A girl's feet are negative 4 over 6 yards from the surface of a pool. A boy's feet are negative 1 over 6 yards from the surface of the pool. Determine whose feet are closer to the surface.

The girl's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The girl's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.

 x / x² - 2x - 15 - 4 / x² + 2x - 35

FIND THE FACTOR OF EACH DENOMINATOR

= x / (x-5)(x+3) 

-  4 / (x-5) (x+7)

FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.

= x / (x-5)(x+3)  *

(x+7) / (x+7)   -    4 / (x-5) (x+7)  * (x+3)/(x+3)

PERFORM SUBTRACTION

= x2 + 7x / (x-5) (x+3) (x+7)  - (4x + 12) / (x-5) (x+7) (x+3)

= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)

this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)

Answer:D

Step-by-step explanation: I just did it on edge

2/3 belongs to a set of

* Rational numbers

* Real numbers

* Complex numbers

all at the same time

Final answer:

The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.

Explanation:

The transformation of triangle ABC is an example of a linear transformation.

A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.

For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.

Answer: 26 ft.

Step-by-step explanation:

In the given picture, there is a right triangle.

The legs of the right triangles are 10 ft and 24 ft.

To find the length of hypotenuse, we use Pythagoras theorem, we get

[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]

Hence, the length of the hypotenuse = 26 ft.

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]

multiply both sides by 2 to eliminate the fraction

([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A

divide both sides by h

[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]

subtract [tex]b_{1}[/tex] from both sides

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]

3000*.03= 90 so your balance would be 3000+90=$3090

Answer: 3:2

Step-by-step explanation:

Given : An animal shelter currently only has 30 dogs and 20 Cats.

i.e. Number of dogs = 30

Number of cats = 20

Then, the ratio of cats to animals is given by :-

[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]

Therefore, the ratio of cats to animals = 3:2

Answer: 1 ,5 and 2,6 (D is the correct answer)

4 3/4= 19/4=4.75 its a terminating decimal

I hope this is the answer you're looking for!

f(x)=3x+1, range x={4,5,6} --> domain is a set of values {13, 16, 19}

f(x)=x+10, for x={10,4,-6} domain is a set of {4, 14, 20}

Hello Azzizigilchrist.

The equation of this question would be $1000x

x stands for the amount of years it has been

So if it has been 4 years, 1000 * 4 equals 4000

:)

Yeah, its all correct

It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)

First : Distributive Property

(1/9∙x)+(1/9∙18)

1/9x+18/9

(1/3∙2x)+(1/3∙3)

1/9x+2+2/3x+1=x+3

Second : Rearrange

1/9x+2/3x-x+3-2-1

Third : Solve!                    :D

-7/9x=0

7/9x=0

x=0

It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.

[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]

To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.

The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:

For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:

[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

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

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

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

Quotient : x+1

Remainder : 2x+3

The answer would be D. Y=secx

Hope this helps and good luck!

405,000,000 - 1.7×10^8

= 4.05 × 10^8  - 1.7 × 10^8

= (4.05 - 1.7) × 10^8

= 2.35 × 10^8

Hope it helps

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

An architect notices that the scale on a blueprint he is using has been torn off.

However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.  

Let the scale be x

[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]

So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5

So, the answer is : 1 in : 2.5 ft

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

pls make me brainliest

we have been given table containing 6 points.

let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:

[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]

In the first row we see that numbers increase by 1 so that clearly means a=4.

Now we need to find the common difference in the outputs to help find the missing outputs in the table.

4.6-3.8=0.8

5.4-4.6=0.8

we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.

b=3.8-0.8=3

x=5.4+0.8=6.2

y=6.2+0.8=7

Hence the final answer is given by table:

[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]

Answer:

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

Answer:

40

160

Step-by-step explanation: