All categories

3 years ago

Dan, Ellen and Fred share some money in the ratio 4:7:9.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer:

Total Amount of money = £4800

Step-by-step explanation:

Let the shares of Dan, Ellen and Fred be 4x, 7x and 9x respectively.

According to the given information:

Amount received by Ellen = Amount received by Dan + £720

7x = 4x+720

7x-4x=720

3x = 720

x = 720/3

x = £240

now,

4x = 4*240 = £960

7x = 7*240 = £1680

9x = 9*240 = £2160

Total Amount = £960 + £1680 + £2160

Total Amount = £4800

You might be interested in

I need help on this math

goblinko [34]

I believe it is g(5) = 27 because if you look at the table in the x column when x=5, g(x)=27

3 0

3 years ago

What is the nth term rule of the linear sequence below? 13, 7, 1, -5, -11,...

skad [1K]

Answer:

aₙ = a₁ - 6* (n-1)

Step-by-step explanation:

a₁ = 13 = 13 - 6* (1-1)

a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)

a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)

........

aₙ = a₁ - 6* (n-1)

check: a₅ = 13 - 6*4 = -11

8 0

2 years ago

Read 2 more answers

= 2 у when x = 21 y=3* + 20

ehidna [41]

Answer:

Step-by-step explanation:

7 0

3 years ago

You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di

Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

For the triangle ABD:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

$DC=\frac{x}{tan(46\°)}$

Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

$x=26.81ft$ ≈26.8ft

7 0

2 years ago

Compare. Select <, >, or=. 6.61? 6.610 The awnser is 6.610

Svetach [21]

Answer:

6.61=6.610

Step-by-step explanation:

6.61=6.610

After point we can increase no. Of zero.

8 0

3 years ago