Answer:
Chris - y marbles
Becky - x marbles
Dan - z marbles
y = 2 x
z = y + 7
x + y + z = 57
z = 2 x + 7
x + 2 x + 2 x + 7 = 57
5 x + 7 = 57
5 x = 57 - 7
5 x = 50
x = 50 : 5
x = 10, y = 20, z = 27
This means that Dan is not correct.
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
you can start by setting the equation to "?+ ? + ? = 57"
this is because we know for sure that all of the marbles combined is 57
then you can say that b is a variable to show how many marbles Becky has
so now your equation is "? + ? + b = 57"
we know that Chris has two times as many marbles as Becky, so that is like saying "Chris = b + b".... this is the same as 2b
we can put that into the equation and get "? + 2b + b = 57"
Dan has seven more marbles than Chris so its like saying "Dan = 2b + 7"
we can put this into the equation and get "2b + 7 + 2b + b = 57"
you solve this equation to get b = 10
this means that Becky has 10 marbles, Chris has 20, and Dan has 27
(we know this by plugging in the value of b into the equations for Dan and Chris)
Now back to the original question: Dan said that he can give some marbles to Becky in order to make them all have the same amount of marbles, is Dan right?
the answer is no
Dan can only give seven marbles to Becky because if he gives seven marbles to Becky, Dan and Chris will have the same amount, 20. But Becky will only have 17.
Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
The probability that at least 3 out of 9 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.8575.
To find the probability, we can use the binomial probability formula. Let's define a success as an adult using their smartphone in meetings or classes, with a probability of success (p) of 0.57.
We want to find the probability of getting at least 3 successes in 9 trials. This includes scenarios where we have 3, 4, 5, 6, 7, 8, or 9 successes. We can calculate the probability for each of these scenarios and sum them up.
Using the binomial probability formula:
P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) is the binomial coefficient, n is the number of trials, and k is the number of successes.
Calculating each term and summing them up:
P(X ≥ 3) = C(9, 3) * (0.57)^3 * (1 - 0.57)^(9 - 3) + C(9, 4) * (0.57)^4 * (1 - 0.57)^(9 - 4) + C(9, 5) * (0.57)^5 * (1 - 0.57)^(9 - 5) + C(9, 6) * (0.57)^6 * (1 - 0.57)^(9 - 6) + C(9, 7) * (0.57)^7 * (1 - 0.57)^(9 - 7) + C(9, 8) * (0.57)^8 * (1 - 0.57)^(9 - 8) + C(9, 9) * (0.57)^9 * (1 - 0.57)^(9 - 9)
Using the binomial coefficient values and simplifying:
P(X ≥ 3) ≈ 0.8575
The probability that at least 3 out of 9 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.8575. This means that in a random selection of 9 adult smartphone users, there is an 85.75% chance that at least 3 of them will use their smartphones in meetings or classes.
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cameron saves $14 every 3 months. his dad gave him $125 to start a savings account at the bank. how much money does cameron have at the end of each month?
Answer: about $4.67 a month
Explanation: If you figure out he makes a year her makes $56 and that's by multiplying 14 and 4, then you divide 56 by 12 and the you get a decimal so it'll round to $4.67
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts.
Dried Fruit
(oz)
Peanuts
(oz)
3
27
45
80
What information is missing? Fill in the missing information to identify equivalent ratios for Ms. Carey
Answer:
Dried Fruit Peanuts
(oz) (oz)
4 7
28 49
52 91
Step-by-step explanation:
Y=2 when x= 1/4
Find the variation k
Answer:
ther is no k
Step-by-step explanation:
A bike is travelling at a constant speed. After 35 minutes, it travels 7 miles. Which table represents the relationship between the time in minutes, x, and the distance the bike travles, y?
Answer:
Table 3
x | y
50 | 10
60 | 12
70 | 14
80 | 16
Step-by-step explanation:
x = time in minutes
y = distance travelled
Given that the bike travelled 7 miles after 35 minutes at a constant speed, the rate of change = [tex] \frac{7}{35} = \frac{1}{5} [/tex].
Thus, the table that represents the relationship between the time in minutes, x, and the distance the bike travles, y would have the same rate of change of ⅕.
Calculate the rate of change of each table using any two given pairs on the table:
Table 1: using (50, 10) and (55, 12)
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{55 - 50} = \frac{2}{5} [/tex]
Table 2: using (60, 10) and (72, 12)
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{72 - 60} = \frac{2}{12} = \frac{1}{6} [/tex]
Table 3: using (50, 10) and (60, 12)
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{60 - 50} = \frac{2}{10} = \frac{1}{5} [/tex]
This table has the same rate of change.
Table 4: using (70, 10) and (84, 12)
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{84 - 70} = \frac{2}{14} = \frac{1}{7} [/tex]
Table 3 represents the relationship between the time in minutes, x, and the distance the bike travles, y.
Zeke bought a 1250 bobsled on the installment plan he made a 450down payment and has to make monthly payments of 48.25for 2.5 years what is the finance charge
The Finance charge for Zeke's bobsled purchase is $197.50.
