Deal city is having a sale on a video game that, because of it popularity is notoriously hard to get ahold of. While waiting in line to open james notices that his friend Carlos is ahead of him and that there are only 5 ahead of him. If there is a total of 38 people in line and 15 of those are behind james how many are between james and carlos
Answers
Answer:
16 people
Step-by-step explanation:
While waiting in line to open james notices that his friend Carlos is ahead of him and that there are only 5 ahead of him.
- This means that carlo is the 6th person in line.
If there is a total of 38 people in line and 15 of those are behind james
- This means that james is the 23rd person in line
how many are between james and carlos
- This is the difference between the 6th position and 23rd position
There are 16 positions between 6 and 23. Hence that's the number of people between them
Related Questions
How many arrangements are there of the letters in the word "greet?"
Answers
Answer: 60
5 / 2
= 5×4×3×2×1/2×1
=120 / 2
= 60.
I hoped this helped! :)
A phone company offers two monthly plans. Plan A costs $26 plus an additional $0.10 for each minute of calls. Plan B has no initial fee but costs $0.14 for each minute of calls.
Answers
The cost when two plans cost the same amount is $90, and the amount of calling for which the two plans cost the same is 650 minutes.
What is an algebraic expression?An algebraic expression is an equation made up of variables and arithmetic operations like multiplication and division.
Assume that the two plans have the same costs when x minutes are called.
Therefore, the algebraic statement can be expressed as 26 + (0.10) = 0 + (0.14),
or Plan A Equals Plan B.
By solving this, we can determine how many minutes each of the two plans will cost:
650 minutes are equal to 26 = 0.10x - 0.14x 0.04x.
B) The price when two plans have the same price:
Plan A = 26 + 0.10 x 650
= 26 + 65 = $90,
or Plan A Equals Plan B = $90.
The following are the answers:
A) Calling for 650 minutes will be equal in price between the two plans.
B) The price is $90 when two plans have the same price.
Hence, The cost when two plans cost the same amount is $90, and the amount of calling for which the two plans cost the same is 650 minutes.
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Please Create a Supply Curve Graph
- Please make a graph with both supply and demand curves on one graphs (for equilibrium
- Explain the points on the equilibrium please and what is the equilbrium and why is is that point
should be a total of 2 graphs. Thank you in advance
Answers
The graph illustrates the supply and demand curves on a single graph to represent the equilibrium point in a market. The equilibrium point is where the quantity demanded equals the quantity supplied, resulting in a balance between buyers and sellers.
This point determines the market price and quantity exchanged in the market. The graph demonstrates the interplay between supply and demand, showcasing how changes in these factors can impact the equilibrium point and market outcomes.
The equilibrium point is the intersection of the supply and demand curves on the graph. At this point, the quantity demanded by buyers matches the quantity supplied by sellers. The equilibrium price is determined by the vertical position of the equilibrium point on the graph, while the equilibrium quantity is determined by the horizontal position.
If the market price is above the equilibrium price, there is excess supply, leading to a surplus. Sellers will be motivated to decrease prices to sell their goods, which, in turn, increases the quantity demanded. Conversely, if the market price is below the equilibrium price, there is excess demand, resulting in a shortage. Buyers will be incentivized to bid higher prices, increasing the quantity supplied by sellers.
The equilibrium point represents a state of market balance where the forces of supply and demand are in harmony. It reflects the price and quantity at which both buyers and sellers are satisfied, maximizing the efficiency of resource allocation in the market.
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Solve each equation
Note:now you need to perform inverse operations to solve for the variables. For example in (2/3x -6) try adding 6 to both sides first then multiply the reciprocal of 2/3 (meaning the flipped version)
Answers
The factorise form of the two expression are as follows:
2 (x - 3) (x - 9)-3(x + 5)(x + 7) How to solve an expression?b. (x - 3)(2 / 3 x - 6) = 0
Therefore, let's open the brackets
2 / 3 x² - 6x -2x + 18 = 0
2 / 3 x² - 8x + 18 = 0
multiply through by 3
2x² - 24x + 54 = 0
Hence,
2 (x - 3) (x - 9)
c.
(-3x - 15)(x + 7) = 0
Therefore,
-3x² - 21x - 15x - 105 = 0
-3x² - 36x - 105 = 0
-3(x + 5)(x + 7)
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find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
Answers
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
A pencil is `120` millimeters long.
