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Zinaida [17]
3 years ago
7

On a number line what is the distance between −61.5 and -23.4

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0
In order to find the distance between -61.5 and -23.4 on the number line, you just have to subtract either the greater value to lesser value or lesser value to the greater value.  It doesn't matter when you get a negative difference because the distance should be the absolute value of the difference of two points on a number line.
Here's how you should do it.
   (-61.5) - (-23.4) = -61.5 + 23.4 =  l-38.1l = 38.1
or
   (-23.4) - (-61.5) = -23.4 + 61.5 = l38.1l = 38.1

As you can see above, I tried to subtract the two numbers in different order, and the result is still the same. Just make sure to get the absolute value of the answer because the distance should always be in positive form.

Therefore, the distance between -61.5 and -23.4 is 38.1
  

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What is 1/4 (5y-3)+1/16 (12y+17
netineya [11]

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

 

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

<span>y = 0.15625</span>

6 0
3 years ago
Order from least to greatest
Orlov [11]
Answer: 
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>; 

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 =  ¼ l  (less than "1"); the lowest of the three given values. 

The remaining two values have the same whole number of 3, and a fraction:
   3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40.   ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40.  3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;  
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖; 
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

7 0
3 years ago
How to factor this expression <br><br>x^3 - 4x^2 + 4x - 16
Natalija [7]
X²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)
8 0
3 years ago
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
ICE Princess25 [194]

Answer:

Step-by-step explanation:

5 0
2 years ago
Roy purchased different cardboard pieces that had the same ratio of the length to the width. The table below shows the length an
Alexxandr [17]
6 to 5, 12 to 10, 18 to 15, 24 to 20, x to 25

Let's take a look at x/25 ratio, which has to be equal 6/5.

\frac{x}{25}= \frac{6}{5}  \\&#10;25*6=5x\\&#10;5x=150\\&#10;x=30

The answer is 30 inches.
7 0
3 years ago
Read 2 more answers
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