Answer:
It will take 8 hours for the 5 workers to complete the same job.
Step-by-step explanation:
The amount of work done is the same for both crews.
Work = time * workers
Work = 10 * 4
Work = time * 5
Set the two equal
10 * 4 = time * 5
Divide each side of the equation by 5
10*4/5 = time *5/5
8 = time
<h3>
Answer: Choice C) 11 + 13 + 15 + 17 + ...</h3>
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Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
which matches with choice C. The three dots indicates the pattern goes on forever.
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Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
Answer:
6u2
Step-by-step explanation:
6u2 is the units inside of the rectangle
Answer:
v= 2.66 m/sec
Step-by-step explanation:
supposing we have to find their speed just as he grabs her.
Applying law of conservation of Energy
That is
p_i= p_f
Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.
final momentum p_f= (35+44)v
let the final velocity of combined body be v
therefore,
79v= 210.6
v= 2.66 m/sec.
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
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