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ruslelena [56]
3 years ago
12

Write an inequality to represent the following scenario: Hagrid’s goal at the National Hotdog Eating Contest is to consume 32 ho

tdogs in 3 minutes. The number of hotdogs (h) he can actually consume in 3 minutes varies no more than 5 hotdogs.
Mathematics
2 answers:
kotykmax [81]3 years ago
6 0

To find the value of a variance add and subtract the variance from the original number.

The original number is 32 hot dogs.

The variance is 5 hot dogs.


32-5 = 27

32 + 5 = 37


This means he needs to eat between 27 and 37 hot dogs.


he inequality with variance is written as: 27 < h < 37

Advocard [28]3 years ago
4 0

Answer:

27<HD<37

Step-by-step explanation:

Variance is the noun form of varies. If you change the sentence around so that you are using varies, it will come out the same way as variance does. It's all in the grammar.

So what the question is saying is that  Hagrid normally will eat 32 hot dogs in 3 minutes (you have to be kidding me -- no one can do that) with a variation (or difference) of 5 hot dogs on either side of 32.

So the high and low he can eat in 3 minutes is

27 < HD < 37

which means that in 3 minutes he can eat anywhere from 27 to 37 hot dogs.  

What I am going to say next is meant in the gentlest way possible. It's not criticism. It's just advice.  

You did extremely well to pin point what your problem was. That will take you a long way in any course. It gives us (those of us that offer answers including your teachers) a clue (a huge clue) to what you don't understand and we can try to fix it. So you did exactly the right thing that a student should do. You pointed right at the problem.

The fix for this problem is to look up the meaning of the word you don't understand. Dictionaries may not have an understandable answer (often they define a word with a more complicated word), but now you are much better equipped to ask again.

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A diagonal of a cube goes from one of rhe cube's top corners to the opposite corner of the base of the cube. Find the length of
miss Akunina [59]
So we are trying to find this red line's length.

We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.

So the blue leg is a hypotenuse for two of the edges. So:

blue^2 = leg^2 + leg^2 from the Pythagorean Theorem
OR
blue =  \sqrt{leg^2 + leg^2}

Which works out to:

blue =  \sqrt{10^2 + 10^2} =  \sqrt{100+100} = \sqrt{200} =  \sqrt{(100)(2)}=10 \sqrt{2}

So now that we have that, using the Pythagorean Theorem again gives:

red =  \sqrt{blue^2 + 10^2} =  \sqrt{(10 \sqrt{2})^2+10^2}= \sqrt{200+100}= \sqrt{300}
\sqrt{300}= \sqrt{100*3}=10 \sqrt{3}

So the length of the red line is found that way.

But wait!  There's more!

As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:

a^2 + b^2+c^2=d^2

Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:

d =  \sqrt{10^2+10^2+10^2} = \sqrt{100+100+100} =  \sqrt{300}

which gives the same answer as above, which you can see.

3 0
3 years ago
What is 7981 km and 943 m in milametres?
lakkis [162]
7 981 943 000 Millimeters
5 0
3 years ago
Read 2 more answers
K = mv / 2 solve for m . HELP PLEASE HURRY!
Aleksandr-060686 [28]

9514 1404 393

Answer:

  m = 2k/v

Step-by-step explanation:

Identify the coefficient of m (v/2) and multiply by its inverse (2/v).

  (2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v

  2k/v = m . . . simplify

  m = 2k/v

3 0
2 years ago
HELPPPPP ME PLEASEEEE
Ne4ueva [31]

Answer:

y =  \sqrt{85}

Step-by-step explanation:

(11)²=(6)²+ (y)²

121=36 +(y)²

y² =121 –36

y²=85

y =  \sqrt{85}

4 0
3 years ago
Pls help I’ll brainlest ASAP and add extra points I’m failing
Step2247 [10]

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

3 0
2 years ago
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