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ser-zykov [4K]
3 years ago
14

Which expression shows the result of applying the distributive property to 9(2+5m) ?

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:

<h2>18 + 45m</h2>

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

9(2 + 5m) = (9)(2) + (9)(5m) = 18 + 45m

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Express 8 1/5% as a mixed number or a fraction
Alexxandr [17]

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

7 0
2 years ago
If the measure of angle 3=122, then the measure of angle 2 =?
Illusion [34]

A = 122

2 = 58

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6 0
2 years ago
5 aplicaciones de notación científica en la vida cotidiana
torisob [31]

Answer:

In scientific notation:

The first number in the mathematical equation is called the "coefficient." The coefficient must be greater than or equal to one and less than 10. For example to create the scientific notation for the number 256, the coefficient would be 2.56.

The second number in the equation is a power of 10, written as 10 with an exponent, like 102 which stands for 10 x 10.

Combining these two numbers would create this scientific notation equation for 256 - 2.56 x 102.

A negative exponent shows the decimal is moved that many places to the left and a positive exponent shows the decimal is moved that many places to the right.

Scientific Notation Examples

Here are examples of scientific notation:

1 = 100

10 = 1 x 10¹

100 = 1 x 10²

1000 = 1 x 10³

10000 = 1 x 104

100000 = 1 x 105

42,000,000 = 4.2 x 107

676,000,000,000 = 6.76 x 1011

0.1 = 1 x 10-1

0.01 = 1 x 10-2

0.001 = 1 x 10-3

0.0001 = 1 x 10-4

0.00001 = 1 x 10-5

0.00000078 = 7.8 x 10-7

0.000000000000000 = 3.56 x 10-13

Real Life Examples of Scientific Notation

Explore how scientific notation is used to express large numbers.

7 x 109 = Population of the world is around 7 billion written out as 7,000,000,000

1.08 x 109 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour

2.4 x 105 = Distance from the Earth to the moon is 240 thousand miles or 240,000 miles

9.3 x 107 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles

3.99 x 1013 = Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km

9.4605284 × 1015 = Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km

1.4 x 108 = Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles

1.0 x 1014 = Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000

1.332 x 10-3 = Density of oxygen is 1332 millionths g per cc or .001332 g per cc

2.4 x 10-3 = Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch

7.53 x 10-10 = Mass of a dust particle is 0.000000000753 kg

9.1093822 × 10-31 = Mass of an electron is 0.00000000000000000000000000000091093822 kg

4.0 x 10-7 = Length of the shortest wavelength of visible light (violet) is 0.0000004 meter

4 0
2 years ago
Can someone help me with these 2 questions please???
kodGreya [7K]

Answer:

See step-by-step explanation.

Step-by-step explanation:

For the first question, you simply put an EMPTY circle above 2 and draw an arrow from it all the way down to -3. The reason why we put an empty circle is because there is no equal sign below it.

For the second question, you put a FILLED circle above 4 and draw an arrow from it all the way down to -3. The reason why we use a filled circle is because x is less than OR equal to 4.

6 0
3 years ago
(d)
mash [69]

Answer: The 4 answers are x=18, x=3, x=48, x=81 1/2.

Step-by-step explanation: Isolate the variable by dividing by each side by factors that don't contain the variable.

6 0
3 years ago
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