What is the median of the following numbers?
8, 10, 10, 10, 6, 7, 8

Answer:

Step-by-step explanation:

Answer:

X=1/5

Step-by-step explanation:

Please see the attachment.

Answer:

Maybe? kinda confused

Step-by-step explanation:

3/4x+1/4=2x

-3/4       -3/4

  x+1/4=1 1/4

      -1/4  -1/4

           x=1

Answer:

C and D

Step-by-step explanation:

As determinant of this quadratic equation is given by-

(-b±√(b²-4ac))/2a

Answer:

40 and 89

Step-by-step explanation:

let x be the number then the other number is 2x + 9, then

x + 2x + 9 = 129, that is

3x + 9 = 129 ( subtract 9 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

Thus the numbers are

x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89

Answer:

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

Let the first positve number be [tex]x[/tex]

and the other number be [tex]y[/tex]

Hence,

[tex]x = 6y[/tex] ....... (1)

Also,

That is,

[tex]x - y =205[/tex] ........(2).

To solve for the two unknowns, substitute the value of [tex]x[/tex] in equation (1) into equation (2).

Since,

[tex]x = 6y[/tex]

Then

[tex]x - y =205[/tex] becomes

[tex](6y) - y =205\\[/tex]

Then,

[tex]6y - y = 205\\5y = 205\\[/tex]

Divide both sides by 5

[tex]\frac{5y}{5} = \frac{205}{5} \\ y = 41\\[/tex]

∴ the value of [tex]y[/tex] is 41

Now, substitute the value of y into equation (1) to find [tex]x[/tex]

Then,

[tex]x = 6y[/tex] becomes

[tex]x = 6(41)\\x = 246\\[/tex]

∴ the value of [tex]x[/tex] is 246

Hence the positive numbers are 246, and 41

(246, 41)

Answer:

Another number is 28

Step-by-step explanation:

Given:

Number = 12

Another number = x

The tripled product = 120

Find:

Number

Computation:

3(x + 12) = 120

x + 12 = 40

x = 40 - 12

x = 28

Another number is 28

Answer:

20%

Step-by-step explanation:

2.5 min =(60×2.5)sec=150 sec

30sec to 150sec=30×100/150=20%

Answer:

20 %

Step-by-step explanation:

2.5 mins = 150 sec

30 sec of 150 sec in % = 30/150 × 100

= 20 %

Step-by-step explanation:

= -15x+6y-(10x+7y)

= -15x+6y-10x-7y

= -25x-y.

Answer: 4

Step-by-step explanation:

10 + 7 = 17

15 + 6 = 21

21 - 17 = 4

I don’t know but wanted to try it might not be right

Answer:

1357 sq.m

Step-by-step explanation:

50*32= 1600

27*9= 243

Area left = 1600 - 243 = 1357

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = [tex]\frac{112 - 2x}{3}[/tex]

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( [tex]\frac{112 - 2x}{3}[/tex] )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

Answer:

1st number = 36

Second = 16

Third = 64

Step-by-step explanation:

We have 3 numbers

Let's call the second number g

Then the first would be , 2x g = 2g

Then the third would be twice the first = 2 x 2g = 4g

We add up all numbers and equate it to 112

2g + g +4g = 112

7g = 112

g = 112/7

g = 16

First number = 2g = 2x16 = 32

Second number = g = 16

Third number = 4g = 4x16 = 64

Therefore the numbers are 32, 16, 64.

I hope this helps!

Answer:

36°

Step-by-step explanation:

I’m assuming <AOC is a right angle.

6x-12+3x+30=90

9x+18=90

9x=90-18

9x=72

x=8

<AOB=6x-12=6*8-12=48-12=36°

Answer:

1. 37

2. 5

4. -22

5. -3

6. -10

7. 5

8. -7

Step-by-step explanation:

Given the functions:

[tex]f(n) = 8n - 3 \\g(n) = 3n - 10[/tex]

To find:

[tex]1. f(5) = ?\\2. g(5) =?\\4. g(-4) =?\\5. f(0) =?\\6. g(0)=?\\7. f(1) =?\\8. g(1) =?\\[/tex]

Solution:

Let us put the given values one by one in the functions [tex]f(n), g(n)[/tex] to find the various values required.

1. [tex]f(5)[/tex] means to replace the value of [tex]n[/tex] with 5 in [tex]f(n)[/tex]:

[tex]f(5) = 8\times 5 - 3 = \bold{37}[/tex]

2. [tex]g(5)[/tex] means to replace the value of [tex]n[/tex] with 5 in [tex]g(n)[/tex]:

[tex]g(5) = 3\times 5 - 10 = \bold{5}[/tex]

4. [tex]g(-4)[/tex] means to replace the value of [tex]n[/tex] with -4 in [tex]g(n)[/tex]:

[tex]g(-4) = 3\times -4 - 10 = \bold{-22}[/tex]

5. [tex]f(0)[/tex] means to replace the value of [tex]n[/tex] with 0 in [tex]f(n)[/tex]:

