Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5.
How many cards does each get?

Answer:

24:40

Step-by-step explanation:

To find the radio for red dye to total drops of dye, just add the red and blue dye.

The ratio of drops of red dye to total drops of dye is 3:2.

When a number is divisible by another number, then it can be written in the form of a:b, this is called Ratio.

Priya is making frosting.

The number of drops of blue dye is 16.

The number of drops of red dye is 24.

Ratio ( Red dye : Blue dye) = 24 : 16

Ratio ( Red dye : Blue dye) = 3:2

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Step-by-step explanation:

I know that

[tex] \cot {}^{2} (x) + 1 = \csc {}^{2} (x) [/tex]

So These the steps I need to do:

First Apply Reciprocal Identies to find Cot x.

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So cot x is

[tex] \frac{24}{7} [/tex]

Now, I can squared that result and add 1 to get csc^2(x).

[tex] \frac{576}{49} + 1 = \frac{576}{49} + \frac{49}{49} = \frac{625}{49} [/tex]

Now, I take the principal square root since csc is positve when theta is in the 1st quadrant.

[tex] \frac{ \sqrt{625} }{ \sqrt{49} } = \frac{25}{7} [/tex]

So

[tex] \csc(x) = \frac{25}{7} [/tex]

[tex]cosec{\theta=\frac{25}{7}is\ the\ answer.}[/tex]

[tex]If\ tan\ \theta=\frac{7}{24},0\ degrees < \theta < 90\ degrees[/tex]

[tex]sec\ \theta=\sqrt{1+\tan^2\theta}=\sqrt{1+\frac{49}{576}}=\sqrt{\frac{625}{576}}=\frac{25}{24}[/tex]

[tex]cos\ \theta=\frac{1}{sec\ \theta}=\frac{24}{25}[/tex]

[tex]sin\ \theta=\sqrt{1-\cos^2\theta}=\sqrt{1-(\frac{24}{25})^2}=\sqrt{\frac{49}{625}}=\frac{7}{25}[/tex]

[tex]cosec\ \theta=\frac{1}{sin\ \theta}=\frac{25}{7}[/tex]

[tex]Hence,\ cosec\ \theta=\frac{25}{7}is\ the\ answer.[/tex]

I hope this helps you

:)

Answer:

[tex]m = \frac{4}{5} = 0.8[/tex]

Step-by-step explanation:

[tex]m = \frac{5 + 3}{6 + 4} = \frac{8}{10} = \frac{4}{5} [/tex]

Answer: I don’t know much but I still know some! If you ever need help reply to this comment please

Step-by-step explanation:

The % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

Given that last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639, to determine the % decrease in the number of scheduled passenger flights from February of 1999 to last February, the following calculation must be made:

Therefore, the % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

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Answer:

The nth term of an arithmetic sequence is given by. an = a + (n – 1)

Answer:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

Step-by-step explanation:

Answer:

(-3, 2)

Step-by-step explanation:

If we are dealing with vertical movement up/down, we manipulate the x-axis.

If we are dealing with horizontal movement left/right, we manipulate the y-axis.

We are trying to move the point right 4 units (horizontal movement) and down 4 units (vertical movement).

(1, -2) → (1 - 4, -2 + 4) → (-3, 2)

Answer:

7 + 6 = 13

13 = 7 + 6

13 – 6 = 7

7 = 13 – 6

Step-by-step explanation:

Answer:

the answer to your question △JLK∼△PQR. Find the value of x. is 30 the value of x is 30

Step-by-step explanation:

Sincerely a 13 year old

Answer:

$2.40

Step-by-step explanation:

as five of artichokes caused $1, a dozen is the same number as 12, so use cross multiply and you will get the answer $2.40

cross multiply : 5 artichokes = $1

12 artichokes = x

5x = $1 x $12

5x = $12

x = 12/5

x = $2.40

Answer: x=36

Assuming that O is the centre of the circle,

108+a+a=180(sum of the interior angles of a triangle is 180)

2a=180-108

2a=72

a=72÷2

a=36

a=x (angles in the same segment are equal)

Therefore x=36

Step-by-step explanation:

Answer:

(270+150)/(2020-2000)= 21 - average rate of change in the height per year

Answer:

I think to get the average rate you subtract 150 from 270 centimetres you'll get 120 centimetres then subtract 2000 from 2020 to get 20 now to get the rate divide 120cm by 20 and you will get six so the rate is 6 cm per year

Answer:

y = -3

Step-by-step explanation:

it crosses the y axis at -3. Also, it's horizontal so the slope is zero.

