A truck is carrying 100 pounds of grapes, which are 99% water (and 1% skin, fiber, etc…). When the truck breaks down and the grapes sit in the back of the truck for 4 hours, they become 98% water. At that moment, how many pounds do the grapes weigh?
Answer:
The grapes have a weight of 50 pounds
Step-by-step explanation:
To calculate the weight of the grapes, we proceed as follows;
Let's categorize the skin, fiber as solids
At first, we had 1% solids and 99% water.
This means 99 pounds of water and 1 pound of solid
It must be known that the 1% solid remains the same after drying and what we have lost simply is the water,
This means that 2% of the total weight is now same 1 pound of solid after drying
Mathematically, this means
2/100 * new total weight = 1 pound
New total weight = 1 pound × 100/2 = 50 pounds
A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 1520 mi, in 4 h. Flying against the jet stream, the plane could fly only 1120 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
Answer:rate of the plane in calm air = 380 mph
rate of the wind = 100 mph?
Step-by-step explanation:all you have to do is divide 1520 mi by 4 hrs because distance/time. You will get the speed of the plane in calm air this way. The rate of the wind is most likley wrong though, please correct me.
The plane's speed in calm air is 330 mi/h, and the wind's speed is 50 mi/h. These values were calculated by setting up and solving a pair of linear equations.
Explanation:To solve this problem, we will use the formula for rate, which is distance = rate × time. We can set up two equations to represent the plane's flight with and against the jet stream. When the plane is flying with the jet stream, its speed is increased by the speed of the wind, while when it's flying against it, its speed is reduced by the wind speed.
With the jet stream: 1520 mi = (plane speed + wind speed) × 4 hAgainst the jet stream: 1120 mi = (plane speed - wind speed) × 4 hWe can then divide these equations by 4 to get the rates:
380 mi/h = plane speed + wind speed280 mi/h = plane speed - wind speedBy solving this system of linear equations, we find that the plane's speed in calm air (plane speed) is 330 mi/h and the speed of the jet stream (wind speed) is 50 mi/h.
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Evaluate the expression
Answer:
the correct answer is 4. because the cube root of 64 is 4
Answer:
Step-by-step explanation:
Recall that 4^3 = 64.
Thus, the opposite operation is the cube root of 64: ∛64 = 4
Which of the following illustrates the product rule for logarithmic equations?
log (4x) = log24 = log2x
log2(4x) = log24-log2x
o log2 (4x) = log24-log2x
log2(4x) = log24+log2x
Since the product of 4x is written as the sum log 4 and log x hence the expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations
Product rule of logarithmAccording to the law of logarithm
log (ab) = loga + logb
The product of log becomes sum
From the given log functions,
log2(4x) = log2(4)+log2(x)
Since the product of 4x is written as the sum log 4 and log x hence the expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations
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Krutika, David and Mark share some sweets in the ratio 2:2:1. Krutika gets 20 more sweets than Mark. How many sweets does David get?
Answer:
David gets 20 sweets.
Step-by-step explanation:
If you want the ratio, 2:2:1, Krustika gets 20 more than mark, you will need to have double what mark got.
So, the only number I can think of that is half, but also 20 more than the "1" ratio, is 20; as 20 is half of 40, however, 40 is also 20 more than the "1" ratio.
David gets 40 sweets when the sweets are divided in a 2:2:1 ratio among Krutika, David, and Mark, and where Krutika receives 20 more sweets than Mark.
Explanation:The problem presents a ratio which is the relation between three persons sharing sweets: Krutika, David, and Mark. The ratio is given as 2:2:1 respectively. This means that for every 2 sweets Krutika gets, David gets 2 sweets, and Mark gets 1 sweet.
Krutika gets 20 more sweets than Mark in this arrangement, so we can say that Mark's share (1 part of the ratio) is equivalent to Krutika's share - 20, which is 20 sweets. Therefore, 1 part of the ratio represents 20 sweets.
Since David's share is 2 parts of the ratio, and each part of the ratio is equivalent to 20 sweets, David gets 2 * 20 = 40 sweets.
