Eliminate the y in the following system of equations. What is the result when you add the two equations?
3x - 2y = 8
x + y = 6

Answer:

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.

Answer:

The answer to each question is:

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

If we replace the value of the edge, we obtain:

With this data, we can find the area:

Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

Then:

In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.

Answer:

ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:

Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5

Step-by-step explanation:

Step-by-step explanation:

[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Answer:

Step-by-step explanation:

63,505,208

can you choose me brainliest?

Answer: im not sure about this but I’ll try

24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles

Step-by-step explanation:

Answer:

248 cm^2

Step-by-step explanation:

in order to get the figures surface area you only need to find the area of all 6 sides

in this case the two ends are 4 by 6

the front and back are 10 by 6

and the top and bottom are 10 by 4

this would mean that we need to multiply

(4*6)*2

(10*6)*2

(10*4)*2

which would look like

(4*6)*2= (24)*2= 48

(10*6)*2= (60)*2=120

(10*4)*2= (40)*2=80

and finally the sum of the equations is the surface area of the figure

48+120+80=248

Answer:

Step-by-step explanation:

Assume that  and multiply the equation  by 4p. Then you obtain the equation (x-h)^2+4pk=0.

1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.

2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.

2) If k<0, then 4pk<0 and the equation  has two different solutions and there are two zeros.

Answer:

Given equation:

Multiply this by 4p to get:

Rewrite this as:

1) If p > 0 and k < 0

2) If p > 0 and k = 0

3) If p > 0 and k > 0

Answer:

A

Step-by-step explanation:

Volume = lwh

Volume = (8/3) x (13/4) x (3)

Volume = 26 cubic meters

Answer:

98

Step-by-step explanation:

Answer:

t = 68000 s

Step-by-step explanation:

Given that,

The average time Sally spent for training for her weight lifting competition in the month of May is [tex]6.8\times 10^4\ s[/tex].

We need to write this time in standard notation.

The power of 10 is 4. 10⁴ can be written as 10000.

[tex]6.8\times 10^4=\dfrac{68}{10}\times 10000\\\\=68000[/tex]

So, the standard time is equal to 68000 s.

Answer:

30

Step-by-step explanation:

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

Answer:

x = 4 ± [tex]\sqrt{11}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{11}[/tex]

Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

Question is incomplete as number of trials isn't given. We'll use an hypothetical value to make x plain the situation

Answer:

Kindly check explanation

Step-by-step explanation:

Given that the number of trials = x

If the number of tines the ball was hit out if 'x' trials = 3

The ratio of the number of hits to the number of trials is written as :

Number of hits : Number of trials

3 : x

Just put the exact value of x in the equation above and if possible, reduce to simplest form.

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

If you help me with my last question I will help you with this one

Answer:

Median= 9

Range= 2

Mean= 9.2

Mean after zero= 8.3

Step-by-step explanation:

8, 8, 9, 9, 9, 10, 10, 10, 10

Median= order from least to greatest then eliminate from left to right until you get to the middle

Range= Subtract biggest # minus smallest #

Mean= add up all the numbers then divide by 9

Mean after zero= add 0 with other numbers then divide by 10

Answer:

Approximately = 131 employees in total

Step-by-step explanation:

if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total?

Let us represent total number of employees = x

Hence,

42% of x = 55 employees

42/100 × x = 55

42x/100 = 55

Cross Multiply

42x = 100 × 54

x = 100 × 55/42

x = 130.95238095 employees

Therefore, there is approximately a total 131 employees

Answer:

( x− 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 2x - 8 \\ sum = 2 \: and \: product = - 8 \\ factors = 4 \: and \: - 2 \\ = > {x}^{2} + 4x - 2x - 8 \\ = x(x + 4) - 2(x + 4) \\ = (x - 2)(x + 4)[/tex]

Answer:

y = -3x + 5

Step-by-step explanation:

(2, -1); m = -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

Answer: 6 gallons

Step-by-step explanation: 15/390 then answer x 156

Answer:

10 combinations

Step-by-step explanation:

We can solve the above question using the Fundamental Counting Principle.

This states that:

If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.

We are told in the above question that:

Styles of jeans = 2

Number of colors = 5

Hence,the number of combinations of a style and a colour that are possible is calculated as:

5 × 2 = 10 combinations

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

Answer: it is 6

Step-by-step explanation: because they are the same length.