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Oksi-84 [34.3K]

4 years ago

11

A number, one-fifth of that number, and one-sixth of that number are added. the result is 82. what is the original number?

1 answer:

rusak2 [61]4 years ago

5 0

X + .2x + .(1/6) x = 82
x = 60

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Otrada [13]

$\displaystyle \boxed{(a+b)=a^2+2ab+b^2} \\ \\ (x+3)^2+2(x+3)= \\ x^2+2 \cdot x \cdot 3 +3^2+2x+6 = \\ x^2+6x+9+2x+6= \\ x^2+8x+15= \\ \\ \Delta= b^2-4ac \\ \Delta=8^2-4 \cdot1 \cdot15 \\ \Delta=64-60=4 \\ \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} = \frac{-8\pm2}{2} = \\ \\X1=5 \\ X2=3$

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3 years ago

How to write a decimal number in two hundred ten thousand, fifty and nineteen hundredth

kipiarov [429]

The correct answer is 210,050.19

5 0

3 years ago

Read 2 more answers

Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map

Drupady [299]

Answer:

The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

$A = (-2,2)$

$B = (1,2)$

$C = (1,-2)$

$D = (-2,-2)$

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For AB

$A = (-2,2)$ --- $(x_1,y_1)$

$B = (1,2)$ --- $(x_2,y_2)$

$AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3$

For BC

$B = (1,2)$ --- $(x_1,y_1)$

$C = (1,-2)$ --- $(x_2,y_2)$

$BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4$

For CD

$C = (1,-2)$ --- $(x_1,y_1)$

$D = (-2,-2)$ --- $(x_2,y_2)$

$CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3$

For DA

$D = (-2,-2)$ --- $(x_1,y_1)$

$A = (-2,2)$ --- $(x_2,y_2)$

$DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4$

So, the perimeter (P) is:

$P = AB + BC + CD + DA$

$P = 3 +4 + 3 + 4$

$P = 14$

<em>The perimeter is 14 units</em>

5 0

3 years ago

Deion has 3/4 pound bag of dog treats. He will give his dog 1/8 of the treats after they play each day. How many days will the b

kirza4 [7]

3/4=6/8

1/8+1/8+1/8+1/8+1/8+1/8

=6(1/8)

=6/8

Answer: 6 days.

8 0

4 years ago

P=3w^2. <br> Calculate P when w=4.

algol13

P= 3(4)^2
P= 12^2
P = 144

4 0

3 years ago