(a) Anne, Barry and Colin share a prize in the ratio 3:4:5.
Colin gives 1/3 of his share to a charity.
What fraction of the whole prize does Colin give to the charity

Answers

Answer 1

Answer: 1/12

Step-by-step explanation:

1. Add up the 3 parts making 12

3:4:5 = 3+4+5=12

2. Out of the ratio we know that Colin gets 5 parts which is 5/12

3. If we subtract 5/12 from 1/3 we should get an answer of 1/12

5/12-1/3 =1/12


Related Questions

If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?

Answers

Answer:

[tex]a=\dfrac{4x-7}{x}[/tex]

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

[tex]a=\dfrac{4x-7}{x}[/tex]

So, the value of a is equal to [tex]\dfrac{4x-7}{x}[/tex].

19 The manager of the sporting-goods store
raises the price of a basketball from $16.80
to $18.90. What is the percent of change?

Answers

Answer:

12.5%

Step-by-step explanation:

% of change = the difference between the new price and the old price ÷ the old price × 100

=> % of change = (18.9 - 16.8) ÷ 16.8 × 100 = 12.5

=> The ans will be 12.5%

SOMEONE PLEASE HELP!!
52 miles is the same as how many kilometers?
Hint: 1 mi ≈ 1.6 km
Round your answer to the nearest tenth.

Answers

Answer:

21

Step-by-step explanation:

Answer:

its 83.6859 km but simplified it would be 84 km

Step-by-step explanation:

Write the equation for each line in slope-intercept form. Then identify the slope and the y-intercept.
Please help if you can and please don't put any links as an "answer", it's already happened to me 3 times already.

Answers

1)
y=-4x+7
-4
7

2)
y=2/3x-3
2/3
-3

3)
y=5x-3/2
5
-3/2

4)
y=-1/2x+4
-1/2
4

I hope this helps :)
Lmk if you need any explanations

Answer:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

Simplify: (6 + 2iX6 - 21)

Answers

If simplify it would be -15 + 12i

Answer:

If the X in the middle is shown as multiplication, then the answer is -15 + 12i

EQUATION: (6 + 2iX6 - 21)

STEP 1:

SPLIT UP THE COMMON FACTORS

a. 6 - 21 b. (2i X 6)

STEP 2:

SOLVE AS SHOWN

a. 6 - 21 = -15 b. 12i

STEP 3:

ADD EVERYTHING TOGETHER

= -15 + 12i

This is not a math question ofc... but I want to know if y’all guys like anime?
1.Yes
2.No
3.why.....

Answers

Yeah I like animes because i find quite a few diverse storylines that i dont find in the rest of cinema.

UM YES! My favorite is Attack On Titans

The library had 202 shelves of books. Each shelf had 14 books. Librarians checked out 907 books to students. How many books does the library have remaining? PLZ WORTH 25 POINTS

Answers

Answer:

1921 books remaining.

Step-by-step explanation:

This library is fairly organized, so each shelf only has 14 books. Now with 202 shelves, we multiple the shelves by the amount of books per shelf.

202x14=2,828

Now, with 2828 books in the library before being checked out, we need to find out how many books left after the students came.

2828-907=1,921

The answer is 1,921 books remaining.

Hope this helps!

John went out to eat with his family. The bill was $84. His mom wants to
leave a 20% tip. What is the total his mom has to pay the restaurant?
Explain how you found your answer.

Answers

16.8

Step-by-step explanation:

multiply the normal price $84 by 20 then divide it by one hundred. So, the discount is equal to $16.8

HELP ITS IMPORTANT!!!!

Answers

Answer:

its b

Step-by-step explanation:

The measure of an arc intercepted by an inscribed angle is 130 degree. What is the measure of the inscribed angle?

Answers

Answer:

Step-by-step explanation:

Inscribed angle = 130°/2 = 65°

Simplify the ratio 300m:2km

Answers

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

Answer:

3 : 20

Step-by-step explanation:

2km = 2000

Ratio:

300 : 2000 =

150 : 1000 =

75 : 500 =

15 : 100 =

3 : 20

The parabola is swached vertically by a factor of 5.

Answers

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

Find the sum of 7x + 3 and 4x2 -5.​

Answers

Answer:

[tex]4x^2+7x-2[/tex]

Step-by-step explanation:

group like terms: [tex]4x^2+7x+3-5[/tex]

subtract 5 from 3: 3-5=-2

[tex]4x^2+7x-2[/tex]

Barry the Beaver gnaws his way through a circular section of wood. The sector has a radius of 5.90 m and central angle 85.3°. What is the area of this section of wood?

Answers

Answer:

25.899sq.metres

Step-by-step explanation:

Area of this section of wood = Area of the sector

Area of the sector = theta/360 * πr²

r is the radius

theta is the central angle

Substitute

Area of the sector = 85.3/360 * πr²

Area of the sector = 85.3/360 * 3.14(5.90)²

Area of the sector = 85.3/360 * 109.3034

Area of the sector = 9,323.58002/360

Area of the sector = 25.899

Hence the area of the section of wood  is 25.899sq.metres

help if correct will give brainiest

Answers

Answer:

x

Step-by-step explanation:

Answer:

the answer is Z all you have to do is move it left 4 times and then up 6 times

There about fifteen hundred players in the nfl in a survey of a random sample of 50 players three players were hurt how many players in the nfl would be excpected to get hurt

Answers

Answer: 90 players.

