ILL GIVE BRAINLIEST AND 50 POINTS TO CORRECT ANSWER
x = a + b + 4
a ∝ y^2, b ∝ 1/y when x = 18, y = 2 and when x = -3, y = 1 then find x when y = 4.
TYVM!!
Answer:
81
Step-by-step explanation:
Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).
From the given values:
1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).
2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).
We can set up two equations using the given proportionalities and the given values:
Equation 1: \(a = ky^2\)
Equation 2: \(b = \frac{c}{y}\)
Substituting these into the first given condition:
\(ky^2 + \frac{c}{y} + 4 = 18\)
Substituting these into the second given condition:
\(ky^2 + \frac{c}{y} + 4 = -3\)
Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).
Let's solve the equations:
From the first equation:
\(k(2^2) + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} = 14\)
From the second equation:
\(k(1^2) + \frac{c}{1} + 4 = -3\)
\(k + c + 4 = -3\)
\(k + c = -7\)
Now we have a system of two equations:
1. \(4k + \frac{c}{2} = 14\)
2. \(k + c = -7\)
Solve the second equation for \(k\): \(k = -c - 7\)
Substitute this into the first equation:
\(4(-c - 7) + \frac{c}{2} = 14\)
\(-4c - 28 + \frac{c}{2} = 14\)
\(-8c - 56 + c = 28\)
\(-7c = 84\)
\(c = -12\)
Substitute \(c\) back into \(k + c = -7\):
\(k - 12 = -7\)
\(k = 5\)
Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:
\(a = 5y^2\)
\(b = \frac{-12}{y}\)
Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):
\(x = 5(4^2) + \frac{-12}{4} + 4\)
\(x = 80 - 3 + 4\)
\(x = 81\)
So, when \(y = 4\), \(x\) is 81.
Please, help me with this!
Answer:
D
Step-by-step explanation:
1/2 = 20/40, and 1 = 40/40. 36 is 4 away from 40, and 20 is 20 away from 40. Therefore, 36/40 is closer to 1 than it is 20/40, or 1/2. Hope this helps! Have a great day! :)
Answer:
D
Step-by-step explanation:
PLS HELP FOR MY PROJECT!!!!
Violet's car used 5/6 of a gallon to travel 17 1/2 miles. At what rate does the car use gas, in miles per gallon?
First, reason down from 5/6 to 1/6 Enter all values as fractions (proper or improper) or whole numbers. You will need to convert mixed numbers to improper fractions.
Answer:
Therefore, the car uses gas at a rate of 21 miles per gallon.
Step-by-step explanation:
If Violet's car used 5/6 of a gallon to travel 17 1/2 miles, we can find the rate at which the car uses gas (in miles per gallon) by dividing the distance traveled by the amount of gas used.
To do this, we need to convert the mixed number 17 1/2 to an improper fraction:
17 1/2 = 35/2
So, the rate at which the car uses gas is:
(35/2) miles ÷ (5/6) gallons
To divide by a fraction, we can multiply by its reciprocal:
(35/2) miles ÷ (5/6) gallons = (35/2) miles x (6/5) gallons
Simplifying, we get:
(35/2) x (6/5) = (35 x 6)/(2 x 5) = 210/10 = 21
Therefore, the car uses gas at a rate of 21 miles per gallon.
What is $400 at 3% for 5 years?
A. Find interest earned
B. Find the balance of the account
Answer:
463.71
Step-by-step explanation:
1. The distance between two cities is 144 km, it takes me 3 hours to travel between these cities. What speed did I travel at?
2. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?
3. A whale swims at a constant speed of 8m/s for 17s. What distance did it travel?
*Given numbers:
*Find:
*Formula
*Solution
*Final Answer:
Each Question this is science and math
Answer:
1- 48 km/h
2- 36 km
3- 136 m
Step-by-step explanation:
1- 144:3=4
2- 18x2=36
3- 8x17=136
HELP ASAP!!
The interior angles formed by the sides of a hexagon have measures that sum to 720°.
What is the measure of angle F?
Enter your answer in the box.
m∠F=
°
I think the answer is angle f is 100 degrees
An automated car wash can wash 6 cars in 1 hour.
How long would it take to wash 18 cars?
