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postnew [5]
3 years ago
15

Brandon mows his lawn once every 4 days. Thomas mows his lawn once every 3 days. Celena mows her lawn once every 6 days. If they

are all mowing the lawn today, in how many days will they be mowing their lawns together again?
Mathematics
2 answers:
lakkis [162]3 years ago
7 0

Answer: The Answer is 12

Step-by-step explanation: This is because each number's LCM (Least Common Multiple) is 12.  Ex. 4,8,12  3,6,9,12   6,12

Murljashka [212]3 years ago
3 0

Answer:

24 days

Step-by-step explanation:

Given that;

Brandon mows his lawn once every 4 days, Thomas mows his lawn once every 3 days. Celena mows her lawn once every 6 days. Then assuming today is day 1,

Brandon will mows his lawn on the following dates

1,5,9,13,17,21,25,29 (adding 4 days)

Thomas will mows his lawn on the following dates

1,4,7,10,13,16,19,22,25,28 (adding 3 days)

Celena will mows her lawn on the following dates

1,7,13,19,25,31 (adding 6 days)

Comparing all the days, all 3 will mow their lawns on the 25th which is 24 days after the first day.

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Two lines, C and D, are represented by the equations given below:
lakkis [162]

y=x+14 line 1

y=3x+2 line 2

These are both the equation of lines written in slope intercept form

y=mx+b where m is the slope and the point (0,b) is the y intercept.

The first line has a slope of m=1. The 2nd line has a slope of m=3

Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.

We already have y solved in terms of x from either equation so we can use substitution to solve the system.

Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.

x+14=3x+2

solve for x.

Subtract x from both sides...

14= 3x-x+2

14=2x+2

subtract 2 from both sides

14-2=2x

12=2x

divide both sides by 2

6=x

We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.

y=6+14

y=20

These two lines cross at the point (6,20) which is a point the two lines have in common.

Hope I helped (SharkieOwO)

3 0
2 years ago
A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac
Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

-15.4% is the same as 15.4/100

- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

                                 

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