officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.​

Answer:

sale price is $104

Step-by-step explanation:

Answer:

$104.00

Step-by-step explanation:

So we know that in the equation:

S = P - 0.20P

P is the original price and S is the sale price, which is also the original price reduced by 20%.

We are also given that the original price of a digital media player is $130.00.

We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:

S = 130 - (0.20)(130)

S = 130 - 26

S = 104

So now we found the sales price of the digital media player, which is $104.00.

I hope you find my answer helpful.

Answer:

yes

Step-by-step explanation:

5x-7+3x =8x-7

3x-7+5x=8x-7

Since both result are the same, hence the functions are equal

Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.

For the function

5x-7+3x

= 5x+ 3x - 7

= 8x - 7

For the function 3x - 7 + 5x

Collect the like terms

3x + 5x - 7

8x - 7

Since both results are the same, hence the functions are equal

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Answer:

2/3

Step-by-step explanation:

10/15=2/3

The 10 is 2/3 part of 15 by dividing common factor that is 5.

What is simplest form ?

In mathematics, the simplest form is the fraction that has the smallest equivalent value.

Here, the given fraction is :

10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :

10/15 = 2/3

Therefore, the 10 is 2/3 part of 15.

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Answer:

104.12 > 104.002

Step-by-step explanation:

Answer:

0.04 dollars per text

Step-by-step explanation:

5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer

answer is 0.04 in text

This question is unanswerable unless the answer is 1/4 rectangle.

The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.

In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum

Considering the information provided;

Given that the monthly expense is $34.99

and $0.11 for each text as well (sent or received)

Suppose y is the whole cost.

Set x as the quantity of text.

The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation

4034.99=5.01

in the model for the overall cost,

y=34.99+0.11x.

Count the number of messages you can send, you must divide.

5.01÷0.11

=45.54

The maximum number of messages is 45

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Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

Answer:

6xy

Step-by-step explanation:

GCF of the given monomials consists of 3 parts:

Combined all, the greatest common factor is 6xy

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

The correct sentence will be;

⇒ The weight of the things inside the box.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

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Answer:

4.243

step by step explanation:

Answer:

Acute, angle C = 13

Step-by-step explanation:

replace x with 9

multiply 12(9) = 108

subtract 108 -17 = 91

divide 91 by 7 = 13

[tex]m[/tex]∠[tex]C=13[/tex] so its acute

Answer:

Step-by-step explanation:

Average=total distance/totaltime

=60+110+180+220/1+2+3+4

=570/10

=57miles/hour

Answer: 79.60%, difference is 119.40

Step-by-step explanation:

Answer:

119.4

Step-by-step explanation:

199/100=1.99

1.99*60=119.4

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

Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

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

The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

-----------

Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

Answer: the answer i think is c

Answer:

Step-by-step explanation:

The formula for the area of a circle is A=πr²

r=6cm in this case

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Answer:207

Step-by-step explanation:

Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

Answer:8 garbage cans

Step-by-step explanation:

The budget is $536 and each garbage can is $67 so you need to divide $536 by $67 and the answer is 8.

Answer:

c k=1\2......................

Answer: I would say that any number

Step-by-step explanation:

I think so because any number to the 0 power is going to be 1.

For example: 6^0=1 21^0=1

Hope it helped!! ;)

Answer:

where is the image then i will comment the ansewr thanks

Step-by-step explanation:

Answer:

99

Hope this helps you guys!