Responses
A-2 hours
B-3 hours
C-4 hours
D-5 hours
Answer:
B-3 hours
Step-by-step explanation:
It's actually effortless. you divide the number of cars by six. Mark me brainliest?
Need answer asap pls and ty, will give brainly if right
Answer:
x = 90,
3x = 270
Step-by-step explanation:
We have a polygon that has 6 sides. We need to use the formula [tex]S=(n-2)*180[/tex] so we can create an algebraic equation to solve for x.
n = number of sides
[tex]S=(6-2)*180[/tex]
Evaluate
[tex]S=720[/tex]
Now we need to create an algebraic equation to find the value of x.
[tex]3x + x +45+135+45+135=720[/tex]
Add like terms
[tex]4x+360=720[/tex]
Subtract 360 on both sides
[tex]4x=360[/tex]
Divide by 4
[tex]x=90[/tex]
The value of x = 90.
To solve for 3x, the equation means 3 * x. We know what x is, so we just plug in 90.
[tex]3*90=270[/tex]
[tex]3x=270[/tex]
To check our work, add up all angle measures to see if they add up to 720.
[tex]270+90+45+135+45+135=720[/tex]
The table lists recommended amounts of food to order for 25 party guests. Nathan and Amanda are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should Nathan and Amanda order for a graduation party with 45 drop-in guests?
Fried Chicken
28 pieces
Deli Meats
4 and one third
pounds
Lasagna
10 and three fourths
pounds
Answer:
deli meats or lasagna
Step-by-step explanation:
Abdul wants to rent a boat and spend at most $35. The boat costs $8 per hour, and Abdul has a discount coupon for $5 off. What are the possible numbers of hours Abdul coult rent the boat?
Use t for the number of hours, write your awnser as an inequality solved for t.
Answer:
Abdul can rent the boat for at most 5 hours.
Step-by-step explanation:
Let's call the number of hours Abdul rents the boat "t".
The cost of renting the boat without the discount coupon is $8 per hour, so the cost would be 8t dollars.
With the discount coupon, the cost of renting the boat would be 8t - 5 dollars.
We know that Abdul wants to spend at most $35, so we can write the inequality:
8t - 5 ≤ 35
Solving for t, we get:
8t ≤ 40
t ≤ 5
Therefore, Abdul can rent the boat for at most 5 hours.
50 POINTS ASAP!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot.
A line plot titled Flights Taken. The horizontal line begins at 3, with each unit marked up to 14. There is one dot above 6, 9, 10, and 11. There are two dots above 5, 7, and 8.
Which of the following best describes the spread of the data? Explain its meaning in this situation.
The data has a range of 11, which is a wide spread. This means that one student had 11 fewer flights than the students with the most number recorded.
The data has a range of 6, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students.
The data has a range of 11, which is a narrow spread. This means that there is about the same number of flights taken by each of the students.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
The data has a range of 11, which is a wide spread. This means that there is a large difference in the number of flights taken by the students, with one student having taken 11 more flights than the student who took the least number of flights recorded. In this situation, the spread of the data indicates that some students have taken significantly more flights than others.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
How to obtain the range of a data-set?The difference between the highest and lowest values in a data collection indicates the range of that data set.
The dot plot displays the frequency of each amount observed, so:
The lowest number is of 5.
The highest number if of 11.
Then. the range is
=11 - 5
= 6.
Learn more about range of a data-set here: brainly.com/question/24326172
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i need help on the (b.) part pls, thanks
Answer: I can't see
Step-by-step explanation:
Jenny runs each lap in 8 minutes. She will run less than 96 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
12 ≥ n
Step-by-step explanation:
8 minutes a lap is EXTREMELY slow, what is she doing? Crawlling?
96/8 ≥ n
12 ≥ n
Answer:
12 laps.
Step-by-step explanation:
If she runs 8 minutes a lap and she runs 96 minutes in total then all you have to do is divide 96 by 8.
96÷8=12
A wedding cake has two layers, as shown. Each layer is in the
shape of a cube. The bottom of the cake and the area where
the two cakes meet are not frosted. What is the area that will be frosted on the bottom layer?
The area not frosted in the bottom layer of the cake is 680 square inches. This can be calculated by identifying the total area and the frosted in both the cube-shaped layers and subtracting the same.
