how to find the asymtope of a function
The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yesterday, they covered the first 45 seconds of the song at practice. They learn an average of 22 seconds of the dance in an hour. Let h represent the time, in hours, it will take the team to learn the entire dance. Which equation represents this situation, and how long will it take?
Four more than the product of one and a number x
how do you solve 1/3(2x-4)+5=-2/3(x+1)
Final answer:
Solving the equation 1/3(2x-4)+5=-2/3(x+1) involves distributing the fractions, combining like terms, and then multiplying by the reciprocal to isolate x, which results in a solution of x = -4.
Explanation:
To solve the linear equation 1/3(2x-4)+5=-2/3(x+1), you start by distributing the fractions across the parentheses and then combine them like terms. First, multiply 1/3 by each term inside the parentheses (2x-4) and -2/3 by each term inside (x+1), which gives:
2/3x - 4/3 + 5 = -2/3x - 2/3
Next, combine like terms and add 2/3x to both sides:
2/3x + 2/3x = -2/3 - 5 + 4/3
This simplifies to:
4/3x = -16/3
To isolate x, multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:
x = (3/4) x (-16/3) = -4
The solution for x in the given equation is -4.
Final answer:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. The solution to the equation is x = -7/12.
Explanation:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. Let's start by distributing and solving the equation:
1/3(2x-4)+5=-2/3(x+1)
(2/3)x - 4/3 + 5 = (-2/3)x - 2/3
Combining like terms:
(2/3)x + 5/3 = (-2/3)x - 2/3
Add (2/3)x to both sides:
(2/3)x + (2/3)x + 5/3 = (-2/3)x + (2/3)x - 2/3
Simplify:
(4/3)x + 5/3 = -2/3
Subtract 5/3 from both sides:
(4/3)x + 5/3 - 5/3 = -2/3 - 5/3
Simplify:
(4/3)x = -7/3
Finally, divide both sides by 4/3 to solve for x:
(4/3)x / (4/3) = -7/3 / (4/3)
Simplify:
x = -7/12
Therefore, x = -7/12 is the solution to the equation.
Please help me thank yu
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Answer:
D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Step-by-step explanation
Multiply the width by the length 38x112= 4,256
He has 4,400 tiles and only needs 4,256
4,400- 4,256= 144 left over tiles
Which answers are examples of inductive reasoning?
Select each correct answer.
The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine.
Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Answer: Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Step-by-step explanation:
Inductive reasoning is a logical reason in which multiple premises which are believed to be true or found true most of the time, are combined to form a particular conclusion.
Therefore, the second and the fourth are the examples of inductive reasoning.
Answer:
Just took it for you future peoples!
Step-by-step explanation:
Use the multiplication table. Describe a pattern you see in rows 3 and 6
The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.
How to understand the multiplication tableIn a multiplication table, each row represents the product of a particular number (the row number) with the numbers in each column. If we consider rows 3 and 6, they represent the products of 3 and 6 with the numbers in each column.
The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row. This pattern holds true because each element in row 6 is twice the corresponding element in row 3.
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I NEED HELP ASAP
Jamie's bedroom is 11.652 feet long.
Round this to the nearest foot.
What did the magician do when he lost his temper?
Answer:
hmmmmm
Step-by-step explanation:
k what did he do?
Hillary jogged a total distance of 7 and 1 over 3 miles during the months of October and November. If Hillary only jogged 1 over 6 mile every day, which expression shows the number of days in which she went jogging?
Answer:
7 and 1 over 3 multiplied by 1 over 6
Step-by-step explanation:
Is 4/5 equivalent to 5/6?
kaleb was playing a video game it took him eight lives to beat the first world it took eight times as many to beat the second world how many lives did he use on the second world
The amount of money that is left in a medical savings account is expressed by the equation y=-24x+379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
The number of weeks required to have $67 left in the account is 13 weeks
Given the Parameters :
Linear equation : y = - 24x + 379y = amount left in account x = Number of weeksTo obtain the number of weeks to have $67 left in the account, we substitute y = 67 into the equation and solve for x :
y = - 24x + 379
67 = - 24x + 379
Collect like terms
24x = 379 - 67
24x = 312
x = 312 / 24
x = 13
Therefore, the Number of weeks required is 13 weeks
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How do I answer this...don't make sense.
About how many more hours Avery spend sleeping than doing the activities in the "other" category? Justify your anwser.
Please I need to finish this before tommorow. Here is the graph and this is 7th grade math
Answer:
So, she spends 3 hours more sleeping than doing the activities.
