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Fantom [35]
2 years ago
14

5

Mathematics
1 answer:
dimulka [17.4K]2 years ago
6 0

Answer:

James = 119 points

Sarah = 357 points

Roberts = 51 points

Step-by-step explanation:

Given that :

James = x points

Sarah = 3x points

Roberts = x - 68 points

Each point = 3 pence

All students have a total of £15.81

1 pound = 100 pence

£15.81 pound = 1581 pence

3x + 3(3x) + 3(x - 68) = 1581

3x + 9x + 3x - 204 = 1581

15x - 204 = 1581

15x = 1581 + 204

15x = 1785

x = 1785 / 15

x = 119

Hence,

James = 119 points

Sarah = 119 * 3 = 357 points

Roberts = 119 - 68 = 51 points

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Aneli [31]

Answer:

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Step-by-step explanation:

3 0
2 years ago
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript ter
vitfil [10]

Answer:

-16

Step-by-step explanation:

Given the sequence:

b(n)=b(n−1)−7, where b(1)=−2

b(2)=b(2−1)−7

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5 0
3 years ago
HELP LOOK AT THE SCREENSHOT<br><br> Find the value of x. (SHOW WORK)
Vanyuwa [196]

Answer:  x = 2

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

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

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

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

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

Now let's solve for x

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4 0
3 years ago
Plz help i need helppppppp
Goshia [24]

Answer:

1) 36

b) 5

c) 3.0

Step-by-step explanation:

1) The recursive formula that defines the given sequence is

a_1=12 \\  a_n=a_{n-1}+4.

That means we keep adding 4 to the subsequent terms:

The sequence will be:

12,16,20,24,28,32,36,...

Therefore the seventh term is 36.

2) The sequence is recursively defined by;

a_1=20\\  a_n=a_{n-1} - 5

This means, we have to keep subtracting 5 from the subsequent terms.

The sequence will be;

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Therefore the fourth term is 5

3) The sequence is recursively defined by:

f(n+1)=f(n)+0.5

where f(1)=-1.5

This means that, the subsequent terms can be found by adding 0.5 to the previous terms.

The sequence will be:

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Therefore f(10)=3.0

8 0
3 years ago
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Anon25 [30]

Answer:

7.25 × 10^6

Step-by-step explanation:

1) put into standard form: 6,000,000 + 1,250,000

2) add: 6,000,000 + 1,250,000= 7,250,000

3) put into scientific notation: 7.25 × 10^6

8 0
3 years ago
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