Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?

Answers

Answer 1

Answer:

Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Step-by-step explanation:

Add 3 and 1:  3 + 1 = 4.

Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Check:  is the ratio

£22.5

---------- equal to 3:1?  YES

 £7.5

Do  £7.5 and £22.5 sum up to   £30?  YYES

---------- =

-----


Related Questions

What's is the coordinates of d

Answers

the coordinates of d are (3,7)
The coordinates are (3,7) because the x is 3 and is 7

I was doing my khan and i got stuck
6=2(y+2)

Answers

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

Given:

[tex]6=2(y+2)[/tex]

Distribute the parenthesis

[tex]6=2y+4[/tex]

Subtract both sides by 4

[tex]2=2y[/tex]

Divide both sides by 2 to get [tex]y[/tex] alone

[tex]1=y[/tex]

Hope this is helpful

Find the distance between the pair of points: (0,-8)and (0,4)

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

12

Step-by-step explanation:

[tex]\sqrt{0^{2} + 12^{2} }[/tex]

12

Consider the series 1/4+1/6+1/9+2/27+4/81+....


Does the series converge or diverge?


Select answers from the drop-down menus to correctly complete the statements.

Answers

Answer:

The series converges as any two consecutive elements of the sum are monotonically decreasing.

Step-by-step explanation:

The series converges since the consecutive element is monotonically decreasing. That is:

[tex]\forall\,i\in \mathbb{N}\,a_{i} > a_{i+1}[/tex] (1)

Where:

[tex]a_{i}[/tex] - The i-th component of the sum.

[tex]a_{i+1}[/tex] - The (i+1)-th component of the sum.

Find the solution of the system of equations.
4x – 6y = 32
2x + 3y = 4

Answers

Answer:

(5,-2)

Step-by-step explanation:

4x – 6y = 32

2x + 3y = 4      (multiply everything by 2. This will allow for the elimination of                        one of the variables. In this case, the y. )

4x – 6y = 32

4x + 6y = 8       (Now add them together)

__________

8x        = 40      (Divide by 8, both sides)

x   = 5

4(5) - 6y = 32  ( Substitute the x value into one of the original equations)

20 - 6y = 32    (Subtract the 20 from both sides)

-6y = 12            Divide by the -6, both sides)

y = -2

10.34126163391934 rounded to 4sf (significant figures)

Answers

Answer:

10.34

Step-by-step explanation:

Four sf=four numbers only

Answer:

10•34

1 is less than 5

n/b that u will begin from the no before the decimal place

Slopes of parallel lines

Answers

Answer:

2

Step-by-step explanation:

Parallel lines have the same slopes

If the slope of line a is 2, the slope of line b is 2

Answer:

slope of line b = 2

Step-by-step explanation:

The slopes of parallel lines are equal

Given slope of line a = 2 and parallel to line b , then

slope of line b = 2

yo pls telll ?:( pls be correct answer

Answers

Answer: (0,3) and (2,2)

There are infinitely many possible answers.

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

Explanation:

If we plug in x = 0 and solve for y, then we get,

x+2y = 6

0+2y = 6

2y = 6

y = 6/2

y = 3

So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)

This is one point on the line.

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

Pick any other value you want for x. Let's say we go for x = 2

x+2y = 6

2+2y = 6

2y = 6-2

2y = 4

y = 4/2

y = 2

The point (x,y) = (2,2) is also on the line, and also another solution.

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

One last example. Let's plug in x = 4

x+2y = 6

4+2y = 6

2y = 6-4

2y = 2

y = 2/2

y = 1

The point (x,y) = (4,1) is another solution.

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

Refer to the graph below.

Answer

first solution

for X=0

0+2y=6

2y = 6

6

y= ---- =3

2

so, (0,3) is also a solution

second solution

for y=0

X + 2(0) = 6

X+0 =6

X = 6

so, (6,0) is a solution

Step-by-step explanation:

was this answer helpful?

if yes then

please mark as brainlist

thankyou

Find the discriminant and the number of real roots for this equation.
x^2 + 3x + 8 = 0

A. 32; two real roots
B. -23; one real root
C. 32; one real root
D. -23; no real roots

Answers

I wrote it down, sorry if it’s a little bit messy.

The correct option regarding the discriminant and the number of real roots for this equation is given by:

D. -23; no real roots

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solution.If [tex]\mathbf{\Delta < 0}[/tex], it has 0 real solutions.

In this problem, the function is:

x² + 3x + 8.

