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Mademuasel [1]
3 years ago
13

Which of the following number has terminating has terminating decimal expansion ?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
It would be (b) 3/5 because
Terminating decimal is a decimal with a definite amount of digits, meaning that it stops after a certain digit.
The other answers:
(A) 3/7 = 0.42857143.....
(C) 1/3 = 0.333333333333.....
And (D) = 0.27272727272.....

And only 3/5 (B) stops after a certain digit because it's decimal value is 0.6.
Hope this helps!
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Which statements about the system are true?
Kruka [31]

2 Answers:

  • B)  The lines are parallel
  • C)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

5 0
3 years ago
In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how ma
Angelina_Jolie [31]
The answer is 5,7000
7 0
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Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o
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4 0
3 years ago
Read 2 more answers
The distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
Westkost [7]
11,2 is the answer i believe
4 0
2 years ago
Read 2 more answers
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
8_murik_8 [283]

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

7 0
3 years ago
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