40 POINTS!!!!!!!!! Given the following system of equations and their graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 6 comma 1 and 4 comma 0. 3x − 6y = 12 9x − 18y = 36 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. The slopes are the same, and the y-intercepts are the same.

Answer:

5/16

Step-by-step explanation:

As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!

Answer:

sample space is the range of values of a random variable.

Step-by-step explanation:

Answer:

The answer is 20%.

Step-by-step explanation:

10/50= 10 divided by 50=.2

.2 times 100 (because percentages are out of 100) = 20

20% is your answer

Answer:

[tex]n[/tex].

Step-by-step explanation:

Assuming that [tex]n \in Z^{+}[/tex], then all number less than [tex]n+1[/tex] are

[tex]n+1-1=n[/tex]

Notice that the "plus one" indicates that the whole number shown by the expression [tex]n+1[/tex] indicates a whole number greater than [tex]n\\[/tex] by one unit. So, we just subtract one whole unit to achive a number less than the given expression.

Therefore, the answer is [tex]n[/tex].

Answer:

The answer is 30

Answer:

4

Step-by-step explanation:

You can cross multiply.

first i would simplify x/12=3/9 to x/12=1/3

so then it would be equal to x*3=1*12

then i would simplify it to 3x=12

then you solve for x and i would get 4

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{x}{12} =\frac{3}{9} \\[/tex]

Simplify [tex]\frac{3}{9} = \frac{1}{3} \\[/tex]

What is a third of 12?

4

x = 4

Answer:

I believe the answer is 1

Step-by-step explanation:

Answer:

The answer is either 4 or 1. ( I am quite sure of it ).

Step-by-step explanation:

Because I've got it in my maths book

Answer:

could u provide a proper picture to this question?

Step-by-step explanation:

Answer:

V(3,-5) F(0,-1) Y(-2,-3)

Step-by-step explanation:

V (0,0)

0x+3x=3x

0y-5y=-5

V= (3,-5)

you apply that to all the cords to get the new points.

The equation would be x² + x = 42 which represents "the sum of a number and its square is 42". The correct answer would be an option (A).

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number and its square is 42.

Let's assume the required number would be x

According to the given question, translate the phrase into an algebraic form:

The number = x

The number's square = x²

Thus, the sum of a number and its square is 42 will be as:

⇒ number + number's square = 42

⇒ x +  x² = 42

Therefore, the equation would be x² + x = 42 which represents "the sum of a number and its square is 42".

Hence, the correct answer would be option (A).

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Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:28.62

Step-by-step explanation:

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving forV

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·4·﹣54+2·(5·3)2+2·(5·5)2﹣34+2·(3·5)2﹣54≈28.61818

The area of a base of the triangular prism is 20 square feet.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure, the dimensions of the base are 4 ft and 5 ft.

Here, the base is rectangle

We know that, the area of a rectangle is Length×Width

= 5×4

= 20 square feet

Therefore, the area of a base is 20 square feet.

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Answer:

0.75 ounces per ounce of drink

Step-by-step explanation:

10.5/14

Answer:

0.75 oz of sugar

Step-by-step explanation:

If 14 oz contains 10.5 oz sugar

1 oz will contain 10.5/14 = 0.75 oz of sugar

Answer:

As the velocity is constant,

Distance covered in n hours = n × distance covered in 1 hr

Distance covered in 7 hrs = 7 × 110 = 770 miles

Answer:

the answer is D

Step-by-step explanation:

Answer:

V=one third (3)(3)(5)

Step-by-step explanation:

I got it right.

Answer:

A.

V=one third (3)(3)(5)

Step-by-step explanation:

the guy above has good reviews lol

Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

3x - 5 = ±2, or

3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1

Answer:

x = 33°

Step-by-step explanation:

Take a look at the attachment below, and you will see that x = 33°

Answer:

Perimeter = 55.1 ft

area = 236.625 ft2

Step-by-step explanation:

radius = 15 / 2 = 7.5

Perimeter = perimeter of 2 half circle + 4+4

                = perimeter of 1 circle +4 +4

                = 2*7.5* pi + 4 + 4 = 55.1 ft

area = area of 2 half circle + area of 1 rectangle

        = area of 1 circle + area of 1 rectangle

        = pi *7.5*7.5 +4*15

        = 236.625 ft2

Answer:

10

Step-by-step explanation:

The distance between the points  (-3, -6) and (3, 2) is  10 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by,

D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1_)^2[/tex].