A marker is `9\%` longer than the pencil.
How long is the marker?
Answers
Given the length of the pencil, the length of the marker is 130.8 millimeters.
What are percentages?Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
How long is the marker?Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
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The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x. n= 16 p-0.71 q=0.29 Can the normal distribution be used to approximate the random variable x? A. Yes, because np 25 and ng 2 5. OB. No, because np <5. OC. No, because np < 5 and ng <5. O D. No, because ng <5.
Answers
We cannot use the normal distribution to approximate the random variable x in this case because the second condition (nq ≥ 5) is not satisfied since 4.64 is less than 5. The correct option is (OC) No, because np < 5 and ng <5.
To determine whether the normal distribution can be used to approximate the random variable x in a binomial experiment, we need to check if the conditions for using the normal approximation are met.
The conditions are typically based on the sample size (n) and the probabilities of success (p) and failure (q).
In this case, the given values are:
n = 16
p = 0.71
q = 0.29
To use the normal approximation, the following conditions should be satisfied:
1. np ≥ 5
2. nq ≥ 5
Let's check if these conditions are met:
1. np = 16 * 0.71 = 11.36
2. nq = 16 * 0.29 = 4.64
Based on the calculated values, we can see that the second condition (nq ≥ 5) is not satisfied since 4.64 is less than 5.
Therefore, we cannot use the normal distribution to approximate the random variable x in this case.
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portion of the population of interest that is selected for a study
Answers
The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.
What Exactly Is a Sample?
An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.
In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.
What does a research sample mean?
Sampling is the process of choosing a portion of the target population for a research project.
In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.
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Suppose a random sample of size 50 is selected from a population of values with a standard deviaiton of 10. What will be the standard error of the sample mean if the population size is 500
Answers
If the population size is 500, then the standard error of the sample mean is approximately 0.447.
The standard error of the sample mean is a measure of how much the sample mean differs from the true population mean on average. The formula for calculating the standard error of the sample mean is:
SE=σ/√n
where σ is the standard deviation of the population, n is the sample size.
Using the given values, we can calculate the standard error of the sample mean as follows:
σ = 10
n = 50
SE = σ/√n = 10/√50 = 1.41
When the population size is very large relative to the sample size (n), the standard error of the sample mean can be approximated as:
SE=σ/√N
where N is the population size.
Using the given values, we can calculate the approximate standard error of the sample mean as follows:
N = 500
σ = 10
SE = σ/√N = 10/√500 = 0.447
Thus, the standard error of the sample mean, when the population size is 500, is approximately 0.447.
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Sam opened a savings account with $400. He earns $1,640 a
month at his job and will deposit 3% of his monthly pay every
month into his new savings account. Assuming he doesn't
withdraw money from his savings account, which equation shows
the balance y of his savings account x months after he opened it?
y = 12x + 400
y = 400x + 1640
y = 49.2x + 400
y = 0.03x + 400
Answers
Answer:
y = 49.2x+400
Step-by-step explanation:
He deposits 3% of his monthly pay = 0.03*1640 = $49.2 every month = 49.2x
He put $400 when he opened the account so that needs to be added in = 49.2x+400
Please help
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Answers
Answer:
;)
Step-by-step explanation:
Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
Answers
Answer:4.6 miles for 5 days
Step-by-step explanation:
37 - 14 = 23
23 divided by 5 = 4.6
Answer:4.6 miles
Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles
Please help me with this question!
Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate’s age.
Which equation shows an equality between two different ways of expressing Nate’s age?
A) 22 = 2y
B) 22 = 2 + y
C) 22 = 1/2 y
D) 22 = y^2
... --- ...
Answers
Answer:
A
Step-by-step explanation:
Nate is two times Alexa's age (2y)
Decrease 1500goats by 20%
A 1200
B 300
C 1800
D 900
Answers
B 300
Step-by-step explanation:
20%/100 = ?/1500
Multiply 1500 by 20
1500 x 20 = 30000
Then divide 30000 by 100
30000 divided by 100 = 300
Therefore, 20% of 1500 goats in 300
Answer:
A
Step-by-step explanation:
1500 goats represent 100%
but 100% = 5*20%
1500 = 5*300 so 20% =300
a decrease by 20% is 1500-300 = 1200
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
Answers
ITS D!!! h = -6 k = -30
The equation of a vertical parabola in vertex form is equal to
f(x)= a(xh)² + k
where
a is a coefficient
(h,k) is the vertex
we have
f)x) = x² + 12x + 6
Convert to vertex form
Complete the square
f)x) 6= x² + 12x
f)x) - 6+36= (x² + 12x +36)
f)x)+ 30 = (x² + 12x +36) -
f)x)+30= (x+6)²
f)x) = (x+6)² – 30. -----> equation in vertex form
therefore
The vertex is the point (-6,-30)
h=-6, k=-30
A theme park has a ride that located in a cylinder with a height of 8 yards. The ride goes around the outside of the , which has a of 515.79 yardsWhat is the surface area of the nearest using 3.14 for Apply the for surface area of a cylinder SAPh
Answers
The surface area of the cylinder with a height of 8 yards and a radius of 82.13 yards is 46,486.93 sq. yards.
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. One of the fundamental three-dimensional shapes in geometry is the cylinder, which has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.
Given,
The height of the cylinder = 8 yards
The circumference of the cylinder = 515.79 yards
We are asked to find the surface area of the cylinder.
Now the formula to find the surface area of a cylinder is:
SA = 2πr( r+h)
where r = radius
h = height
Radius can be found from the circumference formula
2πr = 515.79
r = 515.79/ 2π = 515.79 / (2*3.14) = 82.13 yards
Then,
SA = 2πr( r+h) = 2*3.14*82.13 ( 82.13+8) = 46,486.93 sq. yards
Therefore the surface area of the cylinder with a height of 8 yards and a radius of 82.13 yards is 46,486.93 sq. yards.
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What would the missing terms be if this were an arithmetic sequence?
f(2) =
f(3) =
Answers
Answer:
I think im not for sure but that would be 6 or 5
Step-by-step explanation:
i think :)
You start at (3, 6). You move down 1 unit and up 4 units. Where do you end?
Answers
Answer:
(3, 9)
Step-by-step explanation:
You start on (0, 0), and try and remember the term, "you run before you can jump(x before y, (x, y)) when working with coordinates.
X axis: so you "run" 3 units to the right, as it's not a negative number. so now your on (3, 0) (dark blue arrows)
Y axis: now you do the "jumping" portion of this, so you jump up six units as it's a negative, so now your on (3, 6) (red arrows)
Y: axis: but now you have to move down 1 unit, so you essentially "fall" 1 unit down, (3, 5) (pink arrow)
Y axis: you have to "jump" 4 units up now, so now your at (3, 9) (green arrows)
you haven't moved along the X axis so you keep the 3, you only moved the Y axis.
So your asnwer is (3, 9)!
Hope this helped!! (picture help as well!)
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) is dilated using a scale factor of 3/4 to create polygon A′B′C′D′. Determine the vertices of polygon A′B′C′D′.
A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(3, −4.5), B′(1.5, −1.5), C′(−3, 1.5), D′(−3, −3)
A′(4.5, −3), B′(1.5, −1.5), C′(−1.5, 3), D′(3, 3)
Answers
The vertices of the dilated polygon A'B'C'D' are A'(-3, 4.5), B'(-1.5, 1.5), C'(3, -1.5), and D'(3, 3). the correct option is (A) A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3).
What is polygon?
A polygon is a closed plane figure that is formed by three or more straight sides, which are connected end-to-end to create a closed shape.
To find the vertices of the dilated polygon, we need to apply the scale factor of 3/4 to each of the original vertices. This will result in a new set of coordinates for each vertex.
The coordinates of point A' can be found by multiplying the x-coordinate and y-coordinate of A by 3/4:
x-coordinate of A' = -4 × 3/4 = -3
y-coordinate of A' = 6 × 3/4 = 4.5
Therefore, A' has coordinates (-3, 4.5).
Using the same method, we can find the coordinates of the other vertices:
B':
x-coordinate of B' = -2 × 3/4 = -1.5
y-coordinate of B' = 2 × 3/4 = 1.5
Therefore, B' has coordinates (-1.5, 1.5).
C':
x-coordinate of C' = 4 × 3/4 = 3
y-coordinate of C' = -2 × 3/4 = -1.5
Therefore, C' has coordinates (3, -1.5).
D':
x-coordinate of D' = 4 × 3/4 = 3
y-coordinate of D' = 4 × 3/4 = 3
Therefore, D' has coordinates (3, 3).
Thus, the vertices of the dilated polygon A'B'C'D' are A'(-3, 4.5), B'(-1.5, 1.5), C'(3, -1.5), and D'(3, 3). Therefore, the correct option is (A) A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3).
