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slava [35]
2 years ago
13

A tank contains 550 gallons of water. When the valve is opened, the tank drains at a rate of 12 gallons per minute. Which functi

on shows the relationship between the time t the valve is opened and the amount of water in the tank?
Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

Answer:

y= 550-12x

Step-by-step explanation:

Given data

Content of tank= 550 gallons

Rate of drain= 12gallon per minute

let the time it will take to drain all 550 gallons be x minutes

Hence the expression for amount of water in the tank after x minutes will be

y= 550-12x

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In the given figure, O is centre of the circle. Find the value of x and y? ​
Effectus [21]

Answer:

The value of x = 13cm and y = 12cm.

Step-by-step explanation:

P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

Distance between the point and centre of the circle = x cm

We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛x² = 12²+5²

⇛x² = 144+25

⇛x² = 169

⇛x² = 13²

<h3>⇛x = 13 cm</h3>

We know that

The lengths of tangents drawn from the exterior point to the circle are equal.

<h3>y = 12 cm</h3>

<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.

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4 0
2 years ago
Help me please thanks
SVEN [57.7K]

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

6 0
2 years ago
Read 2 more answers
Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?
igomit [66]
Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
   2x=72
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Substitute the value of x into the 1st equation and simplify
1)x+y=56
   36+y=56
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Answer: 20 and 36

8 0
3 years ago
Simplify the expression (2-5 root 6) times 3 root 2
lys-0071 [83]

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

6 0
3 years ago
What is 7 less than y<br> In math
saw5 [17]

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

5 0
1 year ago
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