Answer:
a: 4
b: package and shopping costs
c: 1/2 ( (6-3)/(16-10) )
d: cost of shipping per pound
e: y= 1/2x + 4
f: 92
Step-by-step explanation:
Okay bunch of answers
I need explanation with this problem been struggling and it's practice for my exam coming up this semester
The first part of the journey took 4/3 hours (80 minutes)
The last part of the journey too 2/3 hours (40 minutes)
Here, we want to set-up equations to solve
We start by filling the table
Line 1
The rate for the first part of the race is 90 mph
The time for the first part of the race is F
Line 2
The time for the second part of the race is L
The distance (product of the rate and time) is 60L
So, adding these up give us the following equations to be added and solved below;
\(\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}\)So, we proceed to solve these equations simultaneously
\(\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}\)To get f, we simply substitute l into the first part of the equations;
\(\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}\)Since an hour is 60 minutes;
\(\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}\)Guess my number when i tripple my number snd add five,i get 26 what is my number
The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form
Answer:
We know that the area of the square of side length L is:
A = L*L = L^2
In this case, we know that the area is:
A = 128*x^3*y^4 cm^2
Then we have:
L^2 = 128*x^3*y^4 cm^2
If we apply the square root to both sides we get:
√(L^2) = √( 128*x^3*y^4 cm^2)
L = √(128)*(√x^3)*(√y^4) cm
Here we can replace:
(√x^3) = x^(3/2)
(√y^4) = y^(4/2) = y^2
Replacing these two, we get:
L = √(128)*x^(3/2)*y^2 cm
This is the simplest form of L.
Omar has a new debit card. He earns 1{,}8001,8001, comma, 800 reward points for spending 300300300 dollars.
At this rate, if Omar earned 600600600 reward points, how much money did he spend?
The reward of 600 points will be earned by spending the amount of $300.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, Omar earns 800 reward points for spending 300 dollars.
The amount of money spent to earn 600 reward points will be calculated as,
800 reward points = $300 spending
1 reward point = $300 / 800 spending
600 reward point = ($300 x 600) / 800
600 reward points = $225
Therefore, the reward of 600 points will be earned by spending the amount of $300.
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If y varies inversely with x, and y = 10 when x = 8, find the equation that relates x and y. Provide your answer below: y =
The equation that relates x and y when y varies inversely with x is y = 80/x.
Given that y varies inversely with x, we can express this relationship with the equation y = k/x, where k is the constant of variation. To find the value of k, we use the information that y = 10 when x = 8. Substituting these values into the equation, we get:
10 = k/8
To solve for k, we multiply both sides of the equation by 8:
8 * 10 = k
80 = k
Now that we have determined the value of k as 80, we can substitute it back into the equation:
y = 80/x
Therefore, the equation that relates x and y when y varies inversely with x is y = 80/x.
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what is 12.5% of 40?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Solution for What is 12.5 percent of 40:
12.5 percent *40 =
(12.5:100)*40 =
(12.5*40):100 =
500:100 = 5
Now we have: 12.5 percent of 40 = 5
Question: What is 12.5 percent of 40?
Percentage solution with steps:
Step 1: Our output value is 40.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$40=100\%$.
Step 4: Similarly, $x=12.5\%$.
Step 5: This results in a pair of simple equations:
$40=100\%(1)$.
$x=12.5\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{40}{x}=\frac{100\%}{12.5\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{40}=\frac{12.5}{100}$
$\Rightarrow x=5$
Therefore, $12.5\%$ of $40$ is $5$
Margo was helping clean up after a class party. There were 3 boxes remaining with pizza in them. Each box had 3 of a pizza left. How much pizza was left in all?
Answer:
9 pizzas
Step-by-step explanation:
Since there were 3 boxes which each 3 pizzas, you're gonna need to solve using an easy multiplication problem; 3*3, which is 9. So it's 9 pizzas
The diameter, \(D\), of a sphere is 9.2 mm. Calculate the sphere's volume, \(V\). Use the value 3.14 for \(\pi\), and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
88.6
Step-by-step explanation:
A=4(pi)r^2/3
D=9.2 : r=4.6
A=4(3.14)(4.6^2)/3=88.5898667
What are the long-run probabilities of each state? Murphy's π 1= Ashley's π 2=
In the given problem, the long-run probability of being in state 1 (Murphy's state) is represented by π1, while the long-run probability of being in state 2 (Ashley's state) is represented by π2.