Given, the sides of the cube on top are 6 inches, the sides of the cube below are 10 inches. To calculate the total surface area of cake = surface area of top layer + surface area of bottom layer) = [tex](side^{2} *number of sides + side^{2} *number of sides)[/tex]
= 6*6*6+10*10*6 = 816 square inches.
Let us calculate the total area of the cake that is not frosted, = (area of bottom+area of connection) = [tex]side*side + side *side[/tex]= 6*6+10*10 = 136 square inches. To find the area of the cake that is not frosted on the bottom layer,
=(total surface area of the cake - total area of the cake not frosted)
= 816 - 135 square inches = 680 square inches. Therefore, the total area not frosted on the bottom layer is 680 square inches.
To learn more about the area calculation, https://brainly.com/question/30796607
simplify the expression 4x + 3x
I’m not rushing you guys but I have only 2 minutes left to finish this please answer quickly as you can
hgelp i cant do math whoops oopsie sooo silly
Answer:
Step-by-step explanation:
f
Answer:
here is your answer:
mark me as brainlieast pls this took me forever.
16.
(07.07 LC)
A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t? (1 point)
t = 50d
d = 50 + t
d = 50t
t = 50 + d
I am to believe it's d = 50t
hope that helps
Geological processes are events that happen on Earth over and over again throughout time. How can you tell that the formation of volcanoes is a geological process that will repeat over time?
The formation of volcanoes is considered a geological process because it is a natural occurrence that results from the movement and interactions of tectonic plates beneath the Earth's surface.
The following are some ways that suggest the formation of volcanoes is a geological process that will repeat over time:Plate tectonics: The movement and collision of tectonic plates are the main drivers of volcanic activity on Earth. As the plates move, they create areas of tension and pressure that can lead to the formation of volcanoes. Since plate tectonics is an ongoing process, the potential for the formation of volcanoes will continue over time.Volcanic history: The geological record of the Earth shows that there have been many volcanic eruptions throughout the planet's history. This suggests that the formation of volcanoes is a recurring process that has happened repeatedly in the past and will continue to occur in the future.Active volcanoes: There are currently more than 1,500 active volcanoes on Earth, which is a clear indication that volcanic activity is an ongoing process. These active volcanoes are located in regions that are associated with tectonic plate boundaries and hotspots, which are also evidence that volcanic activity is a geological process that will continue to occur over time.Geological surveys: Geologists can study the geological features of an area to identify whether it is prone to volcanic activity. For example, if an area has a history of volcanic eruptions or contains volcanic rock formations, it suggests that the area is likely to experience future volcanic activity.Overall, the combination of plate tectonics, volcanic history, the presence of active volcanoes, and geological surveys provide strong evidence that the formation of volcanoes is a geological process that will continue to occur over time.
Learn more about formation of volcanoes on
https://brainly.com/question/264008
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Please I need help with this question,look at the picture below,solve and show steps how to solve
Answer:6
Step-by-step explanation:
Multiple choice question. Due in 5 hours.
Answer: A
Step-by-step explanation:
cakes = x pies = y
total number of cakes and pies sold: 75
so x + y = 75
Total money earned: $340
so $4 of x amount cakes + $5 of pies sold =$340
So,
x + y = 75
4x + 5y = 340
please please pleaseeee help I beg you ill give 25 points please
Answer:nonlinear i think
Step-by-step explanation:
please help with this
Answer: d
Step-by-step explanation:
i just know.
Answer:
d
Step-by-step explanation:
i took the test
Need answer asap pls and ty, will give brainly if it's right
Answer:
There isn’t any attachment of any sort. I apologize but if you reupload I can help you.
Step-by-step explanation:
which ordered pair is the solution to this system of equations
Answer: (-1, 3)
Step-by-step explanation:
x = -1
y = 3
3 = -1 + 4
-1 + 3 = 2
Answer:
(-1, 3)
Step-by-step explanation:
One way to solve this is to simply plug the points into the equations, and see if both equations hold true.
(1, 5)
5 = 1 + 4 is true
However
1 + 5 = 2 is not true, therefore this isn't the answer.
(0, 2)
2 = 0 + 4 isn't true so we can move on to the next point.
