15. the quotient of 5 and a number squared

Answer: 24x - p - 40

Step-by-step explanation:

Given expression

-8 (4 - 3x) - (p + 8)

Expand the parentheses and apply the distributive property if necessary

=-32 + 24x - p - 8

Combine like terms

=24x - p - (32 + 8)

=[tex]\boxed{24x-p-40}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Based on the information given, the other number will be 112 - x

Value of the first number = x

Value of the second number = y

Sum of the numbers = 112

Therefore, the value of the second number will be:

x + y = 112

y = 112 - x

In conclusion, the value of the second number is 112 - x.

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Answer:

Step-by-step explanation:

14

SA = 2 pi r * x + 2* pi r^2

r = 6

SA = 2 pi * 6 * x + 2 * pi * 6^2

SA = 12 pi * x + 72 pi

Volume = pi r^2 * x

Volume = pi 36 x

Now volume and surface area are made to be equal so

Volume = Surface area

36 pi x = 12 pi x + 72 pi                 Divide through by pi

36x = 12x + 72                               Subtract 12x from both sides

24x = 72                                        Divide by 24

x =  72/24

x = 3

15 is done exactly the same way. You can try it yourself. Only the numbers are different. Use 10 for the radius. You should get x = 2.5

Answer:

[tex]thank \: you[/tex]

Answer:

D. 4

Step-by-step explanation:

Without actually solving the equation, recall that for [tex]a=|b|[/tex], there are two cases:

[tex]\begin{cases}a=b, \\a=-b\end{cases}[/tex]

In the given equation [tex]|x-2|^{10x^2-1}=|x-2|^{3x}[/tex], there are two pairs of absolute value symbols.

Since each has two cases, there must be a total of [tex]2\cdot 2=\boxed{4}[/tex] different equations created.

All four cases are:

[tex]\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}[/tex]

Exponents differ, hence clearly there are four possible solutions to this equation.

You can solve for all four values of [tex]x[/tex] by taking the log of both sides and using a bit of algebra to verify you have four solutions.

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

[tex]x+2(x+2)=20+(x+4)[/tex]

Combine like terms:

[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!

[tex]\boxed{\sf Volume=\pi r^2h}[/tex]

[tex]\\ \sf\longmapsto π(0.7)^2h=231[/tex]

[tex]\\ \sf\longmapsto 0.49πh=231[/tex]

[tex]\\ \sf\longmapsto πh=\dfrac{231}{0.49}[/tex]

[tex]\\ \sf\longmapsto 3.14h=471.4[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{471.4}{3.14}[/tex]

[tex]\\ \sf\longmapsto h=150m[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

17

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + 12 = 3x - 5\\--------------\\\rightarrow 2x + 12 - 12 = 3x - 5 - 12\\\\\rightarrow 2x = 3x -17 \\\\\rightarrow2x -3x = 3x-3x - 17\\\\\rightarrow -x = - 17\\\\\rightarrow \frac{-x=-17}{-1} \\\\\rightarrow \boxed{x = 17}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

-4 - (-3)

= -4 + 3

= -1

Answer:

(-1)

Step-by-step explanation:

-4- (-3)

-4+3

(-1)

Hope you got it

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Answer:

1) 2x cube - 3x square + 9x

2) 4z to the power of 6 + z to the power of 5 - 11z to the power of 4 - 6z square

3) 9a to the power of 7 - 5a to the power of 6- 13a to the power of 5

First, [tex]y=7x[/tex] and when we plug in the point we get [tex]-8=7a\implies a=-\frac{8}{7}[/tex].

Hope this helps :)

Answer:

-15

-12

10

|-12|

|-26|

Step-by-step explanation:

Basically, the absolute value turns the -'s into +'s so the |-26| turns into a 26. Thus, when you convert the two numbers out of the absolute value, it's easy then on.

Answer:

-15, -12, |10|, |-12|, |-26|

Step-by-step explanation:

The bars around three of the numbers are absolute value bars. The absolute value of a number is its distance from 0. Since distance cannot be negative, a number's absolute value will just be that number but positive. Therefore, the largest number listed is |-26| because it equals 26. Then, -15 is the smallest number represented.

Answer:

(2,800/1,500) * 100 = 187%

Step-by-step explanation:

Answer:2

Step-by-step explanation:14/2 = 7 - 5 =2

First, let's define our variable

x = brother's money

Now, let's create an equation to model the problem.

