Share £35 in the ratio 4:1​

Answers

Answer 1

Answer:

£28 : £7

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 = 5 parts

Divide the quantity by 5 to find the value of one part of the ratio

£35 ÷ 5 = £7 , then

4 parts = 4 × £7 = £28

£35 = £28 : £7 in the ratio 4 : 1


Related Questions

Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?

Answers

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

please find the result !​

Answers

Answer:

[tex] \displaystyle - \frac{1}{2} [/tex]

Step-by-step explanation:

we would like to compute the following limit:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{1}{ \ln(x + \sqrt{ {x}^{2} + 1} ) } - \frac{1}{ \ln(x + 1) } \right) [/tex]

if we substitute 0 directly we would end up with:

[tex] \displaystyle\frac{1}{0} - \frac{1}{0} [/tex]

which is an indeterminate form! therefore we need an alternate way to compute the limit to do so simplify the expression and that yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \ln(x + 1) - \ln(x + \sqrt{ {x}^{2} + 1 } }{ \ln(x + \sqrt{ {x}^{2} + 1} ) \ln(x + 1) } \right) [/tex]

now notice that after simplifying we ended up with a rational expression in that case to compute the limit we can consider using L'hopital rule which states that

[tex] \rm \displaystyle \lim _{x \to c} \left( \frac{f(x)}{g(x)} \right) = \lim _{x \to c} \left( \frac{f'(x)}{g'(x)} \right) [/tex]

thus apply L'hopital rule which yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \dfrac{d}{dx} \ln(x + 1) - \ln(x + \sqrt{ {x}^{2} + 1 } }{ \dfrac{d}{dx} \ln(x + \sqrt{ {x}^{2} + 1} ) \ln(x + 1) } \right) [/tex]

use difference and Product derivation rule to differentiate the numerator and the denominator respectively which yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \frac{1}{x + 1} - \frac{1}{ \sqrt{x + 1} } }{ \frac{ \ln(x + 1)}{ \sqrt{ {x}^{2} + 1 } } + \frac{ \ln(x + \sqrt{x ^{2} + 1 } }{x + 1} } \right) [/tex]

simplify which yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \sqrt{ {x}^{2} + 1 } - x - 1 }{ (x + 1)\ln(x + 1 ) + \sqrt{ {x}^{2} + 1} \ln( x + \sqrt{ {x }^{2} + 1} ) } \right) [/tex]

unfortunately! it's still an indeterminate form if we substitute 0 for x therefore apply L'hopital rule once again which yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \dfrac{d}{dx} \sqrt{ {x}^{2} + 1 } - x - 1 }{ \dfrac{d}{dx} (x + 1)\ln(x + 1 ) + \sqrt{ {x}^{2} + 1} \ln( x + \sqrt{ {x }^{2} + 1} ) } \right) [/tex]

use difference and sum derivation rule to differentiate the numerator and the denominator respectively and that is yields:

[tex] \displaystyle \lim _{x \to 0} \left( \frac{ \frac{x}{ \sqrt{ {x}^{2} + 1 } } - 1}{ \ln(x + 1) + 2 + \frac{x \ln(x + \sqrt{ {x}^{2} + 1 } ) }{ \sqrt{ {x}^{2} + 1 } } } \right) [/tex]

thank god! now it's not an indeterminate form if we substitute 0 for x thus do so which yields:

[tex] \displaystyle \frac{ \frac{0}{ \sqrt{ {0}^{2} + 1 } } - 1}{ \ln(0 + 1) + 2 + \frac{0 \ln(0 + \sqrt{ {0}^{2} + 1 } ) }{ \sqrt{ {0}^{2} + 1 } } } [/tex]

simplify which yields:

[tex] \displaystyle - \frac{1}{2} [/tex]

finally, we are done!

9514 1404 393

Answer:

  -1/2

Step-by-step explanation:

Evaluating the expression directly at x=0 gives ...

  [tex]\dfrac{1}{\ln(\sqrt{1})}-\dfrac{1}{\ln(1)}=\dfrac{1}{0}-\dfrac{1}{0}\qquad\text{an indeterminate form}[/tex]

Using the linear approximations of the log and root functions, we can put this in a form that can be evaluated at x=0.

The approximations of interest are ...

  [tex]\ln(x+1)\approx x\quad\text{for x near 0}\\\\\sqrt{x+1}\approx \dfrac{x}{2}+1\quad\text{for x near 0}[/tex]

__

Then as x nears zero, the limit we seek is reasonably approximated by the limit ...