(-1, 3)
3 = -1 + 4 is true
and
-1 + 3 = 2 is also true
Therefore, (-1, 3) is the answer.
A bowl contains red and brown marbles. A scoop of marbles that is a representative sample contains 18 red marbles and 27 brown marbles.
a. Can you predict if there are more red marbles or more brown marbles in the bowl? Explain.
b. There are 850 marbles in a bowl. If you pick one marble from the bowl, are you more likely to pick a red marble or a brown marble?
a. Based on the information provided, it is not possible to predict if there are more red marbles or more brown marbles in the bowl, because the sample size is not given. It is possible that the sample is not representative of the overall population of marbles in the bowl, and thus the sample proportions may not accurately reflect the actual proportions of red and brown marbles in the bowl.
b. To determine the probability of picking a red or brown marble from the bowl, we need to know the overall proportion of red and brown marbles in the bowl. From the given sample, we know that the proportion of red marbles is 18/45 or 0.4, and the proportion of brown marbles is 27/45 or 0.6. Assuming that these proportions are representative of the overall population of marbles in the bowl, we can predict that we are more likely to pick a brown marble (with a probability of 0.6) than a red marble (with a probability of 0.4) if we pick one marble from the bowl.
The first angle in a triangle the measure of the first angle is three times that of the second angle. The second angle is two times that of the third angle. Find the ratio of the angles in the triangle.
Answer
6;2;1
Step-by-step explanat
first angle is three times that of the second angle.
second angle is two times that of the third angle.
so first angle is 6 times that of the 3rd angle.
so 6;2;1
Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems.
Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number)
1. + 2 - (+3) =
2. + 11 + (-10) =
3. 3 + (-5 ) =
4. + 22 - 21 =
5. - 8 - (-44) =
6. -12 - (-6 ) + 3 =
7. + 16 -(-12) =
8. - 36 - (-36) =
9. -4 * 10 =
10. -1 * -1 =
11. + 7 * - 7 =
12. -4 / 4 =
13. -7 * -5 =
14. -10 * + 8 =
15. -2 * - 7 =
1. -1
2. 1
3. -2
4. 1
5. 36
6. -3
7. 28
8. 0
9. -40
10. 1
11. -49
12. -4
13. 35
14. -80
15. 14
Hope that helps!
The population of a city increases by 2% per year. If this year's population is pp, which expression represents next year's population?
Find the annual interest rate. Round your answer to the nearest hundredth of a percent.
I=$160.67, P=$2000, t=8 months
Answer:
Next year's population would be represented by the expression pp * 1.02.
Step-by-step explanation:
BEING TIMED! HELP ASAP!!
What is the measure of angle A in this triangle?
Enter your answer in the box.
m∠A=
°
I am to believe the answer is 50 degrees
Answer: hope this helps ♡
m∠A= = 50°
Step-by-step explanation:
Triangle = 180°
A + B + C = 180°
(2x-10)° + (x+30)° + 70° = 180°
2x° + x° + 30° - 10° + 70°= 180°
3x° + 90° = 180°
3x° + 90° - 90 = 180° - 90
3x = 90°
3x ÷ 3 = 90° ÷ 3
x = 30°
m∠A= (2×30-10)° = (60-10)° = 50°
You have a bag of marbles with 630 marbles in it: 110 red, 230 green, and 290 blue. You pull out 1 marble, record the color, and replace it.
After you do this 100 times, the table shows the number of times each color was drawn:
Red Green Blue Total
21 35 44 100
Give exact, reduced answers.
a) What is the theoretical probability of drawing a blue?
b) What is the experimental probability of drawing a blue?
Answer:
a) The theoretical probability of drawing a blue marble is the ratio of the number of blue marbles to the total number of marbles in the bag, which is:
P(blue) = number of blue marbles / total number of marbles
= 290 / 630
= 29 / 63
So the theoretical probability of drawing a blue marble is 29/63.
b) The experimental probability of drawing a blue marble is the ratio of the number of times a blue marble was actually drawn to the total number of trials, which is:
P(experimental blue) = number of times a blue marble was drawn / total number of trials
= 44 / 100
= 11 / 25
So the experimental probability of drawing a blue marble is 11/25.
Step-by-step explanation:
espero te ayude