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Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an
angle of 29º. Howard wants the chairs to be 2.75 meters above the ground in full swing.
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.
meters
------
2.75 m
Answer:
7.12m
Step-by-step explanation:
THIS IS THE CORRECT QUESTION:
Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole be? Round your answer, if necessary, to 2 decimal places.
From the question:
Length of the rope is = 5 m long.
The tilted angle is 29°
The distance from the ground is 2.75 m
To Find the height of the pole,
SEE THE ATTACHMENT BELOW;
What is the solution to the equation 2 x + 4 = 24?
x = 1
x = 3
x = 6
x = 10
Brainliest if answered correctly!
Answer: [tex]x=10[/tex]
Subtract 4 from both sides
[tex]2x+4-4=24-4\\2x=20[/tex]
Divide both sides by 2
[tex]2x/2=20/2[/tex]
[tex]x=10[/tex]
Help me what is this
Answer:
Dog
Step-by-step explanation:
This seems to be a Chihuahua breed of a dog
Answer:
doggo
Step-by-step explanation:
Last Tuesday regal cinemas sold a total of 8500 movie tickets. Proceeds totaled $64605. Tickets can be bought in 3ways :matinee cost 5$, students cost 6$ all day and regular cost 8$. How many of each type of tickets was sold if twice as many students tickets were sold as matinee tickets ?
Answer: 485 matinee tickets, 7045 regular tickets and 970 student tickets were sold.
Step-by-step explanation:
Let x represent the number of matinee tickets that were sold.
Let y represent the number of regular tickets that were sold.
Let z represent the number of student tickets that were sold.
Last Tuesday regal cinemas sold a total of 8500 movie tickets. It means that
x + y + z = 8500
Tickets can be bought in 3ways :matinee cost $5, students cost $6 all day and regular cost $8. Proceeds totaled $64605. It means that
5x + 8y + 6z = 64605- - - - - - - - -2
if twice as many students tickets were sold as matinee tickets, it means that
z = 2x
Substituting z = 2x into equation 1 and equation 2, it becomes
x + y + 2x = 8500
3x + y = 8500
y = 8500 - 3x - - - - - - - - - 3
5x + 8y + 6 × 2x = 64605
5x + 8y + 12x = 64605
17x + 8y = 64605- - - - - - - - - 4
Substituting equation 3 into equation 4, it becomes
17x + 8(8500 - 3x) = 64605
17x + 68000 - 24x = 64605
17x - 24x = 64605 - 68000
- 7x = - 3395
x = - 3395/-7
x = 485
z = 2x = 2 × 485
z = 970
Substituting x = 485 and z = 970 into equation 1, it becomes
485 + y + 970 = 8500
1455 + y = 8500
y = 8500 - 1455
y = 7045
What is 5,384,981 to the nearest ten-thousands place?
Answer:
5,380,000
Step-by-step explanation:
answer question below please
solve for x
Answer:
The answer to your question is x = 12
Step-by-step explanation:
Data
BC = 7
DE = x
AB = 7
BD = 5
Process
To solve this problem use proportions and cross multiplication. Compare the ΔADE and ΔABC.
DE / (AB + BD) = BC / AB
-Solve for DE
DE = BC (AB + BD) / AB
-Substitution
DE = 7(7 + 5) / 7
-Simplification
DE = 7(12) / 7
DE = 84/7
-Result
DE = 12
Plot point A at (4,3). Translate point A left 5 units. Label this point B. Give the coordinates of point B.
Not going to plot the points for you. I expect that is within your comprehension.
If you plot point B five units to the left of A, that means x is going to decrease by 5. That means that the coordinates of B are B(4 - 5, 3) = B(-1, 3).
Hope this helps.
