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3 years ago

A school janitor has mopped

Mathematics

2 answers:

Tatiana [17]3 years ago

3 0

1/3 of the classroom is mopped in five minutes, so the whole classroom (or one classroom) is mopped in 15 minutes

Naya [18.7K]3 years ago

3 0

Answer:

0.06 of the floor mopped per minute

Step-by-step explanation:

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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five

garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is $x+5$

width of the rectangular corral is $3x$

We know that the square of the diagonal is sum of the squares of the length and width.

So,

$(3x)^{2} +x^{2} =(x+5)^{2}$

$9x^{2} +x^{2} =x^{2}+10x+25$

$9x^{2}-10x-25=0$

$x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}$

$x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}$

$x=\frac{10\pm\sqrt{100}}{18}$

Since, side can't be negative.

$x=\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Now, length of the diagonal is

$5+\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Hence, length of diagonal is 7.3 yards.

4 0

3 years ago

Step by step explanation

vodka [1.7K]

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

4 0

3 years ago

40% is what number is 82?

Licemer1 [7]

32.8 because.40•82=32.8

8 0

3 years ago

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Can anyone explain how to do this???

Alex73 [517]

Answer:

perimeter is length plus length width plus width

area is length times width

Step-by-step explanation:

(x+4)+(2x-23)=perimeter

(x+4)(2x-23)

hope this helps

8 0

3 years ago

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Solve for x and then find the measure of

bonufazy [111]

The answer should be 150

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3 years ago

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