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slava [35]
4 years ago
12

Which inequality is true? Use the number line to help.

Mathematics
1 answer:
jolli1 [7]4 years ago
4 0

Answer:

  c. -1.5 < -0.5

Step-by-step explanation:

a. -1.5 > 0.5 . . . . false

b. -0.5 > 0 . . . . . false

c. -1.5 < -0.5 . . . TRUE

d. 1/2 > 0.5 . . . . false (these are the same number) 1/2 = 0.5

_____

In order on the number line from left to right, you will see ...

  (left end) ... -1.5 ... -0.5 ... 0 ... 0.5 ... (right end)

__

The inequality relation appropriate to these is ...

  (number on the left) < (number on the right)

Of course, this can be swapped around so you have ...

  (number on the right) > (number on the left)

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4^2/4^6<br><br> Options:<br> 4^-3<br> 4^3<br> 4^-4<br> 4^4
Vlad [161]
Hello!

The rule regarding the division of exponents states the following:

\frac{ B^{x} }{ B^{y} } = B^{x-y}

Insert any known values into the formula above:

\frac{ 4^{2} }{ 4^{6} } = 4^{2-6}

Simplify the expression:

4^{2-6} = 4^{-4}

We have now proven that \frac{ 4^{2} }{ 4^{6} } is equal to 4^{-4}.

I hope this helps!
8 0
3 years ago
Read 2 more answers
Use prime factorization to reduce each fraction 1. 22/165 2. 35/210
yKpoI14uk [10]

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is:

22=2\times11

Similarly, for 165, 35 and 210 we have

\begin{gathered} 165=3\times5\times11 \\ 35=5\times7 \\ 210=2\times3\times5\times7 \end{gathered}

Then, we can solve the given questions.

Question 1.

\frac{22}{165}=\frac{2\times11}{3\times5\times11}

so we can cancel out the number 11 and get

\frac{22}{165}=\frac{2}{3\times5}=\frac{2}{15}

Then, the answer is

\frac{2}{15}

Question 2.

\frac{35}{210}=\frac{5\times7}{2\times3\times5\times7}

and we can cancel out the number 5 and 7, then we obtain

\frac{35}{210}=\frac{1}{2\times3}

then, the answer is

\frac{1}{6}

5 0
1 year ago
What is the equal value of 5 to the square of 7
ella [17]
The equal value is 78125
3 0
4 years ago
coleton measures the sides of a rectangle piece of plywood. one side is 72.6 inches long, and the shorter side is 36 inches long
yarga [219]
The answer is 2613.6
4 0
3 years ago
What is the number of ways to arrange 6 objects from a set of 10 different objects
bagirrra123 [75]
<span>10!/(10-6)! =
3628800/24 =
151200
</span> So the answer is 151200
6 0
4 years ago
Read 2 more answers
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