  [tex]\displaystyle\lim_{x\to0}\left(\dfrac{1}{x+\dfrac{x^2}{2}}-\dfrac{1}{x}\right)=\lim_{x\to0}\left(\dfrac{x-(x+\dfrac{x^2}{2})}{x(x+\dfrac{x^2}{2})}\right)\\\\=\lim_{x\to0}\dfrac{-\dfrac{x^2}{2}}{x^2(1+\dfrac{x}{2})}=\lim_{x\to0}\dfrac{-1}{2+x}=\boxed{-\dfrac{1}{2}}[/tex]

_____

I find a graphing calculator can often give a good clue as to the limit of a function.

Which operation properly transforms matrix I to matrix II?
11
1
2
1
1
5
1
2
1
5
5
5
0
1 2
→ 0 1
2
5
2 7
825
0 36
15

Answers

Answer:

D

Step-by-step explanation:

Replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.

The rate of change is

Answers

Answer:   -4

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

Explanation:

Pick any two rows from the table to plug into the slope formula.

I'll pick the rows where every value is positive (rows 3 and 4)

Using the slope formula, we get the following:

m = (y2-y1)/(x2-x1)

m = (1-5)/(2-1)

m = -4/1

m = -4 is the slope and it's the rate of change

For any linear function, the slope and rate of change are the same thing.

Parallel Lines

PLEASE HELP I NEED ASAP!

Answers

Answer:

B

Step-by-step explanation:

The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.

:)ur welcome

Answer: Choice B

Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.

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

Explanation:

Parallel lines always have equal slopes, but different y intercepts.

Recall that slope = rise/run.

The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.

So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.

If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.

We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.

Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.


A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth

Answers

Answer

16.25

Step-by-step explanation: To The Nearest Hundredth

(-1, 2), (3, 1)

√17

(3, 1), (7, 2)

√17

(3, 1), (7, 2)

√8

So our answer is =

8 + √17 + √17 = 16.25

hope it works for you!

help asap ------------------------------

Answers

Answer:

(0,-41)

Step-by-step explanation:

Let see if this table of values are proportional.

All x values decrease by -9.All y values decrease by -19.

This mean that the function is proportional. This also gives us the slope which is 19/9.

This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation

We know the slope and we know a point so let use point slope form to find the intercept.

[tex]y - y _1= m(x - x _1)[/tex]

Let use points (-18,-79) and let m =19/9.

[tex]y + 79 = \frac{19}{9} (x + 18)[/tex]

[tex]y + 79 = \frac{19}{9} x + 38[/tex]

[tex]y = \frac{19}{9} x - 41[/tex]

This is in slope intercept form so the y intercept is

[tex] - 41[/tex]

The answer is -41.

A credit card has a nominal annual interest rate of 18%, and interest is compounded monthly. The cardholder uses the card to make a $30 purchase.

Which expression represents the balance on the card after 5 years, in dollars, assuming no further charges or payments are made?

Answers

Answer:

30 [tex](1 + \frac{.18}{12})^{5*12}[/tex]

Step-by-step explanation:

What is the measure of _X in degrees?
O A. Cannot be determined
O B. 20°
O C. 40°
O D. 70°

Answers

Your answer would be C / 40
Answer: C. 40°


Step 1: Determine the type of triangle

The shape in the picture is an isosceles triangle. This is determined because two sides share the same length. This will mean that two angles will also share the same measurement, helping us to find our answer.

Step 2: Write an equation

Now that we have identified the type of triangle, we can write an equation to solve. Two angles will be equal to 70, so subtract 70 twice from 180. It will be taken away from 180, since in a triangle the three angles are equal to 180 degrees. Now we can write the equation!

X= 180-70-70

Step 3: Solve for ∠x

The final step will be to solve using the equation we have created before.

X= 180-70-70
X= 110-70
X= 40

There is the final answer. Hope this helps! Comment below for more questions.

find the value of a²+b
if...
a=-2 and b=5

Answers

Answer:

9

Step-by-step explanation:

a^2 +b

Let a = -2 and b = 5

(-2)^2 +5

Exponents first

4 +5

Then add

9

Answer:

9

Step-by-step explanation:

Here, we have to observe that a^2 = a×a =-2 × -2 = 4

hence, a^2 + b = 4 + 5 = 9.

What would x be in the image above?

Answers

Answer:

x= -7

Step-by-step explanation:

the labeled angles are alternate-interior angles which are congruent

we can solve for 'x' by creating this equation:

x+139 = 132

x = -7

Which statements accurately describe the function f(x) = 3 (squareroot 18) ^x ? Select three options. A. The domain is all real numbers. B. The range is y > 3. C. The initial value is 3. D. The initial value is 9. D. The simplified base is 3 square root 2​

Answers

Answer:

The domain is all real number

A rectangular cube of volume 8000cm3 has
length= 4x
width = 2x
Height= 1x
Find it's length, width and height.

