To find the total distance Elena walked we have to divide it into two parts:
"Elena walked 12 miles"
"And walked 1/4 of this distance"
Mathematically this means:
\(12+(\frac{1}{4}\times12)\)1/4 of 12 miles is 3 miles! So the total distance is 12 + 3 = 15 . Let's see the alternatives:
A) Do not apply (total not 15 miles).
B) Do not apply (total not 15 miles).
C) Correct!
D) Correct (not that if you put 12 in evidence the expression is the same as it is on C).
E) Do not apply (total not 15 miles).
F) Correct! (total is 15 miles --> 12x5 = 60/4 = 15).
Look at the list of test scores below from a math test. What is the mode for the data?
36, 78, 54, 70, 78, 62, 88, 78, 45, 62, 50
Word Bank:
36 88 78 62 64
I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
Aiden ha a gro income of 63,000 and take the tandard deduction. Their total taxe due are 6,628
A) what i their taxable income
B) what i their marginal rate
C) what i their effective rate? Round to the nearet hundredth of a percent
If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
What is your taxable income?The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.
What is minimum taxable income?The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.
Taxable income
a. Taxable income:
Taxable income=Gross income - Total taxes due
Taxable income=$63,000-$6,847.50
Taxable income=$56,152.5
b. The marginal tax rate for taxable income under the income bracket of of $40,526 to $86,375 is 22%.
c. Effective tax rate:
Effective tax rate = Total taxes due/ Taxable income×100
Effective tax rate =$6,847.50/$56,152.5×100
Effective tax rate =10.869%
Effective tax rate =10.87% (Approximately)
Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
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SOMEONE HELP ME PLEASE
Answer:
52.8988%
Step-by-step explanation:
Add the bach degrees together and divide it by the total number of degrees
I need help on this asap!
A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.
A graph of the system of inequalities is shown on the coordinate plane below.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of HD Big View television produced in one day.Let the variable y represent the number of Mega Tele box television produced in one day.Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox takes 3 person-hours to make, a linear equation to describe this situation is given by:
2x + 3y = 192.
Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;
x + y = 72
For the constraints, we have the following system of linear inequalities:
x ≥ 0.
y ≥ 0.
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The best player on a basketball team makes
80% of all free throws. The second-best player makes
75% of all free throws. The third-best player makes
65% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next
80 attempts. Explain.
Expected number of free throws in 80 attempts:
Best player = 64
2nd best player = 60
3rd best player = 52
We have to given that,
The probability that best player makes free throw, p1 = 0.8
The probability that second-best player makes free throw, p2 = 0.75
The probability that third-best player makes free throw, p3 = 0.65
Here, Total number of attempts made in free throws, n = 80.
Since, The estimated number of free throws that any player makes is defined by:
E ( Xi ) = n × pi
Where, Xi = Player rank
pi = Player rank probability
Hence, Expected value for best player making the free throws would be:
E (X1) = n × p1
= 80 x 0.8
= 64 free throws
Expected value for second-best player making the free throws would be:
E (X2) = n*p2
= 80 x 0.75
= 60 free throws
Expected value for third-best player making the free throws would be:
E (X3) = n*p3
= 80 x 0.65
= 52 free throws
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solve , √(5*5) + √(6*6) please ASAP
Step-by-step explanation:
hope it is helpful to you
Answer:
\(11\)
Step-by-step explanation:
\(\sqrt{5*5} +\sqrt{6*6}\)
\(\sqrt{5^{2} } +\sqrt{6^{2} }\)
\(5+\sqrt{6^{2} }\)
simplify the roots
\(5+6\)
calculate
11 is your answer!!
\(---------\)
hope it helps...
have a great day!!
Sara owns a used furniture store. She bought a chest for 42$ and sold it for 73.50. What percent did she mark up the chest?
Answer:
75%
Step-by-step explanation:
We are given that Sara bought a chest for $42, and then sold it for $73.50.
