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2 years ago

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In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of

an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country. Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?

2 answers:

KIM [24]2 years ago

8 0

Answer:

Is there any multiple choice answers?

Step-by-step explanation:

Dmitry [639]2 years ago

7 0

Answer:

$1.84

Step-by-step explanation:

In a certain country, a letter upto 1 ounce requires postage of = $0.42

and each additional ounce (or fraction of an ounce) has an additional cost.

The function which represents this situation :

$f(c)=[0.42+0.20(x-1)]$

The weight of Josiah's first letter = 2.9 ounces (x= 2.9)

$f(1)=[0.42+0.20(2.9-1)]$

$f(1)=0.42+0.20(1.9)$

$f(1)=0.42+0.38$

f(1) = 0.80

$f(2)=[0.42+0.20(4.1-1)]$

$f(2)=0.42+0.20(3.1)$

$f(2)=0.42+0.62$

f(2) = 1.04

0.80 + 1.04 = $1.84

The total amount is $1.84, Josiah can expect to pay for postage

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In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.

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<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

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<h3><u>Solution:</u></h3>

Given that,

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<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with $3.625 \times 10^{-8}$

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Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In $1812.5 \times 10^{-8}$ , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by $10^3$

$1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}$

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in $1.8125 \times 10^{-5}$ exponent is -5

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