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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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Answer:

14.4

Step-by-step explanation:

sin x = 24/30

x = sin^-1 (24/30) = 53.13

sin 53.13 = x/18

x = sin 53.13 x 18 = 14.4

6 0
2 years ago
HELP MEEEEEEEEEEEE PLZ
hodyreva [135]

Answer:

The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

5 0
3 years ago
Select all quantities that are proportional to the diagonal length of a square.
horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is n^{2}
  • Perimeter of a square is 4×n
  • diagonal length of a square is \sqrt{2} × n

Thus,

Perimeter of square can be expressed as

2\sqrt{2}×diagonal length of a square

Side length of a square can be expressed as

\frac{1}{\sqrt{2} }×diagonal length of a square

but Area of square is

\frac{1}{\sqrt{2} }×n×diagonal length of a square

As a Result,  Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

5 0
3 years ago
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks
shepuryov [24]

Answer:

the correct answer would be A. the mean is when you add up all of them and divide it by how many numbers there are which in this case is 5. and the median is the number in the middle, in this case 20, therefore when you add up all numbers in A ,you get 105 and you divide it by 5 which gives you 21. :))

6 0
3 years ago
F(n+1)=f(n)-5. If f(1)=100, what is f(6)
PilotLPTM [1.2K]

Answer:

<em>75</em>

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

8 0
3 years ago
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