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mars1129 [50]
3 years ago
14

Which of the following is the solution set to the inequality −25x+14>20?

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

Option C. x < -15

Step-by-step explanation:

<u><em>The correct inequality is</em></u>

-\frac{2}{5}x+14 >20

Solve for x

subtract 14 both sides

-\frac{2}{5}x+14-14 >20-14

-\frac{2}{5}x >6

Multiply by -1 both sides

\frac{2}{5}x < -6

Multiply by 5/2 both sides

x < -6(\frac{5}{2})

x < -15

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18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a
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Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

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Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

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5d = -30 + 15

5d = -15

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= -3

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Substitute d = -3 into (1)

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Sum of the first 15 terms

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