
Answer:
a strong and almost perfect positive linear correlation.
Evaluate the following expression:
(3.4 x 10° + 2.61 x 10) 1.6 x 104
Write your final answer in scientific notation
A) 5.856 x 107
B) 58.5 x 106
C) 58560000
D) 0.5856 x 108
M
Answer:
Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury, and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury were heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.
Step-by-step explanation:
ava's younger cousins are away at summer camp. she went to the post office and bought 3 flat-rate shipping boxes to send a care package to each of them. she also bought an $11 book of stamps. ava spent a total of $34.70. which equation can you use to find p, how much the post office charged for each shipping box? awesome!
The equation that can be used to find the cost of shipping boxes is: 3p + 11 = 34.70. By solving the equation, we get p = $7.23.
The problem is about finding the cost of shipping boxes. Ava purchased 3 flat-rate shipping boxes, and a book of stamps, spending a total of $34.70. The problem asks to find out how much the post office charged for each shipping box, given that the cost of a book of stamps is $11.
To find the cost of a single flat-rate shipping box, let's assume that the post office charged p dollars for each shipping box. Therefore, the cost of three shipping boxes will be 3p dollars.
Along with this, Ava also bought a book of stamps which cost her $11.
So, the total amount she spent can be written as the sum of the cost of the shipping boxes and the cost of the book of stamps. This is given by:
3p + 11 = 34.70
Solving for p, we get:
p = (34.70 - 11)/3p = $7.23 (approx)
Therefore, each shipping box costs $7.23.
Learn more about algebraic equations visit:
brainly.com/question/29131718
#SPJ11
Which ordered pair is a solution of this
equation?
-3x - 7y = 4
Click on the correct answer.
(2,-5)
(-6,2)
(2,-6)
(-5,2)
when inserted to the equation it equals 4
(-3×-6)-(7×2)=4
answer =(-6,2)
please can you tell me if 7 question answer is right
In the image above you have the distribution of the 16 seats in the van (in pairs). You can identify the number of pairs (two seats) in red.
Then, there are 8 pair of seatsSuav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19^{\circ}
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.
The ramp will rise from the ground at its highest end to a height of approximately 8.56 inches. Rounded to the nearest hundredth of an inch, this is 8.56 inches.
What is fiberboard?Fiberboard is a type of engineered wood product that is made by combining wood fibers or other plant-based fibers with a binder or adhesive, and then compressing and heating the mixture to create a dense, flat panel
According to question:We can use trigonometry to solve this problem. Let's call the height of the ramp "h" and the length of the base "b". We want to find "h".
First, we need to find "b". We know that the fiberboard is 27 inches long, so the base of the ramp will be the length of the hypotenuse of a right triangle. Using trigonometry, we can find:
b = 27 * cos(19°) ≈ 25.68 inches
Next, we can use trigonometry again to find "h". We know that the angle of elevation from the ground is 19°, so the angle of depression from the ramp to the ground is also 19°. This means we have a right triangle with the height "h", the base "b", and an angle of 19°. Using trigonometry, we can find:
tan(19°) = h/b
Solving for "h", we get:
h = b * tan(19°) ≈ 8.56 inches
Therefore, the ramp will rise from the ground at its highest end to a height of approximately 8.56 inches. Rounded to the nearest hundredth of an inch, this is 8.56 inches.
To know more about fiberboard visit:
https://brainly.com/question/29157662
#SPJ1
A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds. Calculate this animal’s weight in kilograms and explain your reasoning.
Fido the Labrador weighs 88 pounds.
The required weight of fido the labrador is 40 kilogram.
What is relation between kilogram and pound?
kilogram is the fundamental unit used to measure weight ans pound is used in UK to measure weight of any object.
As we have given in 10 kilogram, there are 22 pounds. So, one kilogram is equal to 2.2 pound.
According to given data in the question:We have to find the weight of fido the labrador in kilogram
here,weight in pound is 88
we know that one pound contain 1/2.2 kilogram
So, weight of 88 pound in kilogram = (88)1/2.2
weight in kilogram = 40 kilograms.
Hence, the required answer is 40 kilogram.
TO know more about weight visit:
brainly.com/question/1235091
#SPJ9
for a bill totalling $5.65, the cashier received 25 coins consisting of nickels and quarters. how many nickels did the cashier receive?
Answer: 3 Nickles.
Step-by-step explanation:
22 quarters adds up to $5.50
The remaining 15c is accounted by the last 3 coins, which are nickles.
