the cost C (in dollars) of making n watches is represented by C=15n+85. how many watches are made when the cost is $385
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Related Questions
Open the file to answer the question
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2) 11 radical 2 by 7
3) -300
4) 27 radical 5
5) -4 radical 7
6) -8 radical 7
7) 7 radical 6
8) 72 radical 3
PLEASE HELP, URGENT, POINTS GIVEN
A sheet of paper contains a list of 5 double-digit prime numbers.
Their mean is 31, while their median and mode is 29.
The largest number is 41.
Show how you can discover the 5 prime numbers written on the sheet.
Answers
Answer:
19, 29, 29, 37, 41
Step-by-step explanation:
1. What we know: x y 29 z 41
(x+y+29+z+41)/5 =31
x y and z each >9 and prime
Possibile numbers: 11, 13, 17, 19, 23, 29, 31, 37, 41
2. (x+y+29+z+41)/5 =31
x+y+29+z+41 = (31×5)
x+y+z = (31×5) -29 -41
x+y+z = 85
z>=29
x<=29
y<=29
x and y can be 11, 13, 17, 19, 23, 29
z could be 29, 31, 37, 41
At least one if them must equal 29 because it's the mode.
So two of them must equal 56
11+29=40 so both numbers cannot be less than or equal to 40
This means y is 29 because x + z has to equal 56 and that wouldn't be possible if x equals 29.
Now we know x+z=56
Possible numbers: 19+37
I found these by doing 56- each possible number for x and seeing if that equaled a possible number for z. For example 56-11=45 but z cannot be 45 therefore x cannot be 11 and so on.
Then you just plug in the numbers!
19, 29, 29, 37, 41
This was so much fun to solve! I hope this is helpful, let me know if you have any questions! You got this :)
A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.use a piecewise function to represent the taxi fare in terms of distance d in meter?
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The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×[tex]\frac{d-500}{300}[/tex] + 40 .
According to the question,
For first 500 meters cost is 40.00 and For each additional 300 meters cost is 3.50 .
Let, the total distance of taxi ride = d meters
Now, representing the equation of taxi fare in terms of distance when distance is less than 500
taxi fare = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
∴ f(d) = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
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Which driver's race times were the most variable if Driver A has a mean of 4.01 seconds and a standard deviation of 0.05 seconds and Driver B has a mean of 3.96 seconds and a standard deviation of 0.12 seconds and Driver C has a mean of 3.99 seconds and a standard deviation of 0.19 seconds?
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The driver B has the fastest typical race time.
It is required to find which driver's race times were the most variable.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.
Also from the standard deviation given 3.96 seconds for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.
Therefore, the driver B has the fastest typical race time.
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use the diagram to find bc. (help please!!)
Answers
Answer:6
Step-by-step explanation:
The length of ac is 20 and the length of ab is 14 so all you have to do is 20-14=6
A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?
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The equation which models the position of the train along the track can be given as |x − 100| = 25.
One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.
The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.
The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.
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Diego worked the SAME number of hours for FIVE days at his job at the cheese factory plus an extra 7 hours on Saturday. He worked a total 52-hours last week.
Using H as a variable for the number of hours he worked each normal day, model (create an equation) for Diego’s work week.
How many hours did he work each day for his normal work week?
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The total hours worked on each day of his normal work week is 7.5 hours.
How many hours did Diego work on each normal day ?The total hours worked is a function of the total hours worked during the week and the hours worked on Saturday.
The equation that represents the total hours that Diego worked is:
Total hours = total hours worked during the five days + hours worked on Saturday
52 = (5 X H) + 7 + H
52 = 5H + 7 + H
In order to determine the value of H, take the following steps:
Combine similar terms together: 52 - 7 = 5H + H
Add similar terms together: 45 = 6h
Divide both sides of the equation by 6 : H = 45 /6
H = 7.5 hours
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Monica has a goal to complete a triathlon. The race consists of a 2.4-mile swim, a 112-mile bike ride, and a 26.2-mile run. In training, Monica can swim at an average pace of 1.8mph. She rides her bike at an average of 19.2mph and runs at 4.8mph. Estimate how long it will take her to complete the triathlon.
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Taking into account the definition of speed, Monica will complete the triathlon in 12.62 hours.
Definition of speedSpeed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
speed= distance traveled÷ time
Time to complete the triathlonIn this case, you know
Swim:speed= 1.8 mphdistance traveled= 2.4 milesRide a bikespeed= 19.2 mphdistance traveled= 112 milesRun:speed= 4.8 mphdistance traveled= 26.2 milesReplacing these values in the speed definition:
Swim: 1.8 mph= 2.4 miles÷ time to swimRide a bike: 19.2 mph= 112 miles÷ time to ride a bikeRun: 4.8 mph= 26.2 miles÷ time to runSolving:
Swim: 1.8 mph×time to swim= 2.4 miles
time to swim= 2.4 miles÷ 1.8 mph
time to swim= 1.33 h
Ride a bike: 19.2 mph× time to ride a bike = 112 miles
time to ride a bike= 112 miles÷ 19.2 mph
time to ride a bike=5.83 h
Run: 4.8 mph× time to run= 26.2 miles
time tu run= 26.2 miles÷ 4.8 mph
time to run= 5.46 h
The time to complete the triathlon is the sum of each of the stages:
Total time= time to swim + time to ride a bike + time to run
Total time= 1.33 h + 5.83 h + 5.46 h
Total time= 12.62 h
In summary, Monica will complete the triathlon in 12.62 hours.
