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xenn [34]
3 years ago
6

A tank takes two hours longer to empty than it does to fill. One day a worker turned on the pump to fill an empty tank but forgo

t to close the drain. After 24 hours the tank was finally filled. How long does it take to fill the tank when the drain is closed
Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

TWO HOURS FOR IT TOO TAKE.


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Sales for a company were 6 million dollars more the second year than the first, and sales for the third year were tripled the sa
miss Akunina [59]

Sales for the first year were 2 millions of dollars

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )}}

<em>Let us tackle the problem!</em>

Let:

<em>Sales for the first year = s₁</em>

<em>Sales for the second year = s₂</em>

<em>Sales for the third year = s₃</em>

<u>Given:</u>

s₂ = 6 + s₁

s₃ = 3s₂

s₃ = 24

<u>Unknown:</u>

s₁ = ?

<u>Solution:</u>

s_3 = 3s_2

24 = 3s_2

s_2 = 24 \div 3

s_2 = 8

s_2 = 6 + s_1

8 = 6 + s_1

s_1 = 8 - 6

s_1 = 2

<h2>Conclusion:</h2>

<em>Sales for the first year = </em><em>2 millions of dollars</em>

<h3 /><h3>Learn more</h3>
  • Inverse of Function : brainly.com/question/9289171
  • Rate of Change : brainly.com/question/11919986
  • Graph of Function : brainly.com/question/7829758

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

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3 years ago
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The table below shows the fourth powers of different numbers: Number (x) 1 −1 3 −3 Fourth power of the number (y) 1 1 81 81 Part
Katarina [22]

Where is the table?????

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KAJE PIERS' basketball court is rectangular with a length of 8x feet and a width of (x + 3) feet.
spayn [35]

The perimeter and area of the basketball court is 18x + 6 and 8x² + 24x respectively.

<h3>perimeter of a rectangle</h3>

  • Length = 8x
  • Width = (x + 3)

Perimeter of basketball court = 2(length + width)

= 2(8x + x + 3)

= 2(9x + 3)

= 18x + 6

Perimeter of basketball court = 18x + 6

Area of basketball court = length × width

= 8x × (x + 3)

= 8x² + 24x

Area of basketball court = 8x² + 24x

Learn more about perimeter of rectangle:

brainly.com/question/24571594

#SPJ1

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Instructions: Factor 182 as a product of primes. Input the number's prime factors in ascending order.
larisa86 [58]

Answer:

  2, 7, 13

Step-by-step explanation:

182/2 = 91

91/7 = 13

The prime factors of 182 are 2, 7, and 13.

  182 = 2×7×13

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Y = –15x + 375.<br> Graph the linear equation.
faltersainse [42]

Answer:

the required graph is in the attachment.

Step-by-step explanation:

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3 years ago
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