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

The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2) ​

Answers

Answer:

i don't know

Step-by-step explanation:

can you explain? thank you

AABC is a right triangle. AB=____

Answers

Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.

Pythagorean Theorem: a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

c = 8.06

Hope this helps!! :)

Answer:

8.06

Step-by-step explanation:

Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.

First you need to square a and b, like in the formula:

[tex]4^{2}[/tex] = 16

[tex]7^{2}[/tex] = 49

Now you add these together to find [tex]c^{2}[/tex]:

16 + 49 = 65

So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:

[tex]\sqrt{65}[/tex] = 8.0622577...

So its approximately 8, and more accurately 8.06

Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)

Answers

Answers:

x = 8

y = 15*sqrt(2)

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

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

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

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

Find the equation of a line with m = 3 that passes though the point (-12,
4).

Answers

Answer:

y = 3x + 40

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (- 12, 4 ) into the partial equation

4 = - 36 + c ⇒ c = 4 + 36 = 40

y = 3x + 40 ← equation of line

Find the measure of the angle indicated

Answers

Answer:  B) 40 degrees

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

Explanation:

The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer

(138-58)/2 = 80/2 = 40 degrees

The general formula is

(A - B)/2

where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

360 cubic inches (remember your units!)

Step-by-step explanation:

the formula for volume of a rectangular prism is length times width times height times depth so you have to do 8 times 5 times 9 witch is 360 cubic inches

Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units

Answers

Remember that 1 degree=(π180) radians. This means that 106∘=106⋅(π180)≈1.85 radians. Now you can find the length of the arc. To find the length of the arc, multiply the radius (6 in) by the measure of the central angle in radians.

A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.

What is the measure of 1 radian?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.

Learn more about radian here https://brainly.com/question/19758686

#SPJ2

What is 45 quarts= ___ pounds​

Answers

Answer:

93.8858 pounds

How to convert:

1 pound (lb) = 0.479305709 quart (qt). Pound (lb) is a unit of Weight used in Standard system. Quart (qt) is a unit of Volume used in Cooking system. Please note this is weight to volume conversion, this conversion is valid only for pure water at temperature 4 °C.

1 US qt = 0.946352946 liters = 0.946352946 kg of pure water at temperature 4 °C.

US oz = 28.349523125 g

US fl oz = 29.5735295625 ml (milliliters) = 29.5735295625 g (grams) of pure water at temperature 4 °C.

US cup = 8 fl oz = 236.5882365 ml (milliliters) = 236.5882365 g (grams) of pure water at temperature 4 °C.

The US liquid quart equals to 0.946352946 liters.

Answer:

45 quarts is equal to exactly 93.8858 pounds.

Step-by-step explanation:

1 quart (qt) = 2.086351113 pound (lb).

Multiply 2.086351113 pounds by 45 to get your answer.

A bag contains 11 tiles, one for each of the letters in the word BLUEBERRIES. You randomly choose a tile.

Find the probability that you choose a tile with the letter R. Write as a reduced fraction (numerator/denominator).

PLEASE HELP!

Answers

2/11

there’s 2 R’s and 11 total so

possible outcomes/ overall outcomes

Answer:

2/11

Step-by-step explanation:

There are 11 tiles and 2 of the have R's on them, so it is 2 out of 11, or 2/11

If the information given below represents an arithmetic sequence


a1= 49 and a8= 14 find:


d =


a27=



WILL AWARD BRAINLIEST

Answers

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

Where is (5,10) on a Coordinate Plane?

Answers

Answer:

Step-by-step explanation:

Start at the origin (0, 0).

Move your pencil point 5 units to the right.  Draw a vertical line through this new point.  This is the line x = 5.

