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Triss [41]
3 years ago
5

Travis has a budget of $300 that he can spend on perennial flowers and at least 6 annual flowers. Perennial flowers are 18 dolla

rs per plant and annual flowers are 15 dollars per plant. Let x be the amount spent on perennial flowers, and let y be the amount spent on annual flowers. What system of inequalities describes this situation?
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

  • 18x + 15y ≤ 300
  • x ≥ 0; y ≥ 6

Step-by-step explanation:

Variables are defined in the problem statement.

  18x +15y ≤ 300 . . . . total budget

  y ≥ 6 . . . . . . . . . . . .  minimum number of annuals

  x ≥ 0 . . . . . number of perennials cannot be negative

This system of inequalities describes the situation.

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Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH
Pie

Answer:

GH = 20

Step-by-step explanation:

We have that

FH = FG + GH ← substitute values

4x + 8 = x + 5x

4x + 8 = 6x ( subtract 4x from both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Hence GH = 5x = 5 × 4 = 20GH = 20

7 0
2 years ago
Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1
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Answer:

<em>22.62°</em>

Step-by-step explanation:

Considering △ABC.  If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

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BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

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B = arccos (12/13)

B =22.62

<em>Hence the angles that make sinB = cosB is 22.62°</em>

6 0
3 years ago
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Can you write nine proper fraction and nine improper fractions using 3, 5, and 8
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Show how you found the slope and y-intercept
Irina-Kira [14]

Answer:

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y-intercept: 0

Step-by-step explanation:

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(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

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y = mx + b

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5 = \frac{5}{2}(2) + b

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0

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Answer:

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