Hence the coefficients are a = 1, b = 3, c = 8, and the discriminant is given by:

[tex]\Delta = b^2 - 4ac = 3^2 - 4(1)(8) = -23[/tex]

Negative discriminant, hence no real roots, and option D is correct.

More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811

#SPJ2

You are painting a figure that is 9 ft long, 9 ft wide and 9 ft high. Find the surface area of the figure that you are going to paint?

Answers

Answer:

486

Step-by-step explanation:

Surface Area =

[tex]6(9) {}^{2} \\ = 486[/tex]

A boy 1.5 m tall is 15 m away from a hut 24 m high. What is the angle of elevation of the top of the hut?​

Answers

Answer:

Angle of elevation = 56.31°

Step-by-step explanation:

A circle is centered on point B. Points A C and D lie on its circumference.
If angle ABC measures 124°, what does ADC measure?

Answers

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]

The solutions of the given rational equation are 13/4 and 11/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)

Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)

2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)

2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)

(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)

(2x²-4x-2x+5)/(x-1)=-3

2x²-4x-2x+5= -3(x-1)

2x²-6x+5=-3x+3

2x²-6x+5+3x-3=0

2x²-3x+2=0

By using quadratic formula, we get

x=3±√(9-8)/4

x=3± 1/4

x= 3+1/4 and x=3-1/4

x=13/4 and x=11/4

Therefore, the solutions of the given rational equation are 13/4 and 11/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Pls help will mark brainliest and 30 points

Answers

1. Answer is option 3

2. Answer is option 3

Answer:

for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)

Question 3 : enlarge each shape by the scale factor given a) enlager by scale factor -2 using (0,0) as the center of enlargement

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the shapes or their coordinates are not given.

The general explanation, however, is as follows:

To dilate a shape around the origin (i.e. (0,0)), we simply multiply the side length of the shape or the coordinates of the shapes by  the scale factor.

Take for instance:

A triangle of side lengths 3,4,5 dilated around the origin by a scale factor of 2.

The new triangle will have 6, 8 and 10 as its side lengths (i.e. we multiply 3, 4 and 5 by 2).

Another instance is:

A rectangle with the following coordinates: (1,1) (4,1), (4,5) and (1,5)

When dilated around the origin by a scale factor of 2, the new rectangle will have the following coordinates: (2,2) (8,2), (8,10) and (2,10)

Sara and jo both ran an 8km race Sarah took 55 mins to run the whole race jo started the race 3 mins later than Sara but caught up when they had both travelled 6 km of Sara and jo both ran at constant speed what is jos speed in 2dp

Answers

Answer:

9.41 km/h

Step-by-step explanation:

The total distance of the race, d = 8 km

The time Sarah took to run the race, t = 55 mins

The time Jo started the race = 3 mins later than Sara

The point Jo caught up with Sarah = 6 km into the race

The rate at which Jo and Sarah ran = Constant speed

The required information = Jo's speed

From the information given, Sarah's speed, v = 8 km/(55 mins) = (8/55) km/min × 60min/h = 96/11 km/h

The time it would take Sarah to run 6 km = 6 km/(8 km/(55 mins)) = 41.25 mins

Given that Jo started 3 minutes late, and they both arrive at 6 km into the race at the same point in time, the time it took Jo to arrive at 6 km into the race = The time it took Sarah - 3 minutes

∴ The time it took Jo to run the 6 km = 41.25 minutes - 3 minutes = 38.25 minutes

Given that Jo ran at a constant speed, and speed = distance/time, we have;

Jo's speed = 6 km/(38.25 min) = 8/51 km/min × 60 min/h = (160/17) km/h ≈ 9.41 km/h.

The height y of a ball (in feet) is given by the function
y= -1/12^2+2+4
and x is the horizontal distance traveled by the ball. How high is the ball when it leaves the child’s hand?

Answers

Answer:

assuming that the problem was actually

-1/12 x ^ 2 + 2x + 4

height = 16

(12,16)

forty feet (40) feet

vertex = -b/2a = -2/(-1/6) = 12

f(12) = - 144/ 12 + 24 + 4 = -12+ 24 + 4   = 16

Step-by-step explanation:

Can some please answer this?

Answers

Answer:

11/2

Step-by-step explanation:

when you do 11/4 divided by 1/2, think of it as 11/4 TIMES 2 because you can flip equations with division, so your answer would be 22/4 or 11/2

22/4 11/2 would be right

I need help with this it's urgent!

Answers

Oh shucks man, I'm sorry bout that

The record for the largest scoop of ice cream was made in Wisconsin. Thebscoop of ice cream was 3,010 pounds! How many ounces of ice cream is that?

Answers

Answer:

48160

Step-by-step explanation:

find the solution to the system of equations

Answers

Answer: (-2,1) deduced from graph

the point where the two lines intersect is the solution

Step-by-step explanation:

Answer:

(- 2, 1 )

Step-by-step explanation:

Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.

The point of intersection = (- 2, 1 ) ← solution

To get 400 as quotient, what number is to be divided by 16?

400+16
400 -16
400÷16
400× 16

Answers

Answer:

400×16

Step-by-step explanation:

let the number be n.

[tex] \frac{n}{16 } = 400 \\ 16 \times \frac{n}{16} = 400 \times 16\\ n = 400 \times 16[/tex]

please help me, i need help quickkk-

x+y-z=2
2x+y+z=1
2x-y+2z=3

i got x=-11
y=18
z=5

but it’s probably wrong- HELP PLS

Answers

Answer:

x = 2.2, y = -1.8, z = -1.6

Step-by-step explanation:

Put the coefficients of each variable and their constants into a matrix, as shown below.

1 1 -1 2

2 1 1 1

2 -1 2 3

Now use the rref( function to essentially "solve" the equation for all of its variables. You end up with the following matrix:

1 0 0 2.2

0 1 0 -1.8

0 0 1 -1.6

Remember that the first three columns are the coefficients on our variables, and the last column is the constant on the other side. That means that this matrix is essentially telling us the value of each variable.

x + 0y + 0z = 2.2

0x + y + 0z = -1.8

0x + 0y + z = -1.6

Find the slope of the line passing through (-2, 7) and (0, 1)
plz hurry i am in test

Answers

Answer:

-3

Step-by-step explanation:

1-7           -6

------ =   -------- =    -3

0--2          2

Can someone help me?It's urgent and thank you!

Answers

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

PLZ ans have mocks plz

Answers

Answer:

The table will be:

x |-2 | -1 | 0 | 1 | 2  

y | 1  | 4 | 5 | 4 | 2

Step-by-step explanation:

The function is:

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

a) The x values of the table is:

x |-2 | -1 | 0 | 1 | 2

So, when x = -2, y will be:

[tex]y(-2)=5-(-2)^{2}=5-4=1[/tex]

Doing the same with the other x values we have:

[tex]y(-1)=5-(-1)^{2}=5-1=4[/tex]

[tex]y(0)=5-(0)^{2}=5[/tex]

[tex]y(1)=5-(1)^{2}=5-1=4[/tex]

[tex]y(2)=5-(2)^{2}=5-4=1[/tex]

The table will be:

x |-2 | -1 | 0 | 1 | 2  

y | 1  | 4 | 5 | 4 | 1

I hope it helps you!

Which is the graph of y = |3x| – 2?

Answers

Answer:

It's the 3rd one, that you've selected in the picture.

Step-by-step explanation:

Used a graphing calculator to check,

Hope this is helpful.

PLEASE HELP

What are the missing reasons in the proof?
A. Substitution; converse of diagonals theorem
B. Sum of interior angles; converse of diagonals theorem
C. Sum of interior angles; converse of opposite angles theorem
D. Substitution; converse of opposite angles theorem

Answers

Are these converses true? The answer is yes. Each of these converses can be a way to show that a quadrilateral is a parallelogram. However, the Consecutive Angles Converse can be a bit tricky, considering you would have to show that each angle is supplementary to its neighbor

(∠A

and

∠B, ∠B

and

∠C, ∠C

and

∠D

, and

∠A

and

∠D)

. We will not use this converse.

complete each division sentence using the models provided​

Answers

Answer:

honestly for division of fractions the only sentence you need to know is...

"mine is not to question why, but to invert and multiply"...

fractional division can be done with "an inverse multiplication:

5/6 ÷ 1/6 can be changed to 5/6 * 6/1 = 30/6 = 5

3/5 ÷1/10 can be changed to 3/5 * 10/1 = 30/5 = 6

Step-by-step explanation:

for the graphed exponential equation, calculate the average rate of change from x=-2 to x= 0

Answers

Answer:

3/2

Step-by-step explanation:

Rate of change is given by

f(x2) -f(x1)

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

x2 -x1

We know x2 is 0 and x1 is -2

f(x2) is -1 and f(x1) is -4

-1 - ( -4)