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night. A box-and-whisker plot. The number line goes from 20 to 80. The whiskers range from 25 to 70, and the box ranges from 40 to 55. A line divides the box at 50. A bar graph titled Minutes spent reading. 4 students spent 25 to 34 minutes; 4 spent 35 to 44; 6 spent 45 to 54; 4 spent 55 to 64; 2 spent 65 to 74. Which statements best describe the box plot or histogram? Check all that apply. Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45. Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20. Referring to the box plot, the median of the data is 50. Referring to the histogram, the median of the data is 49.5. The range of the data can be found using the box plot. The range of the data can be found using the histogram.
The statement best describes the box plot or histogram is B,C and E
We have given that,
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.
What is the box and whisker method?A box and whisker plot is defined as a graphical method of displaying variation in a set of data
A box-and-whisker plot
B-Using the information in the histogram, the total number of students surveyed is,
=4 + 4 + 6 + 4 + 2
= 20.
C-Referring to the box plot, the median of the data is 50.
E-The range of the data can be found using the box plot.
Therefore the statement best describes the box plot or histogram is B,C and E.
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Answer:
B,C,E
Step-by-step explanation:
What is the slope of the line
Answer:
-1
Step-by-step explanation:
The rise over run is -2 over -2.
-2/-2=-1
Find the missing length of the triangle.
5.6 in.
10.6 in.
Answer:
9 in
Step-by-step explanation:
The missing length of the right angle triangle is approximately 12 in.
The missing length of the right-angle triangle can be found using the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of one side of the triangle is 5.6 in and the length of the other side is 10.6 in. Let's substitute these values into the formula:
a² + b² = c²
(5.6 in)² + (10.6 in)² = c²
31.36 in² + 112.36 in² = c²
143.72 in² = c²
Now, we can take the square root of both sides to find the length of the hypotenuse:
c = √143.72 in² ≈ 12 in
Therefore, the missing length of the right angle triangle is approximately 12 in.
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Find the vertical asymptotes of the following function:
y=x+2
_______
x^2 +2x−8
Select the appropriate response:
A) horizontal asymptotes x = −4, 5
B) horizontal asymptotes x = −4, 4
C) vertical asymptotes x = −8, 4
D) vertical asymptotes x = −4, 2
Help please! 50 points!
Answer:
D) vertical asymptotes x = −4, 2
Step-by-step explanation:
First you factor the denominator: x^2 +2x−8
Find factors of -8(c) that add together to give 2(b): 4 and -2
Rewrite the equation: x^2+4x-2x-8
Factor out common variables: x(x+4)-2(x+4)
Group the things inside and outside the parentheses together: (x-2)(x+4)
Solve: x-2=0 so x=2 and x+4=0 so x=-4
Answer:
D) vertical asymptotes x = −4, 2
Step-by-step explanation:
x² + 2x - 8 = 0
x² + 4x - 2x - 8 = 0
x(x + 4) - 2(x + 4) = 0
(x + 4)(x - 2) = 0
x = 2, -4
Whats the answer?? I'm horrible at math ;-;
Answer:
Matt's Answer.
Step-by-step explanation:
Note that in the equation, you need a radius (r). However, a diameter is given, which is 15 centimeters. This means that, to solve this equation, you must first divide 15 by 2, to be able to continue to solve. In Matt's case, he failed to do that.
~
What is the slope of the line that passes through (0,5) and (8,27)?
Answer:
the slope of the line is 2.75
Slope intercept form (y = mx + b) y = 2.75x + 5
In ΔFGH, the measure of ∠H=90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of ∠G?
Answer:
55/48
Step-by-step explanation:
We can find the tangent of ∠G using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Considering triangle ΔFGH, where ∠H=90°
The opposite side is FH, the hypotenuse side is GF and the adjacent side is HG hence,
Tan ∠G = FH/HG
= 55/48
Answer:
55:48
Step-by-step explanation:
Given a right angles triangle ∆FGH
where ∠H=90°, HG = 48, FH = 55, and GF = 73,
Based on the diagram attached
To find the tangent of angle G, we will use the concept of SOH CAH TOA in trigonometry identity.