To find the finance charge for Zeke's bobsled purchase, we need to calculate the total amount he will pay in monthly payments over the 2.5-year period and subtract the initial purchase price.
Given:
Purchase price (bobsled) = $1250
Down payment = $450
Monthly payment = $48.25
Duration of payments = 2.5 years
Step 1: Calculate the total amount paid in monthly payments.
First, we need to determine the total number of monthly payments Zeke will make over 2.5 years. Since there are 12 months in a year, the total number of payments will be 2.5 years * 12 months/year = 30 payments.
Next, we calculate the total amount paid in monthly payments by multiplying the monthly payment by the number of payments:
Total monthly payments = Monthly payment * Number of payments
Total monthly payments = $48.25 * 30 = $1447.50
Step 2: Calculate the finance charge.
The finance charge is the difference between the total amount paid in monthly payments and the purchase price:
Finance charge = Total monthly payments - Purchase price
Finance charge = $1447.50 - $1250 = $197.50
Therefore, the finance charge for Zeke's bobsled purchase is $197.50.
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Please help me
Find 2a for a = 3.
Answer:
6
Step-by-step explanation:
2(3) = 6
Answer:
6
Step-by-step explanation:
Replace the variable with the given value and evaluate.
[tex]2a\\\\a=3\\\\2(3)=\\\\\boxed{6}[/tex]
Hope this helps.
Given the lengths of two sides of a triangle. write an inequality to indicate between which two numbers the length of the third side must fall. a.8 and 13. b.11.5 and 23.6. c.22 and 15. d.13.2 and 6.7. e.23 and 44
Answer:
5 < x < 2112.1 < x < 35.17 < x < 376.5 < x < 19.921 < x < 67Step-by-step explanation:
Given pairs of side lengths that represent two sides of a triangle, you want an inequality representing possible lengths for the third side.
Triangle inequalityThe triangle inequality requires the sum of the two shortest sides be greater than the longest side. Translated to this problem, it means the third side must have a length between the difference and the sum of the other two sides. For third side x, we require ...
a. 8 and 1313 -8 < x < 13 +8
5 < x < 21
b. 11.5 and 23.623.6 -11.5 < x < 23.6 +11.5
12.1 < x < 35.1
c. 22 and 1522 -15 < x < 22 +15
7 < x < 37
d. 13.2 and 6.713.2 -6.7 < x < 13.2 +6.7
6.5 < x < 19.9
e. 23 and 4444 -23 < x < 44 +23
21 < x < 67
<95141404393>
Gloria's pontoon boat holds 24 gallons of gas.
Before they went out on the lake, Gloria decided
to fill the tank by adding 13-4 gallons of gas.
How many gallons of gas were in the tank before
Gloria filled it?
Answer:
ok so if the girl added 13 gallons of gas 11 gallons were already there, if 14 gallons then 10 gallons were there, if 13,4 then 10,6 gallons were already there
The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperature.
A graph titled Hours at Pool has Outside Temperature (degrees Fahrenheit) on the x-axis and Number of Hours at Pool on the y-axis. Point (90, 2) is outside of the cluster.
Which data value would cause the interpretation of the data set to be understated?
Answer:
the answer is 75
Step-by-step explanation:
Answer:
The Correct Answer is (90,2)---C
Step-by-step explanation: The correct answer is C 90,2.
5.) The two figures below have the same perimeter. Set up and solve an.
equation to find the value of x. Write your answer as a decimal. *
12x
12x
6x + 9
12x
X + 7
12x
12x
X + 10
How to do 27 as a product of primes,
Answer:
27 is a composite number. 27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.
this can also be written 27 = 3³
hope that helps :)
7. If 26y - 4 = 68 + 2y , then y=?
Answer:
y = 3
Step-by-step explanation:
We move all terms to the left:
26y-4-(68+2y)=0
We add all the numbers together, and all the variables
26y-(2y+68)-4=0
We get rid of parentheses
26y-2y-68-4=0
We add all the numbers together, and all the variables
24y-72=0
We move all terms containing y to the left, all other terms to the right
24y=72
y=72/24
y=3
What is the value of x in the equation 2(6x+4)-6+2x=3(4x+3)+1
Answer: the answer is
x=4
np;)
Step-by-step explanation:
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
8.68x+ 25.84 - 21.6 = 2.3x +17
Answer: X = 2
Step-by-step explanation:
8.68x - 2.3x = 17 - 4.24
6.38x = 12.76
x = 2
There is a supplementary angle with a ratio of 3:7. What is the measure of the larger angle?
Answer:
126 degrees
Step-by-step explanation:
3:7 means a total of 10; divide 180 by 10 to get 18; each 1 is 18; 18 * 7 is 126
Answer:
126°
Step-by-step explanation:
Step 1:
3 : 7 Ratio
Step 2:
3x + 7x = 180° Substitution
Step 3:
10x = 180° Combine Like Terms
Step 4:
x = 180° ÷ 10 Divide
Step 5:
x = 18°
Step 6:
18° × 7 Multiply
Answer:
126°
Hope This Helps :)
13. The graph shows the proportional relationship of the cost of movie tickets. Using the graph, determine the constant of proportionality.
