The fewest number of packages Rhonda needs to buy to have at least 1 juice box per guest is 288, based on mathematical operations.
What are mathematical operations?Mathematical operations involve the use of algebraic operands and operators to determine mathematical values.
The basic mathematical operations include addition, multiplication, subtraction, and division.
1 dozen = 12
The total number of friends Rhonda invites to the picnic = 36 (3 x 12)
The number of packages in a juice box = 8 packages
The total number of packages to buy = 288 packages
The number of juice boxes to buy = 36 boxes
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A train leaves Station A traveling west at 60 miles per hour for 7 hours, and then continues to travel west on the same track for 3 hours at 55 miles per hour, where it stops at Station B. How far is Station A from Station B?
Answer: 585 miles
Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= 585
60 miles per hour x 7 hours = 420 miles
55 miles per hour x 3 hours = 165 miles
Total miles = 420 + 165 = 585 miles
Pls help I need a good grade
Show your work for both of the questions only do 8 and 9
Answer:
CaN't SeE ThE LeTtErS...
Step-by-step explanation:
Answer:
8) 55 + 8.5x = 123
subtract 55 from both sides
8.5x = 68
x = 8 days
9) 6.75 + 1.25x = 31.75
subtract 6.75 on both sides
1.25x = 25
x = 20 refills
Ben bought 4 volleyballs and 5 footballs for $352.65 altogether. If Ben’s brother bought 2 volleyballs and 4 footballs for $249.12 altogether, what was the price of each football?
Answer:
$48.53
Step-by-step explanation:
The purchases can be written in equation form as ...
4v +5f = 352.65
2v +4f = 249.12
Doubling the second equation and subtracting the first gives ...
2(2v +4f) -(4v +5f) = 2(249.12) -(352.65)
3f = 145.59 . . . . simplify
f = 48.53 . . . . . . divide by 3
The price of each football was $48.53.
given 5x-y=16, solve for y
Answer: y = 5x - 16
Step-by-step explanation:
Add y to both sides of the equation:
5x - y + y = 16 + y
5x = 16 + y
Subtract 16 from both sides:
5x - 16 = 16 + y - 16
5x - 16 = y
Rearrange:
y = 5x - 16
Which expression is the least absolute value ?
|-28|
|-1|
|6|
|15|
Answer:
|-28|
Step-by-step explanation:
-28 is the least value in the expression given
A new car is purchased for $33, 000 and over time its value depreciates by one half
every 4 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $9, 300?
The value of the car is $30675.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here, we have
Given: A new car is purchased for $33, 000 and over time its value depreciates by one-half every 4 years.
We have to find the value of the car to be $9, 300.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (4, $9,300). Then we have
Let y be the value of the car and x be the number of years. Then we have
y - 33000 = (-9300/4)(x-0)
y + 2325x = 33000
Then the value of the car of a year after it was purchased, to the nearest hundred dollars will be
y + 2325(1) = 33000
y = 33000 - 2325
y = 30675
Hence, the value of the car is $30675.
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Darryl uses a 56N force to push a boulder off a cliff that is 425m tall. What is the work done on the boulder? Show your work.
Which of these are line(s) of symmetry?
A. Neither line
B. Only the solid line
C. Only the dashed line
OD. Both lines
Answer:
d:both lines
Step-by-step explanation:
.........
Let f andgbe functions that are differentiable for all real numbers, with gfz) # 0for a0.f()fl)0 g)f()If lim f(z) = lim g(z) = 0 and lim0exists, then lim is ()0 g()+0(r)Bd(r))g()-fla)d ()(f))A.OC.limz0 g(r)DE.nonexistent
The resulting differential function is f'(x) = 2x and g'(x) = 2x² + 1
The term function in statistics refers the expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Here we have given that let f and g be functions that are differentiable for all real numbers.
And we have to find the solution for the function.
Let us consider f(x) = x² and g(x) = x³ + 1
Then the differentiation function is calculated as,
As per the law of differentiation, it can be written like the following,
=> f'(x) = x² dx
Then it can be written as the following after differentiation
=> f'(x) = 2x
Similarly, the g(x) is differentiated like the following,
=> g'(x) = x³ + 1 dx
=> g'(x) = 2x² + 1
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1. It takes 45 minutes for two people to clean six identical rooms. How
long would it take five people to clean 20 of the same rooms at the same
rate?
Answer:
To clean 20 identical rooms 5 people will take 1 hour .
Hope It Helps You.
Graph the given functions, f and g, in the same rectangular coordinate system. Use the integer values of x given to the right of the functions to obtain ordered pairs. Describe how the graph of g is related to the graph of f
Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.
How the graphs are related?
Here we have:
\(f(x) = \sqrt{x}\)
first we want to evaluate it in x = 0, 1, 4, 9.
Doing that we get:
\(f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3\)
The other function is:
\(g(x) = \sqrt{x} -3\)
Evaluating in the same values of x.