[tex]f(0) = 8\times 0 - 3 = \bold{-3}[/tex]

6. [tex]g(0)[/tex] means to replace the value of [tex]n[/tex] with 0 in [tex]g(n)[/tex]:

[tex]g(0) = 3\times 0 - 10 = \bold{-10}[/tex]

7. [tex]f(1)[/tex] means to replace the value of [tex]n[/tex] with 1 in [tex]f(n)[/tex]:

[tex]f(1) = 8\times 1 - 3 = \bold{5}[/tex]

8. [tex]g(1)[/tex] means to replace the value of [tex]n[/tex] with 1 in [tex]g(n)[/tex]:

[tex]g(1) = 3\times 1 - 10 = \bold{-7}[/tex]

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted  Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

[tex]\text{total checkbook balance = checkbook balance+ credits}\\[/tex]

                                      [tex]= \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85[/tex]

[tex]\text{ Adjust check book balance= total checkbook balance - servicec charge}[/tex]

                                         [tex]= \$2392.85 - \$5.00\\\\= \$ 2387.85[/tex]

Adjusted the Statement Balance:

bank statement balance= $2,253.18

[tex]\text{total Statement balance = bank Statement balance+ transit amount}\\[/tex]

                                      [tex]= \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45[/tex]

[tex]\text{outstanding check amounts = $105.50+ $158.10}[/tex]

                                           [tex]= \$263.60[/tex]

[tex]\text{ Adjust statement balance= total statement balance - outstanding check amount }[/tex]                                        [tex]= \$ 2,858.45 - \$263.60\\\\= $ 2,594.85[/tex]

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-2; 4)

A' = (-2 - 4; 4 - 2) = (-6; 1)

After reflection on F(X)

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

Answer:

x+(-6)= -33

hope that helps : )

Answer: x+-6=-33

Step-by-step explanation: The x is a variable which is added to -6 which equals -33.

dude google works search it up sorry bro  just needs some points you get it raight

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

la respuesta sería un por que si multiplicas el 2 y luego más tres te da un resultado como uno

Answer:

Step-by-step explanation:

Answer:

Number of books= 2 books

Step-by-step explanation:

number of books Jason reads each week is inversely proportional to the number of hours

Let books be x

Let hours be y

X= k/y

Where k is constant of proportionality

Jason read three books and spent four hours

3= k/4

3*4= k

12= k

So

X= 12/y

If he spent six hours

Number of books x

X= 12/6

X= 2 books

Answer:

x=7

Step-by-step explanation:

Start with the left side

-5x+7x+8

combine like terms

2x+8=1+3x

subtract 2x from both sides to get 8=1+x

subtract 1 from both sides to get 7

put the variable on the left

x=7

Hope this helps :-)

Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

Represent price of Cake with C and Price of Pie with P

[tex]C = 9 + P[/tex]

Cakes sold = 8

Pies sold = 14

[tex]Total = \$402[/tex]

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

[tex]8C + 14P = 402[/tex]

Substitute 9 + P for C

[tex]8(9+P) + 14P = 402[/tex]

Open the bracket

[tex]72 + 8P + 14P = 402[/tex]

Collect Like Terms

[tex]8P + 14P = 402 - 72[/tex]

[tex]22P= 330[/tex]

Divide both sides by 22

[tex]P = \frac{330}{22}[/tex]

[tex]P = 15[/tex]

Recall that

[tex]C = 9 + P[/tex]

[tex]C = 9 + 15[/tex]

[tex]C = 24[/tex]

Hence, the price of the cake is $24 and the price of the Pie is $15

Answer:

n = n/4 - 2

Step-by-step explanation:

n = 1/4 * n - 2

   = n/4 - 2

Answer:

-548

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

5

Step-by-step explanation:

Whenever you multiply square roots that have the same number inside the radicand, you get the number under the radicand. For example, the square root of 4 squared will equal four. Similarly, you are simply squaring the square root of 5, so you should get 5 as your answer.

Answer:

1/6

Step-by-step explanation:

There are six sides on a die and only one of them has a 4

P( 4) = number of sides with a 4/ total number of sides

        = 1/6

Answer:

P (4) = 1/6

Step-by-step explanation:

The probability can be found by creating a fraction. The numerator is the number of favorable outcomes and the denominator is the total number of outcomes.

P (4) = sides with a 4 / total sides

The standard dice has 6 sides numbered 1 through 6.

P (4) = sides with a 4/ 6

Only one side on the cube has a 4.

P (4) = 1/6

This fraction cannot be simplified further, so it is our final answer.

The probability of rolling a 4 on a standard dice is 1/6

Answer:

50

Step-by-step explanation:

2(3^2+4^2)=

3^2/(3x3) = 9

4^2/(4x4) = 16

9+16=25        

so.... rewritten it is

2(25)= or 2 x 25= 50

The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers with each other called subtraction.

As per the given,

1.5g - 10 + 6.5g - 3

Bring near of likely terms,

1.5g + 6.5g - 10 - 3 = 8g - 13

Hence "The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

greater than 1

Step-by-step explanation: