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Vikki [24]
3 years ago
12

Simplify the quotient 4.5 x 10^3/9 x 10^7 . Write your answer in scientific notation. Show your work.

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
4.5*10^3/9*10^7=4.5/9*10^3*10^7=0.5*10^3*10^7. a^b*a^c=a^(b+c), so 10^3*10^7=10^(3+7)=10^10. 0.5*10^10=5*10^9, since we want to write in scientific notation where the leading number is bigger than one and smaller than 10.
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Step-by-step explanation:

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4. A store had 86 DVDs and 52 CDs. When the equal number of DVDs and CDs were sold,
11Alexandr11 [23.1K]

Answer:

51 DVDs

Step-by-step explanation:

Let the number of DVDs and CDs sold be x each.

<u>Initial</u>

Number of DVDs= 86

Number of CDs= 52

<u>After selling</u>

Number of DVDs= 86 -x

Number of CDs= 52 -x

Given that there are 3 times as many DVDs than CDs left,

86 -x= 3(52 -x)

<em>Expand:</em>

86 -x= 156 -3x

<em>Bring x terms to 1 side, constant to the other:</em>

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3 0
3 years ago
?Eric conducted an experiment in his science class and recorded the data in a table.
Vitek1552 [10]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

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       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

4 0
2 years ago
A recipe requires 9 cups of milk you can only measure using 3/4 cups. How many 3/4 cups are needed for the recipe
notsponge [240]

Answer:

12

Step-by-step explanation:

In order to find the amount of cups we will divide 9 by 3/4.

9÷3/4

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36/3

=12

Please mark as brainliest

7 0
2 years ago
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