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Vaselesa [24]
4 years ago
13

Write the first five terms of a numerical pattern that begins with 5 and then adds 6

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
7 0

This pattern forms an arithmetic sequence with the first term a_1=5. The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,

a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29

The first terms of this sequence are 5, 11, 17, 23,29.

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Mr Thomas's monthly expenditure was £2125 after
just olya [345]

Answer:

a.  £2,500

b.  £3,125

Step-by-step explanation:

The computation is shown below:

a. The original monthly expenditure is

Let us assume the original monthly expenditure be x

Monthly expenditure = x -15% of x

£2,125 = x - 0.15x

£2125 = 0.85x

x = £2125 ÷ 0.85

= £2,500

b. Now the monthy income is

Let us assume the monthly income be y

£2,500 = 80% of monthly income

£2,500 = 80% of y

y = £2,500 ÷ 80%

= £3,125

7 0
3 years ago
Need to be able to check my work with this problem.
kirill [66]

Answer:

You are correct

Step-by-step explanation:

Hi,

(f+g)(x)=6x-12+3x+8=9x-4\\\\(f-g)(x)=6x-12-3x-8=3x-20

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5 0
3 years ago
In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are
Diano4ka-milaya [45]

The number of incorrect answers made by Radhika is 8;  the number of incorrect answers made by Mohini = 13

<h3>How to solve algebra word problems?</h3>

We are given;

Marks obtained for 1 right answer = +3

Marks obtained for 1 wrong answer = −2

(i) Marks scored by Radhika = 20

Marks obtained for 12 correct answers = 12 × 3 = 36

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−16) ÷(−2) = 8

Therefore, the number of incorrect answers made by Radhika = 8

(ii) Marks scored by Mohini = −5

Marks obtained for 7 correct answers = 7 × 3 = 21

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = − 5 − 21 = −26

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−26) ÷ (−2) = 13

So, the number of incorrect answers made by Mohini = 13

Read more about Algebra word problems at; brainly.com/question/21405634

#SPJ1

3 0
2 years ago
Q.<br><br><br>A circle has a radius of 21 cm. Then determine the area!<br><br><br>EASY​
photoshop1234 [79]

Hello there! :-)

The formula for finding the area of a circle is

  • A=\pi r^{2}

Notice that only the radius is squared.

We are given the radius of the circle: 21 cm.

We plug the value of r into the formula:

  • A=π(21)²
  • A=π(441)
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Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping people with their homework

#LetItSnow

Good luck.

5 0
3 years ago
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Doss [256]

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

5 0
3 years ago
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