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Suppose that hot dog come in packs of 10 and buns come in packs of 6. Alonzo bought the same number of hot dogs as buns. It was the least number of each
for which this was possible.
Answer the following questions.
How many packs of hot dogs did he buy?
1 packs
How many packs of buns did he buy?
packs
How many hot dogs did he buy?
hot dogs
Four runners are training for long races. Noah Ran 5.123 miles. Andre ran 6.34 miles. Jada ran 7.1 miles. Diego ran 8 miles.
What is the total running distance of the four runners?
Julie is rolling two trick number cubes she got with a magic set she purchased. Both of her number cubes have the number 5 on three of the faces, 10 on two of the faces, and 15 on one of the faces. Which of the following tables is a probability model for the sum of the two number cubes?
A 2-column table with 3 rows. Column 1 is labeled Sum with entries 5, 10, 15. Column 2 is labeled probability with entries one-third, one-third, one-third.
A 2-column table with 3 rows. Column 1 is labeled Sum with entries 5, 10, 15. Column 2 is labeled probability with entries one-half, one-third, one-sixth.
A 2-column table with 3 rows. Column 1 is labeled Sum with entries 10, 20, 30. Column 2 is labeled probability with entries one-half, one-third, one-sixth.
A 2-column table with 3 rows. Column 1 is labeled Sum with entries 10, 15, 20. Column 2 is labeled probability with entries one-fourth, one-third, StartFraction 5 Over 18 EndFraction.
A 2-column table with 3 rows. Column 1 is labeled Sum with entries 10, 15, 20. Column 2 is labeled probability with entries one-fifth, one-fifth, one-fifth.
The probability of rolling two trick number cubes with the numbers 5, 10, and 15 on them can be calculated using the formula P(A) = n(A) / n(S), where P(A) is the probability of event A, n(A) is the number of favorable outcomes, and n(S) is the total number of possible outcomes.
In this case, the total number of possible outcomes is 6, since there are six possible combinations of two number cubes. The number of favorable outcomes for a sum of 10 is 2, since there are two possible combinations (5 and 5, and 10 and 15). Therefore, the probability of rolling a sum of 10 is 2/6, or one-third. The probability of rolling a sum of 15 is also one-third, since there is only one possible combination (10 and 5). The probability of rolling a sum of 20 is one-sixth, since there is only one possible combination (10 and 10). Therefore, the probability model for the sum of the two number cubes is a 2-column table with 3 rows. Column 1 is labeled Sum with entries 5, 10, 15. Column 2 is labeled probability with entries one-half, one-third, one-sixth.
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Which fraction is greater 2/5 or 4/10
They are equal. 2/5 is 4/10.
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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I was doing math then I got this question wrong.
Why is C not on the y-axis, and why is b on y-axis.
The options that correctly show the points of the given graph are;
Option 4: A is on the y-axis
Option 5; D is on the x-axis
How to interpret the axis of a graph?Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.
Now, from the given graph, we see the following;
A is on the y-axis
B is at the origin
C is at the point (1, 2)
D is on the x-axis
Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.
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A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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What is the value of 2 in 304.72 in decimal form?
Answer: 0.02
Step-by-step explanation: hundreds is 0.0 and its 2 so it would be 0.02
Using place value chart value of \(2\) in the \(304.72\) is quals to \(0.02\) (decimal form).
What is place value?
" Place value is defined as the value represented by each digit of a number on the basis of its position on a number."
According to the question,
Given number ,
\(304.72\)
Place value of all digits in \(304.72\)
Place value of \(4 = ones\)
Place value of \(0 = tens\)
Place value of \(3= hundreds\)
Place value of \(7= tenth\)
Place value of \(2 = hundredth\)
\(= \frac{2}{100}\)
\(=0.02\) (decimal form)
Hence, value of \(2\) in the \(304.72\) is quals to \(0.02\) (decimal form).
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Find the measurement of KL (round your answer to the nearest one hundredth. Which theorem did you use?
Using the Pythagorean theorem:
KL = sqrt( 8^2 + 5^2)
KL = sqrt( 64 + 25)
KL = sqrt(89)
KL = 9.43
The answer is 9.43
The amount of time it takes to complete a reading assignment might be a
function of which of the following?
Answer:
amount is a function of what means the amount is dependent
PLEASE HELP QUICK!!!Suppose the bill for dinner is $16.70, if you want to give a 10% tip what will be the total?
Answer:
$18.37
Step-by-step explanation:
$16.70 × 1.10 = $18.37
or
$16.70 × 0.10 = $1.67
$16.70 + 1.67 = $18.37
A podcast host is curious how her listeners like the show. She decides to poll the next 100 listeners who send her fan emails. 80 out of 90 listeners polled said they liked it. The result may lead to
-volunteer vias
-response bias
-selection bias -non response bias
The probability result may lead to selection bias, as the podcast host is only polling her next 100 fans who send emails, and not all of her listeners.