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Satisfactory internal control ______ the probability of errors or frauds in the accounts.
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Satisfactory internal control reduces the probability of errors or frauds in the accounts.
What functions may a strong internal control system perform?
To ensure that goals and objectives are met, effective internal controls are necessary. For management choices, they offer trustworthy financial reports. To reduce the possibility of public scandals, they make sure that applicable laws and regulations are followed.Why are internal controls necessary?
Internal controls are primarily used to protect organizations and advance their goals. Internal controls serve to reduce risks, safeguard assets, maintain record accuracy, enhance operational effectiveness, and promote conformity to laws, rules, and regulations.Learn more about system of internal controls
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what is the unit rate for 1/4 kilometer in 1/3 hours
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Answer: 0.75km
Step-by-step explanation:
Which best describes the triangle?
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Arrange the students in order from shortest to tallest. kim 56.03 alexa 56.3 roy 56.14 tom 57.1
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Arrangement of students from shortest to tallest is
Kim 56.03 < Roy 56.14 < Alexa 56.3 < Tom 57.1.
As given in the question,
Number of students = 4
Height of the students
Kim = 56.03 units
Alexa = 56.3 units
Roy = 56.14 units
Tom = 57.1 units
Arrange the students from shortest to tallest
56.03 < 56.14 < 56.3 < 57.1
Kim < Roy < Alexa < Tom
Therefore, arrangement of students from shortest to tallest is
Kim 56.03 < Roy 56.14 < Alexa 56.3 < Tom 57.1.
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Verify the identity.
secx-secxsin^2x= cos x
Answers
The identity is verified, yes. secx-secxsin^2x=cos x
What is an identity?
An identity in mathematics is an equality connecting two mathematical expressions, A and B, such that both expressions provide the same result for any value of the variables falling within a given range of validity.
An identity is an equation that, regardless of the values used, is always true. 2 x + 3 x = 5 x is an identity because, according to the preceding equation, 2 x + 3 x will always equal 1 regardless of the value;
According to given information;
secx = 1/cosx
cos²x+sin²x= 1
**sin²x = 1-cos²x
by (*) :
secx - secx sin²x=(1/cosx) -(1/cosx) sin²x
= (1/cosx) (1- sin²x)....factory :(1/cosx)
by(**)
sec x-sec x sin²x = (1/cos x)cos²x
sec x-sec x sin²x = cos x
( simplify by : cos x)
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What is the solution to this equation?
5x+15+ 2x = 24 + 4x
O A. x = 13
OB. x = 3
O C. x=39/11
O D. x =9/11
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Answer:
X=3
Step-by-step explanation:
Remember to get all your variables on one side by doing the "Reverse function" etc...
Once youve got your variables on one side (and only 1 is remaining) you should get rid of whats BESIDE the variable by dividing it by *whatever it is thats beside the variable!* AND REMEMBER TO DO THIS ON BOTH SIDES OF THE EQUATION SO THAT THEYRE EQUAL!!
a²-7a²b² + b² factor
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What is a first step to solve the equation 0.3n - 15 = 0.2n - 5?
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Answer:
100
Step-by-step explanation:
0.3n - 15 = 0.2n - 5
0.3n - 0.2n = - 5 + 15
0.1n = 10
10/0.1 = n
n = 100
write 26/50 as a decimal fraction
Answers
Answer:
13/25
Step-by-step explanation:
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1. 60 high school seniors taking AP classes (advanced classes for college credit) were polled (asked a question) to see if they were taking European History or US History. A total Of 29 students said they were taking AP European History and a total of 50 students sald they were taking AP US History. How many students take both AP European History and AP US History? (Hint: Draw a venn diagram.)
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The number of students take both AP European History and AP US History is 19 students
Venn Diagram
A Venn diagram is an illustration of the relationships between and among sets, groups of objects that share something in common.
Let the students take both AP European History and AP US History be x such that;
n(U) = 29 - x + 50 - x
If 60 high school seniors taking AP classes, then n(U) = 60. Substitute to have:
60 = 29 - x + x + 50 - x
60 = 79 - x
-x = 60 - 79
-x =-19
x = 19
Therefore the number of students take both AP European History and AP US History is 19 students
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Without multiplying, tell whether the value of the expression is positive or negative.
4/7 • (-3 1/2)
Explain your reasoning.