$14 = 2x - $5

Add 5 to both sides.

$19 = 2x

Divide both sides by 2

$9.5 = x

His brother has $9.5

Answer:

hi

Step-by-step explanation:

Answer:0.7

Step-by-step explanation:trust me

Answer: The answer is  58.6

Step-by-step explanation:

After figuring out this equation by the nearest 10th I've come up with the answer  58.6

Answer:

Try -17/22

Step-by-step explanation:

Multiply the numbers

r-1 • 5/22 =-1

Which is just

r- 5/22 =-1

Add 5/22 to both sides of the equation

r- 5/22 + 5/22 = -1 + 5/22

which equals r= -17/22

Answer:

the x-values are the inputs

the y-values are the outputs

the missing value in the table for x = -1 is y = 6

Step-by-step explanation:

Answer:

[tex]\frac{1015}{99}[/tex]

Step-by-step explanation:

x = 10.2525252525....

100x = 1025.2525252525....

    x = 10.2525252525....

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

99x = 1015

x=1015/99

Answer:

Let the no. be x.

Therefore,

PERIMETER 1=4x-3

PERIMETER 2=2x+5

Since,

Both PERIMETER are equal .

Therefore,

4x-3=2x+5

2x=8,

x=4

PERIMETER 2 =2×4+5

=13

The answer will be ;

a) The equation to find the number will be 4x-3 = 2x +5

b) After solving the equation we get value of number equal to 4.

c) Perimeter of figure 2 will be equal to 13.

It has been given that there are two figures. Perimeter of figure 1 is four times a number minus three whereas, perimeter of figure 2 is two times the same number plus five.

We have to solve given subparts of the question based on data given.

What is the perimeter ?

Perimeter is the distance around the edge of a shape.

Let the number be x.

Perimeter of figure 1 will be equal to 4x - 3

Perimeter of figure 2 will be equal to 2x + 5

a) As per the question perimeter of both the figures are equal.

   So, the equation will be ,

   4x-3 = 2x+5

b)

∵ 4x -3 = 2x + 5

   4x-2x = 3 + 5

   2x = 8

    x = 4

Thus the number is 4.

c) Perimeter of figure 2 = 2x + 5

                                       = (2 × 4 ) + 5

                                       = 13

Thus, the perimeter of figure 2 will be equal to 13.

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Answer: 11

Step-by-step explanation:

Complementary angles mean both angles sum 90°, then:

(3x + 2)° + 5x° = 90°

3x° + 2° + 5x° = 90°

8x° + 2° = 90°

8x° = 88°

x = 11

Confirmation:

(3x + 2)°                                        5x°

(3(11) + 2)°                                      5(11)x°

(33 + 2)°                                         55x°

35°

                      35° + 55° = 90°

Answer:

1 to 24 or 1:24

Step-by-step explanation:

1.) First , divide 2 by 2

2.) divide 48 by 2

3.so, for every adult ticket, there were 24 child tickets

or 1:24

Answer:

512 is the minimum sum of the squares, when both numbers are 16.

Step-by-step explanation:

Make the two numbers equal. 16² + 16² = 256 + 256 = 512

Make the two numbers as far away as possible. 32² + 0² = 1024 + 0 = 1024.

The two numbers are 18 and 18 and the sum of their squares is 648 which is the minimum

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = x

Let the second number be = 36 - x

Now ,

The sum of two numbers = 36

So ,

For both the numbers to be in their minimum value , the number will be half the original number

So ,

2x = 36

Divide by two on both sides , we get

x = 18

So , the two numbers are 18 and 18

Now ,

The sum of the squares of numbers A should be minimum ,

So ,

A = 18² + 18²

A = 324 + 324

A = 648

Therefore , the sum of the squares of two numbers is 648

Hence , The two numbers are 18 and 18 and the sum of their squares is 648 which is the minimum

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Answer:

Present Day:

Bob:Rob:Difference

 3   :  4  :        1

 6   : 12  :       2

4 years ago:

Bob:Rob:Difference

    5 : 7 : 2

Answer:d

Step-by-step explanation:

Answer:

each child would have 50

Answer:

50 chocolates

Step-by-step explanation:

No of Chocolates = 750

No of student. = 15

One student get = 750 / 15

= 50