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1
Robert has a piece of string that is 62 cm long. He cuts off 39 cm of the string.
How long is the string that is left?
Answers
Answer:
23cm
Step-by-step explanation:
62-39=23cm
Find the slope!!
and quick
Answers
Answer:
they are doing a multiples of -8
Answer:
The answer is - 8
Step-by-step explanation:
\(slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8\)
Find the equation of line containing the origin and has a slope of 2:
Answers
We know that the line passes through the origin, which means that the coordinates of the point on the line are (0,0). We also know that the line has a slope of 2. Therefore, we can use the point-slope form of the equation of a line to find its equation:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line. Plugging in the values we know, we get:
y - 0 = 2(x - 0)
which simplifies to:
y = 2x
Thus, the equation of the line containing the origin and with a slope of 2 is y = 2x.
The diagram shows the distances of kitchen appliances in feet. What is the range of distances, d, from the range to the refrigerator?
Answers
The correct answer is :
\(2 < d < 10\)
Just it....
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
If you were going to solve -3(x + 5) = 27, what is the first step that you would do? Why did you start there?
Answers
Answer:
Step-by-step explanation:
Multiply -3 for x and for 5
-3x-15=27
When you have this type of equation the first thing you do is take off the parentesis
Then you pass the 15 to the other side and you get -3x= 27 +15 . After that you divide that for -3 and you get the x . In this case x= -14
Sorry if the english is bad, i hope this helps
What multiplication fact could help me find out 24 ÷ 8 ?
Answers
Answer:
Step-by-step explanation:
That would be 8 x 3. It would help because 24/8 = 3.
So a multiplication fact is 8x3 = 24.
if it is rolled three times, what is the probability that the same number shows up in all three times?
Answers
The probability of three numbers the same is = 1/36.
Probability:
Probability is simply how likely something is to happen.
The maximum value of probability can be 1,that is,
0 ≤ P ≤ 1
where P is the probability.
A die has total six faces showing numbers 1,2,3,4,5 and 6.
A die is thrown three times,we have to find the probability that same number shows up in all thrown.
that is either,
1,1,1 or 2,2,2 or 3,3,3 or 4,4,4 or 5,5,5 or 6,6,6
Now,
Throw the first die. It doesn't matter what number you get.
Again,
Throw the second die. The probability of getting the same number is 1/6.
And again,
Throw the third die. The probability of getting the same number is again 1/6.
So,
The probability of three numbers the same is = 1/6×1/6.
= 1/36
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Find the equation of the line specified.
The line passes through the points ( -2, 3) and ( -4, 7)
a.
y = -2x - 1
c.
y = -4x - 1
b.
y = -2x + 3
d.
y = -2x + 7
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
Line q passes through (-5,5) and is parallel to the
line 2x + y + 1 = 0.
The slope of line q is
1.
Answers
Answer:
-2
Step-by-step explanation:
Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. So, the slope is -2.
Find the value of x and YZ if Y is between X and Z.
XY=4x, YZ=x, and XZ=25
Answers
The value of x and YZ is x = 5 units and YZ = 5 units
Given: XY = 4x, YZ = x, XZ = 25 and Y is between X and Z.
This question is based on segment bisector theorem.
What is segment bisector theorem?
The segment bisector theorem states that for a line segment XZ whose length is unknown and if there is a point Y within the line XZ and the length of Y from X and Y from Z is known, that is XY and YZ are of known lengths then we can give the length of line XZ as:
XZ = XY + YZ
How to use segment bisector theorem?
Let's say a line segment XZ is given and the length is unknown.
There is a point Y within the line segment XY where value of XY and YZ are known. Say , XY = a and YZ = b.
So we kind find the length of XZ by direct application of the theorem that is XZ = XY + YZ
Therefore XZ = a + b.
The length of XZ is known.
Similarly if the length of XZ was known and Y was a point within the line segment XZ. The length of only XY was known, We could have find the length of YZ by YZ = XZ - XY and so on.
Now, let's solve the problem.
As Y is between is X and Z, so Y is a point on the line segment XZ and Y is dividing the line segment into two parts namely XY and YZ.
so, XY + YZ = XZ
4x + x = 25
5x = 25
x = 25 / 5
x = 5
YZ = x = 5
Hence x = 5 units and YZ = 5 units
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