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cricket20 [7]
3 years ago
14

Which graph represents the solution set for the inequality 16 ≥ -3x + 4 > -17?

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
It is either graph 2 or3
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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50
Drupady [299]

The company picnic cost $ 1300 for 80 employees

<em><u>Solution:</u></em>

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

cost \propto \text{ number of employees attending picnic }

c \propto n\\\\c = kn

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>

Therefore substitute c = 487.50 and n = 30

487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25

<em><u>How much does a company picnic cost for 80 employees?</u></em>

Substitute n = 80 and k = 16.25 in eqn 1

c = 16.25(80) = 1300

Thus $ 1300 is the cost for 80 employees

5 0
3 years ago
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

20x - 8x = 120

12x = 120

Solve for x

x = \frac{120}{10}

x = 10

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

4 0
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Advocard [28]

Answer:

n must be greater than 5 for the product to be greater than 10.

Step-by-step explanation:

10 times 2/5 = 4 (no)

10 times 6/5 = 12 (yes)

10 times 5/5 = 10 (no)

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Answer:

At the end of 20 years, your savings will have grown to $16,036. You will have earned in $11,036 in interest.

Step-by-step explanation:

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Answer:

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