Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.
Given :
Total number of adults = 150.
Total number of Women = 80.
Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:
Step 1 - Let the total number of men be x.Step 2 - Now, the total number of adults is 150 that is:150 = x + 80 ---- (1)
Step 3 - Subtract 80 from both the sides of the equation (1).150 - 80 = x + 80 - 80
70 = x
Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:
[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]
[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]
So, the ratio men:women in its simplest form is 7:8.
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If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15
The direction of fastest increase is along the line \(y = x + 1\).
Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:
[tex]\[ y = k \sqrt{x} \][/tex]
where [tex]\(k\)[/tex] is the constant of variation.
We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:
[tex]\[ 12 = k \sqrt{16} \][/tex]
[tex]\[ 12 = 4k \][/tex]
[tex]\[ k = 3 \][/tex]
Now we can write the equation of variation:
[tex]\[ y = 3 \sqrt{x} \][/tex]
To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]
[tex]\[ 15 = 3 \sqrt{x} \][/tex]
[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]
[tex]\[ \sqrt{x} = 5 \][/tex]
[tex]\[ x = 5^2 \][/tex]
[tex]\[ x = 25 \][/tex]
Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.
If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?
Two fair dice are rolled. find the probability of a "double" given that the sum is 11.
There are 0 (zero) probability of a "double" given that the sum is 11.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
Two fair dice are rolled.
And, The probability of a "double" given that the sum is 11.
Now,
Since, The the probability of a "double" means;
''Two fair dice after rolled gives the same numbers.''
Since, The sum of two same number is always gives the even number.
So, We cannot get the sum 11.
Hence, There are 0 (zero) probability of a "double" given that the sum is 11.
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If y = 5/17 when x = 10, find y when x=5
To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.
Explanation:To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):
y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15
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What is the length of AC
Answer:
126
Step-by-step explanation:
Answer:
The correct answer is D. 126
Step-by-step explanation:
In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.
The relationship that we can write is between the length of its sides.
The relationship is a division between the length of the sides :
[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒
[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]
Solving the equation
[tex]x=\frac{(140-x)}{81}.(9)[/tex]
[tex]x=\frac{(140-x)}{9}[/tex]
[tex]9x=140-x[/tex]
[tex]10x=140[/tex]
[tex]x=14[/tex] ⇒
If the side AC is [tex]140-x[/tex] the length is
[tex]140-14=126[/tex]
The correct option is D. 126
Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.
y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?
A leaf hanging motinles on a tree has what kimd of energy
Experts/ace plz helppp
table A from 2-3 minutes it rose 64.9-61.3 = 3.6
from 3-7 it rose 79.3 -64.9 = 14.4 = 3.6 degrees per minute
Table B needs to raise faster than 3.6 per minute
64.4 -61 = 3.4
64.6 - 61 = 3.6
64.3 -60.6 = 3.7
so the 3rd table is correct
find the x-intercept and the y-intercept of the graph of the equation 5x - y =35
What is the height of the wall that is 30 feet long and that required 2310 bricks to build
Answer:
11=h
Step-by-step explanation:
expand (2x + 3)^5 can you please show your work because i am still very confused on how to do this.
Express in exponential form.
Log2(x)=3
Answer:
[tex]2^{3}=x[/tex]
Step-by-step explanation:
We have to express the log in exponential form
The given expression is [tex]log_{2}(x)=3[/tex]
As we know, if [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]
So [tex]2^{3}=x[/tex] will be the esponential form of [tex]log_{2}(x)=3[/tex]
Please help me thank you!
Which plane figure generates a cylinder when it rotates about the dashed line?
Thank you :)
Answer:
3rd one
Step-by-step explanation:
Which of the following is the solution to 3/5 = 20/(x+3)?
3/91
-91/3
-3/91
91/3
Answer:
91/3
Step-by-step explanation:
Multiply by 5(x+3) and you get ...
3(x +3) = 100
x +3 = 100/3 . . . . . . . . . . divide by 3
x = 100/3 -3 = 91/3 . . . . subtract 3
Hank's pickup can travel 64 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 32 miles?
Graph the function shown in the picture. I need this submitted quick and I’m so confused. Please help!
Hisham is saving to buy a video game system. every month he spends $30 of what he earns. after four months, he has saved $300. how much money does hisham earn every month?
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A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
Answer: The first graph is the right graph according to the given situation.
Step-by-step explanation:
Given: Becky created a graph to represent her distance away from home one afternoon.
She left home and ran to the park⇒ She started running from zero distance from the home .⇒the second and fourth graphs are wrong .
After that she met some friends and stayed at the park, then walked back home using the same route.⇒ The first one is correct because there we can see the graph is parallel to time axis for a interval but in the third one it shows that she she hasn't took rest .
if y = 2x + 7 were changed to y = 1/2 x + 7 , how would the graph of the new function compare with the original ?
The change from y = 2x + 7 to y = 1/2 x + 7 alters the slope, making the new function's graph less steep. The y-intercept remains at y = 7, ensuring the graphs coincide at this point.
Explanation:The question asks how the graph of the function y = 1/2 x + 7 would compare to the graph of the original function y = 2x + 7. The key difference between these two functions is the slope part, which is the coefficient of x. In the original function, the slope is 2 indicating a rise of 2 on the vertical (y) axis for every increase of 1 on the horizontal (x) axis. But in the new function, the slope is 1/2, indicating a rise of only 1/2 on the y-axis for each increase of 1 on the x-axis. So, the new function's graph would be less steep than the original's. The y-intercept for both functions remains the same, at y = 7. These changes illustrate how the slope and y-intercept of the line equation (y = mx + b) determine the shape and position of the line on the graph.
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The sum of two numbers is $30$. the difference of twice the larger number and three times the smaller number is $5$. what is the positive difference between the two numbers?
The positive difference between the two numbers is 8, which is found by setting up a system of linear equations based on the sum of the numbers and the difference of twice the larger number and three times the smaller number.
To solve the system of equations given by the problem, we can set up two equations based on the information provided. Let x be the larger number and y be the smaller number. We are given:
The sum of two numbers is $30: x + y = 30.The difference of twice the larger number and three times the smaller number is $5: 2x - 3y = 5.Solving this system of equations will allow us to find the values for x and y. From the first equation, we can express y in terms of x as y = 30 - x.
Substituting this into the second equation gives us 2x - 3(30 - x) = 5, which simplifies to 2x - 90 + 3x = 5 and further to 5x = 95.
Dividing both sides by 5, we find x = 19. Now we can determine y by plugging x back into the first equation, resulting in y = 30 - 19, so y = 11.
The positive difference between the larger and smaller number is 19 - 11 = 8.
By graphing the system of constraints, find the values of x and y that maximize the objective function.
2<_x<_6
1<_y<_5
x+y<_8
Maximum for p=3x+2y
Answers:
A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)
Answer: (6,2)
Step-by-step explanation:
I need work shown please
Q:
x^2+3x-28
________
x^2-7x+12
A:
x+7
___
x-3
I just need work shown
Jessica rented 1 movie game and 3 Movies for $11.50 the cost of the video game is $4.75 to rent also the movie
If parallelogram rstu has all sides the same length then it would be true that rs = st
Find the quotient.
(6x 2 + 23x + 20) ÷ (5 + 2x)
3x - 4
3x + 4
3x +19
7x to the second power - x=6 find the solution set
A set of equations is given below:
Equation R: y = 5x + 10
Equation S: y = 5x + 5
Which of the following options is true about the solution to the given set of equations?
A: One solution
B: Two solutions
C: Infinite solutions
D: No solution
Answer:
There is no solution.
Step-by-step explanation: