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Aleksandr [31]
3 years ago
7

Alvin and Simon shared £540 in the ratio 4:5

Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

5/18

Step-by-step explanation:

540/9=60

60x4=240(Alvin's money)

60x5=300(simon's money)

Alvin gives half so you divide 240 by 2 which is 120

Simon gives a tenth so you divide 300 by ten which is 30

120+30=150

150/540=5/18 ( simpliest form)

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Find the first four terms of the recursive sequence defined by the following formula:
NISA [10]

Answer:

144, 36, 9, 2 \frac{1}{4}

Step-by-step explanation:

The recursive formula allows us to find a term in a sequence from the previous term.

Given

a_{n} = \frac{a_{n-1} }{4}

Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give

Multiply both sides by 4, then

a_{n-1} = 4a_{n}

Given a₄ = 2 \frac{1}{4}, then

a₃ = 4 × a₄ = 4 × 2\frac{1}{4} = 9

a₂ = 4 × a₃ = 4 × 9 = 36

a₁ = 4 × a₂ = 4 × 36 = 144

4 0
4 years ago
Read 2 more answers
Please help me with this please!!
Eva8 [605]

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

6 0
3 years ago
M<MRT 133. What is m<MRN?
liberstina [14]

Answer:

MRN+NRT=MRT

2g-2+4g-9=133

6g-11=133

6g=133+11

6g=144

g=144/6

g=24

MRN=2g-2

=2(24)-2

=48-2

=46°

Hope it helps:-)

4 0
4 years ago
100 POINTS !! WILL MARK BRANILEST !! PLS HURRY
oee [108]

Answer:

log4x+log4(x-6)=2

place under single log using multiplication rule

log4(x(x-6))=2

convert to exponential form:(base(4) raised to log of number(2)=number(x(x-6)

4^2=x(x-6)

16=x^2-6x

x^2-6x-16=0

(x-8)(x+2)=0

x=8

or

x=-2 (reject, x>0)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5 . If there were
AlekseyPX

Answer:

The total number of votes= 9999

Step-by-step explanation:

The ratio of vote specifically the ratio of yes to no vote in a city vote is 6 to 5.

There is a total of 4545 no votes.

Yes/no = 6/5

Yes= no(6/5)

Yes= 4545(6/5)

Yes= 5454

The total number of yes votes are 5454.

The total number of votes= yes votes+ no votes

The total number of votes= 5454+4545

The total number of votes= 9999

5 0
3 years ago
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