Share £24 in the ratio of 3:1

Answers

Answer 1

Answer:

18:6

Step-by-step explanation:

3 + 1 = 4

24 ÷ 4 = 6

3 x 6 = 18

6 x 1 = 6

Answer 2

Answer:

£18 and £6

Step-by-step explanation:

Total = £24

Ratio = 3:1

Total Parts = 3+1 = 4

Divide total by the total parts:

=> £24/4 = 6

Now Multiply this by the ratios:

=> 3 * 6 = £18

=> 1 * 6 = £6


Related Questions

Seventeen consecutive positive integers have a sum of 306. What is the sum of the seventeen consecutive integers that immediately follow the seventeen positive integers that sum to 306?

Answers

Answer:

595

Step-by-step explanation:

Each of the following 17 is 17 more than its corresponding integer in the 1st 17.

---> 306 + 289 = 595

Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns

Answers

The answer is the number of cavities because it’s talking about the quantity rather than the quality.

Answer: Number of Cavities

Sketch the graph of each line.

7
y=-x-2

Answers

Answer: 0.286

Step-by-step explanation:

Answer:

The screenshot is provided.

Step-by-step explanation:

(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C

Answers

Answer:

B and D

Step-by-step explanation:

In the picture attached, the question is shown.

The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.


Which statements can be concluded from the diagram and used to prove that the triangles are similar by the
SAS similarity theorem?

Answers

By sides, there’s a scale factor of two that differentiates them e.g. 6x2=12 and 8x2=16 and for the angle they both share a common right angle

Answer:

I THINK ITS A

Step-by-step explanation:

ANOTHER ONE! 10 POINTS AND BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

so simple is not c because is you move it 6 unit is getting off track just reflect over the Y axis in it will fall on place

The answer is C. Because it did translate 6 units to the left, in my opinion.


Which of the following is an equation of a circle in
the xy-plane with center (0, 4) and passes through (4/3,5)

Answers

Answer:

[tex]x^2 + (y - 4)^2 = \dfrac{25}{9}[/tex]

Step-by-step explanation:

The equation of a circle with center at (h, k) and radius r is

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

You have center (0, 4).

We get:

[tex] (x - 0)^2 + (y - 4)^2 = r^2 [/tex]

[tex] x^2 + (y - 4)^2 = r^2 [/tex]

To find the radius, we use the distance formula to find the distance from the center of the circle to the given point on the circle.

[tex] r = d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] r = \sqrt{(\dfrac{4}{3} - 0)^2 + (5 - 4)^2} [/tex]

[tex] r = \sqrt{(\dfrac{4}{3})^2 + 1^2} [/tex]

[tex] r = \sqrt{\dfrac{16}{9} + \dfrac{9}{9}} [/tex]

[tex] r = \sqrt{\dfrac{25}{9}} [/tex]

We need r^2 in the equation of the circle, so

[tex] r^2 = \dfrac{25}{9} [/tex]

The equation of the circle is

[tex]x^2 + (y - 4)^2 = \dfrac{25}{9}[/tex]

WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER Draw the image of triangle ABC under a dilation whose center is P and scale factor is 1/2. Also ignore the green triangle in the picture. That's what I'm supposed to draw the image with.

Answers

Answer:

I scaled it down by 1/2 and made P the center point.

Step-by-step explanation:

What is the point-slope form of a line with slope -3 that contains the point (10,-1)?

A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)

Answers

Answer:

the point slope form is

y + 1= -3(x - 10)

solution is c

Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME

Answers

Answer:

22.5

Step-by-step explanation:

Since 13.5 is 60% of something, the opposite operation would be to divide 13.5 by 60% (or 0.6). You can check this by finding 60% of 22.5:

13.5 / 0.6 = 22.5

22.5 x 0.6 = 13.5

Answer:

In the problem, 60% of 22.5 is 13.5.

Step-by-step explanation:

The first thing we have to do is know what the problem is asking us to find. In the problem, we are asked to find the number that 13.5 is 60% of. In order to find this number, we have to divide. We are going to divide 13.5 by 60%. 60% can be turned into decimal form which is 0.6.