Answer:

Axis of symmetry:

1. x=2

2. x=3/4

3. x=-1

Vertex:

1. (2,-1)

2. (3/4, -31/8)

3. (-1,-7)

Vertex min/max:

1. Minimum

2. Maximum

3. Minimum

Answer:

Answer:

74 degrees

Step-by-step explanation:

sin(Ф) = O/H

sin(Ф) = 24/25

Ф = [tex]sin^-^1(24/25)\\[/tex]

Ф = 73.7397...

If radius, r = 5in., then we can compute that the area of the circle = 78.55in² or approximately 79in².

Using the formula, Area of Circle = πr²

It is given in the question, r = 5in and as we know that the value of π = 3.142 

Now, putting the values from above in the formula of area of circle, we will get:

A = π × 5² = 3.142 × 25 = 78.55

= 79in² (to the nearest whole number).

The space a circle takes up in a two-dimensional plane is known as its area. Alternately, the area of a circle is the area contained within the circumference or boundary of the circle. The sum of the square units inside that circle is another name for it.

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Answer: 10

Step-by-step explanation:

Since -2 is in between -5 and 0, we will use the part of the function that says f(x)=x^2 + 3x.

Substituting x=-2, we get (-2)^2 -3(-2)=4+6=10

Answer:

31/2

Step-by-step explanation:

Answer:

60 1/8

Step-by-step explanation:

6 1/2 * 9 1/4 =

= 13/2 * 37/4

= (13 * 37)/(2 * 4)

= 481/8

= 60 1/8

Answer:

Anna owes $3600 to the bank

Step-by-step explanation:

12/100 * 6000 = 720 * 5 years

= $3600

Hence Anna owes $3600 to the bank

Answer:

F=3-53-5=-12-t-2-54-

Step-by-step explanation:

Answer:

a. -6

b. -12

c. -30

Step-by-step explanation:

a. f(-1)                                b. f(0)                              c. f(3)

f(-1)=- 2|3× -1 +5| -2          f(0)= -2|3× 0 +5| -2          f(3)= -2|3× 3 +5| -2

f= -2|-3+5|-2                     f= -2|0+5| -2                    f= -2|9 +5| -2

f= -2|2|-2                          f= -2|5| -2                         f= -2|14| -2          

f= -4-2                              f= -10-2                             f= -28 -2

f= -6                                 f= -12                                 f= -30

Answer:

1. a = 0 and 5

2. no solutions

Step-by-step explanation:

For absolute value, it's the distance from that number on the number line to 0, so it has to be positive. We define absolute value as when |a| = b, a = b and a = -b.

1. |a - 5| = 5 - a

a - 5 = 5 - a

2a = 10

a = 5

AND

a - 5 = -(5 - a)

a - 5 = -5 + a

-5 = -5

a = 0 (a could work as 0 in this scenario)

Thus our solutions are a = 0 and 5.

2. |a| = -1

Now we have to catch ourselves here. Since absolute value is always positive, nothing works. There is no negative distance to 0 (at least in real numbers).  Hence, we can say that there are no solutions.

Answer:

Step-by-step explanation:

if n is a positive integer then 4^n has last digit 4 or 6

we choose any number having 4 digits whose sum is divisible by 3 and last digit is 4 or 6.

1014,1026,1104 etc.

Answer: 34

Step-by-step explanation:

Answer:

YZ=34

Step-by-step explanation:

[tex]xy(xz)=xw(xv)\\\\6(2x+12+6)=10(x+3+10)\\\\6(2x+18)=10(x+13)\\\\12x+708=10x+130\\\\12x-10x=130-108\\\\\cfrac{2x}{2} =\cfrac{22}{2} \\\\x=11[/tex]

[tex]yz=2x+12\\\\2(11)+12\\\\22+12\\\\yz=34[/tex]

~

The distance the club head is from the pivot point is about 5.2 feet.

A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.

Let r represent the radius of the circle, that is the distance the club head is from the pivot point. Hence:

Length of arc = angle in radians * radius

26 = 5r

r = 5.2 feet

The distance the club head is from the pivot point is about 5.2 feet.

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Answer:

4/16 cm

Step-by-step explanation:

I just did the test and i got it right yourwelcome bye

Answer:.

Step-by-step explanation: