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Agata [3.3K]
3 years ago
12

Find the unit price (in dollars per ounce) of the product. (Round your answer to two decimal places.) A 64-ounce bottle of juice

for $2.16
Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

$0.03 per ounce

Step-by-step explanation:

2.16/64 = .03375 rounded to .03

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Solve y = −23(x + 9) + 4 for x when y = 0.
Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

y = -23(x + 9) + 4

y = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                  0 = -23(x + 9) + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                        -4 = -23(x + 9)
  3. [Division Property of Equality] Divide -23 on both sides:                                4/23 = x + 9
  4. [Subtraction Property of Equality] Subtract 9 on both sides:                        -203/23 = x
  5. Rewrite:                                                                                                             x = -203/23
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3 years ago
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Find the missing number 1:2 = 3: ____
Llana [10]
1:2=3:6
the missing number is 6
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3 years ago
The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three
Kitty [74]
The sum of the first n natural numbers and 0=
n*(n+1)/2
8 0
3 years ago
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A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr
Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N      Mass of the man,(m)= \frac{W}{g} = \frac{748}{9.8} = 76.32 kg

Radius of the pond (r) = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is V_m .

Now using law of conservation of momentum we can find the V_m value.

m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)

Considering V_m_(_f_)=V_m

And initial velocity of both the man and book i.e V_b_(_i_)=0,\ V_m_(i_)=0

So,

⇒ 0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m

⇒ Plugging the values.

⇒ V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}

⇒ V_m=-\frac{1.2\times 4}{76.32}

⇒ V_m=-0.062 ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, V_m = 0.062

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know velocity(v)\times time(t) = distance(d)

Let the time taken be t and v\times t = d and d=r then, V_m\times t=r

Then

⇒ t=\frac{radius\ (r)}{V_m}

⇒ Plugging the values.

⇒ t=\frac{4}{0.062}

⇒ t =64 sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0
3 years ago
Why equals 2X plus 7Y equals 5X +4 graph the answer
nevsk [136]
You can graph the answer on cymath.com

3 0
3 years ago
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