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Dennis_Churaev [7]
4 years ago
9

Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is

a measure of inequality, which we want to minimize as much as possible).
Mathematics
1 answer:
Alexeev081 [22]4 years ago
8 0

Hi, you've asked an incomplete question. Attached is the full question.

Answer:

<u>1. c and b</u>

<u>2. No. The definitions have opposite results.</u>

Step-by-step explanation:

1. Two different ways Analia could define this quantity is:

  • <em>SAT range divided by budget per student</em>
  • <em>SAT range divided by teachers per student.</em>

2. Indeed, whatever the definition selected, they both have opposite results.

<em />

<em />

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You are making 5 Autumn Classic bouquets for your friends. You have $610 to spend and want 24 flowers for each bouquet. Roses co
BaLLatris [955]

There are 16 roses, 2 tulips, and 6 lilies in each Autumn Classic bouquet

Step-by-step explanation:

The information in the problem:

1. You have $610 to make five Autumn Classic bouquets for your friends

2. Each bouquet has 24 flowers

3. Roses cost $6 each, tulips cost $4 each, and lilies cost $3 each

4. You want to have twice as many roses as the other 2 flowers

    combined in each bouquet

We need to find how many roses, tulips, and lilies you include in each

Autumn Classic bouquet

Assume that the number of roses is R, the number of tulips is T and

the number of lilies is L in each bouquet

∵ There are R roses, T tulips and L lilies in each bouquet

∵ The number of flowers in each bouquet is 24

∵ R + T + L = 24 ⇒ (1)

∵ He has $610 to make the 5 bouquets

∴ He spends in each bouquet = 610 ÷ 5 = $122

∵ Each rose costs $6

∵ Each tulip costs $4

∵ Each Lillie costs $3

∴ 6R + 4T + 3L = 122 ⇒ (2)

∵ The number of roses is twice the sum of the numbers of the

   other 2 flowers

∴ R = 2(T + L)

∴ R = 2T + 2L ⇒ (3)

Substitute R in equations (1) and (2) by equation (3)

∵ (2T + 2L) + T + L = 24

- Add like terms in the left hand side

∴ 3T + 3L = 24 ⇒ (4)

∵ 6(2T + 2L) + 4T + 3L = 122

∴ 12T + 12L + 4T + 3L = 122

- Add like terms in the left hand side

∴ 16T + 15L = 122 ⇒ (5)

Let us solve the system of equations to find the values of T and L

Multiply equation (4) by -5 to eliminate L

∵ (-5)(3T) + (-5)(3L) = (-5)(24)

∴ -15T - 15L = -120 ⇒ (6)

Add equations (5) and (6)

∴ T = 2

- Substitute the value of T in equation (4) to find L

∵ 3(2) + 3L = 24

∴ 6 + 3L = 24

- Subtract 6 from both sides

∴ 3L = 18

- Divide both sides by 3

∴ L = 6

Substitute the values of T and L in equation (3) to find R

∵ R = 2T + 2L ⇒ (3)

∴ R = 2(2) + 2(6)

∴ R = 4 + 12

∴ R = 16

There are 16 roses, 2 tulips, and 6 lilies in each Autumn Classic bouquet

Learn more:

You can learn more about solving the system of equations in

brainly.com/question/13168205

brainly.com/question/9045597

#LearnwithBrainly

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