Step-by-step explanation:
Consider the provided information.
According to the graph, Avery spends 33% of time in sleeping and 19% of time in doing "other" activities.
There are 24 h in a day.
According to Sleep category: 33% of 24 is:
33 % of 24=0.33×24=7.92 h ≈8 hours
We are rounding to 8 hr because the solution should be in hours as per the question requirement.
Other category: 19% of 24 is:
19 % of 24=0.19×24=4.56 h ≈5 hours
The difference of time is:
8h-5h=3h
So, she spends 3 hours more sleeping than doing the activities.
Stacy and Neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint? Enter your answer in the box.
we know that
Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint
so
by proportion
Find how many square feet can they paint with [tex]3[/tex] gallons of paint
[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]
therefore
the answer is
[tex]1,050\ ft^{2}[/tex]
The square feet that can be painted with 3 gallons of paint is 1050 square feet.
The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.
Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]
280 x [tex]\frac{5}{4}[/tex] = 280 feet
The second step is to determine the square feet can be painted with 3 gallons of paint.
280 feet x 3 = 1050 square feet.
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3 2/5 miles in 7/8 hour. What is his average speed in miles per hour?
Show why this statement is true: the square root of four times nine equals the square root of four times the square root of nine
A bakery uses 3 cups of flour to makeveach loaf of bread. There are 3 loaves of bread on a tray. There are 6 trays on a cart how many cups of flour are used to make a full cart of bread show your work
The bakery uses 54 cups of flour to make a full cart of bread.
Given that, a bakery uses 3 cups of flour to make each loaf of bread. There are 3 loaves of bread on a tray.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now,
6 trays x 3 loaves per tray= 18 loaves
18 loaves x 3 cups of flour each= 54 cups of flour
Therefore, the bakery uses 54 cups of flour to make a full cart of bread.
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john has to pay $7.00 admission for the skating rink and $1.50 per hour to rent roller blades. how many hours can he skate for $19?
19/1.50=12.7
12.7-7=5.7
Therefore, he can go ice skating for 5 hours, unless you can do half hours. If you can also pay for half hours, then he can skate for 5 and a half hours.
if m<DCF =90 what is m<DCE
The measure of angle DCE is 90 degrees.
Explanation:To find m <DCE, we need to use the fact that the angles in a triangle add up to 180 degrees.
Since m <DCF is 90 degrees, this means that DCF is a right angle. Therefore, the sum of m <DCF and m <DCE must be 180 degrees.
So, m <DCE = 180 - 90 = 90 degrees.
Joanna ran a mile in physical education class. After resting for one hour her heart rate was 60 beats per minute. If her heart rate decreased by2/5, what was her heart rate immediately after she ran the mile?
There are 15 people in a room. Each person ate 2/3 of a pizza. There was no more pizza remaining. How many pizzas were in the room?
PLZ HELP ASAP!!!!!!!,
Boris is playing on the mall escalators. One escalator goes up, one goes down, and one is out of service; otherwise, they're all identical. The up and down escalators go at the same speed. You can assume that Boris always runs at the same speed.
Boris can run up the up escalator in 6 seconds. He can run up the down escalator in 30 seconds. How long does it take him to run up the out-of-service escalator? Explain your answer
Answer:10 sec
Step-by-step explanation:
Given
Boris can run up the escalator in 6 sec
Also he can run up the down escalator in 30 sec
i.e. He travel same distance either ways
Let the distance be x and v be the speed of boris and [tex]v_0[/tex] be the speed of escalator.
[tex]x=6\times \left ( v+v_0\right )[/tex]----1
[tex]x=30\times\left ( v-v_0\right )[/tex]----2
Equating 1 and 2
[tex]5\left ( v-v_0\right )=v+v_0[/tex]
[tex]5v-5v_0=v+v_0[/tex]
[tex]v_0=\frac{2}{3}v[/tex]
substituting in 1
[tex]x=6\times \left ( v+v\frac{2}{3}\right )[/tex]
[tex]x=6\times v\frac{5}{3}=10v[/tex]
Thus form above equation we can say that it requires 10 sec for Boris to climb up in out of service escalator.
Pablo prepares to lift a barbell. During which stage of the lift does Pablo do work on the barbell?
Answer:
when he lifts the barbell from the floor to his chest
Step-by-step explanation:
Shoe sales very soon company were $25.9 billion. See other expected to increase by about 20% in the next year. Find the projected amount of shoe sales next year.
Factor 42x+28y using the GCF.
what is 0.4 as a simplified fraction
Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
Write 15 cubed in exponential notation expanded form and standard form