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2 years ago

Fill in the gaps in the arithmetic sequence -3, _ ,_ , _, _, _ 12

Mathematics

1 answer:

lord [1]2 years ago

8 0

Answer:

-0.5, 2, 4.5, 7, 9.5

Step-by-step explanation:

The given terms are 6 apart, so the common difference is 1/6 of their difference:

d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5

Add 2.5 to each term to get the next one. Then the sequence is ...

-3, -0.5, 2.0, 4.5, 7.0, 9.5, 12

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A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his brea

fgiga [73]

First break= 1/2
second break = 1/2 of half= 1/4
third break = half of 1/4 = 1/8
forth break = 1/2 of 1/8 = 1/16
fifth break = 1/2 of 1/16 =1/32
fraction painted = 1 -1/32 =31/32
portion painted = 150*31/32 = 145.3125 ft^2

3 0

2 years ago

Simplify the following expression, if you can see the picture the expression is as follows:

Kobotan [32]

$\sqrt{40}=2 \sqrt{10}$ and $\sqrt{90} = 3\sqrt{10}$ , so we have $\sqrt{10}(2-1+3)$ . which is $4 \sqrt{10}$ .

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1 year ago

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning

avanturin [10]

Simplifying –8.3 + 9.2 – 4.4 + 3.7.

Identify and explain any errors in his work or in his reasoning

Original problem 1. −8.3 + 9.2 + 4.4 + 3.7

Additive inverse 2. −8.3 + 4.4 + 9.2 + 3.7 (error, not additive inverse; +3-3=0)

Commutative property 3. −8.3 + (4.4 + 9.2 + 3.7)

Associative property 4. −8.3 + 17.3

Simplify 5. 9

8 0

2 years ago

Read 2 more answers

I need the answer on number 5

luda_lava [24]

I believe Z=18
Example:
2/3z + 1 = 13
Multiply both sides: 2/3z * 3 + 1 * 3 = 13 * 3
Refine: 2/3z + 3 = 39
Subtract from both sides: 2z + 3 - 3 = 39 - 3
Refine: 2z=36
2z/2 = 36/12
Z=18

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2 years ago

Place the LETTER of each value in its location in the real number system below

KiRa [710]

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting numbers, sometimes including 0.

8 0

2 years ago