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4 years ago

Simplify completely

Mathematics

1 answer:

denis23 [38]4 years ago

5 0

.. √(24x³)
= √(6 • 4 • x • x²)
= √( 6x • (2x)² )
= √(6x) • √(2x)²
= 2x√(6x)

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Solve:<br> 55) A pool is filling at 3 pts per min. How many gallons per hour is that?

Novay_Z [31]

Conversion factors:
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour

15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour

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2 years ago

What fraction of the students in the class named baseball their favorite sport

mojhsa [17]

now, let's take a peek at the denominators, we have 3 and 8 and 12, we can get an LCD of 24 from that.

Let's multiply both sides by the LCD of 24, to do away with the denominators.

so, let's recall that a whole is "1", namely 500/500 = 1 = whole, or 5/5 = 1 = whole or 24/24 = 1 = whole. So the whole class will yield a fraction of 1/1 or just 1.

$\bf ~\hspace{7em}\stackrel{\textit{basketball}}{\cfrac{1}{3}}+\stackrel{\textit{soccer}}{\cfrac{1}{8}}+\stackrel{\textit{football}}{\cfrac{5}{12}}+\stackrel{\textit{baseball}}{x}~=~\stackrel{\textit{whole}}{1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{24}}{24\left(\cfrac{1}{3}+\cfrac{1}{8}+\cfrac{5}{12}+x \right)=24(1)}\implies (8)1+(3)1+(2)5+(24)x=24 \\\\\\ 8+3+10+24x=24\implies 21+24x=24\implies 24x=3 \\\\\\ x=\cfrac{3}{24}\implies x=\cfrac{1}{8}$

4 0

3 years ago

The distance between San Antonio and Austin is 6 inches on the map. If the scale on the map is 1.5 inches is equal to 35 miles.

Mars2501 [29]

100 miles is the answer

8 0

3 years ago

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In a bag of candy for every 9 chocolate pieces there are 6 sugar pieces. What is the ratio of chocolate pieces to sugar pieces?

AVprozaik [17]

Answer:

The ratio is 9:6 or 3:2 simplified.

Step-by-step explanation:

a ratio is just of many of one thing there are the the quantity of another thing. In this case, there are 9 chocolate pieces to every 6 sugar pieces. This can be written as the fraction $\frac{9}{6}$ and can be simplified to $\frac{3}{2}$ So that there are 3 chocolate pieces to every 2 sugar pieces.

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3 years ago

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If 25% of the students in elementary algebra courses receive a grade of A, and there are 300 students enrolled in elementary alg

djyliett [7]

Answer:

Total number of students receiving A grade = 75

Step-by-step explanation:

Total number of students enrolled in elementary algebra this year =300

Percentage of students receiving a grade of A = 25%

To find number of students that will receive a grade of A.

Solution:

In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.

Number of students receiving A grade = $25\%\ of\textrm{ Total number of students}$

⇒ $25\%\ of\ 300$

Writing 25% as fraction and multiplying.

⇒ $\frac{25}{100}\times 300$

⇒ $\frac{7500}{100}$

⇒ $75$

∴ Total number of students receiving A grade = 75 (Answer)

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3 years ago