£580 is divided between Sushil, Fiona & Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much as Pip. How much does Fiona get?

Answers

Answer 1

Answer:

Fiona gets £ 174

Step-by-step explanation:

Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:

Amount Sushil gets is : "x"

Amount Fiona gets is : "y"

Amount Pip gets is : "z"

Now we write three equations based on the information we have:

1) the addition of all these amounts should equal the 580 total:

x + y + z = 580

2) Sushil (x) gets twice as much as Fiona (y):

x = 2 y

3) Fiona (y) gets three times as much as Pip (z):

y = 3 z

So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:

Replace every instance of "y" with "3 z":

Equation 2 can give then "x" in terms of "z" as well:

x = 2 y = 2 (3 z) = 6 z

Then Eq 1 becomes:

6 z + 3 z + z = 580

10 z = 580

and therefore:

z = £ 58

Now Fiona's amount (y) is "3 times z", therefore:

y = 3 * 58 = £ 174


Related Questions

"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes

Answers

Step-by-step explanation:

A square prism is a cube. The equation that represents the volume of a cube is:

length*width*height

or, in your case, b*b*h

If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.

How many fourths are in 2?

Answers

I think there’s 2 fourths in 2 , I tried my best

Answer:

2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Step-by-step explanation:

PLEASE HELP ME. Really need help


Find the features of the line 4y-3x = 108.

find:

x intercept

y-intercept

Answers

x intercept(y=0)

4y-3x=108

4×0-3x=108

-3x=108

x=108/-3

x=-36

y intercept(x=0)

4y-3×0=108

4y=108

y=108/4

y=27

pls help plsplsplsplsplsplspspslpssplsplsplspslpslpslsplspsps

Answers

Answer:

Option A, Option C, Option E

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]

Answer ASAP, please!!!! Will mark brainliest!!! 25 points!!!!!
A vendor pays a rock band 13 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?

Answers

1/3 of the profits is $1632 * 1/3 which would equal, $544

so 726- 544= $182 sweatshirt sales

but we're looking for 1/3 of sweatshirt sales, so

3 * 182 = $546 and that's your answer

Answer:

"ill get back to you on that lol"

Step-by-step explanation:

I have a test in 2 days please do quickly!!! What is a ratio???!!??

Answers

Answer:

A ratio is when 2 values that come from related things are compared in the form of x:y

Answer:

comparison between things

Step-by-step explanation:

for example:

16 girls and 8 boys in a class room

the ratio would be 2:1 (girls:boys)

Paloma ran 33/4
miles around the school track. If each lap is 1/2
mile, how many laps did she run?


Explain how to find the answer.

Answers

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

What are the measures of interior angle a and exterior angle b?
a=____
b=____

*20 points*

Answers

Answer:

a = 180 - 92 - 27=61

b = 92 + 27= 119

Step-by-step explanation:

Answer:

Interior Angle A = 180 - (27 +92)

= 180 - (119)

= 61 degrees

Exterior Angle B = 180 - 61

= 119 degrees

Pleeaaase hellllppppp…………………

Answers

Answer:

C, 1/10 c^3d^4

Remove the cubic root operation by raising all the terms by 1/3

1/100^1/3 c^9^1/3 a^12^1/3

Simplify:

1/10c^3a^4

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

Answers

Answer is   6

=========================================================

How to get this answer:

Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.

So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.

Through similar steps, we see that g(5) = -5

Therefore,

4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6

8y⁷÷4y⁵ what is this answer ​

Answers

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

Answer: [tex]2y^{2}[/tex]

Step-by-step explanation:

8/4=2

[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]

so the answer is 2y^2

How do outliers affect data analysis? A.They may significantly affect the mean of the data. B.Not enough information. I would need to know what the data points are. C.They afect the mode of the data. D.They do not, just calculate them with the data the same as all the other data. PLEASE HELPPP!!!!!!

Answers

Answer:

A.They may significantly affect the mean of the data.

Step-by-step explanation:

The outliers may significantly affect the mean of the data.

What is outlier?

The extreme values in the data are called outliers.  

Example: For a data set containing  2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.

In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.

The outliers are a part of the group but are far away from the other members of the group.

For example:

Consider the data:  70, 73, 77, 71, 7, 73, 72, and 78

Let's calculate the mean to understand how the outlier affects the results.

Here, the datapoint 7, is an outlier.

Mean (with outlier)

=70+73+77+71+7+73+72+78/8

=521/8

=65.1

Mean (without an outlier)  = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.

the outlier creates a variation in the mean value of the data.

As, from the example discussed above we have seen that outliers depends on mean of the data.

Hence, outliers may significantly affect the mean of the data.

Learn more about outliers here:

https://brainly.com/question/26958242

#SPJ5

the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm

Answers

Answer:

105.4

Step-by-step explanation:

I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4

The surface area is 105.4 square centimeters.

What is surface area?

A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.

what are surface area examples?

The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.

Learn more about the surface area here https://brainly.com/question/76387

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if c=12 and d=9 , what is 82-4c+d​

Answers

Answer:

43

Step-by-step explanation:

multiply 4 x c(12)=48

then just plug it in and solve

82-48=34

34+9=43

A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?

Answers

The answer is 1hr11min30sec or 71.5 mn
_60% more than 27.5 is 44 using %increase formula : %increase=(final-initial)/initial
_in this case we have increased % and initial, hence we can find final value.
_finally : 44+27.5=71.5mn

If the diameter of a circle is 7 inches,
which is closest to the circumference?
F 21.98 in.
G 38.47 in.
H 43.96 in.
J 153.86 in.

