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X + y = 10

Rewrite as y = 10-x

Y - x = 6

Replace y

10-x -x = 6

Simplify:

10-2x = 6

Subtract 10 from both sides:

-2x = -4

Divide both sides by -2:

X = 2

Now replace x in the first equation:

2 + y = 10

Subtract 2 from both sides:

Y = 8

The two numbers are 8 and 2

Answer: 17500 meters

Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so

17.5 in meters is 17500.

Answer:

For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

Step-by-step explanation:

1/1000 chance of winning.

This means that there is an 1/1000 probability of you earning $500.

1 - 1/1000 = 999/1000 chance of losing.

In this case, you earn nothing.

What is your average payoff from many tickets

[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]

Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

Answer:

Step-by-step explanation:

I think its B, (30)

Answer:

Well it would be a total of 2 Cup Cakes

Step-by-step explanation:

1/3 + 1/3 + 4/3 =2

2/3 +4/3 = 6/3

ye

Answer:

Step-by-step explanation:

it would be 2

Answer:

the third option

Step-by-step explanation:

Answer:

x = sqrt(39)

Step-by-step explanation:

Let y = common side of the two triangles.

Upper right triangle:

6^2 + y^2 = 10^2

y^2 = 100 - 36

y^2 = 64

y = 8

Lower left triangle:

5^2 + x^2 = 8^2

x^2 = 64 - 25

x^2 = 39

x = sqrt(39)

Answer: The answer is C

Step-by-step explanation:

C is the answer because the base is +2 and the coefficent  is  1/2 which is rise over run so you go up one space and to the right two spaces.          

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

0.9778

0.606

Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

P(Z < - 0.327) = 0.3718

Between 700 and 850

P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

Answer: it triples by 3 so 15,45, 135

Step-by-step explanation: this is by 3 because it goes on by 15,45,135

The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

Given that, (x+2y)(x²-xy+3y).

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

The product of two given polynomials is as follows

(x+2y)(x²-xy+3y)

= x(x²-xy+3y)+2y(x²-xy+3y)

= x³-x²y+3xy+2x²y-2xy²+6y²

= x³+x²y-2xy²+6y²+3xy

Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

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Answer:

0

Step-by-step explanation:

Answer:

f(- 2) = 8

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x) , that is

f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8

Answer:

Step-by-step explanation:

i am not sure do they give you a number of tiles

Answer:

A: 6/50

Step-by-step explanation:

i think

2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

Answer:

11: 1 tens, 1 ones      17: 1 tens, 7 ones     17 is greater number, it is greater by 6

Answer:

In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?

Step-by-step explanation:

Area of shaded region = area of circle - area of segment

(where "segment" refers to the unshaded region)

Area of circle = π (11.1 m)² ≈ 387.08 m²

The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:

Area of segment = area of sector - area of triangle

130° is 13/36 of a full revolution of 360°.  This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so

Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²

Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :

x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

x ² ≈ 404.82 m²

x = 20.12 m

Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so

sin(25°) = y / (11.1 m)

y = (11.1 m) sin(25°)

y ≈ 4.69 m

Then

Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²

so that

Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²

Answer:

$36.00 i think

Step-by-step explanation:

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

Answer:

option B is correct because

1 hectameter is equal to 10000cm

Given:

The equation of parallel line is [tex]y=6[/tex].

The line contains the point (-1,1).

To find:

The equation of the line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The equation of parallel line is

[tex]y=6[/tex]

It can be written as

[tex]y=(0)x+6[/tex]

The slope of this line is 0.

The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=0(x-(-1))[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Therefore, the equation of the required line is 1.

Answer:

one solution

the solution is x=0

Answer:

1

Step-by-step explanation:

You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.

Answer:

D) 111

Step-by-step explanation:

Internal Alternate angle thm states 111 and x are equal:

? = 111

Answer:

D

Step-by-step explanation:

its the same as the angle that was given to you

Answer:The answer is c

Step-by-step explanation:

The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.

Volume is the three-dimensional space enclosed by a three-dimensional object.

We have to find the volume of the box and the volume of the storage space.

Volume = length × breadth × height

= 24 × 18× 16 in³

=6912 in³

Volume = length × breadth × height

= 400 × 240 × 60 ft³

= 5760000 ft³

Therefore, 5760000 ft³ = 5760000 × (12)³ in³

Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³

= 1440000 boxes.

Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.

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Answer:

Well if it is 1 to 9 and you press it 4 times you will have 9 possible outcomes

Step-by-step explanation:

The number of possible outcomes when the button is pressed 4 times is; 81 outcomes

This is because the sample space includes odd numbers between 1 and 9 excluding 1 and 9.

Since number of possible choices for one press is 3,then for four presses, we will have;

3⁴ = 81 possible outcomes

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Answer:

2

Step-by-step explanation:

Given the quadratic equation

3x²+2x-1=0

Let tthe root be α and β

Sum of root α+β = -b/a

Product of root αβ = c/a

Given that;

a = 3, b = 2 and c = -1

α+β = -2/3

αβ = -1/3

To get 1/α + 1/β

Find the LCM

1/α + 1/β

= (α+β)/αβ

= (-2/3)/(-1/3)

= -2/3 * 3/-1

=  2

Hence the required answer  is 2