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Savatey [412]
3 years ago
11

Which decimal represent the location of the x on the number line

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
Point X location is at 76/100=0.76

the answer is the option C) 0.76
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8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
Harper goes to a store an buys an item that costs x dollars. She has a coupon for 30% off, and then a 6% tax is added to the dis
iragen [17]
Not enough information- the coupon will only be worth 24% after tax though.
5 0
2 years ago
Read 2 more answers
The length of the transverse axis is 6 and the length of the red line segment is 14 how long is the blue line segment
lapo4ka [179]

Answer:

8

Step-by-step explanation:

it is not longer then the red line or equal but is bigger then the green line so there is how i got 8

6 0
3 years ago
Read 2 more answers
If I had $500 dollars sent in the mail and then I spent 400 dollars on groceries how much will I have left.
ollegr [7]
You would have 100 dollars left
6 0
3 years ago
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PLS HELP ME ASAP WITH 1, 2, 5, 6, 11, and 12 PLS!!
melamori03 [73]
1-

number 2) is correct





2- 3) is true



11) Jacob is not correct. because 6radical 5 is irrational



12) radical 20 is an irrational number but

so a+b is irrational



but
\sqrt{225}  = 15 \\ it \: is \: rational

so b+c is rational



good luck
8 0
3 years ago
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