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Arisa [49]
3 years ago
6

Peter collected 171 marbles but lost 3/4 of them on his way home through of hole in his bag when he arrived at home now many mar

bles did Peter have left?​
Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0
The answers is 43 since 171 divided by 4 is 42.75. So then multiply that by 3. and subtract that from 171. and u get ur answer which is 43
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Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number
bezimeni [28]

After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.

<h3>What is Equation Modelling?</h3>

Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.

Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.

Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-

2(x - 9) = 3(x + 6)

2x - 18 = 3x + 18

x = - 36

Therefore, the number is -36.

To solve more questions on Equation modelling, visit the link below-

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8 0
9 months ago
What can be concluded about the sequence 19, 15, 11,
Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.
  • The next term in the sequence is represented by point (4, 3).
  • f(x) = –4x + 19 represents the sequence.
  • An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

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4 0
2 years ago
Why is 21 over 30 bigger than 2 over 3?
Nikitich [7]
21/30 simplifies to 2.1/3 so it's a little bit bigger
3 0
3 years ago
Read 2 more answers
If f(x) = 5x - 11, find f(-2m + 5)
sukhopar [10]

f(-2m + 5)=5(-2m+5)-11=-10m+25-11=-10m+14

8 0
3 years ago
Which expression is not equal to the number 0? Group of answer choices 5 - 5 -8 - (-8) 6 - (-6) -7 + 7
Sedbober [7]
6 - (-6)
This is because two negatives make a positive, so you’ll be adding 6+6 which equals to 12 not 0
3 0
3 years ago
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