----------

0 - -2

-1 +4

--------

0+2

3/2

Other Questions
Fill in the missing numbers in the following income statement: Sales $645,000 Costs 346,500 Depreciation 97,200 EBIT $ Taxes (35%) Net income $Required:a. What is the OCF?b. What is the depreciation tax shield? the sum of three consecutive even intergers is 30. what are the intergers? A corollary needs which of the following geometric terms to be proven true?A. TheoremB. IdentityC. Common notionD. Inverse The girls in Lanas troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal? CAUSES OF THE COLD WAR1. The United States had free enterprise and democracy; the Soviet Union was based on acommunist economic system.2. Nazi Germany had invaded the Soviet Union through Eastern Europe.3. Americans had the atomic bomb and the world's strongest economy; the Soviet Union hadthe world's largest standing army.4.?9. Which of the following complete the chart above?A. Stalin promised free elections in Poland but failed to keep his pledge.B. Eastem Europeans felt safer with pro-Soviet, communist governments.C. Stalin and Truman openly attacked each other at the Potsdam Conference in 1945.D. The Allies disagreed over whether Germany should be occupied. Find the product of 2+5i and its conjugate. The answer is a+bi where Every Java statement ends with: *PeriodColonDouble quoteSemicolon During its first year of operations, the McCormick Company incurred the following manufacturing costs: Direct materials, $5 per unit, Direct labor, $3 per unit, Variable overhead, $4 per unit, and Fixed overhead, $290,000. The company produced 29,000 units, and sold 19,500 units, leaving 9,500 units in inventory at year-end. Income calculated under variable costing is determined to be $365,000. How much income is reported under absorption costing it is primaryily used to generate theory through relevant information taken from very reliable source and its focus is theory development Help please no links What is the acceleration of a 0.30 kilogram ball that is hitwith a force of 27 N? Mt xe hi nng 1000kg ang ko mt toa mo1oc 300kg. C hai cng tin v pha trc vi gia tc 2.15m/s2. B qua lc cn khng kh xc nh: Tng lc tc dng ln xe hi How do somatic and inherited mutations differ? My mom does a lot for me, she is like every mom who picks up stuff from school for me and works so I can have a good life. But, every single day she tells me that I am ugly and fat, once in the mall she was walking with me and my sister, she stopped and turned around and told me "You will not walk with me because I don't want people thinking I have a fat girl as a daughter" and those words keep repeating over and over in my head all the time. When I was younger I thought the girls who face this problem were being dramatic until I experienced it myself. It hurts, there are many days where she makes pig faces and says "you are useless." Today, she told me a hundred times how ugly and fat I am and how she wished she never had me. She never once apologized. My mom does buy me stuff so I am confused if this is normal because I have always been treated like this. I have never talked to anyone about this. All she ever talked about was how I looked and even when I got straight A's all she would ever say is "ok" and she goes back to my weight. I cry myself to sleep because I think it is just me and that I am overly sensitive and what she is saying is not even that deep. I am so confused, I want to explode and tell the world and tell my aunts who don't even know this is happening because my mom always says what I do wrong but never says what she says to me. What should I do? Please help me. The Corbit Corp, sold merchandise for $10,000 cash. The cost of orp. sold merchandise for $10,000 cash. The cost of the se sold was $7,590. The journal entries to record this transaction under the perpetual inventory system would be:______. A. Cash 10,000 Merchandise Inventory Cost of Merchandise Sold 10,000 7,590 7,590 Sales B. Cash 10,000 Sales 10,000 Cost of Merchandise Sold 7,590 7,590 Merchandise Inventory C. Cash 10,000 Sales 10,000 Merchandise Inventory Cost of Merchandise Sold 10,000 10,000 D. Cash 7,590 Sales 7,590 Cost of Merchandise Sold Merchandise Inventory 7,590 7,590 13. The two main branches of Islam are Sunni and Shia. Select the two correct statements that characterize Shia Islam. They believe that Ali, Muhammad's son-in-law, should have succeeded the prophet. They believe that Muslim rulers should follow the Sunna, or Muhammad's example. They believe that the first four caliphs were "rightly guided". They believe that all Muslim rulers should be descended from Muhammad. Hydrogen and chlorine gases react to form HCl. You and a friend are on opposite sides of a long hallway, you with H2 and your friend with Cl2. You both want to form HCl in the middle of the room. Which of the following is true?a) You should release the H2 first.b) Your friend should release the Cl2 first.c) You both should release the gases at the same time.d) You need to know the length of the room to answer this question.e) You need to know the temperature to answer this question. I need help finding x please? Please help me The question is write the question for the table given.The multiple choices are Y=1/3xY=1/2xY=3xY=2x A sphere has a diameter of 32 ft. What is its surface area?The surface area of the sphere isft?. (Type an exact answer in terms of t.)