Answer:
the first and the seconed and the fourth
Aiden wants to buy a calculator for $13 and as many gel pens as
he can for $2.50 each. He has no more than $25 to spend. How
many gel pens can he buy?
1. Write an inequality for the relationship between the amount money Aiden
has and the number of gel pens g hs can buy.
cost of 1
cost of 1
number of
calculator
can spend
+
money Aiden
.
gel pen
gel pens
Answer:
Aiden can buy 2 gel pens after buying the calculator.
3x +3y = 42
x-3y=-22
Answer:
its b
Step-by-step explanation:
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
your answer is k=10 the step by step is kn the picture
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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heeellllllllllllllllppppppppppp
Answer:
Step-by-step explanation:
Xét ∆ABC có:
C= 180-30-45=105°
D= 180-105-45÷2= 75-22,5= 52,5°
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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What is the GCF of 88 and 66?
Answer:
the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)
Step-by-step explanation:
have a good day!!
A binary star system consists of two stars of masses m1 and m2. The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass mi has a centripetal acceleration of magnitude a1.
Find a2, the magnitude of the centripetal acceleration of the star with mass m2 Express the acceleration in terms of quantities given in the problem introduction.
Answer:
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
Step-by-step explanation:
Since the gravitation force of attraction of the center of mass on m₁ equals the centripetal force, then
G(m₁ + m₂)m₁/R₁ = m₁a₁ where (m₁ + m₂) = total mass of the system and R₁ = distance of m₁ from the center of mass
So, G(m₁ + m₂)m₁/R₁² = m₁a₁
G(m₁ + m₂)m₁/m₁a₁ = R₁²
R₁² = G(m₁ + m₂)/a₁
R₁ = √[G(m₁ + m₂)/a₁]
The distance of m₂ from the center of mass is thus R₂ = R - R₁ = R - √[G(m₁ + m₂)/a₁] where R is the distance between the two stars.
Also, the gravitation force of attraction of the center of mass on m₂ equals the centripetal force, then
G(m₁ + m₂)m₂/R₂ = m₂a₂ where (m₁ + m₂) = total mass of the system and R₂ = distance of m₂ from the center of mass
So, G(m₁ + m₂)m₂/R₂² = m₂a₂
G(m₁ + m₂)m₂/m₂R₂² = a₂
a₂ = G(m₁ + m₂)/R₂²
Substituting R₂ into the equation, we have
a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²
Last year the cost of Tom's train ticket was £42 This year the cost of Tom's train ticket increased to £50 Write down the increase in the cost of Tom's ticket as a fraction of last year's cost. (2 marks
Answer:
19.048%
Step-by-step explanation:
The formula for the increase in cost will be :
[(New cost - Original Cost)÷Original Cost] × 100
So let's substitute values in from the question :
[(50-42)÷42] × 100
[8÷42] × 100
0.19048 × 100
19.048%
Hope this helped and have a good day
Given the following computer printout for a set of sample data, which one of the following represents the value of the Interquartile Range?
Descriptive Statistics: Cycle Time
Variable N Mean StDev Variance Minimum Q1 Median Q3 Maximum
Cycle Time 52 31.808 5.333 28.436 21.700 27.825 31.000 36.075 44.000
A. 22.3
B. 3.175
C. 5.075
D. 8.25
Answer: D. 8.25
Step-by-step explanation: A data set can be divided into 4 equal parts, called Quartile. A quartile divides the data into three points:
Lower quartile: Q1;Median: Q2;Upper quartile: Q3;Interquartile Range (IQR) is a measure of variability based on data divided into quartiles or the measure of where the bulk of the values are.
To calculate interquartile range:
IQR = Q3 - Q1
The table shows Q1 = 27.825 and Q3 = 36.075, then
IQR = 36.075 - 27.825
IQR = 8.25
The value of interquartile range is 8.25.
What is the area in square feet of 15/48
Answer:
720 ft²
Step-by-step explanation:
just multiply 15 by 48 and you will get the square feet of 15/48 :)
Please hurry I need this fast
Answer:
Fourth choice (9,-2)
Step-by-step explanation:
Fourth choice (9,-2)
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
please helpppp .....
3) There are 10 sides, so the sum of the angles is \(180(10-2)=1440^{\circ}\)
4) There are 9 sides, so the sum of the angles is \(180(9-2)=1260^{\circ}\).
Find the 6terms of the series 247
The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.
To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.
Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.
The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.
Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.
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1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 6, given that the green one is either 4 or 1.
2. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 6, given that the sum is 11.
Answer:
1. 1/6
2. 1/6
Step-by-step explanation:
Let A be the event that the sum of the two die is 6 and B be an event that the green die is either 4 or 1.
The conditional probability will be given by P (A/B) = P (A∩B)/ P (B).
Now the total sample space consists of 36 outcomes .
And to find (A∩B) we need to find the outcomes in which green die is either 4 or 1 and the sum of the two die is 6.
So when green is 1 red must be 5
So when green is 4 red must be 2
So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
Therefore the probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
So when green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
The total number would be 12 .
So probability of green die having 1 or 4 is given by = P (B)= 12/36
Now the conditional probability = P (A/B) = P (A∩B)/ P (B)=1/18/ 1/3
= 3/18= 1/6
2. Similarly we find the conditional probability of the two die when the red one is 6, given that the sum is 11.
When red is 6 the green must be 5 to get 11. So the probability
=P (A∩B)= 1/36
Now we find the probability of red die having 6 =P(B)= 6/36
Now the conditional probability = P (A∩B)/P(B) = 1/36/ 6/36= 1/6
Answer 1:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1.
Conditional probability Formula :
P (A/B) = P (A∩B)/ P (B).
