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?

Answers

Answer 1

Answer:

brother gets 6 cards

sister gets 3 cards

he gets 15 cards

Step-by-step explanation:

this can be rewritten as

2x + x + 5x = 24

combine like terms

8x = 24

divide both sides by 8

x = 24/8

x = 3

now, multiply x by each part of the ratio.

his brother = 2 * 3 = 6

his sister = 1 * 3 = 3

himself = 5 * 3 = 15


Related Questions

find the slope of the line below. into your answer as a fraction or a decimal. use a slash mark (/) as the function bar if necessary.​

Answers

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]

For this function, find each of the following

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

f(x)=-2|3x+5|-2

I will mark it as the brainiest

Answers

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


8.A golfer swings a club about a pivot point. If the head of the club travels a distance of 26 feet and rotates through an angle of 5 radians, which of the following gives the distance the club head is from the pivot point?

Answers

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

What is a circle?

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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△JLK∼△PQR. Find the value of x.


Answers

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

What is x in this figure?

Answers

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:

3
x < -5
x + 4
f(x) =
x2 – 3x, -5 x4 – 7,
x > 0
Find f(-2)
f(-2) =
P

Answers

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

What is the image point of (1,-2)(1,−2) after a translation right 4 units and down 4 units?

Answers

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)

1/h-5 + 2/h+5 = 16/h²-25

Answers

Hopefully this what you looking for

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 1.2

Answers

this is the answer :

these numbers form an addition and subtraction fact family choose the fact family formed by these numbers 6,7,13 what is the fact family of that number​

Answers

Answer:

7 + 6 = 13

13 = 7 + 6

13 – 6 = 7

7 = 13 – 6

Step-by-step explanation:

Please show all work!

Artichokes were on sale. Five of them cost $1. At this rate, what would be the price for a dozen artichokes?
Group of answer choices

$2.52

$2.50

$2.40

Answers

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

PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Write down 3 examples of a number that is both divisible by 6 and has the same last digit as 4^n. N is any integer of your choice above 1000

Answers

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.

In the year 2000, the height of an apple tree was
150 centimeters. In the year 2020, the same tree has
grown to 270 centimeters. What was the average rate
of change in the height of the tree from 2000 to 2020?
In other words: On average, how fast was the tree
growing? Include units.

Answers

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

Write theses as normal numbers

Answers

Answer:

0.000000072,0.00000000630.00004540.0000000007041

what is the product of 6-1/2 and 9-1/4 pls hurry on a timer will give brainles lpslsplspslspslspslspslspslspslspslspspslspslspslspslspslspslspslspslspslspslpslspsl

Answers

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

Ann borrowed $6000 from the bank for 5 years at 12% rate. How much does she owe the bank? I need your help PLEASE!!!

Answers

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

Slove for YZ
Show all work

Answers

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]

~

For what values of a are the following expressions true?
1. |a-5|=5-a
2.|a|=-a

Answers

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.

Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.

Answers

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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Help please! 10 points

Answers

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...

What is the equation of the given line?


y = –3


x = –3


y = –3x


x = 3

Answers

Answer:

y = -3

Step-by-step explanation:

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

Answer the question below each diagram
OD
a. 8+}
.
in ad
be
How many thirds?

Answers

Answer:.

Step-by-step explanation:

a side of an equlateral triangle is 2/8 cm long. draw a picture that shows the triangle. what is the perimeter of the triangle?

Answers

Answer:

4/16 cm

Step-by-step explanation:

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

Priya is mixing drops of food coloring to create purple frosting for a cake she uses 24 drops of red dye and 16 drops of blue dye find the ratio of drops of red dye to total drops of dye

Answers

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.

What is Ratio?

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

To know more about Ratio

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Please help asap! I will gave brainlest!

Answers

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]

Answer:

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

Step-by-step explanation:

[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

:)

I’ve been bad at math since Elementary, this is my last year of high school and I have to do it virtually with the no teacher. It’s hard for me right now, but I need to pass my last year. If anyone ones anything about odyssey ware or another website where people help each other please tell me~! I need all the help and prayers I can get this year. Thank you in advance~ ♡

Answers

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:

Which of the figures shown above has the greater volume? Please show ALL of your work.

Answers

the diameter for the circle is larger, hence it has the greater volume?

Question 2.2 write down the general formula for the nth term of sequence. Mystic Rose

Answers

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:

Last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639. Use a percentage to express the relative change. Use the second given value as the reference value. The relative difference between February of 1999 and last February is -13%. What % decrease in the number of scheduled passenger flights from February of 1999 to last February?

Answers

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

Percentages

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:

709639 = 100617624 = X617624 x 100 / 709639 = X61762400 / 709639 = X87.03 = X100 - 87.03 = X12.97 = X

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

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Will Give Brainliest: Quadratic Equations: 8th Grade Algebra
I need the axis of symmetry, the coordinates of the vertex, and whether the vertex is a minimum or maximum for the following three quadratic equations.
1. [tex]2x^2-8x+7[/tex]
2. [tex]y=-2x^2+3x-5[/tex]
3. [tex]y=4x+2x^2-5[/tex]

Answers

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

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At the beginning of the summer, the water level of a pond is 2 feet below its normal level. After an unusually dry summer, the water level of the pond dropped another 1 1/3 feet. Write an equation to show how far above or below the normal water level the pond is at the end of the summer. Does anyone know how to do this Please help thanks !!:) I APPRECIATE THE HELP!!I will give BRAINLIEST!! will give brainySusie asks you for investment advice as she's not sure if she should invest in a Roth IRA or a Traditional IRA. She has a great job now and expects to have lower earnings and a lower marginal tax rate once she retires. Which would you recommend and why? Study the artwork. What does this artwork reveal about the Hopewell culture?They traded for artwork because they could not produce it.They used carvings of birds for money.They valued decorating items with images that were important to them.They valued useful items more than decorative objects. PLEASE HELP ME!Which is a solution of the inequality x + 2 Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. Suppose that 17 inches of wire costs 51 cents. At the same rate, how much (in cents) will 54 inches of wire cost? Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.The height ofthe s maller containeris 4.5cm.Calculate the height of the larger container. inspiracin de pablo santis argumento in circle C, QP and QR are tangent segments and m The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.100 POINTSslope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis y=Cx2 x=Cy2 x2 y2 = C2 x2 + y2 = C2 Let f(x)=x24 and g(x)=7x. Perform the composition or operation indicated.(fg)(8) what does FEA for digital technology mean? thanks for your time!! a) Work out the value of angle x.OX =b) Give reasons for your answer.I need help with questions B guys please.I tried many reasons but it is not working The variables y and x have a proportional relationship, and y = 7 when x = 2.What is the value of x when y = 21?Enter your answer in the box.x = Two ways to report the amount of elements is to give the percentage by number and percentage by mass. When reporting the composition of the sun by mass percentage, the amount of hydrogen drops, but the amount of helium grows. Why? 1Caleb finishes breakfast at 7:15 AM. Tellwhat time he started breakfast if it tookthe given number of minutes.a. 10 minutesb. 15 minutesC. 20 minutesd. 25 minutese. 26 minutes Name a place in the world that Sunni and Shiite muslims get along: Why are tigers killed Or Why are they endangered? No copied answersBest answer will be marked brainliest and spam will be reported