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Gwar [14]
2 years ago
7

The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple pa

int.
Purple #1 is made by mixing red and blue in a ratio of 1 : 2.

Purple #2 is made by mixing red and blue in a ratio of 1 : 3.


Use the drop-down menus to complete each sentence below.


Math item stem image


The two highlighted rows show that for the same amount of blue, Purple #1 uses (less,more)red than Purple #2.


This means that Purple #1 is(a redder,a bluer, the same) shade of purple than Purple #2.


Purple #2 is(a redder,a bluer, the same) shade of purple than Purple #1.

Mathematics
2 answers:
kirza4 [7]2 years ago
5 0

The two highlighted rows show that for the same amount of blue, Purple #1 uses <u>more</u> red than Purple #2.

This means that Purple #1 is <u>a redder</u> shade of purple than Purple #2.

Purple #2 is <u>a bluer</u> shade of purple than Purple #1.

Step-by-step explanation:

The two highlighted rows show that for the same amount of blue, Purple #1 uses <u>more</u> red than Purple #2.

  • Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2
  • Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.
  • Hence, Purple #1 is <u>a redder</u> shade of purple than Purple #2.
  • From the above explanation, Purple #2 is <u>a bluer</u> shade of purple than Purple #1.
Cerrena [4.2K]2 years ago
5 0

Answer:

The two highlighted rows show that for the same amount of blue, Purple #1 uses <u>More</u> red than Purple #2.

This means that Purple #1 is <u>Redder</u> shade of purple than Purple #2.

Purple #2 is <u>Bluer</u> shade of purple than Purple #1.

Step-by-step explanation:

Because I had to do it too

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Which geometric figure consists of the set of all points in a plane that are the same distance from a given point?
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An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.

An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.

A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.

A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center of the sphere.

Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>


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In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.
Minchanka [31]
<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

The exponent in Sam’s product is -5

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

Given that,

In math class, Sam correctly multiplied 3.625 \times 10^{-8} by 500, then reported his product in scientific notation.

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

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

3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}

Then Sam has reported this answer in scientific notation

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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Answer:

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