According to TOA:
Tan ∠G = Opposite/Adjacent
Note that the opposite side will be the side facing the angle we are considering i.e ∠G
Opposite = 55
Adjacent will be the base of the triangle = 48
Tan∠G = 55/48
The ratio that represents the tangent of ∠G is 55:48
Tyrone had a chocolate bar, of which he gave one-half to his friend Nora. Nora gave one-half of her piece to her friend Eduardo. What fractional part of the original chocolate bar did Eduardo get?
What is the measure of an angle that turns through 1/3 of a circle
Answer: 360 degrees
Step-by-step explanation:
Multiply by 1/3. 360(1/3)=120.
Final Answer:
The measure of an angle that turns through 1/3 of a circle is 120 degrees.
Explanation:
To find the measure of an angle that turns through 1/3 of a circle, you would follow these simple steps:
1. Understand what a full circle represents in terms of angle measure: A full circle rotation is equal to 360 degrees. This is because a degree is defined such that there are 360 of them in a full rotation.
2. Calculate a third of this full circle: Since we're interested in finding what 1/3 of a full rotation is, you simply divide the full circle angle measure by 3.
So you take the 360 degrees and divide by 3:
360 degrees / 3 = 120 degrees
Therefore, the measure of an angle that turns through 1/3 of a circle is 120 degrees.
5/6 times 1/3. dived by 2/3 divided 1/2
Answer:
5/6 (please give branliest)
Step-by-step explanation:
5/6 * 1/3 = 5/18
5/18 / 2/3 = 5/12
5/12 / 1/2 = 5/6
Answer:
I'm pretty sure it is 5/6
Step-by-step explanation:
Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school
A.) calling every third person on the soccer team's roster to determine how many of the team members have completed their
fundraising assignment
b.) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear
glasses
c.) sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction
the residents of the town
d.) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want
to be able to leave campus during lunch
Answer:
b) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.
d) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.
Step-by-step explanation:
These are the two options that are most likely to give you a sample that fairly represents the population. In the first case, the sample that you obtain is likely to be a good representation because Main Street is a road where a great variety of people walk. Moreover, 5 pm is also a time that will allow you to see a great number of different people. The second answer will also give you a good sample, as the poll would include all students in the lunch room, which is all students in the school (the whole population).
How many numbers have an absolute value of 6
Answer:
4
Step-by-step explanation:
Hope this helps
Answer:
Search web.
Web results= absolute value of 6 is 6.
Step-by-step explanation:
Students at freeman middle school have a choice of water, milk, or juice. from a survey, it was determined
Answer:
the probability that exactly three of four randomly selected students do not prefer water is;
P = 125/1296 = 0.096
Completed question:
Students at Freeman Middle School have a choice of water, milk, or juice for breakfast. From a survey, it was determined that 50 students prefer water, 100 prefer juice, and 150 prefer milk. You want to know the probability that exactly three of four randomly selected students do not prefer water.
Step-by-step explanation:
Preference from survey results;
Water = 50
Juice = 100
Milk = 150
Total = 50+100+150 = 300
the probability that a selected students do not prefer water;
P1 = (100+150)/300 =250/300 = 5/6
the probability that a selected students prefer water;
P2 = 50/300 = 1/6
the probability that exactly three of four randomly selected students do not prefer water is;
P = P1 × P1 × P1 × P2
P = (5/6)^3 × 1/6
P = 125/1296 = 0.096
Answer:
0.096
Step-by-step explanation:
. Given the first term "a" and the common ratio "r", generate the next three terms in the geometric sequence: a = 12.3; r = 0.5. (Write in decimal form to the thousandths place.) *
Answer:
i wanna say 12.8, 13.3, 13.8
im not sure though, i hope this helps
How do you identify an exponential equation as growth or decay? Y = a(b)^x
Step-by-step explanation:
y = a (b)ˣ
If 0 < b < 1, the function is exponential decay.
If b > 1, the function is exponential growth.
Bus A and Bus B leave the bus depot at 7 am. Bus A takes 25 minutes to do its route and bus B takes 40 minutes to complete its route. At what time are they both back at the bus depot together?
