1) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{8}\) litros de pintura verde.
2) Cada uno de los tres compañeros tiene correspondido \(\frac{1}{4}\) litros de pintura roja.
3) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{6}\) litros de pintura azul.
En este problema debemos calcular la cantidad y los tipos de pintura correspondiente a cada compañero, el cual se calcula la cantidad dividida por la cantidad de compañeros:
Pintura verde
\(v = \frac{\frac{1}{2}\,L }{4}\)
\(v = \frac{1}{8}\,L\)
Pintura roja
\(r = \frac{\frac{3}{4}\,L }{3}\)
\(r = \frac{1}{4}\,L\)
Pintura azul
\(a = \frac{\frac{2}{3}\,L }{4}\)
\(a = \frac{1}{6}\,L\)
Las cantidades correspondientes a cada compañero son las siguientes:
1) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{8}\) litros de pintura verde.
2) Cada uno de los tres compañeros tiene correspondido \(\frac{1}{4}\) litros de pintura roja.
3) Cada uno de los cuatro compañeros tiene correspondido \(\frac{1}{6}\) litros de pintura azul.
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Solve the system x − y = 37 , x−y = −3
Responses
No sol
many sol
(1,-4)
(2,-8)
Answer:
Step-by-step explanation:
No sol because 37=-3 is false
Answer:
no answer
Step-by-step explanation:
in first equation x-y= 37 make y in the other side then it will be x=37+y
substitute x in the second equation which is x- y= -3
then it will be
37+y-y= -3
there will be no answer
In this geometric sequence, what is the common ratio?
104, -52, 26, -13, ...
2
- 1/2
1/2
-2
How many sig-figs does the following measurement contain? "I counted coins in my coin-collection jar and it turned out 500!!" 3 1 5 Infinite
The measurement "500" contains an infinite number of significant figures.
The statement "I counted coins in my coin-collection jar and it turned out 500!!" indicates that the number of coins counted is 500. Since it is a whole number without any decimal places or uncertainties specified, it is considered an exact number. Exact numbers are considered to have infinite significant figures.
The statement implies that the exact count of coins is 500. Since there are no decimal places mentioned and no indication of any uncertainty or approximation, we consider this number to be exact.
Exact numbers, by definition, are considered to have an infinite number of significant figures because they are not subject to the limitations of measurement uncertainties.
Therefore, the measurement "500" contains an infinite number of significant figures.
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george's friend clarence, who is even more concerned about consumers, suggests a price ceiling 50% below the monopoly price. at this price, the quantity demanded would be 65 units, and the quantity supplied would be units.
George's friend Clarence, who is concerned about consumers, suggests implementing a price ceiling that is 50% lower than the monopoly price. With this price ceiling in place, the quantity demanded would increase to 65 units. However, the exact quantity supplied at this new price is not provided in your question.
George's friend Clarence is suggesting a price ceiling, which is a government-imposed limit on how high a price can be charged for a good or service. In this case, the price ceiling is set at 50% below the monopoly price. This means that the price charged for the good or service would be significantly lower than what the monopolistic supplier would typically charge.
At this lower price point, Clarence predicts that the quantity demanded would increase to 65 units, indicating that consumers would be more willing to purchase the product due to its lower price. However, it is unclear what the quantity supplied would be at this price point, as that information is missing from the question.
Overall, George's friend Clarence's suggestion of a price ceiling serves to protect consumers by limiting the monopolistic supplier's ability to charge exorbitant prices and instead promoting a more competitive market.
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Multiply 9 times 43 using the area model label the model
Answer:
387
Step-by-step explanation:
Determine the solutions of the equation:
|1/3x + 9| - 3 = 21
Step-by-step explanation:
21+3=24
1/3x+9=24
24-9=13
1/3x=13
13×1=13
3x=13
13/3=4.33
x=4.33
Consider the following. f(x) = 8x – x2 from x = 0 to x = 4; 2 subintervals (a) Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.) (b) Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals.
(a) The total area under the curve is nearly equal to 24.
(b) The area under the curve by evaluating the function at the left-hand endpoints of the subintervals is 24.
(a) To approximate the area under the curve of f(x) = 8x - \(x^2\) from x = 0 to x = 4 using 2 subintervals and evaluating the function at the right-hand endpoints of the subintervals.
We can use the right-endpoint rule for approximating definite integrals:
First, we need to find the width of each subinterval:
Δx = (4-0) / 2 = 2
Then, we can evaluate the function at the right-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:
f(2) = 8(2) - \(2^2\) = 12
f(4) = 8(4) - \(4^2\) = - 8
Area of the first rectangle = f(2)Δx = 12(2) = 24
Area of the second rectangle = f(4)Δx = -8(2) = -16
The total area under the curve is the sum of the areas of the two rectangles:
Total area ≈ 24 + (-16) = 8
(b) To approximate the area under the curve of f(x) = 8x - \(x^2\) from x = 0 to x = 4 using 2 subintervals and evaluating the function at the left-hand endpoints of the subintervals, we can use the left-endpoint rule for approximating definite integrals:
The width of each subinterval is still Δx = 2.
Now, we evaluate the function at the left-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:
f(0) = 8(0) - \(0^2\) =0
f(2) = 8(2) - \(2^2\) =12
Area of the first rectangle = f(0)Δx = 0(2) = 0
Area of the second rectangle = f(2)Δx = 12(2) = 24
The total area under the curve is the sum of the areas of the two rectangles:
(a) To approximate the area under the curve of f(x) = 8x - \(x^2\) from x = 0 to x = 4 using 2 subintervals and evaluating the function at the right-hand endpoints of the subintervals, we can use the right-endpoint rule for approximating definite integrals:
First, we need to find the width of each subinterval:
Δx = (4-0)/2 = 2
Then, we can evaluate the function at the right-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:
f(2) = 8(2) - \(2^2\) = 12
f(4) = 8(4) - \(4^2\) =-8
Area of the first rectangle = f(2)Δx = 12(2) = 24
Area of the second rectangle = f(4)Δx = -8(2) = -16
The total area under the curve is the sum of the areas of the two rectangles:
Total area ≈ 24 + (-16) = 8
(b) To approximate the area under the curve of f(x) = 8x - \(x^2\) from x = 0 to x = 4 using 2 subintervals and evaluating the function at the left-hand endpoints of the subintervals, we can use the left-endpoint rule for approximating definite integrals:
The width of each subinterval is still Δx = 2.
Now, we evaluate the function at the left-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:
f(0) = 8(0) -\(0^2\) =0
f(2) = 8(2) - \(2^2\) =12
Area of the first rectangle = f(0)Δx = 0(2) = 0
Area of the second rectangle = f(2)Δx = 12(2) = 24
The total area under the curve is the sum of the areas of the two rectangles:
Total area ≈ 0 + 24 = 24
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13270-6,570
MATH IS SO AWSOME BRANLY IS SO FUN
Answer:
6700 is the answer
Step-by-step explanation:
13270
-6570
=6700
Answer:
6700
Step-by-step explanation:
subtract 13270 with 6570
13270
6570 -
6700 <— Answer
Lisa bought a treadmill for $925. She made a 20% down payment and financed the rest over 18 months. Find the monthly payment if the interest rate was 11%.
The monthly payment if the interest rate was 11% will be $45.63.
The remaining amount is calculated as,
P = (1 - 0.20) x $925
P = 0.80 x $925
P = $740
The monthly payment is calculated as,
MP = [$740 + ($740 x 0.11)] / 18
MP = $821.4 / 18
MP = $45.63
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The monthly payment is $49.69.
We have,
The amount of the down payment is:
0.20 x $925 = $185
So the amount financed is:
$925 - $185 = $740
Using the formula for the monthly payment on a loan:
= (Pr(1+r)^n) / ((1+r)^n - 1)
where:
P = principal or amount financed = $740
r = monthly interest rate = 11%/12 = 0.0091667
n = total number of payments = 18
Plugging in the values, we get:
Monthly payment
= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)
= $49.69 (rounded to the nearest cent)
Therefore,
The monthly payment is $49.69.
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The average age in a sample of 90 students at City College is 20. As a result of this sample, it can be concluded that the average age of all the students at City College:
If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.
Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.
The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.
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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.
Based on the given information, the average age in a sample of 90 students at City College is 20.
To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:
A subset of a population, which in this case is the group of 90 students at City College.
Population:
The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:
The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:
How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.
However, if the sample is not representative, the conclusion may not be accurate.
To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.
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Find sinR,cosR,tanR,sinS,cosS, and tanS. Express each ratio as a fraction and as a decimal to the nearest hundred th. 7. r=16,5=30,t=34 8. r=10,s=24,t=26
The values of sinR = 5/13, cosR = 12/13, tanR = 5/12, sinS = 12/13, cosS = 5/13, tanS = 12/5.
For the right triangle RST in which r=16, s=30, and t=34, find sinR, cosR, tanR, sinS, cosS, and tanS.
Express each ratio as a fraction and as a decimal to the nearest hundredth.
sinR = r/t = 16/34 = 8/17,
cosR = s/t = 30/34 = 15/17,
tanR = r/s = 16/30 = 8/15,
sinS = s/t = 30/34 = 15/17,
cosS = r/t = 16/34 = 8/17,
tanS = s/r = 30/16 = 15/8.