Answers

Answer: 21.98 inches

Work Shown:

Circumference = pi*diameter

Circumference = 3.14*7

Circumference = 21.98 inches approximately

This is approximate since pi = 3.14 is approximate.

tell whether the red figure is a translation or rotation of a black figure​

Answers

Answer:

The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.

Answer:

translation

see below

Step-by-step explanation:

translation because it didn't change direction of the figure

translation is sliding down or up rotation is moving in circle

Which of the following is Th e equation of the boundary line shown in the following inequality?


a. y = -x + 3/5

b. y= -x + 5/3

c. y= 3/5x - 1

d. y= 5/3x - 1

Answers

Answer:

The answer is C.

Step-by-step explanation:

Mark me brainiiest.✌✌

*I will give you brainliest* Just give me the answer no explanation is needed , thank you :).

Answers

Answer: True

Step-by-step explanation:

The temeprature is solely reliant on time, meaning its a function of time

Please help


AOB = ?

BOC = ?

BOD = ?

Answers

From the diagram, we know that it is an angle that adds up to 360

So

x+4x+2x+10+5x+50=360


Gather like terms

12x+60=360

Move sixty to the other side as a negative number

12x=300

Divide both sirs by twelve

x is equal to 25

AOB is 2x+10

Sub x in 2*25+10

AOB is 60

BOC is 5x+50

5*25+50, which is 175

BOD is x+2x+10

Which is 3x+10

Sub x

3*25+10 which is 85

:)

Answer: in between a and b it could be 12x

in between b and c it could be 55x

in between d and c it could be [tex]4x^{o}[/tex] than probably half that

in between b and c it could be [tex]x^{o}[/tex]  

or this

From the diagram, we know that it is an angle that adds up to 360

So

x+4x+2x+10+5x+50=360

Gather like terms

12x+60=360

Move sixty to the other side as a negative number

12x=300

Divide both sirs by twelve

x is equal to 25

AOB is 2x+10

Sub x in 2*25+10

AOB is 60

BOC is 5x+50

5*25+50, which is 175

BOD is x+2x+10

Which is 3x+10

Sub x

3*25+10 which is 85

Step-by-step explanation:

i think it could be like this

what are the zero's f(x)=(x-3)(x+8)

Answers

Answer:

-8, 3

Step-by-step explanation:

[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]

What is the area of trapezoid QRST?

Answers

Divide the sides by 2 and multiply the sum of the bases

Answer:

?

Step-by-step explanation:

divide the trapezoid into 1 square and 2 triangles.

then calculate the square.

6 * 6 = 36.

after youve done this you have to calculate the triangles.

6 * 3 = 18 = 1 triangle

18 * 2 = 36 = 2 triangles

now add them together:

36 + 36 = 72

in conclusion this should be the proper answer but its not on your page so...

i would say count the squares 1 by one...

but i did that...

its 54

:)

The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)

Answers

Answer:

A: (1.1, –1.9)

tell me if im wrong pls.

Answer:

A

Step-by-step explanation:

I took the test

If 153 = 2 (z +z)n, then what is the value of 4nz + 20

Answers

Answer:

The value of 4 n z + 20 = 173

Step-by-step explanation:

Explanation:-

Given  153 = 2 (z +z )n

          2 ( z + z) n = 153

         2 ( 2 z ) n = 153

          4 z n = 153

Adding '20' on both sides , we get

         4 z n + 20 = 153 + 20

         4 z n + 20 = 173

Final answer:-

The value of 4 n z + 20 = 173

PLZZZ HELPPP
Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.

Answers

Answer: 28/3 hours

Step-by-step explanation:

From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.

Kim's hourly rate will be to clean the house = 1/7 per hour.

In 4 hours:

Kim will have completed = 1/7 × 4 = 4/7 of the house

This mean that Josh completes:

1 - 4/7 = 3/7 of the house.

Josh's hourly rate will now be:

1/4 × 3/7 = 3/28 of the house per hour.

From Josh to clean the house alone, he will use:

= 1 ÷ (3/28)

= 1 × 28/3

= 28/3 hours

Josh will use 28/3 hours to clean the house alone?

Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1

Answers

Answer:

x=-1

Step-by-step explanation:

The axis of symmetry is along the vertex

The vertex is at (-1,-2)

The x coordinate is -1

x=-1

20t- (8t+ 50s + 200)

Answers

Answer:

[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]

The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.

Answers

Answer:

a) 45.50p + 500

b) 45.50p + 500 = 3912.50

p = 70

Step-by-step explanation:

p = number of people

$45.50 for a meal for each person, so:

45.50p

The constant is $500, so let's add that to the expression:

45.50p + 500

How is the product of 4 and 2 shown using integer tiles? 4 positive tiles and 2 positive tiles. 4 negative tiles and 2 negative tiles. 4 sets of 2 positive tiles. 4 sets of 2 negative tiles. Plz i need help

Answers

Answer: 4 sets of 2 positive tiles.

Step-by-step explanation:

We have the product of 4 and 2.

We can represent this as:

4 is equivalent to 4 positive tiles.

if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.

Another example is using 2 positive tiles to represent the 2.

So when we multiply it by 4, we end with 4 sets of 2 positive tiles.

This is because the order of the factors does not change the product.

Then, from the given options, the correct one is:

4 sets of 2 positive tiles.

Answer:

C on edge 2021

Explanation:

4 groups of 2

[+] [+]    [+] [+]    [+] [+]    [+] [+]    

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.

Answers

Answer:

hi this is my old account

Step-by-step explanation:

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