On solving linear equation 1.05x=12.60, we get that Emma has 48 quarters.
What is linear equation in one variable?Let x be any variable then ax + b = c b is an linear equation in one variable.
where a, b, c are constants then we get solution for x as
x=(b-c)/a
Given as Emma has 4 times as many as quarters as nickels
Let the no of nickels be x
Then as there are 4 times as many as quarters as nickels
then no quarters be = 4x
Value of one nickel = 5 cents= $0.05
Value of one quarter = 25 cents = $0.25
Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)
Total worth of given nickels and quarters = $12.60
Then 0.05x+x = 12.60
This is an linear equation in one variable
1.05x=12.60
x= 12.60/1.05
x=12
Therefore ,Emma has 12 nickels
and 4(12)= 48 quarters
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G(3b)=3(3b)+2
PLEASE SOLVE ASAP BUT CORRECT IN ITS NOT YOU WILL BE REMOVED!!!!!
Answer:
G(x) = 3x +2
Step-by-step explanation:
I do not know what the problem is asking for, but if it's asking for the function, here you go.
Answer:
shbdhsjdcjsvdbssegehehhehehejrjehe
adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen? (2012amc10a problem 23 or 2012amc12a problem 19)
Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.
We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.
Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.
Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.
Therefore, the answer is (A) 60.
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The question is -
Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?
a. 60
b. 170
c. 290
d. 320
e. 660
hehehehehehhhehehe help
Answer:
Y=2
Step-by-step explanation:
If x=3 we can see that every two lines is 1 number up then the last
same for y access. Y=-2
Answer:
-2
Step-by-step explanation:
Ian is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 2 t-shirts, and 3 pairs of shoes. How many different outfits does Ian have to choose from?
Answer:
He has four outfits if he switches shirts once.
please show full step by step explanation, solve number 9 first
Problem N 9
we have that
UW=UV+VW -----> by addition segment postulate
substitute given values
(2x-8)=(x-8)+(12)
solve for x
2x-8=x+4
2x-x=4+8
therefore
The answer is
x=12GENERAL INSTRUCTIONS: ENTER YOUR ANSWER WITHOUT THE $ SIGN AND COMMA, BUT FORMATTED IN DOLLARS ROUNDED TO THE NEAREST DOLLAR, for instance if you compute $777,342,286.6478 then ENTER 777342287 AS YOUR ANSWER. DO NOT ROUND IN YOUR CALCULATION STEPS (use calculator memory functions) TO AVOID ROUNDING ERRORS. There is a little bit of tolerance built into accepting/rejecting your answer, but if you round in your intermediate calculations you may be too far off.
Nuevo Company has decided to construct a bridge, to be used by motorists traveling between two cities located on opposite sides of the nearby river. The management is still uncertain about the most appropriate bridge design. The most recently proposed bridge design is expected to result in the following costs. The construction cost (first cost) is $9,000,000. Annual operating cost is projected at $700,000. Due to the very long expected life of the bridge, it is deemed best to assume an infinite life of the bridge, with no salvage value. Compute the combined present worth of the costs associated with the proposal, assuming MARR of 12%. Note: do not include negative sign with your answer
The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.
To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.
The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.
For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.
To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,
where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.
Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.
Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.
However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.
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The diameter of a circle is 25 inches. What is the area? Use 3.14 for pi and round to the nearest hundredth.
Answer:
500 inches
Step-by-step explanation:
r= d÷2
25÷2= 12.5
Area of circle = pi × r²
=3.14×(12.5)²
=490.625
~500 inches
A sequence of numbers begins with 12 and progresses
geometrically. Each number is the previous number
divided by 2.
Which value can be used as the common ratio in an
explicit formula that represents the sequence?
N/H
02
06
O 12
Answer:
1/2
Step-by-step explanation:
since every time you divide by 2, the common ratio is 1/2
Tony recieved 50$ gift card for her birthday. After buying some clothes she had 32$ left on her card. How much did she spend on the clothes?
Answer:
$18
Step-by-step explanation:
If she starts with $50 and has $32 left when she's done then. 50-32= 18
So she spent $18 on clothing.
brian’s gas tank is 1/2 full. after he buys 9 gallons of gas, it is 5/6 full. how many gallons can brian’s tank hold?
Answer:
his tank can hold 24 gallons
Step-by-step explanation:
5/6 - 1/2 = 2/6 2/6 of tank = 8 gallons So, tank can hold 24 gallons.
OMG HELPPPPPP!!!!!!!!
Problem Solving
Now it's your turn. Here are two problems, similar to the one worked out above. The first problem is a duopoly (with two firms); the second problem has similar parameters but with three firms in the market.
Problem 1
Suppose there are two firms in an industry, X and Y. Demand for each firm's product is, respectively:
QDx=90−3PX+2Py
QDy=90−3PY+2PX
Both firms also face a constant marginal cost of 10 per unit: MCX=MCY=10, and there are no fixed costs for either firm.