Now move your pencil point up to y = 10.  Plot a point there.  This is the point (5, 10) on your coordinate plane.

which kind of triangle is shown

Answers

Answer:

scalene triangle

Step-by-step explanation:

Step-by-step explanation:

Scalene Triangle bcoz none of the sides are equal

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

[tex](6 {x}^{2} - 5x + 10) - 2 {x}^{2} - x + 13 \\ 6 {x}^{2} - 5x + 10 - 2 {x}^{2} + x - 13 \\ = 4 {x}^{2} - 4x - 3[/tex]

What is the k’s meaning in k over 5 = 5

Answers

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

PLEASE HELP ASAP PLEASE

Answers

Answer:

Step-by-step explanation:

The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.

Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-

Answers

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Jean, Pierre and Rachel are friends. Pierre is 8 years older than Rachel, while Jean is 15 years younger
than double the age of Peter. In addition, the sum of Peter's age and a quarter of Rachel's age is
John's age minus 5. Find out what each person's ages are.

AYO CAN ANYONE HELP ???

Answers

Answer:

Step-by-step explanation:

Cette même question... mais il me semble que quelqu'un a déjà répondu :)

Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
0 205 + 10H - 500
O 105 + 20H = 500
105 - 500
10H - 400

Plz help

Answers

Answer:

for the next week and I don't want you guys watch

Step-by-step explanation:

hi there there no no of I following help to this online as

$500 + $20 = 30 south of course and I

helppppppp please (3)

Answers

Answer:

please provide an image so we know what to solve

THERE ISNT ANYTHING HERE BRSTIE


The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold
a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.

Answers

Answer:

2.36 inches

Step-by-step explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

find the value of x pls help

Answers

Answer:

x = 15°

Step-by-step explanation:

First Identify the angle of x by subtracting 180° - 120° = 60°

Always remember when you see a straight line the line measures 180°

So the angle of x = 60° but not the value of x so use the given equation to find the value of x

3x + 15 = 60°

3x  - 15 = -15°

3x = 45

x = 15°

Find the side length x

Answers

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x

64 + 36 = 100

√100 = 10

[tex]\huge\bold{To\:find:}[/tex]

The length of the hypotenuse ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Plz help me it’s being timed

Answers

⇛ ANSWER ⇚

2x - y = 0 x + y =-3 is matched with [ O -1 ] (system determinant)[ 3 1 ] ( y - determinant ) ( x - determinant )

HOPE U UNDERSTOOD !!!!(:

ABCD is a quadrilateral.

Sides are extended as shown.


Show that x = 100°

Answers

Solution :

Given :

ABCD is a quadrilateral.

Angle ADC = 90 degree

Angle DCB = 120 degree

Now angle DAB = 70 degree (alternate angles)

We know that the interior angles of a quadrilateral is 360 degrees.

So,

∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°

70° + ∠ ABC + 120° + 90 ° = 360°

∠ ABC = 360° - (70° + 120° + 90°)

∠ ABC = 360° - 280°

∠ ABC = 80°  

Now     ∠ x = 180° - ∠ ABC   (Line AB extended is 180° )

                   = 180° - 80°  

                  = 100°

Hence proved.

pls help asappp ill put u as brainlist! TYTY

Answers

Area = 1/2 x 8 x 6
= 24cm2

Find the area of the triangle



Answers

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?

Answers

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

what type of polynomial is this 5x2-x+4

Answers

Answer:

Step-by-step explanation:

It is a trinomial because the given polynomial has three terms

PLEASE DO WITH STEPS 3, 4 and 5 SOLVE IN RADICAL FORM AND DECIMAL FORM WITH STEPS PLZ WILL MARK AS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

3) (21²-6²)½ = 20.1 cm

4) (10²+7²)½ =12.2 cm

5) (6.5²-2.7²)½ = 5.9 cm

How are the shapes alike ?

Answers

Answer:

those 4 options are wrong, unless I am d.u.m.b

Step-by-step explanation:

both of those figures have 6 faces, and 8 edges.

Have a nice day! :-)

Answer:

Each shape has 12 edges

Step-by-step explanation:

Every cube (regular hexahedron) has 6 square faces and each face has 4 edges. However, each edge is shared between 2 faces. So, you can determine how many edges there are by multiplying 6 x 4 and dividing the resulting number (24) by 2, getting the final number of 12.

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