Answer:
25people =90days
? =15days
cross multiply
25×15÷90
=375÷90
=4.16666666
approximately =4.2
150 people needed to complete the work in 15 days.
Given that 25 people take 90 days to do a job.
Relation between number of people and number of days needed to complete a work when work quantity is fixed is inversely proportional.
That is, if number of people is less then the work needs more time and vice versa.
To complete a job in 90 days the number of people required is = 25
To complete that same job in 1 days the number of people needed is = 25 * 90 = 2250
To complete the same job in 15 days the number of people needed is = 2250/15 = 150.
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Rochelle had an important swim meet coming up, so she made a schedule for herself for extra practice. She practiced for 609 minutes over a 3-week time span to get herself ready. She spent the same amount of time practicing each week. What is the constant of proportionality (k) between the number of minutes Rochelle practiced (m) and the number of weeks she spent practicing (w)?
Over the course of three weeks, she practiced for 609 minutes to become ready. The constant of proportionality is k=203.
Given that,
Rochelle planned out additional practice because she was getting ready for a big swim meet.
Over the course of three weeks, she practiced for 609 minutes to become ready. Every week she practiced for the same amount of time.
We have to find the constant of proportionality (k) between Rochelle's weekly practice time (w) and the number of minutes she practiced each week (m).
3 week =609 minutes
3w=609m
1w=609m/3
1w=203m
For 1 week she practiced 203 minutes.
Now,
Constant of proportionality is
m=kw
203=k(1)
k=203
Therefore, the constant of proportionality is k=203.
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8. REINFORCE Sara earns $72 dollars for every 6 hours of work. How much would she make in 1 hour?
Answer:
$12 per hour
Step-by-step explanation:
You would divide both 72 and 6, by 6. That should get you 12 dollars for 1 hour.
2x – 3(X + 8) = -21
Solve for x step by step
Please answer quickly
Answer:
x = -3
Step-by-step explanation:
2x – 3(x + 8) = -21
Distribute
2x - 3x - 24 = -21
Combine like terms
-x - 24 = -21
Add 24 to both sides
-x = 3
Multiply both sides by -1
x = -3
Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by two secants. You may use words and/or and equation.
(b) Suppose CG = 3 in, CH = 2 in, and GE = 5 in, is it possible to find the length of DH? If so, show how to find the length. If not, explain why not.
Help would be appreciated!
Based on the intersecting secants theorem:
a. CG*CE = CH*CD
b. length of DH = 10 in.
What is the Intersecting Secants Theorem?When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.
a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:
CG*CE = CH*CD
b. Given the following lengths:
CG = 3 in, CH = 2 in, and GE = 5 in
CE = CG + GE = 3 + 5 = 8 in.
CD = CH + DH = 2 + DH
Substitute into CG*CE = CH*CD:
3*8 = 2*(2 + DH)
24 = 4 + 2DH
24 - 4 = 2DH
20 = 2DH
20/2 = DH
DH = 10 in.
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The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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Toby is buying apples. Red delicious apples, x, cost $2 per pound. Braeburn apples, y, cost $3 per pound. He wants to buy at least 10 pounds of apples, but spend no more than $24. Which graph represents this situation?
Answer:
I graphed all of the equations on the graph below.
Step-by-step explanation:
At the point (6,4), the equation \(x+y\ge10\) uses 6 + 4 ≥ 10. Also, the equation \(2x+3y\le24\) uses 2(6) + 3(4) ≤ 24.
If this answer is correct, please make me Brainliest!
Answer:
its A !!
Step-by-step explanation:
The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions. It costs the company $60 to make each bicycle. What is the profit function for the company?
Answer:
I. B. P = – + 40x
II. 1.3
hope this helps! :o)
Step-by-step explanation:
Answer:
1.3 mil
Step-by-step explanation:
*PLEASE HELP* *IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip? (include units)
Find slope:
Then find the average speed of the plane for the trip
Answer:
300 miles/hour
Step-by-step explanation:
The average speed = 1500 / 5
Take 2points
(8,0)(13,1500)Slope:-
\(\\ \rm\hookrightarrow m=\dfrac{1500-0}{13-8}\)
\(\\ \rm\hookrightarrow m=\dfrac{1500}{5}\)
\(\\ \rm\hookrightarrow m=300\)
Avg speed=Rate of change=300mphMrs. Bell's class is working together to earn enough money for a field trip. The total cost for the class to go to the observatory is $910. The students want to have the money for their field trip in 5 months - How much do they need to earn each month in order to accomplish their goal? Explain.
The students need to earn $182 per month in order to accomplish their goals.
What is division?Division is the process of dividing a number by a given number.
Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.
To collect $910 in 5 months, students must earn $910/5 per month.
910/5
= 182
Hence, the students need to earn $182 per month in order to accomplish their goals.
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11.) In the equation 6x = 84, what is the next step in the equation solving sequence?
Isolate the variable through inverse operations.
Solve for the variable.
Identify and move the coefficient or variable.
Combine like terms.
