Answer:
x=66.667
Step-by-step explanation:
Basically, if y varies directly with a value x, you get an equation of the form y=kx, where k is a constant. To answer the question, first substitute 9 into y, and 24 into x.
9=24k
k=0.375
k is 0.375, so to get x, substitute 0.375 into k and 25 into y
25=0.375x
x=66.667
And we got it!
Final answer:
To find x when y = 25 in a direct variation where y = 9 when x = 24, first find the constant of proportionality (k = 3/8), then use this constant to solve the equation 25 = (3/8)x which yields x ≈ 66.67.
Explanation:
The student's question concerns direct variation, which is a concept where one variable changes in proportion to another variable. In this particular problem, the measure y varies directly with x. Given that y = 9 when x = 24, we can use this information to establish the constant of proportionality k where y = kx.
First, we solve for k using the initial condition:
9 = k * 24
k = 9/24
k = 3/8
Now that we have the constant of proportionality, we can find x when y = 25 by setting up the equation:
25 = (3/8)x
x = 25 * (8/3)
x = 200/3
x ≈ 66.67
Therefore, when y = 25, the value of x is approximately 66.67.
Anya grandfather gives her a collection of souvenir subway tokens. He gives her 9 tokens from the 1980s. She wants to make a display of each type of token. She wants all three displays to have rows with the same number of tokens in them . Are the number of tokens in each of Anya's collections prime or composite numbers? Explain your reasoning
Tracy ran a lap around the school track in 74.2 seconds.Malcom ran a lap in 65.92 seconds. Estimate the difference in the times in which the students completed the lap.
Answer:
The difference would be 8.3 second
Step-by-step explanation:
There are 32 students in Mrs. Worrell's Classroom. There 12 boys and 20 girls. She needs to select two students to represent her class for a Agora Student Math Department meeting. She will put all students names on a piece of paper and randomly select two names, one after the other. What is the probability that she will select a boy first and then a girl?
Answer:
15/64 = 23.4 %
Step-by-step explanation:
Let's consider the first two selections. Let's call B the case in which she extracts a boy and G the case in whish she extracts a girl.
For each selection, the probabilty of event B (selecting a boy) is
[tex]P(B)=\frac{12}{32}=\frac{3}{8}[/tex]
While the probability of event G (selecting a girl) is
[tex]P(G)=\frac{20}{32}=\frac{5}{8}[/tex]
We are asked to find the probability that the first two events are B and then G:
[tex]P(B,G)[/tex]
In the first two selections, we have 4 possible combinations:
BB, BG, GB, GG
The probability for each combination is given by:
[tex]P(BB)=P(B)\cdot P(B) = \frac{3}{8}\cdot \frac{3}{8}=\frac{9}{64}=14.1 \%[/tex]
[tex]P(BG)=P(B)\cdot P(G) = \frac{3}{8}\cdot \frac{5}{8}=\frac{15}{64}=23.4 \%[/tex]
[tex]P(GB)=P(G)\cdot P(B) = \frac{5}{8}\cdot \frac{3}{8}=\frac{15}{64}=23.4 \%[/tex]
[tex]P(GG)=P(G)\cdot P(G) = \frac{5}{8}\cdot \frac{5}{8}=\frac{25}{64}=39.1 \%[/tex]
The second one is the probability we are searching for, so the probability that she will select a boy first and then a girl is 15/64, or 23.4%.
Calculate the total cost of an item bought at a negotiated price of $17,250 with 7.7 percent sales tax and a $95 registration fee.
