Adam and Mags win £2400. They split the money in the ratio 1:5. How much does Adam get?

Answer:

44 hectares

Step-by-step explanation:

The largest number in the ratio is 5 and corresponds to the largest share.

The largest share is 20 hectares.

20/5 = 4

Multiply each number in the ratio by 4 to get the number of hectares of that portion.

5 * 4 = 20

2 * 4 = 8

4 * 4 = 16

20 + 8 + 16 = 44

Answer: 44 hectares

If you need to show a proportion, then do it this way.

The ratio is 5:2:4

Add 5 + 2 + 4 = 11

The ratio of the largest portion to the total area is

5/11

The largest portion is 20 hectares, and the total area is unknown, so we use x. The ratio of the largest portion to the total area is

20/x

We set the two ratios equal creating a proportion.

5/11 = 20/x

Cross multiply

5x = 11 * 20

Divide both sides by 5

x = 11 * 4

x = 44

Answer: 44 hectares

Answer:

y=4x-1

Step-by-step explanation:

I plugged the table into Desmos and I determined the slope and intercept from that.

Answer:

multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.

Step-by-step explanation:

Answer:

[tex] 266.14 \: {cm}^{2} [/tex]

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]

Answer:

its 48,868

Step-by-step explanation:

Answer:

48 868

Step-by-step explanation:

260+212×233-1000

260+(212×233)-1000

260+49 608-1000

49 868 - 1000

=48 868

Answer:

6n - 14

Step-by-step explanation:

6n - 14?

6 times a number (6n) minus 14 (-14)

put together = 6n - 14

Answer:

x-2

Step-by-step explanation:

Answer:

142 degrees

Step-by-step explanation:

180-38

Answer:

[tex]142[/tex]°

Answers:

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

Explanation:

I'm assuming you mean to say "scale factor of s = 1/3" since the green triangle is smaller than the red triangle.

Let's start at the point (4,2). This is the center of dilation. This fixed point does not move or change as you apply any dilation (as long as you keep this as the center of course). Every other point will move. For instance, the point (10,14) moves to (6,6) after applying the dilation.

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

The x coordinate of the center point (4,2) is x = 4.

The x coordinate of the point (10,14) is x = 10.

Going from (4,2) to (10,14) will have us move a horizontal distance of 10-4 = 6 units.

Take 1/3 of this horizontal distance and we get (1/3)*6 = 2. This means that if we started at the center point (4,2) and move 2 units to the right, we will have the x coordinate to be x = 4+2 = 6, which matches up with the x coordinate of the point (6,6)

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

We'll do the same sort of thing with the y coordinates

The point (4,2) has the y coordinate y = 2

The point (10,14) has the y coordinate y = 14

The vertical distance between those points is 14-2 = 12 units

One third of this is (1/3)*12 = 4

If we started at (4,2) and moved up 4 units, then the y coordinate goes from y = 2 to y = 2+4 = 6. This also matches (6,6)

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

Hopefully by now you have a sense of how this all works. Let's use these tricks to find the location of point A.

The horizontal distance from (4,2) to (8,4) is 8-4 = 4 units. This triples to 4*3 = 12 units. We triple here because we're going in reverse of the process described in the previous two sections. If (8,4) and A swapped places, then we would take one third instead.

We'll use that 12 to count out 12 horizontal spaces from (4,2) to get to (16,2). I added 12 to the x coordinate of (4,2).

Repeat the process for the y values. The vertical distance from (4,2) to (8,4) is 2 units, which triples to 6. Add 6 onto the y coordinate of (16,2) and we arrive at (16, 8) which is the location of point A.

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

Now let's find the location of point C'

The horizontal distance from (-2,11) to (4,2) is 6 units because |-2-4| = 6. Multiply this by 1/3 and we get (1/3)*6 = 2

To get to the location point C', we need to start at (4,2) and move to the left 2 units. That means (4,2) will move to (2,2) as a temporary location.

We apply the same idea for the y coordinates. The vertical distance from (4,2) to (-2,11) is 9 units. This leads to (1/3)*9 = 3 units being the vertical distance from (4,2) to the location of C'. We'll add 3 to the y coordinate of (2,2) to arrive at (2,5) which is the location of C'.

You can buy 10 magazines in $60.

A unit rate means a rate for one of something.

Given that, the cost of 4 magazines is $24.00

For 4 magazine → $24

So, for 1 magazine = 24/4 = $6

So, in $60,

60/6 = 10

Hence, you buy 10 magazines in $60.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Answer:

18 gallons

Step-by-step explanation:

2 cups of sugar times 9 gallons of lemonade is 18

Answer:

D

Step-by-step explanation:

Answer:

Area of figure:  (4y - 7)(x + 6y + 1)

Step-by-step explanation:

The height of the figure is 4y - 7 and the length is x +  6y + 1.

The area of the figure is the product of height and length, or:

(4y - 7)(x + 6y + 1)

Answer:

x = [tex]942\frac{2}{9}[/tex]

Step-by-step explanation:

0.9 ( x - 20) = 830

0.9x - 18 = 830

0.9x = 848

9x = 8480

x = [tex]942\frac{2}{9}[/tex]

Answer: 1 number the area is 7200

Step-by-step explanation:

Answer:

This point is not a solution to the equivalence

Step-by-step explanation:

Becouse if we put x= 3 then y= 11

[tex]y = 3 \times 3 + 2 = 11[/tex]

Answer:

$7.2

Step-by-step explanation:

Answer:

$7.20

Step-by-step explanation:

Answer: You are correct it is E

Step-by-step explanation:

Saw the question answered on brainly so its correct

Answer:

4/3

Step-by-step explanation:

rise over run

gradient=80/60=4/3

Answer:

[tex]x>-11[/tex]

Step-by-step explanation:

[tex]10+2x>-12[/tex]

Subtract both sides by 10

[tex]10+2x-10>-12-10\\2x>-22[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-22}{2} \\x>-11[/tex]

I hope this helps!

Answer:

x > -11

Step-by-step explanation:

Answer:

(3y + 5) / (y^2)

Step-by-step explanation:

Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay

Answer:

B

Step-by-step explanation:

2x+x=180

3x=180

x=60

2x=120

so B

hope that helps if it does please mark mine as brainliest.

Answer:

The answer would be B

Step-by-step explanation:

Hope this helps

Answer:

no se ingles lo siento y de paso mientale la madre al trup por puto rasista

Answer: only (-1, -5)

Step-by-step explanation:

If x= -1 and y= -5

(-5)+5= 2((-1)+1)= 0

question

3)

[tex]y = 2x[/tex]

answer

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

question

[tex]5 - y = 3x[/tex]

answer

[tex] x= \frac{5 - y}{3} [/tex]

question

4)

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

answer

[tex]x = \frac{y - 20}{5} [/tex]

question

[tex]y = x + 4 [/tex]

answer

[tex]x = y - 4[/tex]

question

5)

[tex] - 3x - 2y = - 12[/tex]

answer

[tex]x = - \frac{2(y - 6)}{3} [/tex]

question

[tex]y = 5x - 7[/tex]

answer

[tex]x = \frac{y + 7}{5} [/tex]

question

6)

[tex]y = 3x - 22[/tex]

answer

[tex]x = \frac{y + 22}{3} [/tex]

question

[tex]y = 2x - 15[/tex]

answer

[tex]x = \frac{y + 15}{2} [/tex]

all you have to do is plus, subtract and divide

HOPE IT WORKS!