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Alexandra [31]
3 years ago
10

(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

  • Unit price of a 2-liter bottle of soda: \$0.028\ per\ ounce
  • Unit price of a case of twelve 12 ounce  cans: \$0.021\ per\ ounce
  • The better bargain is the case of 12 ounce cans.

Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y"  the unit price (price/ounce) of the soda in the case  of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda  is equal to 67.6 ounces.

2. That bottle costs  $1.89

Then, the unit price is:

x=\frac{1.89}{67.6}\\\\x\approx0.028

3. There are 12 ounce  cans in the case. Then the total ounces is:

12\ oz*12=144\ oz

4. It costs $2.99.  So the unit price is:

y=\frac{2.99}{144}\\\\y\approx0.021

Since:

y

The better bargain is the case of 12 ounce cans.

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Find the non-permissible replacement for x in the expression<br> 3-x/ 6+x
Mumz [18]

Answer

x=3

Step-by-step explanation:

Equate the equation to zero

3-x/6+x=0

Cross multiply

3-x=0

Add x to both sides

x=3

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3 years ago
Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black
horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

Brown socks =4

Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.

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3 years ago
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lapo4ka [179]

Answer:

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Step-by-step explanation:

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Solve the second equation.<br>2x - y = 8<br>First, solve for (-y).<br>--y =<br>​
kicyunya [14]

Answer:

-y=-2x+8\\y=2x-8

Step-by-step explanation:

To solve, first subtract 2x from both sides.

2x-y=8\\-y=-2x+8

You appear to want the solution for -y, so I've included it. Given that you also want the solution for y, divide both sides by -1.

-y=-2x+8\\y=2x-8

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Answer:

F- the first answer choice

Step-by-step explanation:

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