$17,250
$17,376.75
$18,673.25
$18,578.25
The answer is $18,673.25
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 3 grid lines above the x-axis. What are the coordinates of point A? ( fraction negative 1 and 1 over 4, fraction 3 over 4) ( fraction 1 and 1 over 4, fraction negative 3 over 4) ( fraction negative 3 over 4, fraction 1 and 1 over 4) ( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answer: (-5/4, 3/4) = (-1 1/4, 3/4)
Step-by-step explanation:
Left of y axis means x coordinate is negative
Above x axis means y coordinate is positive
Assume the vague description means there are 17 gridlines from -2 to 2,
-2.0, -1.75, -1.5, -1.25, -1.0, ..., 1.75, 2.0
use the given information to prove that m<QPS=m<TPV
To prove that m
To prove that m<QPS = m<TPV, we need to use the given information and apply the congruent triangles theorem. Let's assume that <QPS = <TPV. From the given information, we can determine that <QPS = I and <TPV = V. Since the angles are congruent and the corresponding sides are proportional, we can conclude that m<QPS = m<TPV.
Learn more about Congruent Triangles here:https://brainly.com/question/22062407
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Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
1 mile = 5,280 feet
1. 19.80 feet ps
2. 19.84 feet ps
3. 45.3 feet ps
4. 45.36 feet ps
Answer:
Correct choice is 4.
Step-by-step explanation:
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work, then he travels with speed
[tex]\dfrac{30}{58.2}=\dfrac{300}{582}=\dfrac{50}{97}\ \text{miles per minute}.[/tex]
If 1 mile = 5,280 feet, then his speed is
[tex]\dfrac{50}{97}\cdot 5280=\dfrac{264000}{97}\ \text{feet per minute}.[/tex]
Since 1 minute = 60 seconds, then his speed is
[tex]\dfrac{264000}{97\cdot 60}=\dfrac{4400}{97}\approx 45.36\ \text{feet per second}.[/tex]
Answer:
45.36 feet ps IS THE ANSWER AND NOW GO AND SOLVE IT
Which of the following names a line segment
Answer:
The answer is C.
Step-by-step explanation:
A. name of ray
B. name of line
C. name of line segment
D. length of segment
Answer:
B is the answer
Step-by-step explanation:
15 Points!!!!!!!!! Mike attends basketball practice sessions every week. The coach assesses his progress at the end of each session by asking him to attempt 10 free throws. Prior to starting the sessions, Mike missed 6 out of 10 free throws. At the end of the first practice session, Mike missed 5 of his 10 free throws. At the end of the second session, he missed 4 of his 10 free throws. This constant decrease in the number of missed throws continues until Mike does not miss any of his 10 free throws at the end of a practice session. If the number of free throws Mike misses is dependent on the number of practice sessions he has attended, select the appropriate domain that describes this relationship.
A. D = [0, 10]
B. D = {0, 1, 2, 3, 4, 5, 6}
C. D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
D. D = [0, 6]
Answer:
In the case of Mike's free throws, the Domain that describes this relationship can be either B or D.
Step-by-step explanation:
In the case of a relationship that represents a 'constant' increase or decrease, we know that there will be an independent and dependent variable. The independent variable is our 'x' value and the dependent variable is our 'y' value. In this case, they tell us that the number of free throws Mike misses is dependent on the number of practices sessions he has attended. Therefor, 'x' would represent the number of practices and 'y' would represent the number of missed free throws. At the start, before practices or an 'x' value of 0, Mike, misses 6 free throws. He continues to decrease his missed throws by for each practice, until the sixth practice where he misses none. So, the 'x' values would be 0, 1, 2, 3, 4, 5, and 6. This can be shown by letter 'B', which includes all numbers, or letter 'D', which represents all numbers between, and including 0 and 6.
Answer:
I'd choose B since it includes all of the numbers.
Step-by-step explanation:
Which additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.
Consider the given triangles.
Given: [tex]\angle C \cong \angle Q[/tex]
ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider the first part:
1. In triangles ABC and QPT
If we take [tex]\angle B \cong \angle P , BC \cong PQ[/tex] along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
2. If we take [tex]\angle A \cong \angle T[/tex] and [tex]AC= TQ=3.2[/tex] along with the given condition.
Then the triangles are congruent by ASA congruence criterion.
3. As,[tex]\angle C \cong \angle Q[/tex], [tex]\angle A \cong \angle T[/tex] and [tex]\angle B \cong \angle P[/tex], so the triangles can not be congruent.
