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Paraphin [41]
3 years ago
6

...*PLZ HELP* This goes for ALL answers >...Given the following word problems, write an inequality that models the problem, t

hen solve and check.
.1. 18 people are in a swimming pool. The maximum capacity for the swimming pool is at most 54 people. How many people can still enter the swimming pool?

.2. Rob earns $6 for each umbrella he sells. He wants to make at least $66. How many umbrellas does he need to sell?



.4. An amusement park needs more than 15 roller coaster rides working before they can open. Currently, 6 rides are working. How many more rides need to be working for the park to open?

.5. A basketball coach wants less than 54 players at the basketball camp. Currently, 42 players are registered for the camp. How many more players can register?
Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

See below

Step-by-step explanation:

1.

  • 18 + x ≤ 54
  • x ≤ 54 - 18
  • x ≤ 36
  • 36 more people at most

2.

  • 6x ≥ 66
  • x ≥ 66/6
  • x ≥ 11
  • At least 11 umbrellas

4.

  • 6 + x > 15
  • x > 15 - 6
  • x > 9
  • More than 9 rides

5.

  • 42 + x < 54
  • x < 54 - 42
  • x < 12
  • Up to 12 more players
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Two urns both contain green balls and red balls. Urn I contains 6 green balls and 4 red balls and Urn II contains 8 green balls
34kurt

Presumably, whatever is drawn from Urn I is independent of what is drawn from Urn II. This means

P(\text{red from Urn 1 AND red from Urn 2})=P(\text{red from Urn 1})\cdot P(\text{red from Urn 2})

We have

P(\text{red from Urn 1})=\dfrac4{10}=\dfrac25

P(\text{red from Urn 1})=\dfrac7{15}

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3 0
3 years ago
the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

h = 4\sqrt{7}

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4 years ago
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3 years ago
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How many pounds go into 2. 5 tons
Nastasia [14]
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7 0
3 years ago
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What is the missing length??
amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

15 + x : 20= x : 8

Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

120 + 8x = 20x

Collect Like Terms

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Solve for x

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<em>The length of the missing side is 10</em>

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3 years ago
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