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sladkih [1.3K]
3 years ago
7

Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the

lawn together?
seven twelfths

twelve sevenths

7

12
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x

</span><span>Robin can mow a lawn in 3 hours: x/3 * t
</span><span>Brady can mow the same lawn in 4 hours: x/4 * t

</span><span>If they work together, the total work will be the sum of their speeds:
</span>x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t

x = 7x/12 * t

Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7
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Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu
pychu [463]

Answer:

Janice and Karen could do in 1 day:

  • <u>20% of the job</u>.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

  • 3 persons ⇒ 3 1/3 days or 10/3 days
  • 1 person ⇒ x

Then:

  • x=\frac{1 person*\frac{10}{3}days }{3 persons} (we cancel the unit "persons")
  • x=\frac{\frac{10}{3}days }{3}
  • x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

  • Time to complete a job between 2 persons = \frac{10}{2}days
  • Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

  • 5 days ⇒ 100% of a job
  • 1 day ⇒ x

Then:

  • x=\frac{1*100}{5} (you can use the % if you want, the result is the same)
  • x=\frac{100}{5}
  • x=20

As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.

3 0
3 years ago
Solve for x 1.x=1 and 2over 3​
kogti [31]

Answer:

<h3>x = 1 and 2/3 or x = 1 2/3</h3><h3 />

Step-by-step explanation:

Simplify both sides of equation

1 * x = 1 2/3

1 * x is 1x which is the same as x because there is one x

then for the improper fraction which is 1 2/3

to simplify improper fractions we times the whole number by the denominator

so 1 * 3 then add the numerator 2 and the denominator stays the same so we get x = 5/3

now we have x = 5/3 this is not correct because the numerator is bigger than the denominator so we just subtract the denominator from the numerator and how many times 3 goes into 5 (in this case 1) becomes the new whole number.

therefore we get x = 1 2/3

6 0
3 years ago
Is the following an identity or have no solution. 2(a-4)=4a-(2a+4)
mamaluj [8]
You multiply everything in the parenthesis by the number outside.
In this case its 2 and -1. the first part is 2a-8 the second part is 4a -2a+16a
so it looks like this 2a-8=4a-2a+16a.
combine like terms and get 2a-8=18a.
Subtract the other 2a from the other side and you have 8=16a
divide each side by 16 and you have 8/16 which is one half. 
6 0
3 years ago
Read 2 more answers
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable
antiseptic1488 [7]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP!
Bumek [7]

Answer:Yes.

Step-by-step explanation: Substitute either of the those values and you should get the other.

For instance, substituting x = 1 got you y = 5. If you had substituted x = 1 and got a different y-value, then the coordinates would have been incorrect.

5 0
3 years ago
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