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3 years ago

write each statement as a decimal to two decimal places. $6.00 to 95 cents 3 hours to 35 minutes 42 inches to 2 feet

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

1. $6.00 to 95 cents = 6.32

2. 3 hours to 35 minutes = 5.14

3. 42 inches to 2 feet = 1.75

Step-by-step explanation:

Given

$6.00 to 95 cents

3 hours to 35 minutes

42 inches to 2 feet

Required

Express in 2 decimal places

1. $6.00 to 95 cents

Express as ratio

$\$6.00 : 95\ cents$

Convert dollars to cents

$6.00 * 100\ cents: 95\ cents$

$600\ cents: 95\ cents$

Convert ratio to division

$\frac{600\ cents}{95\ cents}$

$6.31578947368$

Approximate

$6.32$

2. 3 hours to 35 minutes

Express as ratio

$3\ hours : 35\ minutes$

Convert hours to minutes

$3 * 60\ minutes: 35\ minutes$

$180\ minutes: 35\ minutes$

Convert ratio to division

$\frac{180\ minutes}{35\ minutes}$

$5.14285714286$

Approximate

$5.14$

3. 42 inches to 2 feet

Express as ratio

$42\ inches: 2\ feet$

Convert feet to inches

$42\ inches:2 * 12\ inches$

$42\ inches : 24\ inches$

Convert ratio to division

$\frac{42\ inches}{24\ inches}$

$1.75$

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Answer: graph E.

A geometric sequence can be written as:

$a_{n} = a_{1} \cdot r^{(n - 1)}$

where:

a₁ = first term = 4

r = ratio = 0.5

Substituting the numbers, we have:

$a_{n} = 4 \cdot (\frac{1}{2})^{n-1}$

or else

$f(x) = 4 \cdot (\frac{1}{2})^{x - 1}$

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).

In order to choose between graph B and E, let's evaluate the function in two different points:

$f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4$

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Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.

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3 years ago

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8.35 < 3x +18.75 Pls help

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3 years ago

Use the information frompart a to write an equation representing the number of colories burned each minute while bowling. Let m

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Answer:

To find the number of calories burned:

Find the Metabolic Equivalent of Task (MET) value of the task.

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Multiply the calories burned per minute by the number of minutes of activity.

Now, as per the question, weight is 125 pounds (lb), we will convert the weight in kilogram (kg) which is 1 lb = 0.453 kg, it means 125 lb = 56.7

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For example. A MET of 1 would be roughly equivalent to a person's energy expenditure from sitting still in a room temperature and not actively digesting food.

As per the Calorie guide value of MET for bowling is 3.9

Now the overall formula is

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vlada-n [284]

If I can read the #'s correctly:
add the yes answers together 23+147 = 170
add the no answers together 112+48= 160

so your ratio of haves to have nots is 170 to 160

but both sides can be divided by 10, so it can be simplified to 17 to 16.

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