how many ways can 12 swimmers make it in first, second and third place

Answer:

9

Step-by-step explanation:

Given that ,

This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.

=> 8 people can sit on 1 table

=> 1 person can sit of 1/8

=> 72 people can sit on 1/8 * 72 = 9 tables

Answer:

the green socks are cheaper than the orange

Step-by-step explanation:

common maths

Answer:

Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25

Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45

Green socks are cheaper

Step-by-step explanation:

Answer:

$58.23

Step-by-step explanation:

Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.

Answer:

20 square units

Step-by-step explanation:

this polygon is a trapezoid

the formula to find the area is 1/2(b1+b2)h

If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units

when you plug that into the calculator you get

1/2(6+4)4 = 20 square units

Answer:

no habla espenol :((

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

This is a vertical line.

Vertical lines are of the form x=  since the x value does not change

x=3

Answer:

Your solution is (-1, 1).

Step-by-step explanation:

-2x = 8 - 6y

-15x = 21 - 6y

Let's solve this through elimination.

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.

-15x = 21 - 6y

-1(-15x = 21 - 6y)

15x = -21 + 6y

Now we have a new equation in our system.

-2x = 8 - 6y

15x = -21 + 6y

Now, eliminate by performing each action given by the terms.

-2x = 8 - 6y

15x = -21 + 6y

___________

13x = -13

Divide both sides by 13 to isolate x.

x = -1

Now that we know x, plug it back into one of the original equations to find y.

-2x = 8 - 6y

-2(-1) = 8 - 6y

Multiply.

2 = 8 - 6y

Subtract 8 from both sides.

-6 = -6y

Divide both sides by -6.

y = 1

Your solution is (-1, 1).

Check your answer by plugging both values into one of the original equations.

-15x = 21 - 6y

-15(-1) = 21 - 6(1)

Multiply.

15 = 21 - 6

Add 6 to both sides.

15 = 15

Your answer is correct.

Hope this helps!

Answer:

(-1,1)

Step-by-step explanation:

-2x = 8 -6y *

-15x = 21 - 6y

Solve for -6y:

-6y = -8 - 2x *

-15x = 21 - 6y

Substitute the given value of 6y into second equation, you get:

-15x = 21 -8 - 2x

Solving this equation for x gets you:

x = -1

Substitute this value (x = -1) into the equation (-6y = -8 - 2x):

-6y = -8 - 2x (-1)

This provides y:

y = 1

Answer:

RS/XY = ST/YZ

Step-by-step explanation:

They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.

Answer:

Range

Step-by-step explanation:

The range is the max value minus the min value

Answer:

47

Step-by-step explanation:

if there are 100 total and 45 are girls, then there are 55 boys enrolled. since 8 are absent- 55-8=47

Answer:

x = 9

Step-by-step explanation:

congruent angles have the same measure as each other

so;

4x + 14 = 6x - 4

(rearrange)

14 + 4 = 6x - 4x

(solve)

18 = 2x

(simplify)

18 divide 2 = 9

so;

9 = x

Answer:

The number of red pencils is 2 times the number of yellow pencils

Answer:

3.57 mph I think it's 3.57 but if it's not I'm sorry

answer:

in order to construct 75°, you need to use a protractor and a compass

step-by-step explanation:

here is a step-by-step explanation from an online source

Construct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.

Answer:

1) Yes

2)No

3)Yes

Step-by-step explanation:

Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!

Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

To find given lengths form a right triangle or not.

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.

Thus, find out which set of lengths will form a right triangle:

9, 40, 41 will form a right triangle, because:

41² = 40² + 9²

1,681 = 1,681

Also, the rest set of lengths will not form a right triangle.

Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

Learn more about Pythagorean Triple here:

https://brainly.com/question/23470661

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Answer:

The first option being 12/25

Answer:

Yes

Step-by-step explanation:

The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.

Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.

Therefore we can see that they can be proved congruent by the HL Theorem.

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:-x=2

Step-by-step explanation: -3/4x=-24 divide -3/4x for each of the numbers, which is equal to -x=2

Answer:

Step-by-step explanation:

I will not give the answer but the rules are:

90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...

180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...

270 Degree Rotation.

Hope at least that helps.

Given:

The equation is:

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

To find:

The value of a.

Solution:

We have,

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

On simplification, we get

[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]

[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]

On comparing both sides, we get

[tex]6-12a=-18[/tex]

[tex]-12a=-18-6[/tex]

[tex]a=\dfrac{-24}{-12}[/tex]

[tex]a=2[/tex]

And,

[tex]8-3a=2[/tex]

[tex]-3a=2-8[/tex]

[tex]a=\dfrac{-6}{-3}[/tex]

[tex]a=2[/tex]

Therefore, the value of a is 2.

Step-by-step explanation:

24-12x,and 2(12-6x)

hope it helps

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

To know more about volume:

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Answer:

6x^2

Step-by-step explanation:

Answer:

6x²

Step-by-step explanation:

(2x(4 - (6 ÷ 2))) × 3x

(2x(4 - 3)) × 3x

2x(1) × 3x

2x × 3x

6x²

Answer:

[tex]\frac{1}{12^{13}}[/tex] or [tex]12^{-13}[/tex]

Step-by-step explanation:

[tex]\frac{12^{-6} }{12^7} = \frac{\frac{1}{12^6} }{12^7} = \frac{1}{12^{13}} =12^{-13}[/tex]

Answer:

4.181

Step-by-step explanation:

1/3 (3.2×1.4) 2.8

1/3 ( 4.48) 2.8

1/3 (4.48 × 2.8)

1/3 × 12.544

= 4.181