MATHEMATICS MIDDLE SCHOOL

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2
1
​ liters of tea every \dfrac23
3
2
​ of an hour. Ben drinks tea at a constant rate.
How many liters of tea does he drink in one hour?

Answers

Answer 1
Answer:

Answer:

5(1)/(4) liters of tea does he drink in one hour.

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity 1 such as 2 miles per hour or 4 meter per second.

As per the statement:

Ben drink 3(1)/(2) = (7)/(2) liters of tea every (2)/(3) of an hour.

We have to find the liters of tea does he drink in one hour.

\text{Unit rate per hour} = ((7)/(2) )/((2)/(3)) = (7)/(2) * (3)/(2) =(21)/(4) = 5(1)/(4) liters

Therefore, 5(1)/(4) liters of tea does he drink in one hour.

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Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
Write an explicit rule which can be used to determine the value of her art collection n years after that. Use this to determine the value of her collection 10 years after she started tracking its worth rounded to the nearest dollar.

Answers

Answer:

Value = 500000 × (1.1^n)

$1,296,871

Step-by-step explanation:

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r = 550000 ÷ 500000 = 1.1

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When you convert 0.63 to a fraction which of the following could be the first step of the process

Answers

The conversion of the decimal number 0.63 into a fraction number will be 63 / 100.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The decimal number is 0.63.

Convert the decimal number into the fraction number.

⇒ 0.63

⇒ 0.63 x 100 / 100

⇒ 63 / 100

The conversion of the decimal number 0.63 into a fraction number will be 63 / 100.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2
You could just write down 63/100 then it equals to 0.63

PLEASE HELP!!!‼️‼️‼️ I need help with question 14 a and b show your work please‼️

Answers

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Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runner’s locations starting at 9:00 a.m. Who is at the trail start at 9:00 a.m.?

Answers

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Answer:

Andy

Step-by-step explanation:

Since hes 0 away from it meaning he’s there

Convert z = 9cos200° + 9isin200° from polar form to rectangular form.-8.46 - 3.08i
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8.46 + 3.08i
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Answers

Answer:

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Step-by-step explanation:

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sin 200 = -0.3420 so 9 * sin 200 = -3.08 to nearest hundredth.
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