MATHEMATICS MIDDLE SCHOOL

Which list of values is ordered from least to greatest? A. –8, –|–4|, 0, |–2|

B. |–6|, 0, 4, –|–7|

C. –|3|, |–2|, 0, 5

D. |–10|, –|–7|, 3, |–9|

Answers

Answer 1
Answer: A is correct.

-8, -4, 0, 2

-|-4| becomes -(4) which becomes -4.
Answer 2
Answer: A is the answer, this is because -|-4| becomes (-4) and then stays -4

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Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.Complete the equation that represents Emily’s situation.

y = __ x + ___

Answers

The generic equation of the line is:

y = mx + b

Where,

m: slope of the line.

b: cutting point with vertical axis.

The slope of the line is given by:

m =(y2-y1)/(x2-x1)

m =(14-15)/(10-0)

m =-(1)/(10)

The cutting point with the vertical axis is:

b=15

Therefore, the equation of the line is:

y =-(1)/(10)x + 15

Answer:

the equation that represents Emily’s situation is:

y =-(1)/(10)x + 15
gradient= -1/10
y intercept= 15
y= -1/10x + 15

(Essay Question 7 Points)Suppose you roll a six-sided die two times hoping to get two numbers whose sum is even. What is the sample space? How many favorable outcomes are there?

Answers


Well I don't know.
Let's think about it:

-- There are 6 possibilities for each role.
    So 36 possibilities for 2 rolls.
    Doesn't take us anywhere.

New direction:
-- If the first roll is odd, then you need another odd on the second one.
-- If the first roll is even, then you need another even on the second one.
This may be the key, right here !

-- The die has 3 odds and 3 evens.

-- Probability of an odd followed by another odd = (1/2) x (1/2) = 1/4
-- Probability of an even followed by another even = (1/2) x (1/2) = 1/4

I'm sure this is it.  I'm a little shaky on how to combine those 2 probs.

Ah hah ! 
Try this:

Probability of either 1 sequence or the other one is (1/4) + (1/4) = 1/2 .

That means ... Regardless of what the first roll is, the probability of
the second roll matching it in oddness or evenness is 1/2 .

So the probability of 2 rolls that sum to an even number is 1/2 = 50% .

Is this reasonable, or sleazy ?

3.
+ 4(4x - 3) = 4(6x + 4) +4

Answers

Answer: -4

Step-by-step explanation:

Answer:

x= -29/8 or -3.625

Step-by-step explanation:

that is the answer

Trevor sees 8 red birds. He sees 5 more red birds than blue birds hkw many. Blue birds does trevor see

Answers

Trevor would see 3 blue birds because 8-5=3
3 blue birds since there all
Red

Is the square root of 130 rational or irrational? and where would it be located on a number line?

Answers

Let's start by the easiest question, the second.

We knoa that 11^2=121\ \textless \ 130\ \textless \ 12^2=144 hence \boxed{11\ \textless \ √(130)\ \textless \ 12}

Now let's try simplifying the square root of 130 : 130=2\cdot5\cdot13, which are all prime numbers that appear only once : the square root of 130 is irrational.

Need help with 4-6 I don't understand

Answers

(2)/(3)* (2)/(3)* (2)/(3)= (8)/(27)
in first example it says 10^4 = --- * --- * --- * ---- 
 there are 4 solutions so we take 4th root to 10^4 which = 10 
so 10^4 = 10 * 10 *10 *10 
in second example it says 8/27 = ---- * ----- * ----- 
there are 3 solutions so we take 3th root to 8/27 which = 2/3 
 so 8/27 = 2*3 * 2/3 * 2/3 
the third example it says 64 = --- *---- *------ 
3 solutions so we take 3th root to 64 which is = 4 
so 64 = 4 * 4 * 4
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