Answer:
4 hours = 14400 seconds.
Step-by-step explanation:
i) In 1 hour there are 60 minutes
ii) in 1 minute there are 60 seconds
iii) therefore 1 hour = 60 minutes
= 60 [tex]\times[/tex] 60 seconds
= 3600 seconds
iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds
therefore 4 hours = 4 [tex]\times[/tex] 3600 seconds = 14400 seconds.
Divide. Express your answer in simplest form.
2 1/2divide2 1/6
Answer:
Step-by-step explanation:
form.
2 1/2divide2 1/6
= 5/2 ÷ 13/6
= 5/2 × 6/13
= (5×3)/13
= 15/13
= 1 2/13
Answer:
1 2/13.
Step-by-step explanation:
2 1/2 / 2 1/6
= 5/2 / 13/6
= 5/2 * 6/13
= 30/26
= 15/13
= 1 2/13
=
How to graph Y greater than or equal to 2
Answer:
Check the image as well as the explanation.Step-by-step explanation:
In order to graph [tex]y\geq 2[/tex], we first need to graph y = 2.
y = 2 is a straight line which will be parallel to the x-axis.
We need to graph [tex]y \geq 2[/tex].
3, 4, 5......> 2. That is, all these values satisfies [tex]y \geq 2[/tex].
Hence, the will be the area towards the points y = 3 / 4 / 5 / ......
What value of x makes f(x) = -2 if f(x) = 3.4x - 7.1
A. -13.9 B. -1.5
C. 1.5 D. 2.8
Option C
For x = 1.5 we get f(x) = -2
Solution:
Given function is:
[tex]f(x) = 3.4x - 7.1[/tex]
We have to find the value of "x" so that f(x) = -2
Substitute f(x) = -2 in given function
[tex]-2 = 3.4x - 7.1[/tex]
Solve for "x" by moving the constants to one side and variables to other side
[tex]3.4x = -2 + 7.1\\\\3.4x = 5.1\\\\ \text{Divide both the sides of equation by 3.4 }\\\\x = \frac{5.1}{3.4}\\\\x = 1.5[/tex]
For x = 1.5 we get f(x) = -2
We can verify by substituting x = 1.5 in given function
[tex]f(1.5) = 3.4(1.5) - 7.1\\\\f(1.5) =5.1-7.1\\\\f(1.5) = -2[/tex]
Thus for x = 1.5 we get f(x) = -2
Your local Pizza restaurant offers free delivery with an expected 15% tip for the delivery person. Your pizza will cost 15.95 + 7% sales tax. What is your total cost?
The total cost which includes tip, food cost without tax and sales tax for the considered situation is 19.63 bucks approximately.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we're specified that:
Pizza cost = 15.95 +7% of tax on 15.95 bucks
Tip = 15% of pizza cost
Total cost = Pizza cost + tip
7% of 15.95 is: [tex]\dfrac{15.95}{100} \times 7 = 1.1165[/tex] bucks
Thus, pizza cost = The (15.95 + 1.1165) = 17.0665
Tip price = 15% of 17.0665 = [tex]\dfrac{17.0665}{100} \times 15 \approx 2.56[/tex] bucks.
Thus, total cost ≈ 17.0665 + 2.56 ≈ 19.63 bucks
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Daniel Capo
Solve System of Equations from Context
Jan 21,7:26:04 PM
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and
each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number
of rides she went on is 3 more than the number of games she played. Determine the
number of games Sydney played and the number of rides Sydney went on.
Sydney played
games and went on
rides rides.
Submit Answer
attempt 1 out of 2
Tyne here to search
Answer:
The number of games Sydney played is 5 and the number of rides she went on is 8.
Step-by-step explanation:
Given:
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played.
Now, to find the number of games Sydney played and the number of rides she went on.
Let the number of games she played be [tex]x.[/tex]
As given, the number of rides she went on is 3 more than the number of games she played.
So, the number of rides be [tex]x+3.[/tex]
Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival.
According to question:
[tex]1.25x+2.25(x+3)=24.25[/tex]
[tex]1.25x+2.25x+6.75=24.25[/tex]
[tex]3.50x+6.75=24.25[/tex]
Subtracting both sides by 6.75 we get:
[tex]3.50x=17.50[/tex]
Dividing both sides by 3.50 we get:
[tex]x=5.[/tex]
Number of games = 5.
So, number of rides:
[tex]x+3\\=5+3\\=8.[/tex]
Therefore, the number of games Sydney played is 5 and the number of rides she went on is 8.
