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Sergeu [11.5K]
3 years ago
14

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

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3) Consider the sequence -11 ; 2sin3x ; 15; ...
DiKsa [7]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

8 0
3 years ago
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from
Leona [35]

Answer:

A' =(-y,x)

Step-by-step explanation:

Given

Represent point A as thus;

A = (x,y)

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Pos = (y,x)

Then, y is negated to give A'

A' =(-y,x)

5 0
3 years ago
If sales tax is 7.75%, what is the total cost of an 11$ purchase including tax?
Akimi4 [234]

Answer:

$11.8525

Step-by-step explanation:

To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.

7 0
3 years ago
Read 2 more answers
What would the inequality be if there are fewer than 10 yards of fabric left?
jasenka [17]
If i am understanding the question correctly, x<10
8 0
4 years ago
Read 2 more answers
Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5
aivan3 [116]
The answer would be 413,000,000 and 4,000
3 0
3 years ago
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