13.5 ÷ 0.6 = 22.5

So, the number that 13.5 is 60% of is 22.5.

Select the correct answer.
Which of the following sets of ordered pairs represents a function?

Answers

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

Select the correct answer from each drop-down menu. Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average. Margie wants to know the estimated probability that her first serve will be good at least four of the next six times she serves. How could she design a simulation for this scenario? The scenario can be simulated by rolling a six-sided die ---- times. The ----- would represent the number of Margie's good first serves. If the ------- appear in a set of outcomes one time each, it would mean that at least four of the next six first serves that Margie makes will be good. 1)2,4,6,10 ------------------------------ 2)numbers 1 to 3 numbers 1 to 4 numbers 4 to 6 numbers 2 to 4. ----------------------------- 3)numbers 0 to 1 numbers 5 to 6 numbers 4 to 6 numbers 1 to 4

Answers

Answer:

the answer is 2

Step-by-step explanation:

A sprinter travels a distance of 100 m in a time of 9.67 seconds. What is the sprinter's average speed rounded to 4 sf?

Answers

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=[tex]\frac{distance covered}{time taken}[/tex]

average speed=[tex]\frac{100m}{9.67s}[/tex]

average speed=10.42m/s

Find the slope of the line that passes through (66, 6) and (27, 96).

Answers

Answer:

(-37,90)

Step-by-step explanation:

96-6/27-66



PLEASE I NEED HELPP !!o

The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent Side AB is equal to side DC, and DB is the side common to triangles ABD and CDB. Therefore, the triangles ABD and
CDB are congruent by SAS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of vertical angles that are congruent. Therefore, AD is
parallel and equal to BC Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel
Which statement best describes a flaw in the students proof?
O Triangles ABD and BCD are congruent by the SSS postulate instead of the SAS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SAS postulate.
O Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
O Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles

Answers

Answer:

I believe that the answer is Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles.

Step-by-step explanation:

Please help me! Ill give brainliest! The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below: Step 1: 2(y + 6) = 4y Step 2: 2y + 8 = 4y Step 3: 2y = 8 Step 4: y = 4 Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points) 2 should be distributed as 2y + 12; y = 6 2 should be distributed as 2y + 12; y = 3 The equation should be y + 6 = 4y after division by 2; y = 2 The equation should be y + 6 = 4y after division by 2; y = 1

Answers

2 should be distributed as 2y + 12; y = 6

Step-by-step explanation:

The equation is...

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

First, we need to distribute the 2 to the numbers in the parentheses. We will multiply them both by 2.

[tex]2y+12=4y[/tex]

Now we can subtract 2y from both sides. On the left it will cancel and on the right we will be left with 2y.

[tex]12=2y[/tex]

Now we can just divide and...

y = 6

Is 4r=-5s+1/4 proportional?

Answers

No, it is not proportional.

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

Answers

Answer:

-11

Step-by-step explanation:

There is enough information to put the equation in point slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We are given the point of (-5,4) and the slope of -3.

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-4=-3(x+5)}[/tex]

Now, we can take the point slope equation and convert it into slope intercept form.

[tex]y-4=-3(x+5)\\\\\left \{ {{-3*x=-3x} \atop {-3*5=-15}} \right.\\\\ y-4=-3x-15\\\\y-4+4=-3x-15+4\\\\\boxed{y=-3x-11}[/tex]

The y-intercept should be -11.

Answer:

B

Step-by-step explanation:

The sum of two numbers is -12. The difference between the same two numbers is 8. What is the product of the two numbers? ( with explanation )

Answers

Answer:

x=-2

y=-10

Step-by-step explanation:

x+y=-12

x-y=8

x=y+8

(y+8)+y=-12

2y+8=-12

2y=-20

y=-10

x+10=8

x=-2

Answer:

[tex]x = - 2 \\ y = - 10[/tex]

Step-by-step explanation:

[tex]x + y = - 12 \\ x - y = 8[/tex]

[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]

[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]

Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

Answers

Answer:

[tex]9x+5y=-20[/tex]

Step-by-step explanation:

[tex]y = \frac{5}{9} x - 4[/tex]

compare with that y=mx+c

where m=slope .

So after comparing we get m=[tex]\frac{5}{9}[/tex]

As the lines are perpendicular

[tex]m1*m2=\ -1[/tex]

[tex]m2 \ =\ \frac{-1}{m1}[/tex]

therefore m2=[tex]\frac{-9}{5}[/tex]

Now from the equation

[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]

[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]

Therefore equation is

[tex]9x+5y=-20[/tex]

What is the remainder for the synthetic division problem below?
O A. 22
O B. 58
O c. -44
O D.-8

Answers

Answer:

O A. 22 hopefully that helps

Solve x - 1/4 = 1/2 for x

Answers

Answer:

x = 3/4

Step-by-step explanation:

Simply add 1/4 to both sides of the equation to isolate x and to get your answer.

x = 1/4 + 1/2

x = 1/4 + 2/4

x = 3/4 or 0.75

Answer:

x = 3/4

Step-by-step explanation:

common denominator

x-1/4=2/4

addition property of equality

x=3/4

jessica put 4 tables together for the Pie day sale. Each table is 42 inches long. What is the total length of the tables expressed in feet and inches

Answers

Answer:

14 feet OR 168 inches

Step-by-step explanation:

4 tables multiplied by 42 inches equals 168 inches total

168 inches divided by 12 inches per feet equals 14 feet.

Simplify all radicals as far as you can.
9x2 + 12x +4= 0

Answers

Note that 9x^2 + 12x +4= 0 has the form of a special product:

(a + b)^2 = a^2 + 2ab + b^2

and so our 9x^2 + 12x +4= 0 factors into (3x + 2)(3x + 2) = (3x + 2)^2

A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Find the number of tourists if there are more than 25 and fewer than 45.

Answers

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

solve this please. find the sum

Answers

Answer:

1

Step-by-step explanation:

a + b - c

Let's solve for the first triangle.

1 + 3 - 4

4 - 4 = 0

Now for the second triangle.

2 + 5 - 6

7 - 6 = 1

Add 0 and 1.

0 + 1 = 1

Answer:

1

Step-by-step explanation:

1+3=4-4=0

2+5=7-6=1

0+1=1

Consider the equation y = –3(x – 3) Which equation, when graphed with the given equation, will form a system with lines that overlap? A)y = –3x – 9 B)y = –3x – 3 C)y = –3x + 3 D)y = –3x + 9

Answers

Answer:

y=-3x+9 (D)

Step-by-step explanation:

Answer:

D) y=-3x+9

Step-by-step explanation:

on edge lol

and credit to person above me

The retail price of the latest video game is $89.00. If the shipping charges are 7%, how much will the video game cost? A. $95.23 B. $82.77 C. $6.23 D. $5.63

Answers

Answer:

A. $95.23

Step-by-step explanation:

Take $89.00, and multiply it by 7%. If you dont know how to multiply by 7%, you can move the decimal two places to the left. Then, add the number you got (6.23) to the original number ($89.00) and there is your answer ($95.23)! (sorry if this doesnt make any sense.)

Solve for u. 20 − (u · 0.9) = 4.7

Answers

Answer:

20 - 0.9u = 4.7

-0.9u = 4.7 - 20

-0.9u = -15.3

Divide both sides by - 0.9

u = 17

Hope this helps.

On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).
What is the area of triangle RST?

6 square units
9 square units
12 square units
18 square units

Answers

Answer:

The answer is

Step-by-step explanation:

B. 9 square units

The area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Triangle RST has points (-3, 2), (3, 2), and (-1, 1).

We are assuming the coordinate for point R is (-3, 2)

S(3, 2)

T(-1, 1)

An altitude is drawn from point T to point U at (-1, 2).

From the distance formula, we can find the distance between R and S and distance between TU.

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

h = 1 units

b = 6 units

Area of triangle RST = (1/2)(6×1) = 3 square units

Thus, the area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ5

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