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Answer:
Negative
Step-by-step explanation:
Because knowing that a positive number times a negative number equals negative.
simplify: 12.9 - 2.8 - 7.2 + 9.1
A. 17.6
B. -6.2
C. 26.4
D. 12
Step by step answer pls
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Then, get 10.1 and subtract it by 7.2, which gives you 2.9
Lastly, get 2.9 and add it to 9.1, which will give you your final answer 12
Answer:
D
Step-by-step explanation:
the simplification of 12.9 - 2.8 - 7.2 + 9.1 is 12
How many gallons are in a 2 liter bottle of soda?
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Answer:
1/2 gallon.
Step-by-step explanation:
1 liter = 1/4 gallon
Basing the measurement off of this info, we can determine that 2 liters is equal to a half-gallon because it is 2 quarters, which simplifies to one-half.
Which of the following numbers can be expressed as decimals that terminate? (1 point) 5 over 2 , 4 over 5 , 2 over 7 , 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3
Answers
Answer:
all of them are terminating decimals
Step-by-step explanation:
5/2=2.5
4/5=1.25
2/7=3.5
4/5=1.25
4/3=0.75
5/2=2.5
4/5=1.25
2/7=3.5
4/3=0.75
they are terminating decimals because they have a finite end
Eric rented a truck for one day. There was a base fee of 19.95 and there was an additional charge of 97 cents for each mile driven. Eric had to pay 190.67 when he returned to the truck. For how many miles did he drive the truck?
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Answer: 176 miles
Step-by-step explanation:
m=mile.
97 cents=
97/100 dollars=$0.97
190.67=19.95+0.97m
170.72=0.97m
m=176 miles
A car and an emergency are heading toward each other. The car is traveling at a speed of 30
mph or 44 feet per second. The emergency vehicle is traveling at a speed of 50 mph or about
74 feet per second. If the vehicles are 1000 feet apart and the conditions are ideal, in how
many seconds will the drive of the car first hear the siren?
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If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.
Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.
We are required to find the seconds after which the driver of the car first hear the siren.
Speed is basically the distance that a vehicle covers in a particular period of time.
Speed=Distance/Time
Time=Distance/Speed
Total speed in feet per second=44+74=118 feet per second
Time=1000/118
=8.48 seconds
Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.
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Help!!!
6 divided by 2(1+2)
Answers
Answer:
9
Step-by-step explanation:
6 / 2(1+2)
6 / 2 (3)
6 / 2 * 3
3 * 3
9
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Apply the rule for negative exponents to select the equivalent expression. 8-1 08 8X -8
Answers
The equivalent expression of 8^-1 is 1/8
How to apply the rule for negative exponents?The expression is given as
8^-1
The above represents 8 exponent -1
The rule for negative exponents states that
a^-1 = 1/a
This means that
8^-1 = 1/8
Hence, the equivalent expression of 8^-1 is 1/8
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Jolene works at Food Lion and she makes $13.25. She works 4 hours a day Monday through Friday and 8 hours a day on the weekend. How much would she make during a 7-day week?
Answers
She would make $477 during a 7-day week
How much would she make during a 7-day week?The given parameters are
Hourly rate = $13.25Weekdays = 4 hours dailyWeekends = 8 hours dailyThere are 5 days in a weekday and 2 in a weekend
So, the total earning is
Total = Rate * [Weekday hours * 5 + Weekend hours * 2]
This gives
Total = $13.25 * [4 * 5 + 8 * 2]
Evaluate
Total = $477
Hence, she would make $477 during a 7-day week
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About 70% of people are right-handed. Of 352students in a school. Which is a reasonable number of right-handed students ?
Answers
Answer: 246 right-handed students
Step-by-step explanation:
70%=
70/100=0.7
352*0.7=246.4
246.4=246 right-handed students ==> I rounded the answer since you can have 246 students and an additional 0.4 students. You can't have part of a student.
How many significant digits are in the number 1.00460? select one: a. 6 b. 3 c. 5 d. 4
Answers
There are 6 significant digits in the number 1.00460.
What are digits?In mathematics, digits are the single symbols used to represent numbers. For example, in the number 89, the digits 8 and 9 are both two digits. As a result, numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 are forms of digits that are used to represent a combination of numbers and perform arithmetic operations in our daily lives.We use ten digits to create all numerals. A numeral is a written number. These are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.Therefore, there are 6 significant digits in the number 1.00460.
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To find a baseball pitcher's earned run average (era), you can use the formula ei = 9r, in which e represents era, i represents the number of innings pitched, and r represents the number of earned runs allowed. solve the equation for e. what is a pitcher's era if he allows 33 earned runs in 45 innings pitched? if necessary, round your answer to the nearest hundredth.
Answers
The value of e is 33/5 or 6.6 era.
It is given in the question that:-
e*i = 9r
Where,
e represents era
i represents the number of innings pitched, and
r represents the number of earned runs allowed
Also, we are given that:-
i = 45 innings, and
r = 33 earned runs allowed
We have to find the value of e for the given data.
Hence, applying the formula given in the question, we get
e*45 = 9*33
Now, as only one variable is left in the equation, it has become a linear equation in one variable.
Hence, solving the linear equation, we get
e = (9*33)/45
e = 33/5
e = 6.6 era
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