4. If we take [tex]\angle A \cong \angle T[/tex] and [tex]BC \cong PQ[/tex] along with the given condition.
Then the triangles are congruent by AAS congruence criterion.
5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.
Answer: it’s A,B, and D
A regulation soccer field has an area of 59,400 square feet. If the length is 330 feet, what is the width in feet
Answer:
The answer is 180 feet.
Step-by-step explanation:
Here's your equation. (330 x W = 59,400). If you want to find the width then divide 59,400 by 330 and you get 180 feet.
You can check by multiplying 330 and 180 which will result in 59,000.
So the correct answer is 180 feet.
plsplsplsplsplsplspls help!!!!!!!!
Answer:
1. My estamite, close to -1
2. 1.5
3. Remote interior angles
4. 84
5. 60 degrees
Step-by-step explanation:
A shoe store sends an email survey to all customers who pay with a debit card. The previous month, 34,000 people made debit card purchases. Surveys were sent to 2,000 of these people, chosen at random, and 256 people responded to the survey. Identify the population and the sample. The population is 34,000 and the sample is 2,000. The population is 2,000 and the sample is 256. The population is 256 and the sample is 34,000. The population is 2,000 and the sample is 34,000. The population is 34,000 and the sample is 256.
Answer:
"The population is 34,000 and the sample is 256."
Step-by-step explanation:
The population is the general audience you will generalize about. While the sample is the subset of people you actually study or interview or receive responses. Here the population is 34,000 and the sample is 256.
Raul deposited $3000. Into a checking account that earned simple interest rate each year. After 3.5 years he earned $262.50 in interest. If no money was deposited or withdrawn from the account what was the annual interest rate?
It is 2.5 not what the other dude said it was
There are 8 brooms and 6 mops in a janitors closest. What is the ratio of the number of mops to the number of brooms
Answer:
The ratio of mops to brooms is 3:4
Step-by-step explanation:
To find this, we first need to simply plug in the numbers.
Mops:Brooms
6:8
Now we can simplify by noticing that both are divisible by 2
3:4
Answer:
IT SAID 3/7 FOR ME!
HDJKSHFNDSKLFDSFDS
Step-by-step explanation:
Given: g(x) = √ x− 3 and ℎ(x) = 2x − 7.
a) What are the restrictions on the domain of g° ℎ? Show your work for full credit.
xx ≥ _____________
b) What is g(ℎ(13))? Simplify your answer in lowest terms. Show your work for full credit
Answer:
Restrictions on the domain: x>=5
g(h(13)) = ±4
Step-by-step explanation:
g° ℎ is the composite function
We stick the function h in for x in the function g
g(x) = sqrt(x-3)
h(x) = 2x-7)
g(h(x)) = sqrt( 2x-7 -3)
g(h(x)) = sqrt( 2x-10)
The restrictions on the domain , or the allowed values of x
sqrt (2x-10) >= 0
Square each side
2x-10 >= 0
2x>= 10
Divide by 2
x>=5
Let x=13
g(h(13)) = sqrt( 2*13-10)
sqrt(26-10)
sqrt(16)
±4
Matt has 12 balloons that he wants to give to 4 friends. He wants each friend to have the same number of balloons. Select the three statements that describe how Matt should give the balloons to his friends.
Answer:
Step-by-step explanation:
Math has 12 ballons.
If we divide 12 by 4 friends we got 3, so we can have those situations:
He can give 3 to each friend, and he will not have any.
Also, he can give 2 for each friend , and he will have 4 more.
Also, he can give 1 for each friend, and he will have 8 more.
Matt has 12 balloons that he wants to give to 4 friends.
He wants each friend to have the same number of balloons.
Select the three statements that describe how Matt should give the balloons to his friends.
Each friend gets 124 balloons.
Each friend gets 12÷4 balloons.
Each friend gets 3 of the 12 balloons.
I got this correct and I also added screen shots that I got it correct
Please give a step by step explanation if you can since I don't understand this.
Answer:
Red grapefruit costs more per pound.
