Do the ratios 11/6 and 23/9 form a proportion

Answer:

There are 1680 different ways four letters can be arranged.

Since you are using the permutation formula, plug in the values and solve.

P(n,r) = P(8,4)

= 8! / (8−4)!

= 1680

Spelling out LION is only one of the 1680 possible outcomes. Therefore the fraction 1/1680 would represent this probability.

P(LION) = 1/1680

Answer:

(ab) = 6

Step-by-step explanation:

a = 2 and b = 3

So, (2(3)) or 2 x 3 = 6

Answer:

y = -3x - 6

Step-by-step explanation:

Slope intercept form:

y = mx +b

6x + 2y = -12

       2y = -6x - 12

[tex]\frac{2y}{2}=\frac{-6x}{2} - \frac{12}{2}\\\\ y = -3x - 6[/tex]

Answer:

Step-by-step explanation:

Write in slope-intercept form

y=-3x-6

Answer:

$35

Step-by-step explanation:

[tex]\frac{50}{30}*70=35[/tex]

Answer:

whatever it takes

Step-by-step explanation:

Answer:

x=3 and y=39

Step-by-step explanation:

2y + 3x = 87

y = 6x + 21

2(6x+21) + 3x = 87

12x + 42 + 3x = 87

15x + 42 = 87

15x = 45

x = 3

y = 6(3) + 21

y = 18 + 21

y = 39

Answer:

9xy = 3x . 3y

2xyz = 2x . y . z

4x . 4y = 16xy

Answer:

1, 4, 5.

Step-by-step explanation:

1. 3x * 3y is equal to 9y.

4. 2x * y * z is equal to 2xyz, since the grouped variables mean the same thing as multiplied.

5. 4x * 4y is 16xy, because 4 * 4 is 16 and x * y is xy.

Answer:

1 2/15

Step-by-step explanation:

Also, I plead the 5th

The mixed fraction of  17/15 is  [tex]1\frac{2}{15}[/tex]  .

The given fraction is,

17/15

We have to write 17/15 in mixed fraction,

Since we know that,

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

And a mixed fraction is a fraction made up of a fraction and a full number.

Now applying long division method to find mixed fraction,

15 ) 17 ( 1

   - 15

______

       2

Hence,

17/15 =  [tex]1\frac{2}{15}[/tex]  is the required mixed fraction.

Learn more about the fraction visit:

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Answer:

$15

Step-by-step explanation:

50% = .50

$10 × .50 = 5

10 + 5 = 15

Answer:

0.2 or less

Step-by-step explanation:

since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

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Explanation:

Let's say we had the slots A,B,C,D,E,F. Each slot represents where a flower would go.

For slot A, we have 15 different flowers to pick from.

Then slot B has 15-1 = 14 choices

C has 15-2 = 13 choices

and so on. We count our way down until we fill up slot F.

The count down looks like this: 15, 14, 13, 12, 11, 10

Multiply out those values: 15*14*13*12*11*10 = 3,603,600

If order mattered, then this represents the number of ways to select 6 flowers from a pool of 15 total.

However, order does not matter in this case. All that matters is the group overall.

For any group of 6 items, we have 6! = 6*5*4*3*2*1 = 720 different arrangements. That means the value 3,603,600 is too large exactly by a factor of 720.

We divide by 720 to get to (3,603,600)/720 = 5005 which is the final answer

It's the number of combinations where we select 6 from a pool of 15.

-------------------------------

As you can guess, you could use the nCr combination formula as an alternative route. Plug in n = 15 and r = 6 like so

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{15} C _{6} = \frac{15!}{6!*(15-6)!}\\\\_{15} C _{6} = \frac{15!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10*9!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6*5*4*3*2*1}\\\\_{15} C _{6} = \frac{3,603,600}{720}\\\\_{15} C _{6} = 5005\\\\[/tex]

In the third to last step, notice how we have the 15*14*13*12*11*10 up top and 6*5*4*3*2*1 down below.

This value 5005 can be found in Pascal's Triangle. Look in the row that has 1, 15, ... and count out 7 spaces from the left. You should arrive at 5005. However, you'll need a fairly large Pascal's Triangle to use this method.

Given:

Total number of flower cuts = 15 different flowers

Number of flowers Jeanine Baker wants to use = 6 flowers

To find:

Total number of ways 6 flowers can be chosen

Steps:

In this question, we need to find the total number of outcomes of choosing 6 random flowers from a total of 15 flowers

Let's give each flowers a letter, so there will be A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.