A magazine as states that 4 out of 7 dentists prefer flash toothpaste.If 1400 dentists were surveyed, how many dentists recommended Flash toothpaste
800 dentists recommended Flash toothpaste
Solution:
Given that, magazine as states that 4 out of 7 dentists prefer flash toothpaste
1400 dentists were surveyed
To find: Number of dentists recommended falsh toothpaste
Let "x" be the number of dentists recommended falsh toothpaste
Then, we can say,
4 out of 7 equals x out of 1400
[tex]\rightarrow \frac{4}{7} = x \times 1400\\\\\rightarrow x = \frac{4}{7} \times 1400\\\\\rightarrow x = 800[/tex]
Thus 800 dentists recommended Flash toothpaste
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(-7,-5), B(-7, 6), C(-4,6), and D(-4,-5).
Given these coordinates, what is the length of side CD of this rectangle?
The length of side CD is 11.
To find the length of side CD, we can use the distance formula, which is as follows:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (-4, -5) and (-4, 6). Substituting these coordinates into the distance formula, we get:
distance = √(((-4) - (-4))^2 + ((6) - (-5))^2)
distance = √(0^2 + 11^2)
distance = √121
distance = 11
Therefore, the length of side CD is 11.
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[tex]If 180º\ \textless \ a\ \textless \ 270º[/tex] and [tex]cos a= -8/17[/tex] what is sin(−α)?
Enter your answer as a fraction in simplest form, like this: 3/14
Answer:
[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
Look at the photo below for the details.
:)
How many sides does a cube have
a cube has 6 sides reeeeeeeeeeeeeeeeee
a cube has 6 sides
1 in the front
1 in the back
1 on top = 6 sides
1 below
1 to one side
1 to another side
Provide the missing reasons for the proof of part of the triangle midsegment theorem. Given: K is the midpoint of . L is the midpoint of . Prove: Answer: Statement Reason 1. K is the midpoint of . L is the midpoint of . 1. 2. and 2. 3. and 3. 4. and 4. 5. and 5. Substitution Property of Equality 6. 6. Division Property of Equality 7. 7. 8. ∆JMN≅∆JKL 8. 9. 9. 10. 10. 11. 11.
To prove MN = 2KL we can use the Multiplication Property of Equality and SAS Similarity Theorem.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that:
K is the midpoint of MJ.
L is the midpoint of NJ.
It is required to prove: MN = 2KL
From the diagram and table given in the picture:
1. K is MJ's midway. L is where NJ splits in half. ~ Given
2. MK, KJ, and NL, LJ: Midpoint Definition
3. Segment Congruence Postulate: MK=KJ and NL=LJ
4. Segment Addition Postulate: MJ = MK + KJ and NJ = NL + LJ
5. Substitution Property of Equality: MJ = 2KJ, NJ = 2LJ
6. The Division Property of Equality: MJ/KJ = NJ/LJ = 2
7. The Reflexive Property of J
8. The SAS Similarity Theorem, JMN, and JKL
9. Corresponding parts of identical triangles have a proportional relationship (MN/KL = MJ/KJ).
10. Substitution: MN/KL = 2
11. The Multiplication Property of Equality: MN = 2KL
Thus, to prove MN = 2KL we can use the Multiplication Property of Equality and SAS Similarity Theorem.
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A person with a monthly income of $1850 pays $550 a month rent. What percent of the salary is spent on rent?
Answer:
33%
Step-by-step explanation:
hope this helps :)
Answer:
it is 33% thank you
Step-by-step explanation:
hope this helps ,':) XD
A nutrition label states the item contains 16% of the daily recommended carbohydrates. Rewrite this percent as a fraction in the simplest form.
Answer: 4/25
Step-by-step explanation:
16% = 16/100 both can be divided by 4 so 16/4= 4, and 100/4=25. So 16%=4/25
Answer:
4 / 25
Step-by-step explanation:
The question is simplying request you simplify 16/100 to it's lowest form.
From the question,
The Carbohydrates recommended contents = 16/100
To Simplify this to the lowest form, we die de through by 4.
= (16/4) / (100/4)
= 4 / 25
Miguel drove 737 miles in 11 hours.
At the same rate, how long would it take him to drive 469 miles?
Final answer:
To find how long it takes Miguel to drive 469 miles at the same rate he drove 737 miles, simply divide the distance by his speed. In this case, it would take him 7 hours.