Answer:
10
Step-by-step explanation:
The slope of a graph is the same as the constant of proportionality of the equation.
slope= rise/run= 60/6=10
Need help for geometry. I think its B, but Im not sure! please ONLY help if you know
Answer:
You have the answer correct. (x+4, y-2)
Step-by-step explanation:
Point B' is 2 units down from Point B
Point B' is 4 units right from Point B
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?
Enter your answer, separating hours and minutes with a colon, in the box.
You spend no more than 3 hours each day watching TV and playing football. You play football for at least 1 hour each day. What are the possible maximum number of hours you can spend on each activity in one day?
Answer:
1hour and 30 minutes each
Look at the graph. All of the following statements are true except
Answer:
The incorrect statement is decreasing from (-∞, -1)
Step-by-step explanation:
Intercepts are where it touches the axis
The x intercepts are -2 and 1
Increasing is where it goes up
We are increasing from (-∞, -1) and (1,∞)
Decreasing is where it goes down
We are decreasing from ( -1,1)
The incorrect statement is decreasing from (-∞, -1)
Please help quick ill give you good rating
Answer:
y=20
Step-by-step explanation:
Kelvin leaves home and walks 5 blocks east and 10 blocks north to get to the ball park. How far is the ball park from Kelvin’s home if he were to take a direct path? If necessary, round to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
Enter an equation in point-slope form for the line.
Slope is 1 and (−7, −1) is on the line.
The equation of the line in point slope form is: ________
Use the given integers to make each equation true: -27, -19, -45, -56,-34, -67
1.___+___+= -91
Answer:
S
Step-by-step explanation:
S
d) [5 marks] Consider the following demand function for the quantity demanded of product Qt as a function of its market price Pt In Qt = ao + α₁ ln P₁ + a₂ X₁ + EDt Consider also the followin
Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?
To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:
Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.
Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.
Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.
Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.
Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.
In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.
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The complete question may be like:
5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:
Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt
where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.
Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.
Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative StartFraction pi Over 2 EndFraction, 0, StartFraction pi Over 2 EndFraction, pi, StartFraction 3 pi Over 2 EndFraction. Column 2 is labeled y with entries 0, 6, 0, negative 6, 0.
The function represented by the table has the form y = acos(bx). Which of the following statements are true? Check all that apply.
The function increases on the interval (π, 2π).
The graph is compressed horizontally by a factor of One-half
The frequency is StartFraction 1 Over 2 pi EndFraction
The maximum value of the function is 6.
The period is π.
Answer:
ACD on edge2020
Step-by-step explanation:
The correct values function represented in the table is of y = acos(bx) are-
The function increases on the interval (π, 2π).The frequency is StartFraction 1 Over 2 pi EndFraction ([tex]\pi[/tex]/2)The maximum value of the function is 6.FunctionWhat is increasing function?A function whose value increases algebraically as the independent variable increases algebraically across some range.
What is decreasing function?A function whose value declines as the independent variable rises over a specified range is referred to as a decreasing function.
Description for the given function:Refer the attached table and graph.
Option (1) The function increases on the interval (π, 2π) is correct.
By graph, it is clear that the value of function is increasing between interval (π, 2π).
Option (2) The graph is compressed horizontally by a factor of One-half is incorrect.
Option (3) The frequency is StartFraction 1 Over 2 pi EndFraction is correct.
frequency = 1/time period
From the graph, time period in which function is repeating is 2π. thus frequency = 1/2π.
Option (4) The maximum value of the function is 6 is correct.
As shown in the graph, the range for the function goes up to 6.
Option (5) The period is π is incorrect.
The period for the the function is repeating is 2π not π.
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How much should you set aside each year (end of the period) to accumulate $80,000 after 15 years? The interest rate is 10 percent.
*Use the PV-FV tables to solve all problems and show how you arrived at your answer.
Approximately $334,728.87 should be set aside each year at the end of the period to accumulate $80,000 after 15 years with an interest rate of 10 percent.
To determine the amount that should be set aside each year to accumulate $80,000 after 15 years with an interest rate of 10 percent, we can use the Present Value-Future Value (PV-FV) tables.
First, let's find the Present Value Factor (PVF) for the given interest rate and time period. The PVF represents the value of $1 received or paid in the future, expressed in today's dollars.
From the PV-FV table for an interest rate of 10 percent and a time period of 15 years, we find the PVF to be 0.239.
Next, we divide the desired future value ($80,000) by the PVF to calculate the amount that should be set aside each year:
Amount to set aside each year = Future Value / PVF
= $80,000 / 0.239
≈ $334,728.87
Therefore, approximately $334,728.87 should be set aside each year at the end of the period to accumulate $80,000 after 15 years with an interest rate of 10 percent.
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if I have 32 apples and I ate one, then bought 5 more and gave away 17, how many apples would I have left?
Answer:
You would have 19 apples left
Step-by-step explanation:
32-1=31
31+5=36
36-17=19
Solve for x.
3x + 7y - 12
Step-by-step explanation:
3x+7y-12=0
3x+7y=12
3x=12-7y
x=12-7y/3