sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]

Given the following function as shown:

[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]

This can be factorized as:

[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]

Cancel out the common terms:

[tex]f(x) = \frac{x+3}{x}[/tex]

Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\

Learn more on functions here: https://brainly.com/question/10439235

Hi Phoenix! :)

I'm much late lol.

Answer:

[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]

Step-by-step explanation:

Given:

[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]

Solution:

[Here the best option is to factorise the expression.]

Rewrite the numerator of the expression as

[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]

It can be seen that the numerator is like an algebraic identity:

> a² - b² = (a+b)(a-b)

ATP, numerator : a = x² and b = 3²

Now in the denominator take x common:

(x-3) in the denominator and (x-3) in the numerator gets canceled.

Welp,Done, that's it! :D

9514 1404 393

Answer:

  x = -2

Step-by-step explanation:

Multiply both sides of the equation by -1.

  (-1)(2) = (-1)(-x)

  -2 = x

The value of x that makes the equation true is x = -2.

Answer:

D

Step-by-step explanation:

-6-(-5)=-6+5

         =-1

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

Answer:

No

Step-by-step explanation:

If the U.S goes in a gold standard it can put the whole state in a crises

Answer:

help please, i’m struggling on this

Answer:

First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top

Step-by-step explanation:

Answer:

The last one is incorrect

Answer:

Equation 2 represents the greatest value of x!

Step-by-step explanation:

Let's solve each equation for x.

Equation 1; x = 4.1 (about)

Equation 2: x = 5 (about)

Equation 3: x = 4 (exact)

Equation 4: x = 3 (exact)

Hope this helps. :)

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

Please vote brainliest!

Step-by-step explanation:

i think this is the answer

Answer:

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.

Answer:

3x + 8y = 31

5x + 2y = 12

Let's solve your system by elimination.

Multiply the second equation by -4, then add the equations together.

(3x + 8y = 31)

−4 (5x + 2y = 12)

Becomes:

3x + 8y = 31

−20x − 8y = −48

Add these equations to eliminate y:

−17x = −17

Then solve −17x = −17 for x:

−17x = −17

−17x −17 = −17 − 17 (Divide both sides by -17)

x = 1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x + 8y = 31

Substitute 1 for x in 3x + 8y = 31:

(3)(1) + 8y = 31

8y +3 = 31 (Simplify both sides of the equation)

8y + 3 − 3 = 31 − 3 (Add -3 to both sides)

8y = 28

8y8 = 288 (Divide both sides by 8)

y = 7/2

if it is asking for point slope form the answer is : y-34=-7(x+4)

if it is asking it in slope intercept form the answer is: y=-7x-62

[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]

It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.

Learn more about maths in https://brainly.com/question/21477139

Answer:

The speeds are 74 mph and 87 mph.  

Step-by-step explanation:

Let x = speed of slower train

     x + 13 = speed of faster train

The trains meet when the sum of the distances = 483

3x + 3(x+13) = 483

6x + 39 = 483

6x = 444

 x = 74 mph

The speeds are 74 mph and 87 mph.  

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

Answer:

12.50

Step-by-step explanation:

12.50

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 = 40%

Answer:

I dont know

Step-by-step explanation:

Can you type in the question please and ty

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

Answer:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4

Answer

I think it is 25

Step-by-step explanation:

5 x 5 = 25 I think

Answer:

We’ll you can not physically or mentally get a answer

Step-by-step explanation:SORRY

Answer: second one is the correct answer

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

Answer:

y=2x+3

Step-by-step explanation:

The answer is gonna be y=2x+3. The 2 is the slope so it needs to stay the same. the 4 in the original equation is the y intercept so to move it one unit lower you just subtract 1 and get your answer