Find the value of x in the diagram below.

Answer:

x=4/3 .   x=2/5

Step-by-step explanation:

Answer: x = 56

It’s a supplementary angle

Step-by-step explanation:

It’s a supplementary angle if their measures add to 180 degrees

is the equation

2x + 68 = 180 degrees

2x = 180 -68

2x = 112

x = 112/2

x = 56

Answer:

I'm sure it is 7.02!

Step-by-step explanation:

Answer:

The length of one of it's sides is 4

Step-by-step explanation:

4 x = 16 x 4 = 64

A cube is a 3 dimensonal square, meaning the lenght, widith, and height of the cube are all going to be teh same.

Answer:

Step-by-step explanation:

Prime factorize 64

Volume of cube = 64 in³

side³ = 64

         = 2*2*2*2*2*2

Take cube root,

[tex]\sqrt[3]{side*side*side} =\sqrt[3]{2*2*2 * 2*2*2}\\\\\\side= 2* 2\\\\side = 4 \ in[/tex]

Answer:

12x² - 5x - 2

Step-by-step explanation:

(3x - 2)(4x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x + 1) - 2 (4x + 1) ← distribute parenthesis

= 12x² + 3x - 8x - 2 ← collect like terms

= 12x² - 5x - 2

Answer:

the time taken is 22 mins

Answer:

11/5

Step-by-step explanation:

FirLet a and b be the roots of 11x^2-4x-2=0

Now[tex](1+a+a^2+\cdots)(1+b+b^2+\dcots)=\frac{1}{1-a}\cdot \frac{1}{1-b}\\=\frac{1}{(1-a)(1-b)}=\frac{1}{1-(a+b)+ab}[/tex]

Dividing the quadratic equation by 11 we have

[tex]x^2-\frac{4}{11}x-\frac{2}{11}=0.[/tex]

Now the sum of the roots is the minus of the coefficient of x and the product of the roots is the constant. Therefore

[tex]a+b = 4/11 \\ab = -2/11[/tex]

and we have

[tex]\frac{1}{(1-a)(1-b)}=\frac{1}{1-\frac{4}{11}-\frac{2}{11}}\\=\frac{1}{(5/11)}=\frac{11}{5}[/tex]

9514 1404 393

Answer:

  49

Step-by-step explanation:

The sum of 5 numbers that have an average of 30 is ...

  sum = 5×30 = 150

The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...

  150 -1 -1 = 148

The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.

  148/3 = 49.333...

Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.

In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.

Answer:

[tex] {( \frac{ {2x}^{4} {y}^{4} }{ {4x}^{2} } )}^{3} \\ [/tex]

open the bracket:

[tex] = \frac{ {2x}^{(4 \times 3)} {y}^{(4 \times 3)} }{ {4x}^{(2 \times 3)} } \\ [/tex]

simplify:

[tex] = \frac{ {2x}^{12} {y}^{12} }{ {4x}^{6} } \\ [/tex]

group x terms together:

[tex] = ( \frac{ {2x}^{12} }{ {4x}^{6} } ) \times {y}^{12} \\ \\ = (\frac{ {x}^{(12 - 6)} }{2} ) \times {y}^{12} \\ \\ = \frac{ {x}^{6} }{2} \times {y}^{12} [/tex]

factorise out power 6:

[tex] { \boxed{= \frac{ {(xy {}^{2}) }^{6} }{2} }}\\ [/tex]

Answer:

C

Step-by-step explanation:

Lets set this up:

5x-3y=2=

5x=3y+2=

5x-2=3y=

y=5/3x-2/3

Now graph this.

When graphed you see that the only point that lies on the graph is C (3,13/3)

Hope this helped!

Edit: Explanation

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In general, the only way to divide a square array of dots into two triangular arrays of dots is the way it was done in the example shown in the problem statement. The dividing line is drawn next to the longest diagonal.

So, for 25 dots, you make a 5×5 array and draw the line next to the corner-to-corner diagonal. Same for a 6×6 array of 36 dots.

Answer: 21

Step-by-step explanation:

First we have to find LCM (lowest common multiple) of the given number, i.e 700.

LCM = 2 × 2 × 5 × 5 × 7 = 700

now, let's add 7 to 700

We get the required number as 707

Answer:

[tex]change \: n \: temparature = final - initial \\ = 15 - - 13 \\ = 28degree \: celcius[/tex]

[tex]thank \: you[/tex]

Answer:

the temperature went up by 28C

Step-by-step explanation:

15--13

9514 1404 393

Answer:

  2a. (360x +495)/(8x +11) = 45

  2b. 2((8x+11) +45) = 16x +112

Step-by-step explanation:

a) The area is the product of length and width.

  A = LW

We are given ...

  W = 8x +11

  A = 360x +495

The value of length can be found by solving for L:

  L = A/W

  L = (360x +495)/(8x +11)

The long-division solution to this is shown in the attachment.

  L = 45 . . . . simplified expression for length

__

b) The perimeter of the tank is twice the sum of length and width:

  P = 2(L +W)

Substituting the values for L and W, this is ..

  P = 2(45 +(8x +11)) . . . . expression for length of edge seal

  P = 2(8x +56)

  P = 16x + 112 . . . . . . simplified expression for seal length

Answer:

a

Step-by-step explanation:

a rational number is a whole number

Answer:

x=4

Step-by-step explanation:

-224= 4x- 16- 56x

-224= -52x -16

+16

-208=-52x

x=4

Answer:

Step-by-step explanation:

Jenn is the fastest swimmer.

Time and speed is inverse proportion. If speed is more, the time taken will be less. So, who takes less time will be the fastest swimmer

We can tell from the table that Jenn is the fastest swimmer. She has the lowest time and fastest speed

Answer:

23/24

Step-by-step explanation:

I hope it will help

Answer:

18 math problems

Step-by-step explanation:

1) We can first divide the number of students to find out how many groups the teacher made from the class. This is easily solved by dividing the number of students, 24, by the number of students the teacher places in each group, which is 4. So 24 divided by 4 equals 6 groups total, the total number of groups now made.

2) Now is to find the number of math problems that the whole class solves. This is easily now solvable by multiplying the number of groups in the class, which is 6, by the number of math problems each group solves, which is 3. So basically, 6 times 3 equals 18, the total number of math problems all the groups, the whole class, solve.

Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Step-by-step explanation: 3.300 / 150=  22 limoeiros+  4=  26