Therefore sinR = 8/17, cosR = 15/17, tanR = 8/15, sinS = 15/17, cosS = 8/17, tanS = 15/8.
The second right triangle is RST, with r = 10, s = 24, and t = 26.2.
sinR = r/t = 10/26 = 5/13,
cosR = s/t = 24/26 = 12/13,
tanR = r/s = 10/24 = 5/12,
sinS = s/t = 24/26 = 12/13,
cosS = r/t = 10/26 = 5/13,
tanS = s/r = 24/10 = 12/5.
Hence the values are;
sinR = 5/13, cosR = 12/13, tanR = 5/12, sinS = 12/13, cosS = 5/13, tanS = 12/5.
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I'd this solved correctly? and if not can u tell me the error and the answer?
You have a mistake in the first step, you should distribute the 2 first, or divide by two, and after that you can follow the procedure as you were doing. Do you understand it?
\(\begin{gathered} 48+w=80-3w \\ w+3w=80-48 \\ 4w=32 \\ w=\frac{32}{4}=8 \end{gathered}\)w=8 is the answer
I can't asnwer more than one question per session, please begin a new session
Have a great day, please begin a ne
The following system of linear equations has
-3x + 7y = 10
3x + 7y = -8
2. Point B is a point of tangency. Find the radius r of Circle C. B 8 N 10 A
Answer:
C=Radiud ÷2
=
Step-by-step explanation:
B=Radius ÷2
2×3.142
C=2
The lines represented by the equations y=x+5 and 2y-2x=10 are
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Recall:
Two lines that are parallel will have the same slope value.Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.Given:
y = x + 5
2y - 2x = 10
The slope of y = x + 5 is 1.
Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.
2y - 2x = 10
2y = 2x + 10
Divide both sides by 2y = x + 5
Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
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Jessica weighs 10 less than three times as much as her little sister. If x represents her sister's weight, what is an expression Jessica can
use to figure out her own weight? Explain your thinking and how you got your answer.
Answer:
Step-by-step explanation:
J=3x-10
We are told Jessica weighs 10 less than 3 times her sister’s weight and told that her sister’s weight was x.
What is 2 ÷ 2/9 =
THanks :D
Answer:
9
Step-by-step explanation:
hope this helps have a good day
Answer:
9
Step-by-step explanation:
turn it into
2/1 * 9/2 = 18/2 = 9
we are going to look at the number of fish caught based on the day. day 1 is the first day that a new lure was used at a lake. day 2 is the second day that a lure was used at a lake, etc. what type of variables are day (as described above) and number of fish caught? group of answer choices day is quantitative and number of fish caught is categorical. they are both categorical. they are both quantitative.
Day is quantitative and number of fish caught is quantitative.
Day in this context is a categorical variable because it is a label that represents different categories or groups of time. Specifically, it represents the days that a new lure was used at the lake.
The number of fish caught, on the other hand, is a quantitative variable because it represents a numerical quantity, and can be measured and recorded in a numerical form. It can take on different numerical values, and can be analyzed using various statistical techniques.
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If you roll two dice, one red and one blue, what is the probability that the red die shows 5 and the product of the two dice is less than 20?
Type your answer into the box as a decimal. Round to the nearest thousandth.
Write an exponential function to model the following situation.
A population of 130,000 grows 4% per year for 15 years.
How much will the popluation be after 15 years?
Write an exponential function in terms of x.
х
y=10
Answer:
234000
Step-by-step explanation:
Given data
population =130,000
Rate=4%
Time= 15 years
The expression for the growth is
y=P(1+r)^x
substitute
y=130000(1+0.04)^15
y=130000(1.04)^15
y=130000*1.800
y=234000
Hence the new population figure is 234000
Hannah and Dawson have both invested money in savings accounts with APYs of 3.2%. If Hannah's account has a balance of $31,000 and Dawson's account has a balance of $42,000, how much more interest does Dawson earn than Hannah?
Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Can someone please help me ASAP? It’s due tomorrow.
The total number of outcomes for the compound event is m*n
option B.
What is the Counting Principle?The Fundamental Counting Principle states that if there are m ways to do one thing and n ways to do another thing, then there are m*n ways to do both things together.
This applies to compound events that consist of two or more independent events.
For example, suppose you have two dice and you want to know how many possible outcomes there are when you roll them. Each die has 6 possible outcomes, so by the Fundamental Counting Principle, the total number of outcomes for the compound event is 6*6 = 36.
So, for any two independent events with m and n outcomes, respectively, the total number of outcomes for the compound event is m*n.
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The lines shown below are parallel. True or false?
