6) According to the time and work concept, 18 hours would be taken for James to complete the work.
How to solve time and work problems?Knowing the formulas can immediately lead you to a solution upon reading the question. Therefore, knowing the formula for any topic in numerical ability simplifies the solution and associated calculations.
Here are a few of these essential time and work formulas for your reference.
Work Performed = Time Required Rate of Work
Work Rate = 1 / Time Taken
Duration = 1 / Rate of Work
If a piece of work is completed in x number of days, then the amount of work completed in one day is equal to 1/x. Total Work Completed = Number of Days Efficiency.
Time and Productivity are inversely proportional to one another X:
if y is the ratio of the number of men needed to complete a piece of work, then y:x is the ratio of the time required by those men to complete the work.
If x number of people can complete W1 work in D1 days while working T1 hours per day, and y number of people can complete W2 work in D2 days while working T2 hours per day, then the relationship between them is Time and Work Formula i..e;
[tex]\frac{M1.D1.T1}{W1} =\frac{M2.D2.T2}{W2}[/tex]
Calculation:Monica can do the work in 9 hours so she does a work of 1/9 in an hour.
The same work done by Monica and James takes 6 hours so they both can do a 1/6 th of work in an hour.
Developing the relation:
[tex]\frac{1}{9}+\frac{1}{x}=\frac{1}{6}[/tex]
here, the speed of Monica is 1/9 and the speed of James in completing the work is 1/x and the speed of them both is 1/6
So solving this equation we get ,
[tex]6x+54 = 9x[/tex]
[tex]3x = 54\\x=18\\[/tex]
So the speed of James in completing the work is 1/18th in an hour So he takes 18 hours to complete the whole work by himself alone.
According to the time and work concept, 18 hours would be taken for James to complete the work.
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A child is flying a kite. If the string is pulled tight to its full length of 40 feet and is held at an angle of 71 degrees above the ground, how high is the kite? Round your answer to the nearest whole foot.
Answer:
38feet high
Step-by-step explanation:
Given the following
Length of the string = 40feet (hypotenuse)
Angle of elevation = 71 degrees
Required
Height of the kite (opposite)
Using the SOH CAH TOA identity
Sin theta = opp/hyp
Sin 71 = H/40
H = 40sin 71
H = 40(0.9455)
H = 37.82
Hence the kite is 38feet high (to the nearest whole number)
x+7=15
help me fasttttttt
Answer:
x=8
Step-by-step explanation:
x+7=15
-7 -7
x=8
Mark me Brainliest?
Answer:
Its 8
Step-by-step explanation:
x+7=15
Subtract 7 from both sides.
x=8
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
the product of 2 consecutive integers is 42. find the integers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
Please help me asap i need help quickly
Step-by-step explanation:
Volume of cuboid is length* breadth" height
Volume of cuboid is length* breadth" height=10*8*6= 480cm³
volume of traingular prism= this I don't know
okay wait...imagine there is other half of the traingle such that it becomes cuboid...now find area of cuboid = 5*5*4= 100
now divide by 2 to get half volume ( one triangular prism)
which is 100/2= 50
Volume of traingular prism= 50cm³
Total volume of figure= 480+50= 530cm³
i need help im a bit slow
Answer:
pretty sure its D
Step-by-step explanation:
A is definetly at 1 in weight (ounces), and definetly at 0.25 at cost.
Answer:
The answer is D
Step-by-step explanation:
If 2 is 50 cents, then 1 is 25 cents
(sorry i just wanted points <33)
if y=12 when x=3, find y when x =15 ( Y varies directly as x)
i need 17 thanksssssssss
Work out the answers of the following:
1) −2 - 7 + 4=
2)−20 + 11 − 6=
3)−5 + 14 − 8=
4)−13 − 4 + 6=
5)−30 − 80 + 40=
HELPPP PLEEEAAAASSSSEEE!!!! :(
Answer:
1)-5
2)-15
3)1
4)-11
5)-70
if negative use () for example
(-2)-7+4
Answer:
1. -5
2. - 15
3. 1
4. - 11
5. -70
PLS HELP NO LINKS. Assume that RQ and RS tangent to circle T. solve for x.
Answer:
x = 6
Step-by-step explanation:
Here, we want to solve for the value of x
mathematically, tangents drawn from the same point to touch two points on a circle, are the same distance from the external point
thus;
QR = RS
Thus;
3x + 8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?
Answer:
Yes, SAS.
Step-by-step explanation:
3/5 = 0.6 and so does 4.8/8
help with this question thx
Answer:
3.5ft
Step-by-step explanation:
Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.
Answer:
solution:
relation between perpendicular and base is given by tan angle
so
[tex] \tan(ø) [/tex]=perpendicular/base=4/13
ø=tan-¹ (4/13)=17.10°
angle indicated =ø=17.10°
I NEED HELP ASAP PLEASE
Answer:
[tex]P = \frac{A}{1 + rt}[/tex]
Step-by-step explanation:
We can simply divide both sides of the equation by (1 + rt) and we get the answer.
Sally rides her bike to the store to get some Skittles. The store is 5 km away. If it takes her 10 minutes to get to the store what is her average speed?
Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?
Answer:
it's 8ft
Step-by-step explanation:
1=4 2=8just put 2and2 together
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By hou
many square meters does the area of the hot spring decrease? Use 3.14 for it.
Answer:
the area decreases by 1155.52 square meters
PLSSSSSS HELPPPP 20 POINTSSS PLSSS
Find the area of a regular hexagon with apothem 15. The answer should be 18 square root 3 but I don’t know how to get there.
Answer:
36 because you got to add
1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}
Answer:
I believe it’s A bc there are only 4 cars in the toy box
Step-by-step explanation:
Brainliest if correct?
thanks have a good day!
Answer: a........ I think im not sure sorry
Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.
A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
Answer:
x=24
Step-by-step explanation:
there are different ways to solve the problem
set up a proportion:
16/(2/3)=x/1
cross multiply
(2/3)x=16
(3/2)(2/3)x=(3/2)(16)
x=24 square feet per hour
a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)
this means he lays 4 square feet every 10 minutes
8 square feet in 20 minutes
12 square feet in 30 minutes
24 square feet in 60 minutes
b) if your friend wants to be as happy as possible, how many cheeseburgers should he eat? How do you know ? Answer question B
Answer:
Find out what x should be the apply by the power of 2 then you should be good
A coin is tossed. If heads appears, a spinner that can land on any number from 1 to 3 is spun. If tails appears, a second coin is tossed instead of spinning the spinner. What are the possible outcomes?
H1 H2
H1 H2 H3 TH TT
HH HT
H1 H2 H3
Answer:
H1 H2 H3 TH TT
Step-by-step explanation:
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0,-1)?
please help
What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?
a.3,879
b.2,674
c.-1,980
d.-1953
Answer:
D. a109=-1,953
PLEASE HELP ME ASAP!
Answer:
B
Step-by-step explanation:
because its collecting the data, asking the 6th graders how they get to school
what is 50 + 9 - 6 equals
Answer:
53
Step-by-step explanation:
Answer:
53 is the answer.
Step-by-step explanation:
50 + 9 - 6
= 59 - 6
= 53
Given that f(x) = 3x + 5, find f(x + 2)
Answer:
f(x)=3x+5
f(x+2)=3(x+2)+5
=3x+6+5
=3x+11
Please answer the question above.
Answer:
d = 12in
r = 6in
r^2 = 36
circumferenece = 37.7
Step-by-step explanation:
c = 2πr
c = 2π6 = 37.69911
An airplane has an airspeed of 500 kilometers per hour (k/hr) in a
northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).
1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.
2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.