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Makovka662 [10]
4 years ago
12

Jerry is mowing his lawn .it takes him 1/6 of an hour to mow 3/20 of his years .what portion of the yard does jerry now per hour

Mathematics
2 answers:
Ber [7]4 years ago
4 0

Given that Jerry mows 3/20 yards of lawn in 1/6 hour.

Now we have to found how much Jerry can mow per hour.

We know that "work" and "time" are in direct proportion so we can setup the ratio of work and time to easily find the required work.

\frac{Portion \; \; of  \; \; lawn  \; \; mowed}{time}=\frac{\frac{3}{20}}{\frac{1}{6}}

\frac{Portion \; \; of  \; \; lawn  \; \; mowed}{1}=\frac{\frac{3}{20}}{\frac{1}{6}}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{3}{20}*\frac{6}{1}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{18}{20}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{9}{10}

Hence final answer is \frac{9}{10} yards.

maksim [4K]4 years ago
3 0
He mows 9/10 of his yard per hour.

It takes him 1/6 of an hour to mow 3/20 of his yard.  6(1/6) = 1 hour; 6(3/20) = 18/20 = 9/10.
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sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
Find the distance between the points (3,0) and (-1,-5)
nadya68 [22]

Answer:

6.4

Step-by-step explanation:

distance formula \sqrt{(x2-x1)^2+(y2-y1)^2}

\sqrt{(-1-3)^2+(-5-0)^2}

\sqrt{(-4)^2+(-5)^2}

\sqrt{16+25}

\sqrt{41}≈6.403.......

ik it doesnt make any sinse but hope this helps

7 0
4 years ago
Is this statement true or false 5/12 = 2/6
AveGali [126]

Answer:

False

Step-by-step explanation:

6*2= 12

So to get common denominators, you would need to divide 5/12 by 2 OF multiply 2/6 by 2

For the sake of ease just multiply 2/6 by 2, this will equal 4/12 NOT 5/12

Hope this helps! :)

6 0
3 years ago
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Gala2k [10]

Answer:

y= - 5/2x - 2

Step-by-step explanation:

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Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2

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