Recall that when finding by how much something was marked up, you should use the following formula:
(new price-original price)/(original price)
Let's substitute the values, like so:
\(\frac{73.50-42}{42}=\\\\ \frac{31.50}{42}\)
Now, set up a proportion to find what this fraction is as a percentage:
\(\frac{31.5}{42} =\frac{x}{100} =\\42x=3150=\\x=75\)
So, the price was marked up by 75%.
what is the answer to 805÷24 plz tell me
Answer:
33.5416666667
Step-by-step explanation:
805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54
805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below
Question 9 of 10
Given the lease terms below, find the total lease cost, assuming that the
deposit is nonrefundable.
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O A. $10,794
OB. $11,100
O c. $14,046
O D. $14,678
The total lease cost assuming that the deposit is nonrefundable is $14046.
What is Meant by Lease Cost?The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.
Given:
Length of lease: 24 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
So, Monthly payment= $479
So, Monthly payment after 24 month
= 11496
Thus, total lease cost = Down payment + Security deposit + Acquisition
fee
+ payment for 24 months
Total lease cost = 1500+ 350+ 700+ 11496
= $14046
Hence, the lease cost is $14046.
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Simplify the scalar multiplication on the matrix.
Answer:
third option
Step-by-step explanation:
Given
3 \(\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]\)
Multiply each element in the matrix by 3
= \(\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]\)
= \(\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]\)
Answer:
C.
Step-by-step explanation:
caitlyn has found that the total fertility rate for montana is 1.73. what other piece of information would caitlyn need to predict how many babies will be born this year in montana?
Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.
In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.
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Dennis read 30% of his book on Tuesday and of his book on Wednesday. If he started the book on Tuesday, what fractional part of the book did he have left to read after Wednesday?
Answer:
1/2x
Step-by-step explanation:
Dennis read 30% of his book on Tuesday and 1/5 of his book on Wednesday. If he started the book on Tuesday, what fractional part of the book did he have left to read after Wednesday?
Total pages of the book = x
Tuesday = 30%
= (30/100)x
= 3/10x
Wednesday = 1/5x
3/10x + 1/5x
= 3x+2x/10
= 5/10x
= 1/2x
what fractional part of the book did he have left to read after Wednesday
= x - 1/2x
= 2x-x/2
= x/2
= 1/2x
Find the value of the variable p and YZ if Y is between X and Z, XY=3p, YZ=2p-1, and XZ=6p-6
Using the segment addition postulate, the value of p = 5, and YZ = 9 units.
How to Apply the Segment Addition Postulate?Since point Y lies between points X and Z, the three points are collinear, therefore, based on the segment addition postulate, XY + YZ = XZ.
Given the following:
XY = 3p
YZ = 2p - 1
XZ = 6p - 6
Substitute
3p + 2p - 1 = 6p - 6
Add like terms
5p - 1 = 6p - 6
5p - 6p = 1 - 6
-p = -5
p = 5
YZ = 2p - 1
Plug in the value of x
YZ = 2(5) - 1
YZ = 9 units.
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Write the equation of the graph below.
Answer:
C . y = 2(x+1)^2 - 3 is the equation
4-b =2-a
what the answer
Answer:
Solve for b: b = 6 - a
Solve for a: a = 6 - b
Step-by-step explanation:
There are two ways we can solve this, solve for a and solve for b.
Lets solve for b first
\(4-b=2-a\)
Add 4 on both sides
\(b=2-a+4\)
Simplify
\(b=6-a\)
Now lets solve for a
\(4-b=2-a\)
Flip the equation
\(2-a=4-b\)
Add 2 on both sides
\(a=4-b+2\)
Simplify
\(a=6-b\)
A bike wheel has a 16-inch diameter. Approximately how far will the wheel travel in three rotations? Use 3.14
for π
Answer:
151 inches
Step-by-step explanation:
Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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for a pen 1 millimeter or one liter
Answer:
If you are measuring the length of the pen it would be millimeter, if you are measuring volume it would be a liter. Hope this helps!
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
Part IV: Last year's winner (9 points) Your sponsor will need to know how your average speeds compare to the speeds of past winners. In Part IV, you'll find out how to calculate boat speeds in knots (nautical miles per hour).
1. What was the winning time of last year's race for your city and boat? (2 points, one for each leg)
2. Do you know how fast last year's winner was traveling? (2 points)
3. What information do you need to know to calculate last year's winning speed? Remember, the distance traveled (length of the course) is equal to the rate (boat's speed) times the time. (2 points) A nautical mile is 6076 feet. A speed of one nautical mile per hour is a knot. In the next two questions, you will convert a speed in feet per minute to knots.
4. If you travel 1000 feet in 5 minutes, what is your speed in feet per minute? (1 point)
5. What is your speed in knots? Hint: Use the number of minutes in an hour to convert the speed to feet per hour. Then use the number of feet in a nautical mile to convert feet per hour to knots. (2 points: 1 point for finding the speed in feet/hr. 1 point for converting to knots)
Using the information given in the table, and the speed - time relationship, the solutions to the exercises goes thus :
Using the information given in the table :
1.) The winning time for last year's race will be the lowest time on the table. Using the winning time column, the winning time for each city is :
Sydney = 14.75 minutes San Francisco = 16.25 minutes Mykonos = 25.5 minutes2.)
The winning time of past winners cannot be determined as the exact distances of each city isn't given.
3.)
The information required to calculate speed is distance and time ;
Speed = (distance / time)4.)
Distance = 1000 feets Time = 5 minutesDistance = 1000/5 = 200 ft/min
5.)
Speed in Knots ;
Speed in feets per hour
60 minutes = 1 hour200 ft/ min × 60/1 hour = 12000 feets per hour
Speed in nautical mile per hour
1 nautical mile = 6076 feets(12000 ft/hr) × (1/6076)feets = 1.975 nautical miles per hour
Therefore, speed in knots is 1.975 knots.
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suppose that the slope parameter in a simple linear regression model is β1 = 3.52. what does this suggest about the nature of the relationship between x and y?
A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).
Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.
The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.
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Mediciones recientes del fondo del mar que se extiende a lo largo de las crestas a medio océano muestran que la deriva continental es del orden de 4 cm. Suponga que este valor ha sido constante a través del tiempo y considere la distancia actual entre Sudamérica y África como 5000 millas. ¿Cuánto tarda Aproximadamente pangea en fragmentarse?
Usando proporciones, hay que la pangea tardra aproximademente 20,116,750 años para fragmentar-se.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.
La deriva continental es del orden de 4 cm al año. La distancia actual entre Sudamérica y África es de 5000 millas. En cm, esta distancia es la seguiente:
5000 millas = 5000 x 160934 cm = 80,467,000 cm.
Asi, el tiempo que levará para la pangea fragmentar-se es:
t = 80,467,000/4 = 20,116,750 años
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In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.
1. Which of the graphs is most likely to represent the graph of daylight for the month after the spring equinox?
2. Which of the graphs is most likely to represent the graph of daylight for the month after the autumnal equinox?
3. Why are the other graphs not likely to represent either month?
PLEASE HELP
Graph A is most likely to represent the daylight for the month after the spring equinox because it shows a straight line with a positive slope.
Graph D is most likely to represent the daylight for the month after the autumnal equinox because it shows a straight line with a negative slope.
Graph E shows a gradual increase in daylight, but it is not a straight line, which suggests that the rate of change is not constant over time.
What is the Graph?
In mathematics, a graph is a collection of nodes or vertices that are connected by edges or links.
As per the given information, the daylight gained after the spring equinox and the daylight lost after the autumnal equinox are both at a rate of 2 minutes per day. Based on this information, we can make some educated guesses about the shape of the graphs.
1. Which of the graphs is most likely to represent the graph of daylight for the month after the spring equinox?
The daylight gained after the spring equinox should gradually increase over time at a constant rate of 2 minutes per day. Therefore, the graph that most likely represents the daylight for the month after the spring equinox is a straight line with a positive slope.
