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ollegr [7]
3 years ago
12

Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darr

en every 12 days. If they all did their laundry today, in how many days will the three of them all do their laundry again on the same day
Mathematics
2 answers:
Art [367]3 years ago
5 0
Lowest common multiple of all three numbers = 180 so 180 days
babymother [125]3 years ago
5 0
It will be 180 days until they all do laundry on the same day again. I found this by finding the least common multiple of each number.

12 x 15 = 180
10 x 18 = 180
9 x 20 = 180

Hope this helps!
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Find two positive numbers whose product is 192 and their sum is a minimum.
kaheart [24]

Answer:

Since we want a positive number, x = 24.  y = 192/x = 8

Step-by-step explanation:

Let x and y be the two positive numbers.

-  Their product is 192: x*y = 192

-  the sum of the first plus 3 times the second is a minimum:  x + 3y

From the first equation, y = 192/x.  Substitute that into the second equation:

x + 3y = x + 3(192/x) = x + 576/x

Now take the first derivative, set it to zero, and solve for x:

d(x + 576/x)/dx = 1 - 576/x2

0 = 1 - 576/x2

0 = x2 - 576                         [Multiplied both sides by x2]

576 = x2

√576 = √x2

±24 = x

Since we want a positive number, x = 24.  y = 192/x = 8

As a check, the factors of 192 are 192*1, 96*2, 48*4, 24*8, 16*12

192 + 3*1 = 195

96 + 3*2 = 102

48 + 3*4 = 60

24 + 3*8 = 48

16 + 3*12 = 52

24 + 3*8 is indeed the minimum

4 0
3 years ago
PLEASE HURRY I NEED HELP :( The area of a regular hexagon inscribed in a circle with radius 2 is
NISA [10]

Answer:

Step-by-step explanation:

4 I think not sure

8 0
3 years ago
The two angles of an obtuse triangle are 230 and 470. Find the third obtuse angle
Julli [10]

Answer:

the third obtuse angle is 110°.

Step-by-step explanation:

From the question, the 0s at the back of the given angles are meant to be degrees (°), since the sum of angles in a triangle cannot exceed 180°.

Hence, The question would be:

The two angles of an obtuse triangle are 23° and 47°. Find the third obtuse angle .

Step-by-step explanation:

In a triangle, there are three (3) angles which sum up to 180°.

Two of the angles are given which are 23° and 47°. Now, to determine the third angle which is an obtuse angle.

(NOTE: An obtuse angle is a type of angle that is greater than 90° but less than 180°).

Let the third obtuse angle be x

Then , we can write that

23° + 47° + x = 180° (Sum of angles in a triangle)

Then,

70° + x = 180°

x = 180° - 70°

x = 110°

Hence, the third obtuse angle is 110°.

4 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
In-s [12.5K]

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

\longrightarrow 15x + 18y = 270

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

\longrightarrow 18y = -15x +270\\

\longrightarrow y =\dfrac{-15x+270}{18}\\

\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\

\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4}

Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,

\longrightarrow m =\dfrac{-5}{6}

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)

Hence ,

\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}

And we are done !

6 0
3 years ago
Read 2 more answers
You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
rjkz [21]

Answer:

Hourly

Step-by-step explanation:

if you work for that long and for that many hours you would get alot of money in about a month or two.

4 0
4 years ago
Read 2 more answers
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