Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?

Answers

Answer 1

Answer:

Gordon: 16 pounds

Henry: 24 pounds

Sarah: 8 pounds

Step-by-step explanation:

Number of parts: 3+2+1 = 6

Amount per part: 48/6 = 8

Now Each person gets:

Gordon: 8 x 2 =  16 pounds

Henry: 8 x 3 = 24 pounds

Sarah:8 x 1= 8 pounds

Hope this helps.

Good Luck

Answer 2

Answer:

Gordon $16

Henry$24

Sarah$8

Step-by-step explanation:

You add the ratio 2+3+1= 6

Then you take everyone ratio according to how their names are arranged over 6 then you get the answer

Gordon2/6×48= 16

Henry3/6×48= 24

Sarah1/6×48= 8


Related Questions

Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?

Answers

Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation

Answers

Answer:

We will add 3 to each side of the equation

Step-by-step explanation:

x^2 − 8x + 13 = 0

We want to complete the square

We will subtract 13 from each side of the equation

x^2 -8x +13 -13 = 0 -13

x^2 -8x = -13

Then take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add this to each side

x^2 -8x +16 = -13+16

( x-4) ^2 = 3

The sum of subtracting 13 and adding 16 is adding 3

Answer:

It is Subtract 3 from both sides of the equation

Step-by-step explanation:

Among fatal plane crashes that occurred during the past 70 ​years, 581 were due to pilot​ error, 56 were due to other human​ error, 579 were due to​ weather, 555 were due to mechanical​ problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing​% Other human error nothing​% Weather nothing​% Mechanical problems nothing​% Sabotage nothing​%

Answers

Answer:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

A town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest while number?

Answers

Answer:

5520 population after 5 years

Step-by-step explanation

5000*1,02^5 = 5520

hope i could help <3

One vertex of a triangle is located at (0,5) on a coordinate
grid. After a transformation, the vertex is located at (5,0).
Which transformations could have taken place? Select
two options.
Ro, 90°
Ro, 180°
Ro, 270°
U
Ro -90°
Ro -180°

Answers

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

The transformations that could have taken place are Ro, 270° and Ro -90°

How to determine the transformations

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

[tex](x,y) \to (y,x)[/tex]

The above rule represent:

90 degrees counterclockwise rotation270 degrees clockwise rotation

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871

can someone please help and explain​

Answers

Answer:

2

Step-by-step explanation:

2 4/5 * 5/7

Change to an improper fraction

(5*2+4)/5 * 5/7

14/5 * 5/7

Canceling the 5's

14/7

2

Answer:

2

Step-by-step explanation:

[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]

Hope this helps!

algebraic fractions and formulae
(help me find Z)
thank you ❤❤​

Answers

Answer:

Step-by-step explanation:

z= y( z-y)/x

z = yz - y^2 /x

zx = yz -y^2

y^2 = yz - zx

y^2 = ( y- x)z

therefore  z = y^2/(y-x)

please mark me as the brainliest

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Answers

Answer:

What? Retype the question below and ill answer it, but this isnt answerable.

Step-by-step explanation:

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Like what kind of language is this ;--;

Does anyone know the answer?

Answers

Answer:

i think it the 2 one

Step-by-step explanation:

What is the value of the expression below when w =2 ? 8w²+8w+9

Answers

Answer:

57

Step-by-step explanation:

Replace the variable with the said number

(8 x (2²))+(8 x 2)+9

Simplify

8 x 4 + 8 x 2 + 9

32 + 16 + 9

Solve

32 + 16 + 9 = 57

Answer:44

Step-by-step explanation:

Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6

Answers

Answer:

[tex]x^{2} -64 = 0\\[/tex]

Step-by-step explanation:

According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

There are 2 1/2 pizzas if each gets an eighth of a pizza how many people get a slice

Answers

Answer:

20.

Step-by-step explanation:

That would be 2 1/2 divided by 1/8

= 5/2 / 1/8

= 5/2 * 8

= 40/2

= 20.

which of the following is equal to the rational expression when x ≠ -4 or 16

Answers

Answer:

A

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

Answer:

A. [tex] \dfrac{x - 4}{x - 16} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]

[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]

[tex] = \dfrac{x - 4}{x - 16} [/tex]

The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

Answers

Step-by-step explanation:

x2+y2+6y+(9-9)=7

x2+y2+6y+9=16

x2+(y+3)2=16

center:(0,-3)

r:4

A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
A.) 1,061.32 in2
B.) 2,122.64 in2
C.) 2,704.00 in2
D.) 3,622.31 in2

Answers

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

Answer:

B

Step-by-step explanation:

2,122.64 in2

Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.​

Answers

Answer:

range = 21 Kg

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set

largest value = 43 Kg and smallest value = 22 Kg, thus

range = 43 - 22 = 21 Kg

[tex]answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Answers

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

To learn more about the graph visit:

https://brainly.com/question/16847434

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Which side of AABC is the longest?