Explanation:
To find the time it would take Miguel to drive 469 miles at the same rate:
Calculate Miguel's speed: 737 miles / 11 hours = 67 miles per hour.Divide the distance to be traveled (469 miles) by Miguel's speed: 469 miles / 67 miles per hour = 7 hours.Therefore, it would take Miguel 7 hours to drive 469 miles at the same rate.
At Joe's Print Shop, the amount of time it takes to complete a print job can be represented by t = 45 + 5p where t is
the time, in seconds, and p is the number of pages being printed. At Jerry's Print Shop, the amount of time it takes
to complete a print job can be represented by t = 30 + 6p where t is the time, in seconds, and p is the number of
pages being printed. What is the maximum number of pages for which the amount of time will be shorter to print
at Jerry's Print Shop than at Joe's Print Shop?
A. 11
B. 12
C. 13
D. 14
E. 15
The maximum number of pages for which the time to print at Jerry's Print Shop is less than at Joe's Print Shop is 14.
Explanation:This question deals with comparing two linear equations [tex]t1 = 45 + 5p[/tex] for Joe's Print Shop and t2 = 30 + 6p for Jerry's Print Shop. To determine the maximum number of pages (p) where Jerry's shop is quicker than Joe's, we need to find the value of p where t2 < t1.
Setting the two equations equal to each other, we get:
[tex]45 + 5p = 30 + 6p,[/tex]
Solving this equation, we find that p = 15.
However, p=15 is when the time at both shops is the same. Since we want the number of pages for which Jerry’s is less than Joe's, we should choose the next value lower, which is p=14.
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18 is what percentage of 25
Answer:
Step-by-step explanation:
72%
Answer: 72%
Step by Step Explanation:
1. We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=25
2) x%=18
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 18 is what percent of 25
100%/x%=25/18
(100/x)*x=(25/18)*x - we multiply both sides of the equation by x
100=1.38888888889*x - we divide both sides of the equation by (1.38888888889) to get x
100/1.38888888889=x
72=x
x=72
now we have:
18 is 72% of 25
15. Find m∠DEC (the picture is not drawn to scale).
Answer:
m∠DEC = 123°
Step-by-step explanation:
First we need to solve for x the equation: x = (x - 45) + (x-12)
x = (x - 45) + (x-12) ⇔ x = 2x -57 ⇔ 0 = x - 57 ⇔ x = 57
since m∠DEC = 180 - x then m∠DEC = 180 - 57 = 123
How many times does 7 go into 2,400
Answer:
about 324 times.
Step-by-step explanation:
2400/7
342.857142857
Under a dilation centered at the origin, the point (-4 , 3) has image at (8 , -6) The dilation is _____
Answer:
2
Step-by-step explanation:
see the image for the explanation
Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Analyze the date to determine which train traveled at a faster rate and by what factor? (round to nearest tenth)
Answer:
D.Train A by a factor of 1.1
Step-by-step explanation:
Pam bought several cartons of Giggle Fruit Drinks to sell during the track meet. She paid 50 cents per carton. She sold all but 15 of the cartons for $1 each. At the end of the day, her profit was $22.50. How many cartons of Giggle did she buy?
Good evening
Answer:
75Step-by-step
let c be the total number of cartoons
Cost of purchase = 50c
total sale price = 100(c-15)
profit = total sale price - cost of purchase
= 100(c-15) - 50c = 2250 cents
Then (100c-50c) - 1500 = 2250
then 50c = 3750
Then c = 3750/50 = 75
:)
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
Click the arrows to choose an answer from each menu.
To determine the solution arithmetically, first
Choose...
and then
Choose...
To determine the solution algebraically, set up and solve the equation
Choose...
Each package contained Choose...
pencils.
Answer:
there were 12 pencils in each packet
Answer:
-add 8 and 40
-divide by 4
-not sure
-12
Step-by-step explanation:
What is the range of f(x) = 3/4x -4
{y | y > –4}
{y \ y > 3/4}
{y | y < – 4}
{y | y < 3/4}
Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function : [tex]f(x) = \frac{3}{4x} -4[/tex]
See the attached figure.
The zeros of the denominator at x = 0
The domain is: (-∞,0)∪(0,∞)
The range of the function is the domain of the inverse function of f(x)
y = 3/(4x) - 4
y + 4 = 3/(4x)
4x = 3/(y+4)
[tex]x=\frac{3}{4(y+4)}[/tex]
The zeros of the inverse function:
4(y+4) = 0
y + 4 = 0
y = -4
∴ The range is (-∞,-4)∪(-4,∞)
So, the answer is {y | y > –4} ∪ {y | y < – 4}
=========================================
Note: If the given function is : [tex]f(x) = \frac{3}{4} x-4[/tex]
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
Find two fractions that are not equivalent to 2/4 but that are equivalent to each other
Answer:
1/5 and 2/10
Step-by-step explanation:
What is 4 divided by 230 long division
Answer:
0.0173913043
Step-by-step explanation:
I used a calculator
Find the median for the following set of data: 41, 99, 37, 52, 39, 17, 95 a. 44 c. 53 b. 37 d. 41
Answer:
41 (d)
Step-by-step explanation:
A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes). Write and solve and inequality to find how many hours you can park in the garage if you have $8 in cash
You can park in the garage for 5 hours 30 minutes
Solution:
Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)
Therefore,
Cost for first half an hour = $ 2
Cost for each additional half an hour = $ 1.20
Let "x" be the number of each additional half hour
Therefore, total cost to pay is given as:
Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)
Total cost = 2 + 1.20x
Given you have $ 8 in cash
[tex]8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5[/tex]
Total hours parked = first half an hour + 5
Thus you can park in the garage for 5 hours 30 minutes
Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz’s biking and running speeds.
The speed in running is 10 mph and speed in biking is 16 mph
Solution:
Given that, Cruz is training to compete in a triathlon
He left his house at 6:00 and ran until 7:30
Time taken for running = 1.5 hours
Then he rode his bike until 9:45
7: 30 to 9: 45 is biking time
Time taken for biking = 2.25 hours
He covered a total distance of 51 miles
Total distance = 51 miles
Let "x" be the speed in running
His speed when biking was 1.6 times his speed when running
Speed in biking = 1.6x
Total distance = distance in running + distance in biking
The distance is given by formula:
[tex]distance = speed \times time[/tex]
Therefore,
[tex]Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10[/tex]
Thus speed in running is 10 miles per hour
Speed in biking = 1.6x = 1.6(10) = 16
Thus speed in running is 10 mph and speed in biking is 16 mph
1/3x = 6 what is the letter x
Answer:
18
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
18
Step-by-step explanation:
1/3x=6
x=6/(1/3)
x=(6/1)(3/1)
x=18/1
x=18
27^4–9^5 3^9 is divisible by 25
Answer:
no
Step-by-step explanation:
If you mean
27^4 - 9^5·3^9 = -1161730026
it has no factors of 5, so cannot be divisible by 25.
__
If you mean ...
(27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24
it is not divisible by 25, either.
Answer:
[tex]3^9(25)[/tex]
Step-by-step explanation:
Let's rewrite all values with a base of 3:
[tex]27^4 = (3^3)^4 = 3^{12}\\\\\\9^5 = (3^2)^5 = 3^{10}\\\\\\3^9 = 3^9[/tex]
Now, let's factor the equation: [tex]3^{12} -3^{10} + 3^{9}[/tex]
[tex]\\3^{12} -3^{10} + 3^{9}\\\\= 3^9(3^3 - 3 + 1)\\\\= 3^9(27 - 2)\\\\= 3^9(25)[/tex]
Your answer is [tex]3^9(25)[/tex]
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
(Graph Shoen in picture above)
Data collection is the process of gathering and measuring information on variables of interest. strawberry yoghurt makes up less than 1/3 of their sales
What is data collection?
Data collection is the process of gathering and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.
The data collection component of research is common to all fields of study including physical and social sciences, humanities, business, etc. While methods vary by discipline, the emphasis on ensuring accurate and honest collection remains the same.
In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.
Hence strawberry yoghurt makes up less than 1/3 of their sales
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The question deals with interpreting graphical data from a frozen yogurt store, analyzing statistical data to determine independence of variables, and understanding sales and cost curves in relation to profit in a business case.
Explanation:The student is asking about interpreting graphs related to customer purchase behavior from a frozen yogurt store and analyzing statistical data in various situations. For instance, when analyzing whether the geographic location is independent of favorite ice cream flavors or discussing the relationship between store temperature and energy consumption, understanding and interpreting graphical data is crucial. In terms of sales and costs for a raspberry farm, understanding the graph where the total cost curve intersects the vertical axis indicates fixed costs, and the upward slope shows variable costs in relation to revenue, which identifies profit maximization points. These analyses are part of mathematical statistics, which is used to making informed decisions in a business context.