In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
The area of the polygon is solved to be 1044 squared cm
How to find the are of the c]polygonThe area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas
Section 1 has dimensions:
length * width = 46 * 14 = 644
section 2 has dimensions:
length = 46 - 21 = 25
width = 30 - 14 = 16
Area = 25 * 16 = 400
Area of the composite figure
section 1 + section 2
= 644 + 400
= 1044 squared cm
Learn more about area at
https://brainly.com/question/2607596
#SPJ1
Peter and jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3. Whose answer makes sense? Whose answer is nonsense?
Peter's work
2×(n+6)+3
2×n+(6+3)
2xn+9
2n+9
Jade's work
2×(n+6)+3
(2×n)+(2×6)+3
2n+(12+3)
2n+15
Peter successfully amount multiplied 2 by (n+6) and then added 3, therefore his work makes sense. Jade's work is likewise reasonable because she added 3 after correctly multiplying 2 by n and 6.
Peter successfully multiplied 2 by (n+6) and then added 3, therefore his work makes sense. By combining the terms, he was able to make his expression more concise, yielding 2n+9. Jade's work is likewise reasonable because she added 3 after correctly multiplying 2 by n and 6.By multiplying each term separately, she was able to simplify her expression to 2n+15. Both answers are equivalent and make sense mathematically, but Peter's expression is simpler and easier to understand. This demonstrates the importance of using the correct order of operations when simplifying expressions.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
quantitative techniques
Answer:
Quantitative methods emphasize objective measurements and the statistical, mathematical, or numerical analysis of data collected through polls, questionnaires, and surveys, or by manipulating pre-existing statistical data using computational techniques.
anna charges $45 for the bracelets she sells at her boutique. it cost her $16 to make the bracelets. which is closest to the percent markup cost
The closest percent markup cost to the bracelets Anna sells is 181%.
To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.
The selling price of the bracelets is $45, and the cost price is $16.
Markup = Selling Price - Cost Price
= $45 - $16
= $29
Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:
Percent Markup Cost = (Markup / Cost Price) \(\times\) 100
= ($29 / $16) \(\times\) 100
= 181.25
Rounded to the nearest whole number, the percent markup cost is approximately 181%.
Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.
This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.
The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.
For similar question on selling price.
https://brainly.com/question/28189871
#SPJ11
41. ABCD is a parallelogram. If M_ABC = 64, then?__. The diagram is not to scale.mZCDA=А AB.DСA. 64B. 116C. 126D. 74
Suppose that the given parallelogram is as follows:
Since opposite angles of a parallelogram are congruent, ∠CDA or ∠D must be congruent to ∠ABC or ∠B. This means that the measure of the angles must be equal.
Therefore, the measure of ∠CDA must also be 64°.
Jason is 145.7 cm tall. What is Jason's height as a mixed number
A star rises directly in the East. Roughly how many hours out of a 24-hour day is it above the horizon
Given statement solution :- The star would cross the observer's meridian (the imaginary line running from the North celestial pole through the observer's zenith to the South celestial pole) exactly halfway between rising and setting. As the Earth rotates, this would take roughly 12 hours to complete.
The number of hours a star is above the horizon depends on several factors, including the star's declination (angular distance north or south of the celestial equator), the observer's latitude, and the time of year. However, assuming you are referring to an equatorial star (one with a declination of 0 degrees) and you are at the equator (latitude 0 degrees), such that the star rises directly in the East and sets directly in the West, it would be above the horizon for approximately 12 hours out of a 24-hour day.
This is because, in this scenario, the star would cross the observer's meridian (the imaginary line running from the North celestial pole through the observer's zenith to the South celestial pole) exactly halfway between rising and setting. As the Earth rotates, this would take roughly 12 hours to complete.
For such more questions on Star Hours Above Horizon
https://brainly.com/question/31614974
#SPJ11
LESSON 1 SESSION 2The photo shows a small coin. The scale from the actual coin to the photo is8 mm to 2 cm. In the photo, the distance across the coin is 3.25 cm. What is thedistance across the actual coin? Show your work.UTION3.25 cm
The dimensions of the actual coin and the photo have all the same scale, therefore, the ratio must be the same. If we call the distance across the actual coin as x, we have:
\(\frac{8mm}{2cm}=\frac{x}{3.25cm}\)Solving for x:
\(x=\frac{4mm}{cm}\times3.25cm=13mm\)The actual distance across the coin is 13 mm.
Malik bought chargers that are shaped like regular octagons. If the chargers have the dimensions shown below, what is the area of one charger? 6-7th grade study island. looking for an answer. HELP!!
The area of one charger is given as follows:
164 squared inches.