\(g(0) = \sqrt{0} -3 = -3\\g(1) = \sqrt{1} -3 = -2\\g(4) = \sqrt{4} -3 = -1\\g(9) = \sqrt{9} -3 = 0\)
Then we can see that for all the values of x, g(x) is 3 units less than f(x).
Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.
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A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answer:
Step-by-step explanation:
Its 4.51
PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...
Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
pls answer it pls thanks
Answer:
1072.3
Step-by-step explanation:
V=(2/3)πr³ is the formula.
-hope it helps
Answer:
1072.33 cm³
Step-by-step explanation:
The volume of a hemisphere = (2/3)πr³ cubic units ...........where is is radius.
here given radius, r = 8 cm
so using the hemisphere's formula = (2/3) * π * 8³
=(2/3) * π * 8 * 8 * 8
= 1072.33 cm³
pppppppjnjk hieffhuie pleaase help
Answer:
B
Step-by-step explanation:
I'm not sure if it's right but you can try it
Answer:
answer: 30 in sq
Hope that helps!
work out the area of the trapezium abde
Step-by-step explanation:
you need to attach a photo to show us what this looks like
Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,0)
Point
(3,18)
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)
plsssssssssssssssssssss help me i need to get these right so i can play roblo.x pls tell me how you got the answer
Answer:
675 mm²
Step-by-step explanation:
base = 15 x 15 = 225 mm²
4 sides = 4(15)(15)(0.5) = 450 mm²
450 + 225 = 675 mm²
Work out 2 6/9 − 1 3/9 Give your answer as a mixed number in its simplest form
Answer:
7/3
Step-by-step explanation:
After completing this activity, what is your initial explanation of how the populations of predators and prey are related?
Step-by-step explanation:
prey and predators depends in each other .in the absence of one another is useless or meaning less. predators is responsible for population of prey.if less predators more prey and more predators means less prey.
Answer:
they both eat food
Step-by-step explanation:
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Joe’s Car service charges $5 to pick up passengers, plus 1.25 for each mile. Write an equation for the function that relates to the total cost of a trip to the distance. Also identify the slope and the y-intercept of the function.
Answer:
Initial fee charged = $5
Fee charged for a mile = $1.25
No. of miles traveled = x
Total fee charged = 5 + 1.25x
Slope = 1.25
y-intercept = 5
I do not get it and that is why
For a survey based on 2,700 adults, what is the approximate margin of error? (round your answer to the nearest thousandth.)
The approximate margin of error for a survey based on 2,700 adults, when rounded to nearest thousand is 0.021.
In statistical surveys, the margin of error is a measure of the expected amount of random sampling error that is present in a survey's results. It is a range of values that is likely to contain the true value of the population parameter being estimated, with a certain degree of confidence.
In other words, the margin of error is the amount by which the sample estimate may differ from the true value of the population parameter.
The margin of error is affected by several factors, such as the size of the sample and the level of confidence. A larger sample size typically results in a smaller margin of error because larger samples provide more accurate estimates of the population parameter.
Similarly, a higher level of confidence requires a larger margin of error, since the interval of values that could contain the true population parameter becomes wider as the level of confidence increases.
Assuming a 95% level of confidence, the formula for calculating the margin of error is:
Margin of error = z * sqrt(p * (1 - p) / n)
where:
z is the z-score for the desired level of confidence (1.96 for 95%)
p is the sample proportion, which is the proportion of the sample that exhibits a particular characteristic of interest (e.g., the proportion of respondents who support a certain political candidate)
n is the sample size, which is the number of observations in the sample.
If the sample proportion is not known, it is common to use a value of 0.5, which corresponds to the maximum possible margin of error for a given sample size. This is because the maximum sampling error occurs when the sample proportion is closest to 0.5, which gives the least amount of information about the true population parameter.
To calculate the margin of error for a survey of 2,700 adults, we can assume a sample proportion of 0.5 and a 95% level of confidence. Plugging these values into the formula, we get:
Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 2700)
= 1.96 * sqrt(0.25 / 2700)
= 1.96 * 0.008
= 0.016
Rounding to the nearest thousandth, the approximate margin of error is 0.021. This means that we can expect the survey results to be within plus or minus 2.1 percentage points of the true population parameter, with a 95% level of confidence.
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there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
Find the greatest common factor of 14 and 16
Answer:
the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is 2, because it is the only factor that can go with both of the numbers.
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
please solve fast please
Answer:
3/6 =1/25/6pls give me brainliest plzzzzz
The table below shows the amount of time Varghese, Youfang, Waverley, and Kimora spent running during their first of training for a half marathon. For which runner is there a proportional relationship between the of training and the amount of time spent running?
A. Wlaverey
B. Youfang
C. Varghese
D. Kimora
The runner for which there is a proportional relationship between the of training and the amount of time spent running is given as follows:
D. Waverley.
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
Waverley is the only runner for which the situation is modeled by a proportional relationship, as for each input, the output is 30 times the input.
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