Total sample space=36 outcomes
Conditions are :
So when green is 1 red must be 5 So when green is 4 red must be 2 So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
The probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
When green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
Total number = 12
P (B)= 12/36
Therefore, conditional probability = P (A/B)
P (A/B) = P (A∩B)/ P (B) P (A/B)=1/18/ 1/3 P (A/B)= 3/18 P (A/B)= 1/6
The conditional probability of the indicated event when two fair dice are rolled will be 1/6.
Answer 2:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1. The sum is 11.
Condition :
When red is 6 the green must be 5 to get 11.
P (A∩B)= 1/36
The probability of red die having 6 =P(B)= 6/36
The conditional probability= P (A∩B)/P(B)
P (A∩B)/P(B) = 1/36/ 6/36P (A∩B)/P(B)= 1/6The conditional probability of the indicated event when two fair dice are 1/6.
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In the 2.5 minutes between innings in a baseball game, a hotdog launcher launches 12 hotdogs into the crowd. Clara, a member of the mascot team, wants to know how long she has to launch each hotdog. What is the unit rate in seconds per hotdog?
The unit rate in seconds per hotdog is 12.5 seconds.
The time between the innings in a baseball game is 2.5 minutes.The hotdog launcher has to launch a total of 12 hotdogs into the crowd within the time between the innings.Clara is a member of the mascot team. She has a limited amount of time to launch each hotdog.Let us convert the time in minutes to seconds.2.5 minutes equals 2.5*60 seconds.The time is 150 seconds.The total number of hotdogs to be launched is 12.The amount of time available for each hotdog is the rate at which she can launch hotdogs into the crowd.The unit rate in seconds per hotdog is 150/12.The unit rate in seconds per hotdog is 12.5 seconds.To learn more about rate, visit :
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I need this please help me
An airplane can travel 370mph in still air. If it travels 2737 miles with the wind in the same length of time it travels 2443 miles against the wind, what is the speed of the wind?
Given:
An airplane can travel 370 mph in still air
If it travels 2737 miles with the wind in the same direction of the speed
Let, the speed of the wind = x
speed = distance over the time
\(x+370=\frac{2737}{t}\rightarrow(1)\)And it travels 2443 miles at the same time against the wind
\(-x+370=\frac{2443}{t}\rightarrow(2)\)Solve the equations to find x, and t
Add the equations:
\(\begin{gathered} 370\cdot2=\frac{1}{t}(2737+2443) \\ t=\frac{2737+2443}{2\cdot370}=7 \end{gathered}\)Substitute with (t) into equation (1) to find (x)
\(\begin{gathered} x+370=\frac{2737}{7} \\ x+370=391 \\ x=391-370 \\ x=21 \end{gathered}\)So, the answer will be:
The speed of the wind = 21 mph
will give brailiest.
2 3/4 + 5 1/2
PLEASE I NEED ANSWER URGENT
A certain disease has an incidence rate of 0.8%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is approximately 0.194.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.
P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.
Now,
To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:
P(A|B)=P(B|A)*P(A)/P(B)
where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.
In this case, let A be the event of having the disease and B be the event of testing positive.
The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.
The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).
The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).
We can compute P(B) using the law of total probability:
P(B) = P(B|A)*P(A) + P(B|A')*P(A')
= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))
= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)
= 0.0328
Now we can use Bayes' theorem to compute P(A | B):
P(A | B) = P(B | A) * P(A) / P(B)
= (1 - P(B' | A)) * P(A) / P(B)
= (1 - 0.06) * 0.008 / 0.0328
= 0.194
Therefore,
the probability will be 0.194.
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1) Nat's grocery bill was $150, which included a 5% club
discount. What was Nat's bill before the discount?
Write and solve an equation.
Answer:
$157.89
Step-by-step explanation:
you could say that 150 is 95% of what the original bill was
in equation form: 150 = .95x
150/.95 = 158.89
158.89 = x
126=76
132=32
208=58
261=?
Answer:
dude I ain't no albert einstein but I think it's 61
Step-by-step explanation:
stay groovy man
Darcy bought 4 kilograms of peanuts. She put an equal amount into 5 containers. How many kilograms did she put in each container?
The number of kilograms which Darcy put in each container is equal to 0.8 kilogram.
What is the unit rate?In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.
In order to determine the unit rate, we would use the following mathematical equation (formula);
Unit rate = Number of kilograms of peanuts/Number of containers
Unit rate = 4/5
Unit rate = 0.8 kilogram.
In conclusion, we can reasonably infer and logically deduce that Darcy put 0.8 kilogram in each of the five containers.
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HELP PLS, ill reward w brainlist or whatever those things r JUST HELP
Answer:
I am not exactly sure of the answer, i am just trying to help
I think the angle O is 135
The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.
I dont know if you understan what i am trying to say
Solve the inequality
Answer:
x ≥ -64
Step-by-step explanation:
"3/4ths of a number is greater than or equal to -48"
3/4 of a number ≥ -48
Let's say the number is x.
(3/4)x ≥ -48
Multiply both sides by 4.
3x ≥ -192
Divide both sides by 3.
x ≥ -64
16 Bob is at a Carnival and will spin each spinner one time.
AB
4
1966
3
5
2
6 1
16
2
5
What is the probability that the spinner on the left will land on a 6 and the
spinner on the right will land on a shaded area?
3
4
213112
17 The equation 3x + 4 = 16 is modeled below:
The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.
The probability that the spinner on the left will land on a 6 is calculated as,
P₁ = 2 / 12
The spinner on the right will land in a shaded area is,
P₂ = 8 / 12
The total probability will be,
P = ( 2 / 12 ) x ( 8 / 12 )
P = 1 / 9
Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
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