The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment

Answers

Answer 1

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Answer 2

Using proportions, it is found that her monthly payments are of £250.

The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153


Related Questions

How do you determine the domain of a function ?

Answers

Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)  

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is  

nonnegative, number of items is a nonnegative integer, etc.

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.

Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.

I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE​

Answers

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

Someone Smart Help With Math!

Answers

Answer:

-48. You multiply the figures

Answer:

B. -48

Explanation:

Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.

write the log equation as an exponential equation. you do not need to solve for x.

Answers

Answer:

5^(1/6)=2x

Step-by-step explanation:

What the log equation is saying in words is this: 5 to what powe (which would be the 1/6) wll equal 2x. And you just write 5 to the 1/6 power, which is equal to 2x

What do you do in your free time? :D

Answers

Answer:

sleep most definitely worth it

Answer:

heyyy

Step-by-step explanation:

I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL


Please help!!!! I do not understand how to do this!! I’ll mark as Brainiest!!!!!!!!

Answers

Answer:

a c and e

Step-by-step explanation:

What is the value of the 3 in this number?



is the value of this number.

Answers

Answer:

3?

Step-by-step explanation:

Anthony drives 15 km at 40 kph and return at the rate of 60kph , what is the average rate for the entire round trip​

Answers

9514 1404 393

Answer:

  48 kph

Step-by-step explanation:

The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...

  t = d/40 +d/60

And the average speed is ...

  2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48

The average rate for the round trip is 48 kph.

_____

Additional comment

This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.

What is 19% of 41?
(Simplify, no links)

Answers

Answer:

7.79

Step-by-step explanation:

19 percent of 41 is the same as 19 per hundred of 41. We can therefore make the following equation:

19/100 = X/41

To solve the equation above for X, you first switch the sides to get the X on the left side, then multiply each side by 41, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

19/100 = X/41

X/41 = 19/100

X*41/41 = 19*41/100

X = 779/100

X = 7.79

The work above shows the long way to explain how to calculate 19 percent of 41 in order to give you a foundation and better understanding of how to calculate the percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 19 percent of 41?", Y is 41 and P is 19:

(41 * 19)/100 = 7.79

And once again you see that the answer is 7.79.

help me with this:((((​

Answers

Activity 3
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)

Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.

What is the length of the side of the triangle below?
200 cm
x cm
x cm

Answers

Step-by-step explanation:

options are wrong

this is wrong options

tge answer is underoot 200

What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?

Answers

I will assume you meant y = 2x + 13

Answer: y = 2x - 20

Andre drove 106 miles in 2 hours. If he continues at this speed; how far can he drive in 5 hours?

Answers

Answer:

265 miles

Step-by-step explanation:

Divide 106 by 2 and get 53. Now you know that Andre rides 53 miles per hour.

To find your answer, Multiply 106 by 2 and get 212. Add 53 to 212.

Result: 265 miles per 5 hours

Therefore, 265 would be your answer.

-kiniwih426

One number is 7 more than another. If the sum of the two numbers is 165, find the two numbers.

The smaller number is

The larger number is 1

Answers

x+7+x=165

2x+7=165

2x+7-7=165-7

2x=158

2x÷2=158÷2

x=79

79+7+79=165

Giving brainliest, 50 points (answer both questions with solutions)

Answers

Answer:

See below

Step-by-step explanation:

#6[tex](3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9[/tex]#7[tex](x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}[/tex]

always, sometimes, or never true?

Answers

Answer:

Sometimes true, because x could be anything

Step-by-step explanation:

Please help. I struggle with geometry

Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,

Answers

Answer:

Angle 2 = 55

Angle 1 = 125

Step-by-step explanation:

Considering the line vertical lines are parallel:

Angle 2 and angle with measure of 125 are supplementary and their sum is = 180

So m<2 = 180 - 125 = 55

For angle 1:

Again since the vertical lines are parallel:

Angle 1 and angle with given measure 125 are alternate and has same measurement.

Answer:

Angle 2= 55 degrees

angle 1= 125 degrees

Step-by-step explanation:

Angle 2 uses SA, 180-125=55

angle 1 is parallel to the 125 degree line

Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.​

Answers

The answer is attached below

wht is the pie equation

Answers

Answer:  π = c/d

Step-by-step explanation: srry if its wrong im not well at math

(c)
The table shows the opening times of the wildlife park.
Opening times
Days
Monday to Friday
Saturday and Sunday
0930 to 1715
1000 to 18 30
(i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
h
(ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one ye

Answers

Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.

