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Bumek
2 months ago
13

Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 or

anges. They also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. We put this information into a system of linear equations.
Mathematics
2 answers:
tester [12.3K]2 months ago
7 0

Response:

No solution available

Step-by-step reasoning:

Different monetary amounts would be necessary to satisfy each equation.

babunello [11.8K]2 months ago
5 0

Response:

4a + 4b = 10

6a + 6b = 12

Step-by-step logic:

Translating the information into a system of linear equations:

Suppose we represent apples and oranges with any chosen variable

Let:

Apples = a; oranges = b

Four apples and four oranges equal $10

4a + 4b = 10

Six apples and six oranges equal $12

6a + 6b = 12

Thus, the system of linear equations can be expressed as:

4a + 4b = 10

6a + 6b = 12

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Sandy put $1000 in a savings account which pays 3% interest per year. After four years how much money will
Inessa [12570]

Step-by-step explanation:

Let 'P' represent the principal amount

'R' will stand for the interest rate

'T' indicates the time period

P = $1000

R = 3%

T = 4 years

We can compute the simple interest using,

Interest = (P x R x T) / 100

= (1000 x 3 x 4) / 100

= 12000 / 100

= $120

Thus, the simple interest over 4 years totals $120.

Total amount = P + Interest

= 1000 + 120

= $1120

Consequently, the account will have $1120 after 4 years.

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3 months ago
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A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at
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Because each share was originally purchased at 20 1/4, the gain per share when the price rises to 25 1/4 is (25 1/4 - 20 1/4) = $5.00. Selling 30 shares therefore yields a total profit of (30 x 5) = $150.00. Thus, the correct choice is C<span>.</span>
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2 months ago
Regular pentagonal tiles and triangular tiles are arranged in the pattern shown. The pentagonal tiles are all the same size and
zzz [12365]
Initially, you must determine the unknown measurements. The actual angle measurements in the hexagon are not specified; however, an expression is provided. First, solve for x to substitute it into the angle measurement. You should set the two provided sides equal: 20x+48=33x+9. After finding x, use it to calculate each angle measurement, leading to 108. Since the hexagon is regular, all angles are equal. Observing the angle at the top exposes two triangles and the angle itself. As it forms a straight line, the total equals 180. You already know the hexagon's angle measurement and lack the triangle measurements. Therefore, 180-108=72. The missing angle part is 72. To find each triangle's angle measurement, divide this by 2, resulting in 36 degrees. 
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2 months ago
"The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N obj
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Options

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  • Counting rule for combinations
  • Counting rule for independent events

Answer:

(C) Counting rule for combinations

Step-by-step explanation:

To find the number of outcomes when selecting n objects from N objects, we apply either permutation or combination.

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  • On the other hand, if the order of selection does not matter, we opt for combination.

Thus, the counting method employed for determining experimental outcomes when selecting n objects from N objects without regard to selection order is referred to as the counting rule for combinations.

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