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Arada [10]
3 years ago
12

Allen is looking through his weekly local grocery store newspaper ads he notices that Costco is advertising a pack of 60 eggs fo

r $9.35 Safeway is advertising a dozen eggs for $4.79 and Trader Joe's is advertising a pack of 18 eggs for $6.18 which store is offering the better deal?​
Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0

Answer:

Costco

Step-by-step explanation:

We find the cost per egg for each of the three stores.

Costco:

$9.35/(60 eggs) = $0.15583/egg

Safeway:

$4.79/(12 eggs) = $0.39917/egg

Trader Joe's:

$6.18/(18 eggs) = $0.34333/egg

The best deal is Costco.

Artemon [7]3 years ago
6 0

Answer:

Costco

Step-by-step explanation:

\frac{60}{9.35}: \frac{1}{y}

60 × y = 1 × 9.35

60y = 9.35

60y ÷ 60 = 9.35 ÷ 60

y=\frac{187}{1200}

\frac{12}{4.79}: \frac{1}{y}

12 × y = 1 × 4.79

12y = 4.79

12y ÷ 12 = 4.79 ÷ 12

y=\frac{479}{1200}

\frac{18}{6.18}: \frac{1}{y}

18 × y = 1 × 6.18

18y = 6.18

18y ÷ 18 = 6.18 ÷ 18

y=\frac{103}{300}=\frac{412}{1200}

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MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
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  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

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Organizing the digits, we obtain the number:

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As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Factor the expression completely.
evablogger [386]

Answer:

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Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

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Answer:

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Step-by-step explanation:

The Flying saucer is in the shape of a circle.

Radius= 17 feet

Area of the circular flying saucer= \pi *r*r

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