Using the example above as a guide, find the equations that characterize the "best responses" for each firm, expressing each firm's optimal price in terms of the rival's price:
Now find the numerical values of Nash equilibrium prices, which is characterized by all firms playing bes responses simultaneously:
The numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively
In a duopoly market with two firms, X and Y, the demand functions and marginal cost for each firm are given. To find the "best responses" for each firm, we need to determine the optimal price for each firm in terms of the rival's price. Subsequently, we can find the Nash equilibrium prices, where both firms play their best responses simultaneously.
For Firm X:
ProfitX = (90 - 3PX + 2PY - 10) * PX
Taking the derivative with respect to PX and setting it equal to zero:
d(ProfitX) / dPX = 90 - 6PX + 2PY - 10 = 0
Simplifying the equation:
6PX = 80 - 2PY
PX = (80 - 2PY) / 6
For Firm Y:
ProfitY = (90 - 3PY + 2PX - 10) * PY
Taking the derivative with respect to PY and setting it equal to zero:
d(ProfitY) / dPY = 90 - 6PY + 2PX - 10 = 0
Simplifying the equation:
6PY = 2PX - 80
PY = (2PX - 80) / 6
These equations represent the best responses for each firm in terms of the rival's price.
To find the numerical values of the Nash equilibrium prices, we need to solve these equations simultaneously. Substituting the expression for PY in terms of PX into the equation for PX, we get:
PX = (80 - 2[(2PX - 80) / 6]) / 6
Simplifying the equation:
PX = (80 - (4PX - 160) / 6) / 6
Multiplying through by 6:
6PX = 480 - 4PX + 160
10PX = 640
PX = 64
Substituting this value of PX into the equation for PY, we get:
PY = (2 * 64 - 80) / 6
PY = 8
Therefore, the numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively.
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A geometric design. The design for a quilt piece is made up of 6 congruent parallelograms. What is the measure of ∠1?
f 120° g 30° h 150° j 60°
The angle measure of 1 is m∠1 = 60°.
Given information:
A geometric design. The design for a quilt piece is made up of 6 congruent parallelograms.
Let the angle measure of 1 is x.
As per the information provided, an equation can be rearranged as,
6x = 360
x = 360/6
x = 60.
Therefore, m∠1 = 60°.
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Write a point-slope equation for a line containing the points (-3,-1) and (5,2)
Answer:
Point-slope form: y + 2= 0.5(x + 3)
Slope-intercept form: y = 0.5x - 0.5
Step-by-step explanation:
What is 1.2 simplified
Answer:
it is 1 2/10 but simplified to 1 1/5
Step-by-step explanation:
Which mechanic will charge less for a 50-hour repair?
The mechanic that would charge less for a 50-hour repair is Mechanic A.
What is the point-slope form?Mathematically, the point-slope form of any straight line can be modeled by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the points.For the table for Mechanic B, an equation which represent its data points is given by:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 300 = (600 - 300)/(20 - 10)(x - 10)
y - 300 = 300/10(x - 10)
y = 30x - 300 + 300
y = 30x.
When x = 50 hours, the charges for Mechanic A is given by:
y = 25x + 100
y = 25(50) + 100
y = $1,350
When x = 50 hours, the charges for Mechanic B is given by:
y = 30x
y = 30(50)
y = $1,500
In conclusion, we can logically deduce that Mechanic B charges a higher fee than Mechanic A.
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math!!
PLEASE HELP!!
what is the angle indicated in the triangle below??
a) 46 degrees
b) 65°
c) 44°
d) 35°
e) 55°
f) 90°
Answer:
e) 55°
Step-by-step explanation:
use the tangente ratio
\(tan\alpha =\frac{10}{7} =1.42857\)
\(angle(?)=tan^{-1} (1.42857)=55^{0}\)
Hope this helps
Answer:
55 degrees (e)
Step-by-step explanation:
This is a trigonometry problem. We are given a right triangle with an unknown angle in which the opposite and adjacent sides of the angle are known (10 and 7). We also know that the tangent of any angle is the length of the opposite divided by the length of the adjacent. If we let the unknown angle be Ф, we can say that tan(Ф) = 10/7. To isolate Ф, all we have to do is take the inverse. In other words, Ф = arctan(10/7). Using a graphing calculator, we find that arctan(10/7) is approximately 55 degrees.
Write y=−4x−4 in standard form .
Answer:
Y=-4x-4= \(x=- \frac{y+4}{4}\)
Step-by-step explanation:
Answer: The answer is x=–y+4/4?
Step-by-step explanation:
What is an example of an exponential graph?
The exponential growth or decay of a certain phenomenon, such as population growth or decay, over time. The graph typically looks like an “S” or exponential curve, with an initial slow start then an increasing or decreasing rate of change.