Given, We have to determine the distance between the points (- 3, - 6) and (3, 2).

Let, (x₁, y₁) is (- 3, - 6) and (x₂, y₂) is (3, 2).

Therefore,

D = [tex]\sqrt{(3 + 3)^2 + (2 + 6)^2[/tex].

D = [tex]\sqrt{(6)^2 + (8)^2[/tex].

D = [tex]\sqrt{(36 + 64)[/tex].

D = [tex]\sqrt{100}[/tex].

D = 10 units.

learn more about the distance between two points here :

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Answer:

392

Step-by-step explanation:

I got it correct! :)

The surface area of the design is 392 square inches.

The correct option is B.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

The shape is a cuboid.

The surface area of the cuboid,

= 2lw+2lh+2hw,

where l is the length, w is the width and h is the height.

The height of the upper cuboid,

= 10-4 = 6 inches.

The surface area of the upper cuboid,

= 2lw+2lh+2hw

= 2(36) + 2(36) - 2(36)

= 144 square inches.

The surface area of the lower cuboid,

= 2lw+2lh+2hw

= 2(40) + 2(24) + 2(60)

= 248 square inches.

The total surface area,

= 392 square inches.

Therefore, the surface area of the design is 392 square inches.

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Answer:

x = 7°

<GDH = 112°

<FDH = 192°

<FDE = 135°

Step-by-step explanation:

If DE bisects <GDH this means that <GDE = <EDH

Given <GDE = (8x+1)° and <EDH = (6x+15)° then;

8x+1 = 6x+15

8x-6x = 15-1

2x = 14

x = 7°

Since <GDH = <GDE + <EDH

<GDH = 8x-1+6x+15

<GDH = 14x+14

<GDH = 14(7)+14

<GDH = 98+14

<GDH = 112°

For <FDH,

Note that sum of angle on a straight line is 180°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDG = 180-(43+8x+1)

<FDG = 180-44-8x = 136-8x

<FDH = 136-8x+112

<FDH = 248-8x

<FDH = 248-8(7)

<FDH = 248-56

<FDH = 192°

For <FDE;

<FDE = <FDG + <GDE

<FDE = 136-8x+8x-1

<FDE = 135°

Answer:

x=9.5

Step-by-step explanation:

In order to find the answer, we know that 6x + 4x - 5 = 90

Next we want to combine like terms: 10x - 5 = 90.

Now we have to add 5 to 90 in order to get x on its own.  10x = 95

Now solve for x by dividing 95 by 10: x=9.5

Step-by-step explanation:

This problem is very easy if you think about it!

12 to the left if negetive to if you move to the left your subtracting.

If your moving at a speed of [tex]5/6[/tex] per minute where will you be in 10.2

minutes?

EASY

[tex]5/6[/tex] × 10.2=8.5

Now all we need to do is subtract 8.5 from 12.

12-8.5= 3.5

Therefor the answer is...

Answer:

Step-by-step explanation:

1. We know that the 2 lines are not parallel. If they were, it would be marked on the graph. Therefore, corresponding angles (5 and 6 in this case) are not equal.

2. Angles 1 and 2 are corresponding angles, and because the 2 lines are parallel, they must be equal. Therefore, ∠1 = ∠2 = 60°.

3. Some real-life examples of parallel lines could be the shelves of bookcases or the painted lines in a parking lot. I hope this helps you.

Answer:

Step-by-step explanation:

[tex]x^{3}=\frac{8}{125}\\\\x^{3}=\frac{2*2*2}{5*5*5}\\\\x^{3}=\frac{2^{3}}{5^{3}}[/tex]

Take cube root,

[tex]x=\frac{2}{5}[/tex]