depth of water in a swimming pool decreases by 1/8 inch per day do to evaporation no water is added to the pool for a two week. What is the total change in depth of the water during this time period?

Step-by-step explanation:

Here you go, I tried my best

cheers

The original fraction is [tex]\frac{4}{8}[/tex]

Let the numerator = a

Let the denominator = b

Denominator is 4 larger than the numerator: b = a + 4

2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2

The algebraic equation from the given statement is formed as follows;

[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]

The original fraction is calculated as follows;

[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]

Thus, the original fraction is [tex]\frac{4}{8}[/tex]

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did u get the awnsers?

Answer:

[tex]y=\frac{2x-6}{3}[/tex]

Step-by-step explanation:

3y=2x-6

[tex]y=\frac{2x-6}{3}[/tex]

First, you have to move the x, along with the coefficient(2).

To move the 2x, you have to subtract it from both sides.

So you have -3y= 6-2x

Now you have to divide by -3.

DON’T FORGET THE NEGATIVE.

So you have y = -2 +2/3

In slope intercept form

If this helped please mark branliest

Answer:

a. sss

Step-by-step explanation:

Answer:

All it is asking you to do is chose which letters at the bottom prove that ADE=BCE. I would say none of them, but I don't really know. I know my explanation is a little unclear but I hope it will help you in some way.

Step-by-step explanation:

Answer:3/4

Step-by-step explanation:

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

Answer:

3

Step-by-step explanation:

this is because 3 would be the answer

Answer: f(0) = 0

Step-by-step explanation: anything multiplied by 0 is 0.

The value of   [tex]f'(0)=\frac{-2}{5}[/tex]

What is Derivative of a function?

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument

It is denoted by f ' ( x ) = dy / dx

Given data ,

Let the function be f ( x ) =   [tex]ln(x + 4 + e^{-3x} )[/tex]

To differentiate f ( x ) ,

Let  [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]

So ,

[tex]e^{y} =a[/tex]

Using this function , we can write

[tex]e^{y} = x + 4 + e^{-3x}[/tex]

On differentiating , we get

[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]

Dividing by [tex]e^{y}[/tex] on both sides , we get

[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]

We know , [tex]e^{y} =a[/tex]

And [tex]e^{y}=x+4+e^{-3x}[/tex]

So ,   [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]

[tex]f'(0)=\frac{-2}{5}[/tex]

Hence , the value of   [tex]f'(0)=\frac{-2}{5}[/tex]

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Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

Answer:

i think it is 300%

Step-by-step explanation:

Answer:

(-2,4)

Step-by-step explanation:

Because -2 is the x minimum and 4 is the x maximum :)

Answer:

1.48x10^2  ten to the second

Step-by-step explanation:

Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Answer:

the distance to the beach is 27.5 miles (multiple choice is under rated)

Answer: 9:7

Subtract 32 by 14, because there are 14 red marbles.

32 - 14 = 18.

Now, get the numbers 14 and 18. Reduce them to the lowest.

18 ÷ 2 = 9

14 ÷ 2 = 7

Make 9 & 7 to a ration.

Ration- 9:7

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

Explanation

There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.

The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).

The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

Answer:

Sarah downloaded 65 songs.

Answer:

5 dollars

Step-by-step explanation:

Answer:

30x^6

Step-by-step explanation:

5×2×3=30

x+x+x+x+x+x=6x

Indices gets added when they are multiplied

Answer:

[tex]540x^{3}[/tex]

Step-by-step explanation:

First, we need to simplify all over the cubes and squares.

2x^2 = 4x

3x^3 = 27x

5x=5x

Then , we need to multiply them together.

27x*4x= 108x

108x*5x = 540x

Now, we have our answer

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

Answer:

It should be $20,000

Step-by-step explanation:

From $20,000 to $14,000 = -30%

Which the -30% is the discount basically

So your final answer should be $20,000

$20,000 was the original price.

Answer:

addition add 3 to both sides to isolate the variable term

Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

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First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]