20An example of an exponential graph is one that shows the exponential growth or decay of a certain phenomenon, such as population growth or decay, over time. The graph typically looks like an “S” or exponential curve, with an initial slow start followed by an increasing or decreasing rate of change. This rate of change is often characterized by a mathematical function, such as an exponential function, which can be used to calculate the expected change in the phenomenon over a given period of time. For example, an exponential graph can be used to show how a population will grow or decline over time, based on its current population size, growth rate, and other factors. Exponential graphs can also be used to show the growth or decay of a chemical reaction, the rate of change of a financial asset, or any other phenomenon that can be characterized by an exponential function.
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what are the formula to find the vertex of hexagon
Answer:
the answer is 6
Step-by-step explanation:
there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6
tina has scheduled a dinner with friends in 4.5 hours. what is the probability that her simulation study will be done by then?
The approximate distribution (give distribution name and parameters) of the total length will be = 450 minutes
The estimated distribution of the total length of Tina's simulation study is a triangular distribution with a base worth of 2 minutes, a greatest worth of 4 minutes, and a mode (most reasonable worth) of (2+4)/2 = 3 minutes.
Since the simulation time is generally consistently distributed somewhere in the range of 2 and 4 minutes, the total simulation time will be the sum of 150 free random variables each with a triangular distribution.
Hence, the total simulation time will also have a triangular distribution with a base worth of 2 minutes x 150 = 300 minutes, a greatest worth of 4 minutes x 150 = 600 minutes, and a method of (300+600)/2 = 450 minutes.
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The complete question is:
Tina is running a simulation study on her laptop. The duration of each simulation is roughly uniformly distributed between 2 and 4 minutes. She needs to run 150 simulations and she runs all her simulations back-to-back. - What is the approximate distribution (give distribution name and parameters) of the total length of Tina's simulation study? Explain your answer
Line a passes through the points (-2, 3) and (4, 6), line b passes through the points (0, 2) and (2, 3). Are these lines parallel?
Answer:
yes they are parallel because they have the same slope.
The middle school is holding a food drive for a local food pantry. If each student commits to bringing 9 cans of food, write an expression for the total number of cans for an unknown number of students, s
The expression for the total number of cans of food would be: 9s
Define the term variable?A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.
A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.
Let's use the variable "s" to represent the number of students participating in the food drive.
Then, the expression for total number of cans of food would be: 9s
This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).
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Strat
1. Brenna cuts wood for a fire. She can cut a log into thirds in 10 min.
How long would it take Brenna to cut a similar log into sixths?
Brenna would take 20 min to cut the same wood into sixths.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10
x = 0.3 cuts per minute for single wood,
Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min
Thus, Brenna would take 20 min to cut the same wood into sixths.
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The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote.they wrote a total of 46 songs wich system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs
Answer: g+d=46
Step-by-step explanation:
We want to write and solve a system of equations to model the given situation.
g = 2*d - 8
g + d = 46
The first thing we need to do, is define the variables we will be using.
g = number of songs that the guitarist wrote.
d = number of songs that the drummer wrote.
From "The guitarist wrote 8 fewer than twice the number of the songs that the drummer wrote."
We can write:
g = 2*d - 8
And we know that in total they wrote 46 songs, so we can also write:
g + d = 46
Then the system of equations is:
g = 2*d - 8
g + d = 46
Problem 1
Calculate the slope of each line. Click on the
appropriate cell in the table to highlight the
line you are interested in.
(-5, 7) (1, 1)
(2, 6) (8, 4)
(-6, -3) (-2,-8)
Answer:
13
Step-by-step explanation:
Find y-int of table m=11-2 = 9 2 = 9 (-5)+b. 10-(-5) 15. What is the value of x in the equation shown below? 2(x + 8) - 4x = 10x + 4 solve for X.
13 pages
Hector works 8 hours each day. How many hours does he work in 4 days?
Answer:
32
Step-by-step explanation:
8x4=32
Answer:
8 x 4 = 32 ! :)
Step-by-step explanation:
Determine the domain of the function f(x) = 1/√x-1 + 1/√2-x
The domain of the function is 1 ≤ x < 2.
What is domain ?The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates).
We have f : \(\frac{1}{\sqrt{x-1} } + \frac{1}{\sqrt{2-x} }\)
\(\sqrt{x-1}\) ≥ 0
x- 1 ≥ 0
x ≥ 1
Similarly , \(\sqrt{2-x}\) > 0
2 - x > 0
2 > x
So our domain is 1 ≤ x < 2.
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A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
Answer:
238 should be the answer
Step-by-step explanation:
!!!HELP ME WITH THIS QUESTION PLEASE!!!
Answer:
C
Step-by-step explanation:
Hope this helps