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iris [78.8K]
3 years ago
11

Simplify.

Mathematics
1 answer:
Sidana [21]3 years ago
5 0
<h3>Answer: 3\sqrt{7}</h3>

3*sqrt(7)

3 times the square root of 7

====================================================

Explanation:

I'm assuming the V stands for square root. You can write sqrt(63).

\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}

The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is \sqrt{x*y} = \sqrt{x}*\sqrt{y}

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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
4 years ago
X^2-24x+144=0<br><br> solve for x please
e-lub [12.9K]

Answer:

x = 12

Step-by-step explanation:

Step 1: Write quadratic

x² - 24x + 144 = 0

Step 2: Factor

(x - 12)(x - 12) = 0

Step 3: Find roots

x - 12 = 0

x = 12

5 0
3 years ago
Read 2 more answers
What is the value of x? x−15=8 in simplest form.
yanalaym [24]

Answer:

x = 23

Step-by-step explanation:

Isolate x.

x - 15 = 8

x = 15 + 8

x = 23

4 0
3 years ago
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An electronics store sends an email survey to all customers who bought tablets.
Fudgin [204]
I think you forgot to add the rest of the question
6 0
3 years ago
What is the value of x
NARA [144]

Answer:

I think is 4x

Step-by-step explanation:

because nothing changes so x=4x

4 0
3 years ago
Read 2 more answers
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