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Gennadij [26K]
3 years ago
11

Jack usually mows his lawn in 6 hours. marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the

lawn together?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

2.4 hours or 2 hours and 24 minutes

Step-by-step explanation:

Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

R = \frac{1}{6}+ \frac{1}{4}\\R=\frac{10}{24}

The time required for them to mow the entire lawn is:

t = \frac{1}{R}\\t = \frac{1*24}{10}\\ t=2.4\ hours

It would take them both 2.4 hours to mow the lawn together.

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What is 7 1/12 - 2 3/4 in simplest form
stich3 [128]

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


6 0
3 years ago
Evaluate b - 2 a - c for a = -3, b = 9, and c = -6
saw5 [17]
9-2(-3)+6= 9+6+6  Your answer should be 21 if I read your question correctly



3 0
3 years ago
Read 2 more answers
(x+5)(x+3) Polynomial in standard form<br>​
Xelga [282]

Answer:

Roots of the equation (x+3)(x+5)=0:

−3, multiplicity 1.

−5, multiplicity 1.

Step-by-step explanation:

8 0
3 years ago
7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the resta
laiz [17]

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

4 0
3 years ago
Read 2 more answers
3. A map pencil drawer contains the following colors: 5 Purple, 3 Yellow,
natta225 [31]
Add up all the numbers together
it’ll give you 17
since they’re asking abt the probability of a purple being chosen twice, multiply 5 by 2 to give you 10
so 10/17
3 0
3 years ago
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