1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksley [76]
3 years ago
14

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
What is the area of the circle shown? Use 3.14 for pi.<br> Help me please I need to pass this test
bazaltina [42]
A=3.14r^2
A=3.14 x 10^2
A=3.14x100
A=314
314cm is your answer
7 0
3 years ago
A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?
aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys  they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

4 0
3 years ago
The school bus Evie rides is scheduled to arrive at her bus stop at 8:20 a.m. each day. The table below shows the actual arrival
kolbaska11 [484]

Answer:

The probability of the bus getting there BEFORE 8:20 isn't likely

I took an average of all of the numbers and its shows that he bus will be there about 8:20.25

6 0
3 years ago
SOMEONE HELP ME PLEASE
faust18 [17]

Answer:

The answer is either 1, 3, or 5

Step-by-step explanation:

There are 6 sides on a singular die and the die is rolled twice the first time it rolls onto 4 and the second onto an odd number. The only odd numbers on a 6 sided die are 1, 3, and 5.

5 0
3 years ago
Read 2 more answers
What is the Laplace Transform of 7t^3 using the definition (and not the shortcut method)
Leokris [45]

Answer:

Step-by-step explanation:

By definition of Laplace transform we have

L{f(t)} = L{{f(t)}}=\int_{0}^{\infty }e^{-st}f(t)dt\\\\Given\\f(t)=7t^{3}\\\\\therefore L[7t^{3}]=\int_{0}^{\infty }e^{-st}7t^{3}dt\\\\

Now to solve the integral on the right hand side we shall use Integration by parts Taking 7t^{3} as first function thus we have

\int_{0}^{\infty }e^{-st}7t^{3}dt=7\int_{0}^{\infty }e^{-st}t^{3}dt\\\\= [t^3\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(3t^2)\int e^{-st}dt]dt\\\\=0-\int_{0}^{\infty }\frac{3t^{2}}{-s}e^{-st}dt\\\\=\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt\\\\

Again repeating the same procedure we get

=0-\int_{0}^{\infty }\frac{3t^{2}}{-s}e^{-st}dt\\\\=\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt\\\\\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt= \frac{3}{s}[t^2\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(t^2)\int e^{-st}dt]dt\\\\=\frac{3}{s}[0-\int_{0}^{\infty }\frac{2t^{1}}{-s}e^{-st}dt]\\\\=\frac{3\times 2}{s^{2}}[\int_{0}^{\infty }te^{-st}dt]\\\\

Again repeating the same procedure we get

\frac{3\times 2}{s^2}[\int_{0}^{\infty }te^{-st}dt]= \frac{3\times 2}{s^{2}}[t\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(t)\int e^{-st}dt]dt\\\\=\frac{3\times 2}{s^2}[0-\int_{0}^{\infty }\frac{1}{-s}e^{-st}dt]\\\\=\frac{3\times 2}{s^{3}}[\int_{0}^{\infty }e^{-st}dt]\\\\

Now solving this integral we have

\int_{0}^{\infty }e^{-st}dt=\frac{1}{-s}[\frac{1}{e^\infty }-\frac{1}{1}]\\\\\int_{0}^{\infty }e^{-st}dt=\frac{1}{s}

Thus we have

L[7t^{3}]=\frac{7\times 3\times 2}{s^4}

where s is any complex parameter

5 0
3 years ago
Other questions:
  • The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation o
    10·1 answer
  • Cody currently earns $23.04 per hour and is receiving a raise equivalent to 3.125% of his current pay.
    13·2 answers
  • Solve the inequality b-4&gt;3
    6·1 answer
  • A=P+PRT solve for the indicated variable R
    14·2 answers
  • At the local bank 60% of the employees have 2 or more children. There
    10·1 answer
  • The points (-1,r) and (2,1) lie on a line with slope -4 find the missing coordinate
    5·1 answer
  • NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
    11·1 answer
  • What is the length of the diameter for the circle having equation of x2 + y2 + 10x - 24y + 69 = 0
    6·1 answer
  • Please help me solve this
    14·1 answer
  • How do I solve this? What's the formula I can use?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!