Now let's find all the outcomes

Outcomes= ABCDEF, ABCDEG, ABCDEH, ABCDEI, ABCDEJ, ABCDEK, ABCDEL, ABCDEM, ABCDEN, ABCDEO.....

This method will take a lot of time so, i am going to use the formula

[tex]No.outcomes = \frac{n!}{r!(n-r)!}[/tex]

Here n = total number of items, and r = number of items chosen

Also the '!' means factorial, or the product of all positive numbers less then or equal to the number, so n! = n * (n-1) * (n-2) ..... * 1

So, now substituting the formula

[tex]No.outcomes = \frac{15!}{6! * (n-r)!}[/tex]

[tex]No.outcomes=\frac{15!}{6! * 9!}[/tex]

[tex]No.outcomes = \frac{15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1*9*8*7*6*5*4*3*2*1}[/tex]

[tex]No.outcomes=\frac{15*14*13*12*11*10}{6*5*4*3*2*1}[/tex]          (cutting same numbers)

[tex]No.outcomes = \frac{7*13*3*11*10}{6}[/tex]                 (simplifying)

[tex]No.outcomes = \frac{30030}{6}[/tex]

[tex]No.outcomes=5005[/tex]

Therefore, the total number of ways the 6 flowers can be chosen is 5005 ways

Happy to help :)

If u need help in this topic feel free to ask

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

Answer:

15 cm²

Step-by-step explanation:

5 + 1 + 1 = 7

7 × 5 = 35

5 × 1 = 5

5 + 5 + 5 + 5 = 20

35 - 20 = 15

Answer:

15 sq.cm

Step-by-step explanation:

Length of the shaded rectangle = length of the unshaded rectangle = 5 cm

Breadth of the shaded rectangle = 5 - ( 1 + 1) = 5 - 2 = 3 cm

Area of the shaded rectangle = 5 * 3 = 15 sq.cm

Answer:

32,432,400

Step-by-step explanation:

This you can use a permutation.

P(15,7)15x14x13x12x11x10x9

There are 32,432,400 ways to arrange it.

Answer:

[tex]4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)[/tex]

[tex]4 {x}^{2} - 4 - {x}^{2} + 8x + 5[/tex]

[tex]3 {x}^{2} + 8x + 1[/tex]

Answer:

450cm³

Step-by-step explanation:

area of trapezium = ((A + B)/2 )x h

= ((5+ 7.5) / 2 )x 6 = 37.5

37.5 x 12 = 450  is the volume

Answer:

12 is 85.714285714286% of 14.

Answer:

A = 20

Step-by-step explanation:

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

four times m equals negative eight

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

Answer:

Let's imagine the image of the zoo.

The diameter is basically the length of the circle.

The penguin swam the radius.

To find the radius, we need to divide the diameter by 2.

The diameter is 20 meters.

20 [tex]\div[/tex] 2 = 10 meters.

2 x pi x 10 = 62.83185307

62.83185307/2 = 31.41592654

Answer = 31.41592654

Answer:

The distance through which penguin swim = 10π meters

Step-by-step explanation:

The island is given to be in a shape of circle and the distance around any circle is known as circumference.

The diameter of the island = 20 meters

So, to find the distance traveled by penguin we need to find the circumference or the circular island.

⇒ Circumference = π·diameter

⇒ Circumference = π × 20

                             = 20π meters

Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.

Distance traveled by penguin = 1/2 × 20π = 10π

The distance through which penguin swim = 10π meters

Answer:

1. y = 4/7x +2

2. y = -1/7x +2

3. y = x +2

4. y = 1/7x +2

Answer:

x = 22

Step-by-step explanation:

line AD is 180°

so 40° + (5x + 30°) = 180°

solve for x.

5x = 180-30-40

5x= 110

x = 110/5

x= 22

Answer: 22

180 - 40 = 140

5(22) = 110

110 + 30 = 140

Answer:

B. ∠EYL and ∠AYS

D. ∠SYL and ∠EYA

Step-by-step explanation:

A vertical angles are the pair of angles on the opposite sides of intersecting lines

In the given figure, the pair of intersecting lines are;

Line AYL and line SYE

The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;

From East to West (left to right direction) angles ∠EYL and ∠AYS

From the direction of 'H' ∠SYL and ∠EYA

Therefore, the correct options are;

B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.

Answer:

1.256 million ???