It takes 10 workers 5 days to complete a road repair when working 2 hours a day.
So, this becomes : [tex]2*5*10=100[/tex] man hours required to finish the work.
Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d
So, total man hours = [tex]2*5*d=10d[/tex]
Now, [tex]10d=100[/tex] or [tex]d=10[/tex]
Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.
It will take 10 days for 2 people working 5 hours a day to finish the road repair.
Further Explanation:From the question;
10 workers can finish road repair in 5 days working 2 hours a day
We need to find;
The number of days required to complete the road repair by 2 workers working 5 hours a day.
Assuming the number of days required to complete the work is x
Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)
Number of working hours of 2 people is 5x hours (5 hours a day for x days)
Note that; the number of workers or people is inversely related to the number of working hours.
Therefore;
Product of number of people and working hours or work done is a constant
Thus;
10 × 10 = 2 × 5x
100 = 10 x
x = 10
Therefore;
2 workers working 5 hours a day will require 10 days to complete the road repair.
Keywords: rate of work, number of hours, number of days required to complete the job.
Learn more about;Rate of work: https://brainly.com/question/1144815Example of a similar question: https://brainly.com/question/12355798Level: Middle school
Subject: Mathematics
Topic: Rate of work
may somebody help me please
Answer:
The answer is C because when you substituted the coordinate pairs into the equation, both sides are equal which tells you that they're a solution to the equation.
Explanation:
All you do is substitute. (x,y)
A:
Substitute
1 = 4(2) - 7
Multiply the number inside the parentheses by the outside number.
1 = 8 - 7
Subtract to get your solution.
1 = 1
Both sides equal to each other so this means that this is a solution to the equation.
B:
Substitute
9 = 4(4) - 7
Multiply the number inside the parentheses by the outside number.
9 = 16 - 7
Subtract to get your solution.
9 = 9
Both sides equal to each other so this means that this is also a solution to the equation.
D:
Both ordered pair is a solution to the equation.
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 1800 km away. The speed of one of the planes was 100 km/hour slower than the speed of the other plane, and so it arrived at its destination 36 minutes after the faster plane. Find the speeds of both planes.
Answer:
Faster plane --> 600km/hr
Slower Plane --> 500km/hr
Step-by-step explanation:
Use inequality: 1800/r = 1800/(r-100) + 3/5 and solve to get r = 600, so the plane which is r -100 is 500 km/hr.
Which side effect of anabolic steroid use is the least possible?
A. Brain and liver cancer
B. More acne
C. Smaller muscles
D. Increased anxiety, irritability, or sudden rage.
it would be A i hope i helped
The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.
What is an anabolic steroid?Anabolic steroids are synthetic variations of the male hormone. The proper term for these compounds is anabolic-androgenic steroids.
"Anabolic" refers to muscle building, and "androgenic" refers to increased male characteristics.
Irritability and aggression increase when anabolic steroids are used in high doses.
The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.
Learn more about anabolic steroids ;
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Talia uses 10 strawberries and 4 oranges to make 8 servings of fruit salad. how many oranges and strawberries does talia need to make 12 servings?
Answer:
25 strawberries and 10 oranges
Step-by-step explanation:
1) 12 ÷ 8 = 2.5
2)10 x 2.5= 25
3)4 x 2.5=10
whats the volume of the cylinder
Answer:
896 cm³
Step-by-step explanation:
the linear ratio = 1 : 2
The volume ratio = 1³ : 2³ = 1 : 8
The volume of the car is 8 times the volume of the two wheeler
volume = 112 × 8 = 896 cm³
Which equation calculates the number of 13-foot pieces that can be cut from a piece of wood that is 7 feet long?
Step-by-step explanation:
13x=7
It would be fractional
The equation to find the number of 13-foot pieces from a 7-foot piece of wood is explained step-by-step.
The equation to calculate the number of 13-foot pieces that can be cut from a 7-foot piece of wood is:
Number of pieces = Total length of wood / Length of each piece
Plugging in the values:
Number of pieces = 7 ft / 13 ft = 0.538 or approximately 0.54 pieces
A ship travels 54 km on a bearing of 13 degrees, and then travels on a bearing of 103 degrees for 156 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.
A) 165 km
B) 12 km
C) 53 km
D) 210 km
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Passing through (negative 2,4) and (3,4)
Answer:
y = 4
or
y - 4 = 0(x - 3)
Step-by-step explanation:
The points (-2,4) and (3,4) have the same y-value. Because of this, the slope of the line will be 0 and the line will be horizontal. This means the line will have the equation y = b where b is the y-coordinate. The equation of the line is
y = 4.
In point slope form, the equation will have m = 0.
y - 4 = 0(x -3)
please help me thank you
the answer is twenty-four
solve for x; 6(4x+5)=3(x+8)+3
Answer:
x = -1/7
Step-by-step explanation:
Work is in attached sheet :)
Answer:
-1/7 or -0.14
Step-by-step explanation:
Determine if the numbers are parallel, perpendicular or netiher.
y=-7
y=6
Will mark brainest!!
Answer:
Parallel :)
Step-by-step explanation:
thats the tea sis.
A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5) what is the area of the remaining wall after the mural has been Painted
Answer: [tex]46x^2+73x+15[/tex]
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:
[tex]A=lw[/tex]
l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are [tex](6x+7)[/tex] by [tex](8x+5)[/tex], its area is:
[tex]A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35[/tex]
As they are planning that the dimensions of the mural be [tex](x+4)[/tex] by [tex](2x+5)[/tex], its area is:
[tex]A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20[/tex]
Then the area of the remaining wall after the mural has been painted is:
[tex]A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15[/tex]
Describe in words how to obtain the graph of f(t) = sin(5t + 20) − 7 from the graph of y = sin(5t).
Answer: f(t) is shifted 20 units to the left and 7 units down
Step-by-step explanation:
The general form of a sin function is: y = A sin (Bx - C) + D
A is the vertical stretch (amplitude)B is the horizontal compressionC is the horizontal shift (left or right)D is the vertical shift (up or down)y = sin (5t)
f(t) = sin (5t + 20) -7
the C-value is -20 --> shifts 20 units to the leftthe D value is -7 --> shifts 7 units downwrite the equation 2/3 of c subtracted from 2
Hello.
You would write the equation like this: [tex]\frac{2}{3} c - 2[/tex]
Let me know if that was what you were looking for.
A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water in the pool over 5 days.
Mildred’s Solution
5 (-2 1/4)
5(-2- 1/4)
-10-5/4
-11 1/4
Answer: 5(-2 1/4)
Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.
What is the domain and range for the following function and its inverse?
f(x) = x^2+3
Answer: The first answer choice
Step-by-step explanation:
Two fifth of the students in a class are male find the number of male students if there are 50 students in the class
Twenty students are male.
Hope this helps.
12y^2–5y=2
thank you!
answer Y=1 over 4 and Y= 2 over 3 that is your answer and these are the steps I'm going to put a image hope this is useful to u and have a beuty day
Answer:
f(y) = 12y^2 -5y -2 = 0
a = 12 b =-5 c=-2
Using quadratic formula:
y = [-b +-sq root (b^2 -4ac)] / 2 a
y = [--5 +-sq root (25 -4*12*-2)] / 24
y = [5 +- sq root (25 + 96) ] / 24
y = [5 +- sq root (121) ] / 24
y = [5 + 11] / 24
y1 = (2/3) = .66666666666
y2 = 5 -11 / 24
y2 = -(1/4) = -.25
Step-by-step explanation:
Identify the figure formed by the net
Answer:
cylinder
Step-by-step explanation:
Describe the transformation that maps the pre image A to the image A'
A) translated 9 units up and then reflected across the y-axis
B) translated 6 units to the right then translated 9 units up
C) translated 9 units to the right then translated 6 units up
D) translated 6 units to the right and then reflected across the x-axis
Answer:
B) translated 6 units to the right then translated 9 units up
Step-by-step explanation:
Just use the graph to follow each translation until you get thee right answer, or you can count how many spaces are from the pre-image to the image. Just make sure to always use the same point.
The transformation from figure A to figure A' are:
Translating 6 units to the right.
Translated 9 units up.
Option B is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
We will take two coordinates from the figure.
Figure A has the coordinates:
(-5, -2) and (-4, -2)
And,
Figure A' has the coordinates:
(1, 7) and (2, 7)
Now,
Translating 6 units to the right.
(-5, -2) = (-5 + 6, -2) = (1, -2)
And,
(-4, -2) = (-4 + 6, -2) = (2, -2) _____(1)
Again,
Translated 9 units up.
(1, -2) = (1, -2 + 9) = (1, 7)
And,
(2, -2) = (2, -2 + 9) = (2, 7) ______(2)
From (1) and (2) we see that,
Figure A to Figure A'.
Translating 6 units to the right.
Translated 9 units up.
