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Vaselesa [24]
3 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]3 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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Write the expresion in simplest form<br> (-11/2x+30)-2(-11/4x-5/2)
qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

Expand the bracket

-11/2x + 30 + 11/2x + 5

Collect the like terms

11/2x -11/2x + 30 + 5

Evaluate the like terms

35

Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

Read more about expressions at:

brainly.com/question/723406

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4 0
2 years ago
Find the value of 7xº - (6x)".
docker41 [41]
7x - 1 + 6x - 1 = 180
13x - 2 = 180
13x = 182
x = 14
6 0
2 years ago
Read 2 more answers
Find the missing side length
Slav-nsk [51]

Answer:

x ≈ 4.8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle measure = 58°

Adjacent side of angle = <em>x</em>

Hypotenuse = 9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [cosine]:                    cos58° = x/9
  2. Isolate <em>x</em>:                                     9cos58° = x
  3. Evaluate:                                     4.76927 = x
  4. Rewrite:                                      x = 4.76927
  5. Round:                                        x ≈ 4.8
5 0
3 years ago
Read 2 more answers
Solve the equation -9x+1=-x+17​
Step2247 [10]

Answer:

x=-2

Step-by-step explanation:

-9x+1=-x+17

Add 9x on both sides:

     1=8x+17

Subtract 17 on both sides:

   -16=8x

Divide both sides by 8:

     -2=x

Check x=-2!

-9x+1=-x+17     with x=-2

-9(-2)+1=-(-2)+17

18+1=2+17

19=19

19=19 is a true equation so x=-2 is correct.

5 0
3 years ago
Read 2 more answers
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
3 years ago
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