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Anna35 [415]
4 years ago
7

Two pools are being filled with water to start the first for contain 1600 L of water and a second for contains 1313 L of water w

aters been added to the first play at a rate of 24.5 L per minute waters been added to the second pool at a rate of 34.75 L per minute after how many minutes will the two pools have the same amount of water?
Mathematics
1 answer:
Lena [83]4 years ago
6 0
After 28 minutes they will have the same amount of water, which is 2286 liters
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Which number produces an irrational number when multipled by 1/4
BabaBlast [244]

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have \pi = 3.141592653 ...

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

6 0
3 years ago
A store offers 20% off all items. Let x represent the original purchase price.
NikAS [45]

Answer:

what are we soposed to do?

Step-by-step explanation:

4 0
3 years ago
At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance.
Strike441 [17]
9.89%

You can get this number by multiplying the two together.
5 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
State the domain of d.
tester [92]

d(x) = { (x,y): y = sqrt(x) and y >=0 }

since sqrt function requires x to be >=0 so

<u>x >= 0</u>

4 0
3 years ago
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