Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller share.

Answers

Answer 1

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  You don't have to worry about which is smaller--that part will work out automatically!

The two shares are in the ratio of 2:3, so set up the proportion

[tex]\frac{x}{1785-x}=\frac{2}{3}[/tex]

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

[tex](3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714[/tex]

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.


Related Questions

A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents
that bivariate data?
tu
400
16
16
12
300
12
300
$ 200
8
100
4
4 8 12 16
Price (8)
4 8 12 16
Books
100 200 300 400
Pages
4 8 12 16
Books

Answers

Anyway the answer is 400

A rectangular tank measures 13 cm by 8 cm by 10 cm. How many milliliters of water are in the tank when it is full? How many liters?

Answers

Answer:

10400MM

1.04 litre

Step-by-step explanation:

volume = length x width x height

13 x 8 x 10 = 1040 cm^3

1cm = 10 mm

1040 x 10 = 10400MM

1cm = 0.001 litres

1040 x 0.001 = 1.04 l

Find the area of a circle with the radius of 73 feet

Answers

Answer:

Step-by-step explanation:

area of a circle=πr^2

=3.14*(73)^2

=3.14*5329

=16733.06 ft^2

Answer:

A = 5329 pi ft^2

If we approximate pi with 3.14

A = 3.14*5329=16733.06 ft^2

If we use the pi button

A =16741.54725 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 73

A = pi ( 73) ^2

A = 5329 pi ft^2

If we approximate pi with 3.14

A = 3.14*5329=16733.06 ft^2

If we use the pi button

A =16741.54725 ft^2

Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?

Answers

Answer:  35 cupcakes!

Step-by-step explanation:

Please help with this, will give brainliest.

Answers

Answer:

A)  4 cats

Step-by-step explanation:

let x = 16-y

substitute to get:

18(16-y) + 30y = 432

288 - 18y + 30y = 432

12y = 144

y = 12

x = 4

PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!

Answers

Answer:

PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED

Step-by-step explanation:

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.

Why are the events not independent?

The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)

Answers

Answer:

the correct answer is the product of PA) and P(B) is not equal to P(A and B)

Find the length of MP¯¯

Answers

Answer:

length is 45cm

No quetion

10 points !
what is 20% of 30 ?

Answers

Answer:

6

Step-by-step explanation:

Of means multiply

20% * 30

Change to decimal form

.20 * 30

6

Answer:

6

Step-by-step explanation:

[tex]20\% \ of \ 30 = \frac{20}{100} \times 30 = \frac{1}{5} \times 30 = 6[/tex]

f
is inversely proportional to

g
.
When
f
=
12
,
g
=
36

Work out
g
when
f
=
8

Answers

Answer:

g = 81.

Step-by-step explanation:

f = k/√g    where k is a constant

When f = 12 g = 36, so:

12 = k/√36 = k/6

k = 12*6 = 72.

So the relation is:

f = 72/√g

When f = 8:

8 = 72/√g

8√g = 72

√g = 72/8 = 9

g = 9^2 = 81.

Which expression best completes the following definition of a complex number?

Answers

Answer:

C. a+bi

I took the test

square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)​

Answers

Answer:

you have to tell us the question honey

reduce 9/45 to simplest terms in fractions

Answers

Answer:

1/5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1/5.

Step-by-step explanation:

Divide top and bottom of the fraction by 9.

Please help me for my cousin

Answers

all you have to do is plot the points to the corresponding numbers. for example, for the scorpions the number 55 is repeated three times so in the number line for the scorpions you’ll put 3 dots above the number 55

determine the value of x.. i will give brainliest

Answers

Answer:

Step-by-step explanation:

8x-1+6x+13=180 degree(being co interior angle)

14x=180-12

x=168/14

x=12

Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property

Answers

This is the transitive property :)

Transitive property

Witch product is less then 5/8

7/10x5/8
4/3x5/8
9/7x5/8
3/2x5/8

Thank you

Answers

Answer:

Answer is 7/10 × 5/8

Step-by-step explanation:

only answer which is under 5/8ths being 7/16 :)

Answer:

7/10x5/8

Step-by-step explanation:

7/10x5/2=7/16

4/3x5/8=5/6

9/7x5/8=45/56

3/2x5/8=15/16

A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?

Answers

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees

For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.

Answers

y= 2x^2 - 5x + 18 ? i don’t really know quadratic formula yet. but the answer might be that equation & x = 18

Okay so i Need help

Answers

The answers are in order. 240, 2400, 24000

Which expression is equivalent to (3x + 4)(2x - 3)?

Answers

Answer:

Step-by-step explanation:

If there are choices, you should list them. It's a guess about which is correct. I'll list 2 of them.

(3x + 4)(2x - 3) can be

(2x - 3)(3x + 4) or

F: 3x*2x = 6x^2

O:3x * -3 = - 9x

I : 4 * 2x = 8x

L: 4 * - 3 = - 12

When added, you get

6x^2 -9x + 8x - 12

6x^2 - x - 12

Find the volume of the cylinder when its height is 13 ft, and its radius is 12
ft. Round to the nearest tenth."

Answers

I think it’s 5878.08


V = pi * r^2 * h
= 3.14 * 12^2 * 13
= 3.14* 144 * 13
= 5878.08

Helppp easy math please !!!!

Answers

Answer:

x=5      x=1

Step-by-step explanation:

To find the x intercepts, set y=0

(x-5) (x-1) =0

Using the zero product property

x-5 =0   x-1 =0

x=5      x=1

Pls solve I will mark brainliest

Answers

Answer:

292.5

Step-by-step explanation:

1/2*13(20cm+25cm)

A flight has 175 passengers. 3 of them will be chosen to get an upgrade to first class. How many groups of 3 are possible?

Answers

Answer:

877975

Step-by-step explanation:

Given that :

Total number of passengers, n = 175

Number who gets an upgrade, x = 3

Number of different groups who could get an upgrade :

We solve this using combination :

nCr = n! ÷ (n-r)!r!

175C3 = 175! ÷ (175 - 3)!3!

175C3 =175! ÷ (172)!3!

175C3 = 877975

Please help?!?!


Thanjss

Answers

Answer:

Step-by-step explanation:

y= mx+ b helps you find the equations of the lines

y= x+2 is the line with slope m=1, and y-intercept b=2

y= -4x-3 is the line with slope m=-4, and y-intercept b=-3

y > x+2 because is a dotted line

y ≤ -4x-3 because is a solid line

Answer:

aha i see yo bbg

Step-by-step explanation:

(lipbite)

Someone help me! I have a pic down below.

Answers

that last one doesnt equal to the expression
the 3rd one, 3^-3/3^4

the price of an errand as increased from $30 to $35 what is the percantage increased​

Answers

Answer:

5%

Step-by-step explanation:

Anybody else panicking while trying to finish their classes?
(please say it's not just me)

Answers

Answer:

no it's me too haha

Step-by-step explanation:

yes currently i am taking my pre calc final and am definitely failing it

make m the subject in the relation
[tex]2m - x + 3y \h = 2y \p[/tex]

Answers

Answer:

[tex]m = \frac{-y+x}{2}[/tex]

Step-by-step explanation:

[tex]2m - x + 3y = 2y[/tex]

Take [tex]-x[/tex] and [tex]+3y[/tex] on the other side of the equal to sign:

[tex]2m = 2y +x-3y[/tex]

Now solve for y:

[tex]2m = -y +x[/tex]

Take 2 one the other side of the equation:

[tex]m = \frac{-y +x}{2}[/tex]

Hope this helps :)

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