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Vlada [557]
2 years ago
9

A is directly proportional to b, and a = 14 when b = 42. Write a direct

Mathematics
1 answer:
Natali [406]2 years ago
5 0

Answer:

a is to be as b as 1 is to 3 (a:b as 1:3)

Step-by-step explanation:

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The number of employees for a certain company has been decreasing each year by 7​%. If the company currently has 790 employees a
Vikki [24]

Answer:

The number of employees in 8 years  is  442

Step-by-step explanation:

Given:

Decreasing rate = 7%

Current number of employees = 790

To Find:

The number of employees after 8 years is this same rate continues =?

Solution:

Let the number of employees after 8 years be x

The current number of employees is:

790(1-0.07)^0=790---------------------------------(1)

since the decrase rate is 7% we use 0.07

So after 8 years , eq (1) can be rewritten as

790(1-0.07)^8= x

790(0.93)^8= x

790 \times 0.5595= x

x= 442.005

x= 442 (approx)

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3 years ago
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The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 95% p
enot [183]

Answer:

14 pints of 20% juice

56 pints of 95% juice

Step-by-step explanation:

Let

x be pints of 20% pure fruit juice, thus

70 - x   will be pints of 95% pure fruit juice

The equation, thus can be written as:

20%x + 95% (70-x) = 80% (70)

Solving for x:

(0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

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Step-by-step explanation:

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