Answers

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Yup! Option B is correct

Explanation:
From B to C the line is slanted making it look more longer than the rest!

Which type of triangles can be formed by taking the cross-section of a cube?

Answers

Answer:

2 Right Angled Triangles

Step-by-step explanation:

Please answer correctly !!!!!!! Will mark brainliest

Answers

Answer:

option 1

Step-by-step explanation:

y = 3x + 3   ie       3x -y +3 =0     a1= 3  , b1=-1  ,  c1=3

y = -2x + 3   ie      -2x -y+3 = 0    a2=-2 , b2=-1 , c2=3

on comparing the ratios ,

a1/a2 = 3/2

b1/b2 = -1/-1= 1/1 =1/1= 1

a1/a2 ≠ b1/b2

therefore the pair of linear equations will have exactly one solution

mark me as the brainliest...

Answer:

A

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

The sum of two numbers which are in the ratio 5:7 is 48. Find the smaller number

Answers

Step-by-step explanation:

5+7=12

5/12×48 7/12×48

=20 =28

I don't say you have to mark my ans as brainliest but if my ans has really helped u pz dpn't forget to thank me....

p + 0.20p as an equivalent expression

Answers

Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The missing is 7

7 x (6 + 5) - (7 x 6) + (7 x 5)

hope it helps!!!!! :]

Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?

Answers

Answer:

41 miles

Step-by-step explanation:

30+10+1=41

filler

filler

filler

filler

He traveled a total of 41 miles

Al mediodía me he comido la mitad de una tortilla de patatas. A la hora de la merienda, Ana ha tomado un tercio de la tortilla original, y para cenar, Luis se ha tomado tres cuartas partes de lo que quedaba. ¿Qué fracción de la tortilla queda al final del día?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

La mitad es 1/2 y un tercio es 1/3. Como una persona se comió 1/2 y Ana 1/3, puedes determinar lo que se comieron sumando:

[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]=[tex]\frac{3+2}{6}[/tex]=[tex]\frac{5}{6}[/tex]

Como se comieron 5/6, puedes restar esto de 6/6 para determinar cuanto quedó de la tortilla:

[tex]\frac{6}{6}-\frac{5}{6}= \frac{6-5}{6} =\frac{1}{6}[/tex]

De acuerdo a esto, quedó 1/6 de la tortilla. Luis tomó tres cuartas partes de lo que quedaba, lo que significa que quedó 1/4 de 1/6. Para encontrar la fracción de la tortilla que quedó puedes dividir 1/6 entre cuatro para saber a cuanto corresponde una cuarta parte de 1/6:

[tex]\frac{1}{6}[/tex]÷4= [tex]\frac{1/6}{4}= \frac{1}{6*4}=\frac{1}{24}[/tex]

De acuerdo a esto, la fracción de la tortilla que quedó al final del día es [tex]\frac{1}{24}[/tex].

A closed cylinder has a radius of 3cm and height 7 cm. find its total surface area.​

Answers

The total surface area of the cylinder is 188.4 cm².

Given that, the radius of the cylinder=3 cm and the height of the cylinder=7 cm.

We need to find the total surface area of the cylinder.

What is the formula to find the total surface area of the cylinder?

The formula for the total surface area of a given cylinder whose radius is r and height is h is 2πr (h + r).

Now, 2×3.14×3(7+3)=188.4 cm².

Therefore, the total surface area of the cylinder is 188.4 cm².

To learn more about the total surface area of the cylinder visit:

https://brainly.com/question/13952059.

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What are the domain and range of the function

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me my frnd..

__________________________________

Hey!!!!!!

Domain and Range

Let R be a relation from A to B.

Then, the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the Range.

For example:

If R:(A,B)={(1,1), (2,4), (3,9)} then,

Domain={1,2,3}

Range={1,4,9}

Hope it helps...

Good luck on your assignment.........

Stay Safe......

__________________________________

1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.

______


2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.

______

Answers

Answer:

1. (2, -9) 2. (10, 10)

Step-by-step explanation:

ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.

Answers

Answer: .98 feet

Step-by-step explanation: Took the test

Answer:

.98

Step-by-step explanation:

i took the quiz

Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box.​ Part B How much water, in liters, does Tanya buy? ​Enter your answer in the box.​

Answers

Answer:

A- 12,000ml

B- 12l

Step-by-step explanation:

To find milliliters:

1.5l = 1500ml

300(5) + 1500(7) = (1500 + 10500 =) 12,000ml

To find liters:

300 ml = 0.3l

0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L

Hope this helps!

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