Out of the given graphs, Graph A is most likely to represent the daylight for the month after the spring equinox because it shows a straight line with a positive slope.
2. Which of the graphs is most likely to represent the graph of daylight for the month after the autumnal equinox?
The daylight lost after the autumnal equinox should gradually increase over time at a constant rate of 2 minutes per day. Therefore, the graph that most likely represents the daylight for the month after the autumnal equinox is a straight line with a negative slope.
Out of the given graphs, Graph D is most likely to represent the daylight for the month after the autumnal equinox because it shows a straight line with a negative slope.
3. Why are the other graphs not likely to represent either month?
Graphs B and C both show irregular patterns that do not follow a consistent rate of change over time, which is not consistent with the information provided about daylight changing at a constant rate of 2 minutes per day. Therefore, they are not likely to represent either month.
Graph E shows a gradual increase in daylight, but it is not a straight line, which suggests that the rate of change is not constant over time.
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Which fraction is equivalent ?
Answer:
Option A
Step-by-step explanation:
→ Simplify all the options
a. 5/6 and b is 2/3
Select all of the expressions that are less than 10 2 3 . A. 10 2 3 × 9 10 B. 1 × 10 2 3 C. 10 2 3 × 2 1 3 D. 1 8 × 10 2 3 E. 10 2 3 × 3 5
Answer:
E. 10 2 3 × 3 5
D. 1 8 × 10 2 3
A. 10 2 3 × 9 10
Step-by-step explanation:
10 2/3
A. 10 2 3 × 9 10
Answer = 9 3/5
B. 1 × 10 2 3
Answer = 10 2/3
C. 10 2 3 × 2 1 3
Answer = 24 8/9
D. 1 8 × 10 2 3
Answer = 1 1/3
E. 10 2 3 × 3 5
Answer = 6 2/5
The options with expressions lesser than 10 2/3 are;
E. 10 2 3 × 3 5
D. 1 8 × 10 2 3
A. 10 2 3 × 9 10
Find the answer please
Answer:
7 + 8 + 6 = 21
44 + 28 + 8 = 80
60 min. = 1 hour
80 - 60 = 20
22 hours 20 minutes
maggie green just borrowed $5,000. she is planning to pay it back in 5 equal installments of $1,200. what is the irr?
As per the borrowed amount, the value of IRR is 6.40%
The term IRR is the internal rate of return is a metric used in financial analysis to estimate the profitability of potential investments.
Here we have know that Maggie green just borrowed $5,000. she is planning to pay it back in 5 equal installments of $1,200.
Now, we have to calculate the value of IRR,
The general form of the IRR formula is written as,
=> NPV = \(\sum\limits^T_{t=1} {\frac{C_t}{(1+r)^t} }\ -C_0\)
where r is the discount rate / interest rate and T is the number of cash flow periods with t denoting a specific period, C0 is the initial investment while Ct is the return during period t.
Here we apply the values on it, then we get,
=> \(NPV = \sum\limits^5_{t=1} {\frac{1200_t}{(1+r)^t} }\ -5000\)
When we simplify this one then we get,
=> Internal Rate of Return = 6.402%
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How many solutions does 15x+12y=18 have
Answer: 2 or more.
X and Y could be anything, so there are at least two answers
Jim is buying some clothes at Kohls. He buys a jacket that costs $75 and 5 pairs of shorts that each cost the same amount. He spends a total of $175 on the shorts and jacket. Write and solve an equation to find the cost of each pair of shorts.
The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20
How to write and solve an equation?Cost of jackets= $75
Number of shorts= 5
Cost of each short = x
Total amount Jim spent= $175
Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)
175 = 75 + 5x
subtract 75 from both sides
175 - 75 = 5x
100 = 5x
divide both sides by 5
x = 100/5
x = $20
Ultimately, each pair of shorts cost $20
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