Opening times ::

Monday to Friday : 09:30 - 17:15

Saturday and Sunday : 10:00 - 18:30

Opening duration on Wednesdays :

Closing time - Opening time on weekdays :

17:15 - 09:30 = 7 hours, 45 minutes

Opening duration in a while year :

Opening duration on weekdays per week = 7 hours 45 minutes

Opening duration on weekends per week = 8 hours 30 minutes

Total opening duration per Week :

(weekday + weekend)

(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes

Number of weeks per year = 52

Total opening time per year :

(16 hours 15 Minutes) × 52 = 845 hours

Therefore, the park opens for a total of 845 hours per year.

Learn more : https://brainly.com/question/18405415

Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut around its outer edge. Determine what is wrong with his calculations and how to find the correct length.

Answers

The perimeter of a shape is the sum of its side lengths.

Joshua miscalculated the third length of the triangle

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

[tex]x^2 = 7^2 + 7^2[/tex]

[tex]x^2 = 2(7^2)[/tex]

Take square roots of both sides

[tex]x = \sqrt{2(7^2)[/tex]

[tex]x = 7\sqrt{2[/tex]

The other shape in the figure is a square.

So, the perimeter (P) is

[tex]P = 7 + x + x + x + 7[/tex] ---- i.e. the sum of the visible lengths

So, we have:

[tex]P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7[/tex]

Evaluate like terms:

[tex]P = 14 + 21\sqrt2[/tex]

Hence, Joshua's error is that:

He miscalculated the third length of the triangle

Read more about perimeters at:

https://brainly.com/question/6465134

PLZZZ HELP URGENTLY ASAP ON THESE I NEED THIS NOW

Answers

Answer:

coordinates:

1.) (-2,-7)(-1,-6)(0,-5)(1,-4)(2,-3)

2.)(-6,-11)(-4,-8)(0,-2)(4,4)(6,7)

Step-by-step explanation:

I can't help with the graphing

Cameron White traveled 325 miles in 6 1/4
hours. What was his average speed per
hour?

Answers

Answer:

51.68 miles per hr

Step-by-step explanation:

To find the average rate, divide the total miles traveled by the total amount of time.

325 miles / 6 1/4 hours = 51.68 miles per hr

12 divided by 478 using compatible numbers and to find two estimates

Answers

Answer:

we get 48 if we divide both:)

plz help with 10-11 if you don’t mind

Answers

Properties used:

All angles of a triangle add up to 180 degrees

180 is a straight line; so both sides of a straight line add up to 180

10) 180 - 153 = 27

180-27-133 = ?

? = 20 degrees

11) 180-87=93

180-93-23=?

? = 64 degrees

Answer:

11.) Angle FED = 20 Degrees | 12.) Angle FHG=74

Step-by-step explanation:

11.) Angle FED= 20 degrees

one side of a straight line = 180 degrees

all the angles of the insides of a triangle added together = 180 degrees

If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.

12.) Angle FHG=74

For this problem, we use the same formulas as before. So let's solve!

180-87=93. So angle GFH=83 degrees.

Now we need to add the angles together:

83+23+?=180. 83+23=106

180-106=74.

----------------------------------------------------------------------------------------------

If you like this answer, please click 5 stars and give me brainliest!! Tysm!! (I'm trying to level up)

Evaluate |bcl. given a = 5, b= -3, and c= -2.

O -6
O -5
O 5
O 6​

Answers

Answer:

6

Step-by-step explanation:

(-3)(-2) is 6 because if you multiply two negatives it equals a positive, and the absolute value of 6 is 6.

Answer:

6

Step-by-step explanation:

abs(bc)=abs(-3*-2)=abs(6)=6

How would the domain and range of the function

Y = (1/4)x - 6

be determined? Explain. ​

Answers

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]

What is the scale factor? Polygon FGHIJ is a dilation of polygon ABCDE.

Thanks

Answers

Answer:

1/2 scale factor.

Step-by-step explanation:

The polygon was dialated with a scale factor of 1/2

Hope this helps!

Their pet fish knew it wasn't right. He knew the Cat shouldn't do those things. The pet fish just knew there would be trouble. There was fish food all over the floor. They would have to buy more! Fish food costs $0.46. If Conrad gave the clerk $1, how much change would he get?

Answers

Answer:

0.54

Step-by-step explanation:

1-0.46 is 0.54

Yes.

8. Bir doğru parçasının yuvarlak uzunluğu 7 cm dir. a) Doğru parçasının en küçük uzunluğu kaç cm olabilir? b) Doğru parçasının en büyük uzunlugu kaç cm olabilir?Aciillll​

Answers

Answer:

yfyffyfyfyg

Step-by-step explanation:

xgsxfuftuxfyfjfyfyfyffyfyfygyfdtdtdhfgjhtuydxfyyxff

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