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2 years ago

45% of a number is 180. Find the number

Mathematics

2 answers:

masha68 [24]2 years ago

8 0

Answer:

x = 400

Step-by-step explanation:

45% x X = 180

45/100 x X = 180

x = 180 x 100/45

x = 400

KonstantinChe [14]2 years ago

4 0

Answer:

Step-by-step explanation:

The term "of" can be translated to multiplication in problems like this.

So it's essentially saying multiply 45% to 180 and give me the result.

45% can be written as 45/100 in fractions (45 percent, where cent means 100 and per means division). 45/100 can be written as 0.45 in decimal form.

Now the problem reads 0.45 X 180. Using a calculator, we can solve this and the result comes out to be 81

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Answer:

He traveled 612 miles in total.

Step-by-step explanation:

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3 years ago

In 12 seconds, Valerie counts 6 vehicles passing by her house. At that rate, how many vehicles would pass by in 4 hours

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3 years ago

Subtract (-2x² +3x-5) from( 6x2 -4x+2)

Andreyy89

Answer:

8x² - 7x + 7

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(6x² - 4x + 2) - (-2x² + 3x - 5)

Step 2: Simplify

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8 0

2 years ago

n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha

Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(printing speed of the sample is greater than 17.99 ppm.)

P(x > 17.99)

$P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)$

Calculating the value from the standard normal table we have,

$1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%$

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

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3 years ago