1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlekseyPX
3 years ago
8

VOLUME A standard shipping box measures x inches high. The width is 3.5 inches more than the height, and the length is 3 inches

less than the height. The volume of the box is 561 cubic inches.
Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

62.333 inches

Step-by-step explanation:

To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:

x*3.5*3=561 cubic inches

To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187

To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.

We are left with x = 62.333 inches.

Therefore, the height of the box is 62.333 inches

You might be interested in
Solve for x: −3 |x + 7| = −12
sdas [7]
-3|x + 7|=-12\quad |:(-3)\\\\|x+7|=4\\\\\\x+7=-4\qquad\vee\qquad x+7=4\\\\x=-4-7\qquad\vee\qquad x=4-7\\\\\boxed{x=-11\qquad\vee\qquad x=-3}
4 0
3 years ago
Read 2 more answers
If the eleventh term of a sequence is -4096, and the common ratio is -2, what is the second term of the sequence? A. -4 B. 4 C.
Jobisdone [24]

Answer:

B .4

Step-by-step explanation:

Hope this is your answer

5 0
3 years ago
Use a proof by contradiction to show that the square root of 3 is national You may use the following fact: For any integer kirke
Ierofanga [76]

Answer:

1. Let us proof that √3 is an irrational number, using <em>reductio ad absurdum</em>. Assume that \sqrt{3}=\frac{m}{n} where  m and n are non negative integers, and the fraction \frac{m}{n} is irreducible, i.e., the numbers m and n have no common factors.

Now, squaring the equality at the beginning we get that

3=\frac{m^2}{n^2} (1)

which is equivalent to 3n^2=m^2. From this we can deduce that 3 divides the number m^2, and necessarily 3 must divide m. Thus, m=3p, where p is a non negative integer.

Substituting m=3p into (1), we get

3= \frac{9p^2}{n^2}

which is equivalent to

n^2=3p^2.

Thus, 3 divides n^2 and necessarily 3 must divide n. Hence, n=3q where q is a non negative integer.

Notice that

\frac{m}{n} = \frac{3p}{3q} = \frac{p}{q}.

The above equality means that the fraction \frac{m}{n} is reducible, what contradicts our initial assumption. So, \sqrt{3} is irrational.

2. Let us prove now that the multiplication of an integer and a rational number is a rational number. So, r\in\mathbb{Q}, which is equivalent to say that r=\frac{m}{n} where  m and n are non negative integers. Also, assume that k\in\mathbb{Z}. So, we want to prove that k\cdot r\in\mathbb{Z}. Recall that an integer k can be written as

k=\frac{k}{1}.

Then,

k\cdot r = \frac{k}{1}\frac{m}{n} = \frac{mk}{n}.

Notice that the product mk is an integer. Thus, the fraction \frac{mk}{n} is a rational number. Therefore, k\cdot r\in\mathbb{Q}.

3. Let us prove by <em>reductio ad absurdum</em> that the sum of a rational number and an irrational number is an irrational number. So, we have x is irrational and p\in\mathbb{Q}.

Write q=x+p and let us suppose that q is a rational number. So, we get that

x=q-p.

But the subtraction or addition of two rational numbers is rational too. Then, the number x must be rational too, which is a clear contradiction with our hypothesis. Therefore, x+p is irrational.

7 0
4 years ago
Which statements are true for verifying the solution set of
Feliz [49]
The 3rd one . shows how to substitute "x" . The most frequent Way
8 0
3 years ago
Read 2 more answers
Determine whether each question is biased. explain your answer. 2.A beverage company conducts a survey in the lobby of a health
zheka24 [161]
2. a beverage company conducts a survey in the lobby of a health club to determine people's favorite beverage.

This question is biased, because certain drinks would be ruled out for being "unhealthy", such as soda, beer, etc. This means that healthier drinks, such as mineral water, electrolyte water, etc, would get more votes.


hope this helps
4 0
3 years ago
Other questions:
  • A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
    8·2 answers
  • darren places an 18 foot ladder so that it reaches 14 feet above the ground what is the distance between the wall and the base o
    14·1 answer
  • John has a roll containing 24 3/4 feet of wrapping paper. He wants to divide it into 11 pieces. First though he must cut off 5/6
    9·1 answer
  • Help!!!!! please!!!!!
    13·1 answer
  • On the first day of your garage sale, you earned 12x+9 dollars. The next day you earned 22x dollars. Is it possible you earned t
    15·1 answer
  • What would this problem be factored to ? a^2-b^2
    6·1 answer
  • Does a kite add up to 360?
    9·2 answers
  • A playground is to build in the shape of a rectangle with a length that is 5 feet less than twice the width. One of the shorter
    11·1 answer
  • Greg has $2 in a savings account that earns 5% interest, compounded annually.
    11·1 answer
  • 100 OOO 000<br><br> - 62431556
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!