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ruslelena [56]
2 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]2 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]2 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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The dimensions of a square prism are 2 centimeters by 2 centimeters by 12 centimeters. What is its surface area?
Pani-rosa [81]

Answer:

The  surface area of the square prism is 104\ cm^{2}

Step-by-step explanation:

we know that

The surface area of the square prism is equal to  

SA=2b^{2} +4bh

where

b is the length side of the square base

h is the height of the prism

In this problem we have

b=2\ cm

h=12\ cm

substitute

SA=2(2)^{2} +4(2)(12)=104\ cm^{2}

7 0
3 years ago
Help please, I attached the question. Is it a!? <br> 
AVprozaik [17]

Answer:

A

Step-by-step explanation:

Recall that for a quadratic equation of the form:

0=ax^2+bx+c

The number of solutions it has can be determined using its discriminant:  

\Delta = b^2-4ac

Where:

  • If the discriminant is positive, we have two real solutions.
  • If the discriminant is negative, we have no real solutions.
  • And if the discriminant is zero, we have exactly one solution.

We have the equation:

2x^2+5x-k=0

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

b^2-4ac=0

Substitute:

(5)^2-4(2)(-k)=0

Solve for <em>k</em>. Simplify:

25+8k=0

Solve:

\displaystyle k = -\frac{25}{8}

Thus, our answer is indeed A.

3 0
2 years ago
Read 2 more answers
Can someone help me plz and the last two that you couldn’t see was ( c- 1 1/3 ) and ( D- 1 1/9)
prisoha [69]

Answer:

B 9/10

Step-by-step explanation:

3/5 ÷2/3

Copy dot flip

3/5 * 3/2

9/10

5 0
3 years ago
A study concludes that 15 percent of all college students attend a gym class. Which of the following statements is true? 15 perc
yanalaym [24]
I think it is 15 percent is a statistic.
I am not 100% sure if it is right or not but I hope it helps!
4 0
3 years ago
Read 2 more answers
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
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