Step-by-step explanation:
Red grapefruit
y =2x
This is in the form y= mx+b where m is the slope and b is the y intercept
The cost per pound is the slope, which is 2
The cost per pound is $2
Pink grapefruit
We need to find the slope
We have 2 points (0,0) and (4,4)
m = (y2-y1)/(x2-x1)
= (4-0)/(4-0)
=4/4
= 1
The slope is 1
The cost per pound is $1
Answer:
The red grapefruit.
Step-by-step explanation:
Let's think for a moment about what the equation [tex]y=2x[/tex] represents. For any value of x, our y is going to be double that. What do our y and our x represent, then? We're told that y represents the cost of the red grapefruit, and that x is the weight of that grapefruit in pounds. What our equation then tells us is that the cost (in dollars) of red grapefruit is always twice as much as its weight.
What about the pink grapefruit? Instead of an equation, we're given a line on a coordinate grid. Let's see if we can find a pattern here. The y axis is still cost, and the x axis is still weight. We see at the very beginning that when x = 0, y = 0 too. Finding a few more points, we can see that when x = 1, y = 1; when x = 2, y = 2; and when x = 3, y = 3. This pattern continues, and we can capture it with the equation [tex]y=x[/tex].
Comparing the two equations [tex]y=2x[/tex] (red grapefruit) and [tex]y=x[/tex](pink grapefruit) we can see that the cost of red grapefruit grows twice as fast as pink grapefruit. To see which one costs more per pound, we can simply set x = 1 to find that red grapefruit costs [tex]y=2(1)=\$2[/tex] per pound, while pink grapefruit costs [tex]y=\$1[/tex] per pound, and since [tex]\$2>\$1[/tex], the red grapefruit costs more.
Enter numbers into the table so that the paired values are in a proportional relationship.
x 1 3 ____ 7 9
y ____ 18 30 42 54
Answer:
x- 5
y- 6
Step-by-step explanation:
A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.
The proportional constant is 6.
18/3=6
42/7=7
54/9=6
Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.
Answer:
The missing numbers are 5 and 6.Step-by-step explanation:
From the given table, if we divide each pair as y/x, we find the ratio is 6.
[tex]\frac{18}{3}=6\\\frac{42}{7}=6\\\frac{54}{9}=6[/tex]
Therefore, the missing numbers have to be in the same ratio.
[tex]\frac{x}{1}=6\\x=6[/tex]
[tex]\frac{30}{x}=6\\ x=5[/tex]
So, the missing numbers are 5 and 6, because they are also in the same ratio of 6.
Tom and his brothers caught 100 fish on a week-long fishing trip. the total weight of the fish was 239 pounds. part 1 out of 3 enter the expression that will find the weight of one fish. assume that the weight of each fish is the same. the expression that gives the weight of one fish is ÷ .
Answer:
Expression that gives weight of 1 fish: [tex]\frac{239}{100}[/tex].
The weight of 1 fish is 2.39 pounds.
Step-by-step explanation:
We have been given that Tom and his brothers caught 100 fish on a week-long fishing trip. The total weight of the fish was 239 pounds.
Assuming that the weight of each fish is the same, we can find weight of 1 fish by dividing the total weight of fish by total number of caught fish.
[tex]\text{The weight of 1 fish}=\frac{239}{100}[/tex]
Therefore, the expression that gives the weight of 1 fish is [tex]\frac{239}{100}[/tex].
Upon dividing 239 by 100 we will get,
[tex]\text{The weight of 1 fish}=2.39[/tex]
Therefore, the weight of 1 fish is 2.39 pounds.
Use the substation to solve the system of equations choose the correct ordered pair y=6x-4 y=7x-7
Answer:
(x, y ) = (3, 14 )
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
7x - 7 = 6x - 4 ( subtract 6x from both sides )
x - 7 = - 4 ( add 7 to both sides )
x = 3
substitute x = 3 into either of the 2 equations for y
using y = 6x - 4 = (6 × 3 ) - 4 = 18 - 4 = 14
solution is (3, 14 )
Katherine is using a cone to fill a cylinder with sand. If the radius and height are equal on both objects, and Katherine fills the cone to the very top, how many cones will it take to fill the cylinder with sand? Explain your answer.
Which statement correctly describes the end behavior of f(x)=ax+b, where a and b are positive numbers?
As x→∞, f(x)→∞, and as x→−∞, f(x)→∞.
As x→∞, f(x)→∞, and as x→−∞, f(x)→−∞.
As x→∞, f(x)→−∞, and as x→−∞, f(x)→∞.
As x→∞, f(x)→−∞, and as x→−∞, f(x)→−∞.
Answer:
The correct option is 2.
Step-by-step explanation:
The given function is
[tex]f(x)=ax+b[/tex]
Where, a and b are positive numbers.
The given function is the slope intercept form of a linear function. Where a is the slope and b is y-intercept.
Since slope is positive therefore function approaches to infinity as x approaches to infinity and function approaches to negative infinity as x approaches to negative infinity.
It is also proved by using limits.
[tex]lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}(ax+b)[/tex]
Apply limits.
[tex]lim_{x\rightarrow \infty}f(x)=a(\infty)+b=\infty[/tex]
Similarly,
[tex]lim_{x\rightarrow -\infty}f(x)=lim_{x\rightarrow -\infty}(ax+b)[/tex]
Apply limits.
[tex]lim_{x\rightarrow -\infty}f(x)=a(-\infty)+b=-\infty[/tex]
Therefore option 2 is correct.
[tex]f(x)\rightarrow \infty \text{ as }x\rightarrow \infty[/tex]
[tex]f(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]
PLEASE HELP ME WITH THIS PROBLEMS 2.
Answer: y = 8ˣ
Step-by-step explanation:
y = bˣ substitute the coordinate (1, 8) for x and y and solve for b:
8 = b¹ ⇒ 8 = b
**********************************************************************************
Answer: [tex]P = 10e^{.22t}[/tex], 1964
Step-by-step explanation:
[tex]P = P_{0}e^{kt}[/tex]
= [tex]10e^{.22t}[/tex]
= [tex]10e^{.22(24)}[/tex]
= 1964
********************************************************************************
Answer: 10,147.47 ; 29,881.05
Step-by-step explanation:
[tex]A = Pe^{rt}[/tex]
= [tex]9000e^{.06(2)}[/tex]
= 10,147.47
[tex]A = Pe^{rt}[/tex]
= [tex]9000e^{.06(20)}[/tex]
= 29,881.05
A new sports store recently opened downtown that specializes in baseball cards. Delmar has over 200 baseball cards in his collection and plans to see how much money he can get for some of his cards. After looking through Delmar's cards, the dealer tells Delmar that 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. The rest of the cards can be sold somewhere in the range of $3 to $10 each. If Delmar sells all of the cards worth $23.50 and $32.50, how much money would Delmar receive?
Answer: 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. This is all he wants to sell so the answer would be (23.5 x 15) + (27 x 32.5)
$1230
Please mark brainliest.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
What is the equation of the line represented by the table of values below?
A. Y = 3x - 2
B. Y = -3x + 2
C. Y = 3x + 2
D. Y = -3x - 2
Answer:
Step-by-step explanation:
I have $4.85 in my pocket what fraction in simplest form represents the amount of money I have in my pocket
Answer:97/20
Step-by-step explanation:
What is the answer to this problem write the correct sign = or > or < 2/3 { } 4/5=
Answer:
2/3 < 4/5
Step-by-step explanation:
because:
2/3 = 0.666
4/5 = 0.8
Coco's garden has 88 tomato plants, 44 pepper plants, 33 squash plants, and 66 pumpkin plants. For every 77 plants in Coco's garden, there are 22 \_\_\_\_____ plants. Choose 1 answer: Choose 1 answer: (Choice A) A Tomato (Choice B) B Pepper (Choice C) C Squash (Choice D) D Pumpkin
A case of pencils cost $15.If the academic team spends $135 on pencils for the school tournament,how many cases of pencils did the academic team buy?
Answer:
9
Step-by-step explanation:
135 / 15