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
mel-nik [20]
3 years ago
15

£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

enry. How much does Mark get?
Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Mark received £ 132

<em><u>Solution:</u></em>

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

<em><u>David gets twice as much as Mark</u></em>

d = 2m ----- eqn 2

<em><u>Mark gets three times as much as Henry</u></em>

m = 3h

h = \frac{m}{3}  ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132

Thus Mark received £ 132

You might be interested in
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
Fulton Gardens buys 6,300 flower bulbs. If 70 bulbs can be planted in each flower bed, how many flower beds are needed to plant
ki77a [65]

Answer:

90

Step-by-step explanation:

6300/70=90

6 0
2 years ago
. Multiply (3x+2)(4x-7)
aleksklad [387]

Answer:

12x^{2}  + 29x - 14

Step-by-step explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12x^{2} - (- 21x) + 8x + ( -14)

12x^{2} + 21x + 8x - 14    Combine like terms

12x^{2}  + 29x - 14

4 0
3 years ago
Read 2 more answers
How many packages of diapers can you buy with $40 if one package costs $8. 8TH GRADE ONE STEP EQUATION PROBLEM. NEED HELP ASAP
Aneli [31]
40/8=5
So 5 packs of diapers.
3 0
3 years ago
Read 2 more answers
You cut 63 meters of rope into 9 equal pieces. How long is each equal piece of rope?
Rama09 [41]
7 Meters. 63/9=7

Oh no! Something went wrong while adding your answer
It's too short.<span> Write at least 20 characters to explain it well.</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • an item that originally cost 100 is decreased by 8% the reduced price is then increased by 8% the resulting price is what? A. 10
    11·2 answers
  • What’s the answer to this please
    12·1 answer
  • YALL COME PLAY WITH ME AMONG US ZSFNQQ
    8·2 answers
  • (a) Pablo runs 8 miles in 72 minutes.
    14·1 answer
  • I need help with this math problem pls
    5·1 answer
  • Is 8/10 greater than 3/4
    11·2 answers
  • How would <br>you figure this out I don't know how ​
    6·2 answers
  • Evaluate intergral 10xe exponent 10x dx​
    13·2 answers
  • Help will give brainiliest if correct
    14·1 answer
  • -8Q+6+30-1<br> Help plz and please explain how
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!