Answers

Answer:

volumn= l*b*h

4x*2x*1x= 8000 cm3

8x= 8000 cm3

x= 1000cm3

length = 4000

breadth= 2000

height = 1000

PLEASE HELP FAST WILL MARK BRAINLIEST!!!!!!!!
9.
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green,
four pleces are yellow, two pieces are purple, and three pieces are red. She draws one
piece of candy from the bag at a time and eats it.

a What is the probability that Chelsey will draw out three pieces of candy in this
order: red, green, yellow? (3 points)

b.
What is the probability that Chelsey will draw out three pieces of candy in this
order: green, yellow, red? (3 points)

c.
What is the probability that Chelsey will draw out three pieces of candy in this
order: yellow, red, green? (3 points)

d.
Make a conclusion about how the order in which she draws out the red, green,
and yellow pieces affects the probability. (3 points)

Answers

Answer:

The chances of her pulling the candy out in that exact order for all of them is extremley low

Step-by-step explanation:

I cannot figure out D though sorry

Answer:

Your welcome

Step-by-step explanation:

What is the perimeter of the shape?
4 cm
3 cm
3 cm
4 cm

Answers

Answer:

14cm

Step-by-step explanation:

The shape is a rectangle.

The formula for perimeter of a rectangle= 2(lenght + breadth)

lenght = 4cm

width = 3cm

2(4+3)

2 × 7

= 14cm

randy is a car salesman who earns a base pay of $39,800 and is a paid commission of 18% for each car he sells. if x represents total sales in dollars, which equation best represents randys total pay in dollars

Answers

Answer:

39,800+x0.18= his total pay

Your Welcome

Biffy Out!!!

х
If
5.3
=
12, what is the value of x?
8
0 ООО
18
o 24

Answers

Answer:18

Step-by-step explanation:

Solve 3x + 8 = 2x + 21

Answers

Answer:

x = 13 Step-by-step explanation:

3x+8=2x+21solve for x3x8-2x+21x8=21x=21-8=13solution is x=13/

HOPE IT HELPS!!!

PLZ I NEED BRAINLIEST!!

The answer is x equals to 13

1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3 + 8x2 − 7x) − (2x3 − 16x2 + 3x − 24) step 2 6x3 + 8x2 − 7x − 2x3 − 16x2 + 3x − 24 step 3

Answers

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]

So, the step 1 is correct.

Jay has a car worth $36,001. It is depreciating at a rate of 16% per year. How much will
it be worth in 3 years?

Answers

Answer:

$18,720.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Depreciation Formula: A = P(1 - rt)

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 36001

r = 16% = 0.16

t = 3

Step 2: Find Cost

Substitute in variables [Depreciation Formula]:                                             A = 36001(1 - 0.16 · 3)(Parenthesis) Multiply:                                                                                      A = 36001(1 - 0.48)(Parenthesis) Subtract:                                                                                     A = 36001(0.52)Multiply:                                                                                                              A = 18720.5

find the equation to the line below *pls help asap* brainliest too the first answer and 30 points

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you just plug in the answers, so lets take (1,6) and plug it into y = 6x

You could just solve it so it'd be like

6 = 6(1) and

12 = 6(2)

can someone help me in this problem

Answers

Answer:

8a³b

Step-by-step explanation:

I think it’s 8a³b… for the GCF

Put these numbers in order from least to greatest.

0.36,7/10, and 0.44

Answers

Answer:

0.36,0.44,7/10

Step-by-step explanation:

Answer:

0.36, 0.44, 7/10

Step-by-step explanation:

7/10=0.7=0.70

What is Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?

6 a minus 2 b + 11

6 a minus 4 b + 3

6 a minus 2 b + 3

6 a minus 4 b + 11

PLZ PLZ PLZ HELP

Answers

Answer:

6 a minus 4 b + 11

Step-by-step explanation:

(8a -3b +7) - (2a + b -4)

= 8a -3b +7 -2a-b +4

= 6a -4b + 11

PLEASE HELP ASAP!!!!
Jackson is testing different types of planting soil to determine which type is most effective for growing strawberry bushes. He purchases two different brands of planting soil from a local store. Jackson applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial sunlight. He waters the area with brand B daily; he waters the area with brand A every other day. At the end of the study, Jackson concludes brand A is more effective in growing strawberry bushes. Is Jackson's conclusion valid? Explain why or why not.

Answers

Answer:

It is not valid since there is more than one variable being changed at one.

Step-by-step explanation:

Jackson changed the brand of soil, but he also changes the amount of water, and the amount of sunlight the plants are receiving, so his conclusion that the soil was more effective is not valid.

Answer:

No, Jackson did not take into account alternate theories.

