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Aleonysh [2.5K]
2 years ago
7

Solve this question with full working and explanation and I will mark you as brainliest. ​

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
7 0

<u>Answer:</u>

The hand moved \bf \frac{3}{4} of a complete turn.

<u>Step-by-step explanation:</u>

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \frac{1}{12} turns

9 hours     ⇒     \frac{1}{12}  × 9 = \frac{9}{12}

                                     = \bf \frac{3}{4} turns    (simplified)

∴ The hand moved \bf \frac{3}{4} of a complete turn.

Simora [160]2 years ago
7 0

The answer is  \boxed{\frac{3}{4}}.

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

  • Hours covered between 3 and 12 : 12 - 3 = 9
  • Hours covered in a complete turn = 12
  • Fraction of a complete turn it moved : 9/12 = 3/4
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Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . H
anastassius [24]

Answer:

Allan can order them from least to greatest.

Step-by-step explanation:

8 0
4 years ago
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Find the average of 8.4 7.5 12.9 and 10.6 also the method how to do it​
SashulF [63]
Find the average :8.4+7.5+12.9+10.6 divided by four
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3 years ago
If f(x)=-5x-11, then f^-1(x)=
Ludmilka [50]
F^-1(x) is the inverse so...
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7 0
4 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
3x - 3 = 15 <br>ASAP.........​
bagirrra123 [75]

Answer:

x = 6

Step-by-step explanation:

3x - 3 = 15

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3x = 18

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x = 6

hope it helps!

8 0
3 years ago
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