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Four more than the product of one and a number x
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A ball is rolling at 4.80m/s over level ground when it encounters a ramp, which gives it an acceleration of -0.875m/s^2. If the ramp is 0.750m long, what is the final velocity of the ball when it reaches the top of the ramp?
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Given that the accerelation with which it rolled over the ramp was [tex]-0.875 m/s^2[/tex] and that the ranp is 0.750 m long.
The final velocity of an object with an initial velocity, u, with an accerelation, a, moving through a distance, s is given by
[tex]v^2=u^2+2as[/tex]
Thus, the final velocity of the ball when it reaches the top of the ramp is given by
[tex]v^2=(4.80)^2+2(-0.875)(0.750) \\ \\ =23.04-1.3125=21.7275 \\ \\ \Rightarrow v=\sqrt{21.7275}=\bold{4.66 \ m/s}[/tex]
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.
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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
Is 4/5 equivalent to 5/6?
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24 / 30 and 25 / 30.
4 / 5 and 5 / 6 are not equivalent.
Hope this helps!
Hope this helps!!
clayton climbed down 50 meters. He climbed down in 10 meter intervals.In how many intervals did clayton make his climb?
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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?
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7 1/3=1/6x or
22/3=1/6x if we were to solve,
x would equal 44 days.
Answer:
7 and 1 over 3 multiplied by 1 over 6
Step-by-step explanation:
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?
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The number of hours it will take is :
22h = 221-45
22h = 176
h = 176/22
h=8
so it takes them 8 more hours to finish learning the song.
Hope this helps!
and May the Force Be With You
-Jabba
if m<DCF =90 what is m<DCE
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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.
how to find the asymtope of a function
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I NEED HELP ASAP
Jamie's bedroom is 11.652 feet long.
Round this to the nearest foot.
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Jamie's bedroom will be 12 feet long
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
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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?
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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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Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?
(–∞, 1.5)
(–∞, 10.25)
(1.5, ∞)
(10.25, ∞) pls help
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Answer A: (-infini,3/2)
Vertex is (3/2,41/4) and the curve is turning its concavity down.
f'(x)=-2x+3=0==>x=3/2
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?
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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.
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.
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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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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.
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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
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now the √4 = 2
and √9 = 3
so 2×3= 6
therefore √(4×9) = √4 × √9
that's a law of surd
generally √ab = √a ×√b
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
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6 trays x 3 loaves per tray= 18 loaves
18 loaves x 3 cups of flour each= 54 cups of flour
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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Use the multiplication table. Describe a pattern you see in rows 3 and 6
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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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2) ½ b – 39 = 101 please show your work
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+39 +39
1/2 b= 140
2(1/2) b= 140(2)
b=280
Answer:
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Step-by-step explanation:
Please help me thank yu
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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?
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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
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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.
3 2/5 miles in 7/8 hour. What is his average speed in miles per hour?
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{-2x-3y=-18 and x-6y=-6
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What is 11/12 + (-7/12) in simplest form?
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11/12 - 7/12 =
4/12
or
1/3.
The simplest form of adding the given fractions is [tex]\frac{1}{3}[/tex]
Given :
[tex]\frac{11}{12} +\frac{-7}{12}[/tex]
We need to add the fractions and write it in simplest form
To add any two fractions the denominators should be same
Here the denominators are same
so we combine the numerators
[tex]\frac{11}{12}+\frac{-7}{12}\\\frac{11-7}{12}\\\frac{4}{12}[/tex]
divide both sides by 4
so simplest for is [tex]\frac{1}{3}[/tex]
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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?
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How do I answer this...don't make sense.
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__________________________________________
Given: (- 6/5) k = 12 ; Solve for: "k" ;
__________________________________________
Multiply each side of the equation by "5" ; to get rid of the "fraction":
5* (-6/5) k = 12 * 5 ;
to get:
- 6 k = 60 ;
Divide each side of the equation by "-6" ;
________________________________________
- 6 k / 6 = 60 / 6 ;
to get:
-1 k = 10 ;
_______________________
Divide each side of the equation by "-1" ;
to isolate "k" on one side of the equation ; and to solve for "k" ;
________________________
- 1 k / -1 = 10 / -1 ;
________________________
to get: k = -10 .
__________________________
Ted picks 6 flowers with 4 petals on each flower. Bill picks 3 flowers with 8 petals on each flower. Jon picks 2 flowers with 12 petals on each flower. Ted says they all have the same amount of petals. Is Ted correct?
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6 * 4 = 24
8 * 3 = 24
2 * 12 = 24
Ted is correct! :)
what is 0.4 as a simplified fraction
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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.