Jackson's findings could have been influenced by the watering schedule and the amount of sunlight. Without adjusting for these variables, the experiment is inconclusive.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The second choice is correct

Step-by-step explanation:

Go to a point like 4,3 and 0,1.   the difference in x is 4 since 4-0 = 4.

4,3 and 0,1 now we find the change in y, 3-1 which is 2. the formula for slope is change in y over change in x so 2/4 is the slope or 1/2.

The y intercept of the line is 1 since the line touches the y-axis at the y, 1.

therefore the equation is y = 1/2x + 1.

Which angles are supplementary? You can just give 1 example so I get the idea

Answers

Answer

supplementary angles sum to 180

1 & 2

1 & 4

1 & 8

1 & 6

2 & 3

2 & 7

2 & 5

3 & 4

3 & 8

3 & 6

4 & 5

4 & 7

5 & 6

5 & 8

6 & 7

8 & 7

Which expression is equivalent to ( x^1/4 y^16 )^1/2 ?​

Answers

Answer :: x^1/2 y 4

~ 1/4 x 1/2 = 1/2
16x 1/2 = 4
Siisikslaio8188181si991827272875819

C

what is the scale factor from figure a to figure b

Answers

Scale factor from figure a to figure b = DIVIDE BY 3

{Check:- 33/3 = 11 & 15/3 = 5}

hope this helps :)

Answer:

1/3

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.

Graph the image of AUVW after a translation 11 units left and 3 units down.

Answers

The units are 6,2 and 2,10
Other Questions
Breathing hard during exercise brings oxygen to your muscles, which helps the___ process releaseenergy to fuel your workout.(Oxidation, diffusion, or active transport) Write debate supporting the motion Should Parents decide le Course of Study for for their children" Select the correct answer. Which is the best definition of family planning? find the area of the polygon.I WILL MARK BRANIEST PLS ANSWER Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 ) Jamal made 77% of his free throws and Brian ,made 62% of his. Jamal had a better record. one of the was hurt very badly during the practice match Consider the case of a good with external benefits. If you plant trees in front of your house, the neighborhood is more attractive, and trees create shade, provide oxygen, and a home for birds and squirrels. Thus, the benefits to society are greater than the benefits to you. If the planting of trees is a private choice, you will plant too few trees relative to the socially optimal quantity, because the private value to you is less than the social value.1. Which of the following would not help to correct this problem?a. Subsidize consumer purchases of trees to plant.b. Tax homeowners who plant trees.c. Subsidize nurseries that sell trees for planting.d. Have the government provide trees to homeowners.e. All of the above would help to correct the problem.2. If the government pays for a program to increase the planting of trees, who will win and lose from the program? Fill the blanks with Preposition The kids were sitting............the floor..........the TV when their came. decide which point lies on the line that is parallel to AB and passes point P.(fourth answer choice is J) Find two integers whose sum is -10 and product is 16TWO INTERGES PLEASE The strongest base that can exist in a solution in appreciable concentration is the conjugate base of the solvent.a. Trueb. False Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of R in PQR? Round to the nearest degree. 26 42 45 64 The pH of a 0.1 M solution of an unknown weak acid is 3.7. What is the pKa of this acid? 44. Water from a fire hose knocks over a wooden shed. Compared with the pressure within the water, the pressure exerted against the shed is a) less. b) the same. c) more.d) nonexistent. Which of the following provides the best summary of the process of naturalselection? 8. _______Which period is influenced most by technology and media?a. Romanticismb. Rationalismc. Postmodernismd. Realism Use the formula for simple interest, I = Prt, to find the indicated quantity. Assume a 360 day year.1 = $24; P = $1200; t = 90 days; r = ?r=% (Simplify your answer.) Buenos amigos Completen con la forma correcta de ser o ir. Cuando Maribel y Paco 1 jvenes, 2 muy buenos amigos. Ellos 3 a la escuela juntos. Ellos 4 a comer juntos. Maribel no 5 muy buena alumna, pero ella 6 excelente atleta. Y Paco no 7 buen atleta, pero 8 excelente alumno. Maribel 9 a casa de Paco para hacer la tarea con l. Los dos muchachos 10 al gimnasio donde Maribel le enseaba a Paco a hacer los ejercicios. Todo el mundo deca que los dos 11 Los maestros de cuarto y quinto Dile a tu compaero(a) cmo eran tus maestros(as) de cuarto y quinto grado. Tu compaero(a) va a hacer lo mismo. Despus digan quines eran y cmo eran sus buenos(as) amigos(as) en esos grados. a ser buenos amigos para siempre. Classify each of the following items as a final good or service or an intermediate good or service, and identify which is a component of consumption expenditure, investment, or government expenditure on goods and services. A. Upper A new limousine for the president B. New airplanes bought by United Airlines C. Upper A textbook bought by a student D. Packing boxes bought by Amazon