Thus,
The transformation from figure A to figure A' are:
Translating 6 units to the right.
Translated 9 units up.
Learn more about translation here:
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Point on the number line shows the graph of -3 1/2?
Answer options: E, B, C, F
A princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8 in. The slant height of the outside edge, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
(a) Sketch the princess hat. Label the known lengths as described and label the unknown length as x.
(b) what is the slant height of the outside edge?
plz help!
Answer:
Part a) The drawn in the attached figure
Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]
Step-by-step explanation:
Part a) The drawn in the attached figure
Part b) What is the slant height of the outside edge?
we have that
The diameter of the base of the cone is 12 in
so
[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter
[tex]h=8\ in[/tex]
Applying the Pythagoras Theorem find the slant height x
[tex]x^{2}=r^{2}+h^{2}[/tex]
substitute the values
[tex]x^{2}=6^{2}+8^{2}[/tex]
[tex]x^{2}=100[/tex]
[tex]x=10\ in[/tex]
Please help!! I need ASAP 10 points <3
HELP ASAP! GIVING BRAINLIEST!!
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answer:
Hello thank you for your question! The answer to your problem is 2.993
Enjoy Brainly ,
Homepage10
Step-by-step explanation:
Answer: 8 cm
Step-by-step explanation: its 8
Which is the simplified form of
Answer:
1 1
------ + -------
r^7 s^12
Step-by-step explanation:
r^(-7) + s^(-12) can be re-written as
1 1
------ + ------- by putting to use the rule:
r^7 s^12
1
x^(-a) = ----------
x^a
For this case, we must simplify the following expression:
[tex]r ^ {- 7} + s ^ {- 12}[/tex]
By definition of power properties we have to:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
So, rewriting the expression we have:
[tex]\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]
Answer:
[tex]\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]
Option D
I need help on this...
Answer:
(b) 12; (a) 75%
Step-by-step explanation:
For b, convert the percentage to a SIMPLIFIED FRACTION [3⁄20 = 15%]. After you get your fraction, multiply it by 80 to get 12.
For a, it gives you your number already, but kind of turned around. This time, they want to to figure out what percentage of 48 will give you 36. Simply divide 36 by 48 to get your answer.
I am joyous to assist you anytime.
Rebecca has a credit line of $6,500. She had a previous balance of $398.64 and made a payment of $250. The total of her purchases is $1,257.99. What is Rebecca's available credit?
Answer:
$5093.37
Step-by-step explanation:
To get Rebecca's available credit we need to take all of her payments and purchases and previous balance.
Previous balance = $398.64
Purchases = $1,257.99
Payment = $250
Credit Line = $6,500
Now first we add together her purchases and previous balance.
398.64 + 1,257.99
This will give us:
$1,656.63 Total deductions.
Now we subtract that to her credit line.
$6500.00 - $1656.63
$4843.37
Now we take her payment and add it to her credit line.
$4843.37 + $250
$5093.37
So Rebecca's available credit is $5093.37.
if you dig a 12 feet hole and you cover up that hole how deep is that hole
Answer:
If your definition of "Cover" is to fill it in, than there is no longer a hole.
If your definition of "Cover" is to simply "cover" the hole and not filling it, there is still a 12 feet hole.
Unless your perspective is that there is no hole simply because it was Covered.
Step-by-step explanation: Try again
the hole would be over 9000 deeper
A square has a side length of 36 feet the square is dilated by a scale factor of 2/3 do you create a new square what is the side length of them is square
you would multiply 36*2/3 and get 24 which would be the new side length
Answer:
24 feet
Step-by-step explanation:
got it right on ttm :)
The number c is a _______ of the polynomial function yequals=P(x) if and only if xminus−c is a _______ of the polynomial P(x).
Answer:
"The number c is a zero the polynomial function y=P(x) if and only if x-c is a factor of the polynomial P(x)."
Step-by-step explanation:
We have been given some statements with blank spaces:
"The number c is a _______ of the polynomial function y=P(x) if and only if x-c is a _______ of the polynomial P(x)."
Now we need to fill those blank spaces by suitable words.
We know that if x=5 is some root (zero or solution) of the polynomial function then (x-5) works as factor.
So using that logic, we can fill the blanks spaces as:
"The number c is a zero the polynomial function y=P(x) if and only if x-c is a factor of the polynomial P(x)."
Answer:
I am 86% sure that it is The number c is zero the polynomial function y=P(x) if and only if x-c is a factor of the polynomial P(x)
Hope this helped!