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2 years ago

6

a park bench is located 16 3/4 feet due north of an elm tree. a fountain is located 9 1/2 feet due south of the same elm tree. w

hats is the distance in feet between the park bench and the fountain?

1 answer:

Tju [1.3M]2 years ago

4 0

26 1/4 ft between the park bench and fountain

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Estimate the unit rate to the nearest hundredth.<br><br> $1.19 per 12fl oz price of 1 fl oz

Korvikt [17]

To find the unit rate you need to divide the 1.19 by 12 so that the ounces would be the price per 1 ounce.
1.19/12 = .099 per ounce
Since we are talking about money your answer needs to be rounded to TWO decimals unless told otherwise.
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Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%

ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

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2 years ago

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Answer:

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We can ignore Piroxicam, because it comes in capsules.

1. Number of Glucotrol tablets

Marilyn takes one tablet per day.

$\text{No. of tablets} = \text{8 da} \times \dfrac{\text{1 tab}}{\text{1 da}} = \text{8 tab}$

2. Number of Isoniazid tablets

Marilyn takes three tablets per day.

$\text{No. tablets} = \text{8 da} \times \dfrac{\text{3 tab}}{\text{1 da}} =\text{24 tab}$

3. Total tablets

Total tablets = 8 tab + 24 tab = 32 tab

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Answer:

$y=12.5x+225$

Step-by-step explanation:

Let

x ----> the number of minutes

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substitute

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vovikov84 [41]

Given:
4/5 as many students who do not wear glasses as those who wear glasses.
60 students wear glasses.

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60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.

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