The podcast host is polling the next 100 listeners who send her fan emails in order to find out how they like the show. The results of the poll show that 80 out of 90 listeners polled said they liked it. This result may lead to selection bias, as the podcast host is only polling her next 100 fans who send emails, and not all of her listeners. This means that the results of the poll may not be reflective of the opinion of all of the podcast host's listeners. Furthermore, the results may be influenced by the volunteer bias, as the respondents may have volunteered to take part in the poll because they already liked the show and wanted to show their support. Additionally, the results may be affected by non-response bias, as those who chose not to take part in the poll may have different opinions than those who did.
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Explain how estimating the quotient helps you place the first
digit in the quotient of a division problem.
Step-by-step explanation:
look at the picture and if you still need help let me know or if this doenst help then well im sorry lol
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
The statements that are true are:
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Options A, B, D, E, and F.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Clayton could use the relationship (x, y) → (y, x) to find the points of the image.
This is the y = x reflection rule.
This is true.
Clayton could negate both the x and y values in the points to find the points of the image.
Reflection of (x, y) along the x-axis and y-axis consecutively will give us
(-x, -y).
This is true.
C’ will remain in the same location as C because it is on the line of reflection.
This is not true.
C’ will move because all points move in a reflection.
This is true.
The image and the pre-image will be congruent triangles.
This is true.
The image and pre-image will not have the same orientation because reflections flip figures.
This is true.
Thus,
All statements are true except the statement:
C’ will remain in the same location as C because it is on the line of reflection.
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7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.
21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23
Answer:
Oh boy this is a lot of work
Step-by-step explanation:
So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.
Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!Hope this helped.
A clothing eCommerce company has an Average Order Value of USD 65. It costs the company USD 35 to produce the clothes in the average order and USD 15 to ship it to the customer. What is the Average Order's Gross Profit?
USD 65
USD 30
USD 15
USD 50
The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;
⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit
⇒ Gross Profit = USD 65 - USD 35 - USD 15
⇒ Gross Profit = USD 15
Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
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2
Select all the correct answers.
HELP PLS! ASAP
Which expressions are equivalent to this exponential expression?
Answer:
A and C
Step-by-step explanation:
Write the fraction below as a sum or difference.
11x + 5
6
The fraction in form of sum or difference will be;
⇒ 11/6x + 5/6
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ (11x + 5) / 6
Now,
Since, The fraction is,
⇒ (11x + 5) / 6
It can be written as;
⇒ (11x + 5) / 6
⇒ 11x/6 + 5/6
Thus, The fraction is written as;
⇒ 11/6x + 5/6
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Greg bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $300 more than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year. The total finance charges for one year were $365. How much did each computer cost before finance charges?Desktop: $Laptop: $
Greg bought a desktop computer and a laptop computer.
Before finance charges, the laptop cost $300 more than the desktop.
Let Desktop cost be x
Then Laptop cost be x + 300
He paid for the computers using two different financing plans.
For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year.
Interest on desktop = 0.09x
Interest on laptop = 0.07 (x+300)
The total finance charges for one year were $365:
\(\begin{gathered} \text{Interest}+\text{Interest = }Interest \\ 0.09x+0.07(x+300)=365 \\ 0.09x+0.07x+21=365 \\ \text{collect like terms} \\ 0.16x=365-21 \\ 0.16x=344 \\ x=2150 \end{gathered}\)Therefore the cost of the desktop = $2150
and the cost of the laptop = $2150+300 = $2450
Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
NOT ARITHMETIC SEQUENCE
Answer:
its ok
Step-by-step explanation:
4x−1<11 what is the answer
Answer:
Add 1 to both sides. Add 11 and 1 to get 12. Divide both sides by 4. Divide 12 by 4 to get 3.
Can someone help me please???
Simplify.
(x^5)^4
Answer:
x^20 please mark me brainliest
Step-by-step explanation:
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answer:
The answer is below
Step-by-step explanation:
a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
Let x be the length of the hypotenuse, using Pythagoras:
x² = 25² + 25²
x² = 1250
x = 35 (to the nearest whole number)
b) Using sine rule:
\(\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)\)
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height
Answer:
so lets get the cones volume first the formula for a cone is V=πr2/3
so V=πr2h
3=π·22·3
3≈12.56637
and then the height of the cylinder is 4
Step-by-step explanation:
The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.
Answer:
gradient = -1
Step-by-step explanation:
gradient = y2-y1/x2-x1
gradient = -8--2/3--3
gradient = -8+2/3+3
gradient = - 6/6
gradient = -1
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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