How to obtain the area of a charger?From the image given at the end of the answer, the composition of the charger is given as follows:
One square of side length of 6 inches.Four rectangles of dimensions 6 inches and 4 inches.Four right rectangles with two sides with lengths 4 inches.The area of a square of side length s is given as follows:
As = s².
The area of a rectangle of length l and width w is given as follows:
Ar = l x w.
The area of a right triangles of side lengths a and b is given as follows:
At = 0.5 x a x b.
Hence the total area of the charger in this problem is calculated as follows:
Ac = 6² + 4 x 4 x 6 + 4 x 0.5 x 4 x 4
Ac = 164 squared inches.
Missing InformationThe dimensions of a charger are given by the image shown at the end of the answer.
More can be learned about the area of a figure at https://brainly.com/question/25292087
#SPJ1
Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 1 -4 -2 2 8 5
Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip
Answer:
what is your question
Step-by-step explanation:
b) In a certain group of 200 persons, 110 can speak Nepali, 85 can speak Maithili and 60 can speak both the languages. Find, (i) how many of them can talk in either of these languages? (ii) how many of them can talk in neither of these languages?
Answer:
(i) 135, (ii) 65-----------------------
Given:
Total number in the group - 200 persons,Nepali speakers - 110,Maithili speakers - 85,Both - 60.(i) We know 60 out of 110 can speak both languages, so as 60 out of 85. The number 60 is counted twice if we add them together.
Find the number of those speak either language:
Either = sum of each - bothEither = 110 + 85 - 60 = 135(ii) Find the number of thise who can talk neither of these languages:
Neither = total - eitherNeither = 200 - 135 = 65Jump to level 1 Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 6 randomly selected students are 63, 72, 65, 73, 60 and 62. ≈ = 65.5 # Margin of error at 99% confidence level = Ex: 1.23 99% confidence interval [Ex: 12.34 Ex: 12.34] - [smaller value, larger value] Check Try again 18 Feedback?
The required answer is [61.77, 69.23].
Given: Mean height of all 9th grade students at one high school is estimated as ≈65.5 Population standard deviation is σ = 3 inches. Number of samples n = 6Margin of error at 99% confidence level = 1.23Margin of error = E = z(σ/√n)Now, z = inv Norm(0.995) (as it is 99% confidence interval, α=0.01 and 1-α=0.99)⇒ inv Norm(0.995) = 2.58∴ E = 2.58(3/√6) = 3.73∴ The margin of error at the 99% confidence level is 3.73 inches .
Confidence interval = [sample mean - E, sample mean + E]=[65.5 - 3.73, 65.5 + 3.73] = [61.77, 69.23]
∴ The 99% confidence interval for the population mean height of all 9th-grade students at that high school is [61.77, 69.23].
Know more about confidence interval here:
https://brainly.com/question/32546207
#SPJ11
PLS HELP ! MIN ONLY I NEED NELP I NEED IT FAST PLSSSS PLS PLS PLS PLS PLSP PLS PlSP PLS LPLS
Answer:
Please open the attachment below to find the work and solution to the problem.
Let G be a finite abelian group and let a,b∈G. Prove that H={a
i
b
j
:i,j∈Z} is a subgroup of G.
H satisfies closure, identity, and inverses, it is a subgroup of G.
To prove that H={a^i * b^j : i,j∈Z} is a subgroup of G, we need to show that it satisfies the three conditions of being a subgroup: closure, identity, and inverses.
1. Closure: Take two elements h1 = a^i1 * b^j1 and h2 = a^i2 * b^j2 from H. We need to show that their product h1 * h2 is also in H.
h1 * h2 = (a^i1 * b^j1) * (a^i2 * b^j2)
= a^(i1+i2) * b^(j1+j2)
Since i1+i2 and j1+j2 are integers, we can conclude that h1 * h2 is an element of H.
2. Identity: The identity element e of G is also in H because e = a^0 * b^0.
3. Inverses: For any element h = a^i * b^j in H, its inverse h^(-1) = a^(-i) * b^(-j) is also in H since -i and -j are integers.
Learn more about subgroup
https://brainly.com/question/30865357
#SPJ11
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
___ milligrams
Consider the data set that is summarized in the R Output below. leaf unit: 1 n:13 1 1 0 2 2 7 2 3 4 4 35 4 5 أي أدا mm мол (5) 4 5 33478 6 2677 (a) Find the values of Q1 and 23. (b) Find the median (c) Find the adjacent values. (Note: See this example for the relevant definitions and an example.) (d) Which of the following is a correct modified boxplot for this data set?