Bus A and Bus B leave the bus depot at 7 am. At 10:20 AM are they both back at the bus depot together.
Given:
Bus A takes 25 minutes to complete its route once Bus B takes 40 minutes to complete its route To find time when they will be back at the bus depot together we need to find LCM of 25 & 40 Minutes=> 25 = 5 * 5
=> 40 = 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 5 * 5=> = 200
Thus, After 200 minutes Buses will be back at the bus depot together
200 minutes = 3 hr 20 Minutes 7 : AM + 3 hr 20 Minutes => = 10 : 20 AMThus, At 10: 20 AM Buses would be back at the bus depot together.
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Bus A and Bus B will both be back at the depot at the same time at 10:20am.
Explanation:To solve the problem, we need to determine when both Bus A and Bus B will be back at the depot at the same time. Since Bus A takes 25 minutes to complete its route and Bus B takes 40 minutes, we need to find the common multiple of these two numbers. The smallest common multiple of 25 and 40 is 200. This means that both buses will be back at the depot at the same time after 200 minutes.
Since the buses leave the depot at 7:00 am, we add 200 minutes (or 3 hours and 20 minutes) to this time. Therefore, it's at 10:20 am that both buses are back at the depot at the same time.
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A car leaves town, A at the speed of 90 km/h. Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h. How much time will take to reach it?
Select the appropriate response:
A) t = 6hrs
B) t = 12 hrs
C) t = 30 min
D) None of the answers are correct
Option B is correct, it will take 2hrs to reach it.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
A car leaves town, A at the speed of 90 km/h.
Distance covered by A: 90t
Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h
Distance covered by B: 120(t - 3)
90t = 120(t - 3)
Apply distributive property
90t = 120t - 360
30t = 360
Divide both sides by 360
t = 12
Hence, option B is correct, it will take 2hrs to reach it.
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In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. Consider the following facts about the scoring distributions for some NCAA Division I basketball teams. Each team has 121212 players. At Baylor University, there are 666 players who each score 121212 points per game, and there are 666 players who each score 000 points per game. At the University of Maryland, 111 player scores 585858 points per game, 111 player scores 141414 points per game, and the rest of the players score 000 points per game. At Dartmouth College, 444 players score 555 points per game, 444 players score 666 points per game, and 444 players score 777 points per game.
Which of the following is true? Choose all answers that apply: Choose all answers that apply:
(Choice A) A At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice B) B At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice C) C The median number of points per player per game is the same at all 333 schools.
(Choice D) D The mean number of points per player per game is the same at all 333 schools.
Answer:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Step-by-step explanation:
Baylor University
6 players who each score 12 points per game
6 players who each score 0 points per game.
The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12
[tex]Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6[/tex]
University of Maryland
1 player scores 58 points per game,
1 player scores 14 points per game,
The rest(10) of the players score 0 points per game.
The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58
[tex]Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0[/tex]
Dartmouth College
4 players score 5 points per game,
4 players score 6 points per game,
4 players score 7 points per game.
The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7
[tex]Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6[/tex]
The following applies:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
In college basketball, the mean and median number of points per player per game can be different depending on the scoring distribution of the team. At Dartmouth, the mean is greater than the median due to players scoring different points. At Maryland, the mean is also greater than the median due to a few players scoring higher points. The median and mean can vary across different schools and teams.
Explanation:Choice A: At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game. The mean is calculated by summing up all the scores and dividing by the total number of players, while the median is the middle value when the scores are arranged in increasing order. With players scoring different points per game at Dartmouth, there will be players scoring more than the mean, pulling the mean up and making it greater than the median.
Choice B: At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. With only a few players scoring points other than 0, these outlier scores will cause the mean to be greater than the median.
Choice C: The median number of points per player per game can be different at different schools. In the case of Dartmouth, the median could be greater than the mean due to a large number of players scoring the same lower points per game. In the case of Maryland, with a few players scoring higher points, the median could be lower than the mean.
Choice D: The mean number of points per player per game can be different at different schools, as explained in Choices A and B.
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