Answer:
yes, true
Step-by-step explanation:
Answer:
the answer is true because they dont intersect
Step-by-step explanation:
About 90% of young adult Internet users (aged 18 to 29) use social network sites. Suppose that a sample survey contacts an SRS of 1500 young adult Internet users and calculates the proportion ^p in this sample who use network sites
STEP 1: What is the standard deviation of ^p? (Round answer to 4 decimal places)
STEP 2: If the sample size were 6000 rather than 1500, what would be the standard deviation of ^p? (Round answer to 4 decimal places)
The standard deviation of ^p is 0.012, rounded to 4 decimal places and the standard deviation of ^p with a sample size of 6000 is 0.006, rounded to 4 decimal places.
Given that 90% of young adult Internet users use social network sites, the probability of success in a single trial, denoted by p, is 0.9. The sample size is n = 1500. We want to find the standard deviation of the sample proportion, denoted by σ^p.
The formula for the standard deviation of the sample proportion is:
σ^p = sqrt[p(1-p)/n]
Substituting the values, we get:
σ^p = sqrt[0.9(1-0.9)/1500] = 0.012
Therefore, the standard deviation of ^p is 0.012, rounded to 4 decimal places.
STEP 2:
If the sample size were 6000 rather than 1500, the new sample size would be n = 6000. Using the same formula as before, we get:
σ^p = sqrt[0.9(1-0.9)/6000] = 0.006
Therefore, the standard deviation of ^p with a sample size of 6000 is 0.006, rounded to 4 decimal places.
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Cost of 4 tables and 3 chairs is $225 and 3 tables and 4
chairs cost $195. Find the cost of 2 chairs and 1 table.
The cost of 2 chairs is = $30
The cost of 1 table = $60
Step-by-step explanation:
Let a table represent x
A chair represents y
4x + 3y = 225.......eq 1
3x + 4y = 195........eq 2
Use elimination method
x - y = 30
x= 30 + y...... Eq 3
Substitute the value of x into equation 1
4(30+ y) + 3y= 225
120 + 4y + 3y= 225
7y + 120= 225
7y= 225-120
7y= 105
y= 15
Substitute the value of y in eq 2
3x + 15 = 195
3x= 195-15
3x= 180
x= 60
Therefore, the cost of 2 chairs is 15 * 2= $30
The cost of 1 table = $60
Answer:
65
Step-by-step explanation:
jenny is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $94 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B
Answer:
until 64 miles company A will charge less than company B, they will charge the same price at 65 miles then company B will charge more.
explanation:
94 = 55 + 0.6m
m = (94-55) / 0.6 = 65
The Company A charge less than Company B when the mileage will be more than 65 .
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.
According to the question
Jenny is going to rent a truck for one day.
Company A :
Charges $94 and allows unlimited mileage.
i.e
Rent of truck for one day = $94
Company B :
Has an initial fee of $55 and charges an additional $0.60 for every mile driven.
Let mile be m
i.e
Rent of truck for one day = $55 + $0.60m
Now, Company A charge less than Company B for mileages
For that we will first find equal point by making both Company's rent equal
Company's A Rent of truck for one day = Company's B Rent of truck for one day
The equation will be :
\(94 = 55 + 0.60m\)
\(39 = 0.6m\)
m = 65
So, at 65 miles both company will rent same but after 65 miles Company B will charge more than Company A .
Hence, The Company A charge less than Company B when the mileage will be more than 65 .
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find the arc length indicated by the bolded arc if the radius is 13 in and the central angle is 30 degrees?
the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees is (13π/6) inches.
To find the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees, follow these steps:
Convert the central angle to radians: Since there are 360 degrees in a full circle and 2π radians in a full circle, you can use the conversion factor (π/180) to convert the central angle from degrees to radians. So, 30 degrees * (π/180) = (30π/180) = (π/6) radians.
Calculate the arc length using the formula: Arc length (L) = radius (r) * central angle (θ), where r is the radius and θ is the central angle in radians. In this case, r = 13 inches and θ = π/6 radians.
Substitute the values into the formula: L = 13 * (π/6)
Solve for L: L = (13π/6)
Simplify the fraction: L = (13π/6) inches
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2.
While driving, Maurice averages a speed of 45 miles per hour. Write and expression for
the distance he would cover in h hours.
Answer:
I don't know
Step-by-step explanation:
I don't know
What is the y intercept of 60x+55y=660 [with work shown]
Answer:
(11, 0)
Step-by-step explanation:
to find the y intercept, set y to 0.
60x + 55y = 660
60x + 55 * 0 = 660
60x = 660
60x/60 = 660/60
x = 11
y intercept is (11, 0)
Is the event independent or dependent? You toss a penny and you toss a
dime.
O dependent
O independent
Answer:
the event would be independent.
Step-by-step explanation:
because the penny and dime are two seperate variables