(a) The values of Q1 as 2 and Q3 as 35.
(b) The dataset was arranged in ascending order, and since the total number of observations (n) is odd (13), the median was found to be the middle value, which is 5.
(c) The upper adjacent value was determined by adding 1.5 times the IQR to Q3, resulting in 87.5.
(d) The box plot of the data is illustrated below.
(a) Finding Q1 and Q3:
To determine Q1 and Q3 from the given dataset, we can start by arranging the data in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.
Next, we count the total number of observations (n) which is 13 in this case. We use the following formulas to calculate the position of Q1 and Q3:
Q1 = (1 * n) / 4
Q3 = (3 * n) / 4
Substituting the value of n into the formulas:
Q1 = (1 * 13) / 4 = 3.25 (approximately)
Q3 = (3 * 13) / 4 = 9.75 (approximately)
Now, we need to identify the values in the dataset that correspond to these positions. For Q1, we take the value at the position immediately below 3.25, which is 2. For Q3, we take the value at the position immediately below 9.75, which is 35.
Therefore, the values of Q1 and Q3 for the given dataset are 2 and 35, respectively.
(b) Finding the Median:
The median represents the middle value of a dataset when it is arranged in ascending or descending order. If the dataset has an odd number of observations, the median is the middle value itself. If the dataset has an even number of observations, the median is the average of the two middle values.
Arranging the given dataset in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.
Since the total number of observations (n) is odd (13), the median will be the middle value. In this case, the middle value is the 7th observation, which is 5.
Therefore, the median for the given dataset is 5.
(c) Finding the Adjacent Values:
Adjacent values, also known as whiskers in a boxplot, indicate the minimum and maximum values within a certain range. The range is determined using the interquartile range (IQR), which is the difference between Q3 and Q1.
For the given dataset, the IQR is calculated as follows:
IQR = Q3 - Q1 = 35 - 2 = 33
The adjacent values are determined by extending the whiskers 1.5 times the IQR below Q1 and above Q3.
Lower adjacent value = Q1 - 1.5 * IQR
Upper adjacent value = Q3 + 1.5 * IQR
Substituting the values:
Lower adjacent value = 2 - 1.5 * 33 = -47.5
Upper adjacent value = 35 + 1.5 * 33 = 87.5
Therefore, the adjacent values for the given dataset are -47.5 and 87.5.
(d) Determining the Correct Modified Boxplot:
To determine the correct modified boxplot, we need additional information or options to compare against the given dataset. Unfortunately, the options are not provided in your question. Please provide the options or any additional information related to the modified boxplot so that I can assist you further in choosing the correct one.
Remember, the boxplot is a graphical representation of the dataset using its quartiles, median, adjacent values, and outliers, if any. It provides a visual summary of the distribution and identifies any potential outliers or extreme values.
To know more about median here
https://brainly.com/question/30891252
#SPJ4
Solve the following:
4x-1 divided by 2= x+7
a)
b)
3x + 2 = 2x+13 divided by 3
The equation's answer is x = 7.5. 4x - 1 2 = x + 7.
x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.
a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:
1: Distribute the division operation to the terms inside the parentheses.
(4x - 1) ÷ 2 = x + 7
2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.
(4x - 1) ÷ 2 = x + 7
4x - 1 = 2(x + 7)
3: Distribute 2 to terms inside the parentheses.
4x - 1 = 2x + 14
4: Subtract 2x from both sides of the equation to isolate the x term on one side.
4x - 1 - 2x = 2x + 14 - 2x
2x - 1 = 14
5: Add 1 to both sides of the equation to isolate the x term.
2x - 1 + 1 = 14 + 1
2x = 15
6: Divide both sides of the equation by 2 to solve for x.
(2x) ÷ 2 = 15 ÷ 2
x = 7.5
Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.
b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:
1: Distribute the division operation to the terms inside the parentheses.
3x + 2 = (2x + 13) ÷ 3
2: Multiply both sides of the equation by 3 to remove the division operation.
3(3x + 2) = 3((2x + 13) ÷ 3)
9x + 6 = 2x + 13
3: Subtract 2x from both sides of the equation to isolate the x term.
9x + 6 - 2x = 2x + 13 - 2x
7x + 6 = 13
4: Subtract 6 from both sides of the equation.
7x + 6 - 6 = 13 - 6
7x = 7
5: Divide both sides of the equation by 7 to solve for x.
(7x) ÷ 7 = 7 ÷ 7
x = 1
Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.
For more such questions on equation's, click on:
https://brainly.com/question/17145398
#SPJ8