Step-by-step explanation:

Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.

Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:

= 3/50 × 1500

= 90

What is the area of the trapezoid ?

Answers

(A+b)/2 * H = (3.2+7.5)/2 * 4.6 = 24.61
Answer = 24.61

solve the system below.

options:
a. (1,-4)
b. (-4,1)
c. (-1,5)
d. (-1,4)

Answers

Answer:

1 and - 4is the correct answer

PLEASE HELPPPP
Find the area of the shaded region of the square, with side length 2x - 3, if each of
the ovals has an area of x – 5 square inches.

Answers

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

Create an equation that models the total number of calories Jonathan consumes,y,based on number of biscuits he eats,x,and the 6 packages of pemmican

Answers

An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

x = number of buiscuits Jonathan eastsy = number of calories Jonathan consumes6 = number of packages of pemmican that jonathan consumes.

Let we take:

m = number of calories per buiscuit that Jonathan eats.

Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.

Let k = number of calories per package of pemmican, then:

for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.

Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.

or, we get:

[tex]y = mx + 6k[/tex]

Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

Learn more about forming equations here:

https://brainly.com/question/11938672

PLS ANSWER!!! I REALLY NEED AN ANSWER TO THIS ASAP!!!

Examine the two-step equation.


− 7/4 + x/4 = 2


Which property of operations allows you to add the same constant term to both sides?


-multiplication property of equality


-division property of equality


-addition property of equality


-subtraction property of equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

In the diagram, m ABC = 90° and the ratio x: y = 2 : 3 . Find the value of the larger angle.

Answers

Answer: 54

Total = 90

x : y = 2: 3

5p = 90

1p= 90/5= 18

Larger Angle= =18*3= 54

Write a congruence statement for the pair of triangles. Name the postulate it theorem that justifies your statement.

Answers

Answer:

B

Step-by-step explanation:

Determine the period of the following graph.

Answers

Answer:

Step-by-step explanation:

period = 3π

if you answer this question i will give brainliest

Answers

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

Determine the equation of the circle graphed below.

Answers

Answer:

(x + 5)² + (y - 1)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 1) and r = 2, then

(x - (- 5))² + (y - 1)² = 2² , that is

(x + 5)² + (y - 1)² = 4

Answer:

Step-by-step explanation:

hello  :

hello:

note :   an equatin for the circle is : (x-a)²+(y-b)²=r²

when the center is the point : C(a , b) and the  radius  r

use this graph : given two points in this circle  A(-3,1) and B(-7,1)

1) AB/2 = r = 4/2 = 2

2) the midipoint for the segment AB is the center C

a = (-3-7)/2     and  b = (1+1)/2

a= -5   and b= 1  so : C(-5 , 1)

an equation is :  (x+5)²+(y-1)²=2²

Rate this 1-10
PLEASE BE HONEST

When I think of you happiness hits me
It did until you played my heart the wrong way at least
But nah that's alright I will deal with you.
I feel du.mb for allowing you to do this to me
I get sad, mad, depressed, and pis.sed everytime
I no longer want you, you hurt me I hurt you
Never again will I make this mistake
Good job making a happy guy mad
This is why I dont trust girls with my heart
So dont break me next time we guys are fragile
If you dont think so do this to another guy
I will not allow you to be like this ever again
Dont play with me next time
But this will not bother me because I dont care
I am going to my old ways of barely any emotions
I wont let this get to me, Good bye my queen

Answers

I’m gonna give it a solid 9/10

Answer:wow

Step-by-step explanation:

This is honestly amazing 10/10

Tressa is traveling by boat from Texas to Florida and she creates a function f(t)= 20t + 15 to show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed. Which of the following represents the distance the boat has traveled from its original position? please I need help with this

Answers

Answer:

20t

Step-by-step explanation:

15 is where the boat started so 20t is how much the boat traveled from the origional position of 15

The 20t distance the boat has traveled from its original position.

Given that,

She creates a function f(t)= 20t + 15,

To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.

We have to determine,

Which of the following represents the distance the boat has traveled from its original position.

According to the question,

She creates a function f(t)= 20t + 15 .

To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.

Then,

Her mom’s house in Texas after (t) hours have passed.

The 15 is where the boat started

And 20t is the boat traveled from the original position of 15.

Hence, The 20t distance the boat has traveled from its original position.

To know more about Motion click the link given below.

https://brainly.com/question/25129327

find the area of the figure. use 3.14 for pi

Answers

Answer:

100

Step-by-step explanation:

14-12=2

10-6=4

4x2=8

divid it by 2 cos itza triangl

8/2=4

the smallr square

4x4=16

biggr square

10x8=80

4+16+80=100

Answer:

answer =100 ft²

Step-by-step explanation:

......hope it helps

in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if there are 942 students in the school predict how many bring their lunch to school each day​

Answers

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

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