Answer:
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-6*x-(84)=0
Step by step solution :
STEP 1: Pulling out like terms
1.1 Pull out like factors :
-6x - 84 = -6 • (x + 14)
Equation at the end of step 1:
STEP 2: Equations which are never true
2.1 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x+14 = 0
Subtract 14 from both sides of the equation :
x = -14
One solution was found :
x = -14
Answer: i think u should divide 84 by 6 to keep x alone the answer is x=14
but the answer depends on the sign of the variable .
Step-by-step explanation:
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?
It will take 6 hours to finish the same project.
How to find the time taking to finish the project?From the given information, we get
\((\frac{5}{6} * \frac{2}{3} ) * 4\) = 6
The answer is 6 hours.
What is problem-solving?Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
I need this answer please and thanks
k>6 or this is the interval notation [6,*infiniti sign*)
Step-by-step explanation:
this > needs to have a line under i just couldnt find it. hopefully this helps you though
i solved this for K
what is the Difference between elimination method and indirect method
Answer:
Indirect method actually follows the same set of procedure as the direct method except that it begins with net income unlike the elimination method reduced a given system that indicates a system has no unique solution.
Employe work 8 hours on 2 days 6 hours on 1 day and 4 hours on 2 days what’s the average number
what is the slope? pls help
Answer:
0
Step-by-step explanation:
Since the line is horizontal and it isn't moving up or down and is in a still motion, the slope would be 0.
May I please have brainliest? Thank you!
Parker wanted to buy a brand new game controller. He has $23.50. The controller will cost $19.85. How much money will Parker have left over after he buys the game controller?
Answer: $3.65
Step-by-step explanation:
By subtracting the money he has by the controller cost, you'll get the remaining balance he has left.
23.50 - 19.85 = 3.65
Answer:
$3.65
Step-by-step explanation:
$23.50 - $19.85 = $3.65
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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What graph represents the following piecewise defined function?
g(x)={x^2, x<0, 1/2x, 0 4
Answer:
option 2
Step-by-step explanation:
The graph represents the following piecewise defined function is attached below.
What is a function?A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
We have a function,
g(x) = { x², x<0
1/2 x , 0<x<4
A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
The below-attached piecewise function is available.
Given the following piecewise function, the graph is attached below.
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Simplify (49t ^ - 5)/(7 ^ - 3 * 10 * e ^ - 9) * (t * 0)
Pls fast
Answer:
\( \frac{(49 {t}^{ - 5} )}{( {7}^{ - 3} \times 10 {e}^{ - 9} ) \times (t \times 0)} \\ = \frac{( { {7}^{2} t}^{ - 5} ) \times 7 {}^{3} }{(10 {e}^{ - 9} )} \\ = \frac{ {7}^{5} }{( 10{t}^{5} {e}^{ - 9} ) } \)
Whoever answers correctly gets brainlist.
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
Task
You put two targets in the field. The coordinates for target 1 (6 Points).
The coordinates for target 2 (4 points). See the figure below.
Messi
Ronaldo
2
1
2
: 1 times
: 3 time
larg42
farget 1
4
5
You asked the players to shoot the ball on the targets 4 times. You added that if
they hit one of the targets, they get the target points.
Test 1:
Messi shot the ball. His ball followed the path of the equation where x is the target
points:
3(3x - 4) = 24
6.8 (2.3x + 5.7) = 132.6
The first equation 3(3x - 4) = 24 can be solved for x as follows:
3(3x - 4) = 24
9x - 12 = 24
9x = 36
x = 4
So, if Messi hit the target, he would score 4 points.
The second equation 6.8 (2.3x + 5.7) = 132.6 can be solved for x as follows:
6.8 (2.3x + 5.7) = 132.6
2.3x + 5.7 = 132.6 / 6.8
2.3x + 5.7 = 19.55
2.3x = 13.85
x = 6
So, if Ronaldo hit the target, he would score 6 points.
5 x 50 =
Multiply by multiples of 10
Answer:
250
Step-by-step explanation:
i aint never seen two pretty best friends its always one of em gotta be ugly
Answer:
250
Step-by-step explanation:
hope it helped you !
Which of the following is the inverse relation of the set?
{(3, 1), (4, 2), (5, 3), (6, 4)} ?
A)
{(3, 1), (4, 2), (5, 3), (6, 4)}
B)
{(2, 4), (3, 3), (5, 4), (6, 1)}
C)
{(1, 3), (2, 4), (3, 5), (4, 6)}
D)
{(2, 1), (4, 3), (5, 3), (6, 4)}
Answer:
c number because even or odd numbers are equal i hope help you
please mark me brainlist
Answer:
C is the Correct answer.
Step-by-step explanation:
Solve.
2x + 4 3
B) x < 3
B) x 1/3
D) x < 1/3
Answer:
c
Step-by-step explanation:
Please help me it is due today!
Answer:
A. 13/24
Step-by-step explanation:
multiply 7 to 3
multiply 8 to 1
multiply 8 to 3
which equal to 21-8/24
and then just subtract 21 and 8 which equals 13.
the final answer would be 13/24
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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