To determine the long-run probabilities of each state, we need to consider the transition probabilities between states. Let's denote the transition probability from state 1 to state 2 as p12 and the transition probability from state 2 to state 1 as p21.In the long run, the probabilities of being in each state stabilize, which means they remain constant over time. This leads to the following equations:
π1 = p12 * π2 + p11 * π1
π2 = p21 * π1 + p22 * π2
These equations express that the probability of being in state 1, in the long run, is equal to the probability of transitioning from state 1 to state 2 multiplied by the probability of being in state 2, plus the probability of remaining in state 1 multiplied by the probability of being in state 1. Similarly, the probability of being in state 2, in the long run, is calculated. To find the long-run probabilities, we can set up a system of equations using the given transition probabilities and solve for π1 and π2.
However, without specific values for the transition probabilities p12, p11, p21, and p22, it is not possible to determine the exact long-run probabilities of each state (π1 and π2). The transition probabilities are necessary to solve the system of equations and obtain the values of π1 and π2. Therefore, without the information about the transition probabilities, we cannot determine the precise long-run probabilities of each state.
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WHO CAN HELP ME WITH THIS QUESTION
Answer:
No
Step-by-step explanation:
These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.
The side lengths aren't proportional as well. These triangles not similar.
Answer: I'm not sure but
similar : no
similarity statement: it's not similar because the corresponding angle of the two triangle are different
scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)
Step-by-step explanation:
Find the value of each variable
The missing sides of the special right triangles are listed below:
Case 1: y = √2 · 13, x = 13
Case 2: x = y = 15√2
Case 3: x = 6, y = 3√3
Case 4: x = 17√3, y = 17
Case 5: x = y = 10
Case 6: x = 50, y = 25
Case 7: x = y = 4√7
Case 8: x = 16√3, y = 8√3
Case 9: x = 11√3, y = 33
Case 10: x = 3√2, y = 2√6
Case 11: x = √10, y = 2√5
Case 12: x = 4√7, y = 8√21
How to find the length of missing sides
Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:
45 - 90 - 45 Right triangle
r = √2 · x = √2 · y
30 - 60 - 90 Right triangle
x = (1 / 2) · r
y = (√3 / 2) · r = √3 · x
Where:
x - Shortest leg.y - Longest leg. r - Hypotenuse.Case 1
y = √2 · 13
x = 13
Case 2
x = y = 15√2
Case 3
x = 3 / (1 / 2)
x = 6
y = 3√3
Case 4
x = 34 · (√3 / 2)
x = 17√3
y = 34 · (1 / 2)
y = 17
Case 5
x = y = 10
Case 6
x = 25√3 / (√3 / 2)
x = 50
y = 25√3 / √3
y = 25
Case 7
x = y = 2√14 · √2 = 2√28 = 4√7
Case 8
x = 24 / (√3 / 2)
x = 48 / √3
x = 16√3
y = 24 / √3
y = 8√3
Case 9
x = 22√3 · (1 / 2)
x = 11√3
y = 22√3 · (√3 / 2)
y = 33
Case 10
x = √18
x = 3√2
y = √6 / (1 / 2)
y = 2√6
Case 11
x = √10
y = √20
y = 2√5
Case 12
x = 4√21 / √3
x = 4√7
y = 4√21 / (1 / 2)
y = 8√21
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chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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The question is in the picture
For every 3 minutes that Ryan runs on the treadmill, he burns 28
calories. How many calories can he expect to burn if he runs for 24
minutes?
Answer:
He will burn 224 calories.
Step-by-step explanation:
Multiply 8 by 28 to get your answers because he runs 8 times more in 24 minutes.
:))
To raise money for a charity, a Year 10 class has decided to organise a school
luncheon. Tickets will cost $6 each. The students have negotiated a special deal for
delivery of drinks and pizzas, and they have budgeted $200 for drinks and $250 for
pizzas. If they raise $1000 or more, they qualify for a special award.
a) write an equation to represent this situation.
b) solve the equation to find the number of tickets they must sell to qualify for the award. explain your answer.
The equation that represents this situation is $6t - $450 ≥ $1000.
The number of tickets that should be sold is 242.
How many tickets should be sold?The form of the equation is:
total revenue - total cost ≥ $1000
(cost of one ticket x number of tickets sold) - cost of pizza and drinks ≥ $1000
($6 x t) - ($200 + $250) ≥ $1000
$6t - $450 ≥ $1000
$6t ≥ $1000 + $450
$6t ≥ $1450
t ≥ $1450 / 6t
t ≥ 242
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You are driving in a car and need to drive 300 miles. Your average speed for the first 100 miles is b miles per hour. Your speed
for rest of the trip is c miles per hour.
Write an equation for the total time, T, in hours it took to get to your destination.
T=
Step-by-step explanation:
speed = distance/time
so,
distance = speed × time
and
time = distance / speed = distance / distance/time
therefore,
T = 100/b + 200/c
as we have first 100 miles with the speed b, and the rest of the 300 miles trip is 300-100 = 200 miles with the speed c.
Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
Two boxes, one with Amanda and 3.5 m p h. To the right is the other box with Alexis and 4 m p h. Below, the boxes there is a bracket, halfway between, pointing to 4 miles.
hour
Answer:
t = 0.53 hr
Step-by-step explanation:
We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:
(3.5 mph)(t) + (4mph)(t) = 4 mi
Combining these terms:
(7.5 mph)(t) = 4 mi
4 mi
Solving for t: t = ---------------- = 0.53 hr
7.5 mph
Answer: 0.53
Step-by-step explanation: i hope this helps! :)
The population of a city in Dallas area went from 35,000 to 87,500 in 12 years . What is the percent of increase
Answer:
150 percent increase
Step-by-step explanation:
Two types of tickets are sold to a play. Floor seats cost $45 each and balcony seats cost $25 each. A play sells 107 tickets and makes a total of $3,375. How many of each type of ticket are sold?
Answer:
floor seats=35
and the balcony seats =72
Step-by-step explanation:
Step one
given data
let the floor seats be x
and the balcony seats be y
so
45x+25y=3375-------1
x+y= 107----------------2
from 2, x= 107-y
put x= 107-y in 1
45(107-y)+25y=3375
4815-45y+25y=3375
collect like terms
-45y+25y= 3375-4815
-20y=-1440
divide both sides by -20
y=72
put y= 72 in eqn 2
x+72=107
x=107-72
x=35
write the percent as a rate per 100 170/t= ?/100
Answer:
The equation that shows how to find t, the total number of pages in the e-book is;
\(\frac{180}{t}=\frac{75}{100}\)Explanation:
Given that after reading 180 pages, he has completed 75% of the book.
It implies that 75% of the total number of pages is 180 pages.
\(\begin{gathered} 75\text{\% of t = 180 pages} \\ \frac{75}{100}\times t=180 \\ \frac{75}{100}=\frac{180}{t} \\ \frac{180}{t}=\frac{75}{100} \end{gathered}\)Therefore, the equation that shows how to find t the total number of pages in the e-book is;
\(\frac{180}{t}=\frac{75}{100}\)
PLEASE HELP
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
x= ____
y= ____
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
The probability that we got is 35%
Can someone pls help me w this paper. PLEASEEEEE
Answer:
22 for num 5
Step-by-step explanation:
Discuss the convergence or 2j-1 divergence of Σ;=132-2
The series Σ(2j-1) diverges and does not converge.
To determine the convergence or divergence of the series Σ(2j-1), we need to examine the behavior of the terms as j approaches infinity.
The series Σ(2j-1) can be written as 1 + 3 + 5 + 7 + 9 + ...
Notice that the terms of the series form an arithmetic sequence with a common difference of 2. The nth term can be expressed as Tn = 2n-1.
If we consider the limit of the nth term as n approaches infinity, we have lim(n->∞) 2n-1 = ∞.
Since the terms of the series do not approach zero as n approaches infinity, we can conclude that the series Σ(2j-1) diverges.
Therefore, the series Σ(2j-1) diverges and does not converge.
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Give the following non-linear equation: z = x² + 4xy + 6xy² 1.1. Linearize the following equation in the region defined by 8 ≤x≤10,2 ≤y ≤4. (8) 1.2. Find the error if the linearized equation is used to calculate the value of z when x = 8, y = 2.
The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :
z ≈ 244 + 20(x - 8) + 128(y - 2).
When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.
1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:
∂z/∂x = 2x + 4y
∂z/∂y = 4x + 6xy
At the point (x₀, y₀) = (8, 2), we substitute these values:
∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24
∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128
The linearized equation is given by:
z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)
Substituting the values, we get:
z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)
1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:
z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)
= z₀
Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.
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Hello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
The fruits people like the most are shown in the circle graph.
People who like different Fruits
Dates
10%
Bananas
8%
Other
4%
Grapes
20%
Apples
34%
people
Cherries
24%
If 750 people were surveyed, how many people like grapes? Enter the number of people in the box.
Using the given percentages we can see that 150 people likes grapes.
How many people like grapes?
To find this, we need to take the product between the percentage of people that likes grapes (in decimal form) and the total number of people surveyed.
To get the decimal form of the percentage we just need to divide it by 100%, we will get:
20%/100% = 0.2
And there were 750 people surveyed, then the total number of people that likes grapes is:
N = 750*0.2 = 150.
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(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
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Can someone please help me with math.
Answer:
7. 0
8. 15
9. 71
12. 4/15
Step-by-step explanation: