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joja [24]
3 years ago
9

Use the following pattern to answer the questions. 24.3, 24, 23.7, 23.4, ___,____. part A. ( what is the rule for the pattern?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
4 0

Answer

Option B. Subtract 0.3 from each term.

Step-by-step explanation:

If you follow the pattern 24.3-24=0.3

similarly 24-23.7=0.3

23.7-23.4=0.3

Conclusion : We will subtract 0.3 every time in order to get the new number.

vodka [1.7K]3 years ago
3 0

<em>Question 1: </em>

For this case we have the following pattern of numbers:

24.3, 24, 23.7, 23.4

It can be seen that subtracting 0.3 from the first number of the pattern gives 24.3-0.3 = 24\\

Equally if we subtract 0.3 successively we obtain:

24-0.3 = 23.7\\\\23.7-0.3 = 23.4\\\\23.4-0.3 = 23.1\\\\23.1-0.3 = 22.8\\

Thus, 0.3 must be subtracted from each term and the following numbers of the pattern shall be 23.1 and 22.8

Answer:

subtract 0.3 from each term

The next two numbers of the pattern are 23.1 and 22.8

<em>Question 2: </em>

For this case we have the following operation:

0.52 + 0.61 = 1.13\\\\1.13> 1\\

We note that the sum is greater than 1

The sum of two hundredth decimals does not necessarily have to be greater than 1.

Therefore, the correct option is: the sum is greater than 1 because the sum shades more than one hundredths grid.

Answer:

Option C

<em>Question 3: </em>

For this case we have to:

a + b + c = 2\\

Being a, b, c decimal numbers, one of them was 0.34. Suppose a = 0.34\\

Thus: 0.34 + b + c = 2\\

We choose values ​​for b and c, in order to obtain the number 2 as a result of the sum. We can choose infinite values ​​so that equality is fulfilled

Ifb = 0.96 and

c = 0.7\\

we have: 0.34 + 0.96 + 0.7 = 2\\

Thus, Holland can add to the sum b = 0.96 and c = 0.7\\

Answer:

b = 0.96\\\\c = 0.7\\

<em>Question 4: </em>

For this case we have the following subtraction:

3.5 - 2.46 = 1.16\\

This operation is wrong, subtracting 3.5-2.46 results in 1.04

Let's explain a model for Maysa:

We have the following expression

3.5 - 2.46\\

Rewriting each number in expanded form we have:

(3 + 0.5) - (2 + 0.46)\\

Using the distributive property we have:

(3 + 0.5) -2-0.46\\

Using the associative property we have:

(3-2) + (0.5-0.46)\\

Performing each operation:

1 + 0.04 = 1.04\\

Anwer:

The subtraction of Maysa is wrong, the correct answer is:

3.5 - 2.46 = 1.04

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A+b=21 b+c=24 c+d=32 d+e=37 e+f=31 f+g=25 g+a=26 find a,b,c,d,e,f,g,
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Answer:

a = 12

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Step-by-step explanation:

Given that

(a + b) = 21 ...... (1)

(b + c) = 24 ........ (2)

(c + d) = 32 ........ (3)

(d + e) = 37 ........ (4)

(e + f) = 31 .......... (5)

(f + g) = 25 ........ (6)

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Hence, from equation (8), we have b = 98 - 89 = 9 (Answer)

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a + b + d + e + f + g = 83,

Hence, c = 98 - 83 = 15 (Answer)

Now, adding equations (2), (5) and (7), we get

a + b + c + e + f + g = 81. Hence, d = 98 -81 = 17 (Answer)

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a + b + c + d + f + g = 78. Hence e = 98 - 78 = 20 (Answer)

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Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac
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Answer:

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Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

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y² is very common across the quadratic equation , hence

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