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lina2011 [118]
3 years ago
12

There are 40 students at Bali high who play stringed instruments. Of these, 1/4 play viola, 1/5 play cello, and the rest play vi

olin. How many students play violin?
Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

22 students

Step-by-step explanation:

Given,

Total number of students = 40,

∵ Number of students who play viola = \frac{1}{4} of the total students

= \frac{1}{4}\times 40

= 10

Also, number of students who play cello = \frac{1}{5} of the total students

= \frac{1}{5}\times 40

= 8

So, the remaining students = total students - students who play viola - students who play cello

= 40 - 10 - 8

= 22

Hence, 22 students play violin.

Rus_ich [418]3 years ago
5 0
22 play violin.
1/5 * 40 = 8
1/4 * 40 = 10
8+10=18
40-18=22

22!
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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.
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Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

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4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if  (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore  (2, 5) is on this line.

Verifying if (2, 5)  is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 =  1 + 4 = 5

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3 years ago
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​
Roman55 [17]

Answer:

75

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

<u>Step 1: Set up</u>

75 + 120 + 90 + ∠4 = 360

<u>Step 2: Solve</u>

  1. Add:                                                                                                                   285 + ∠4 = 360
  2. [Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75
5 0
3 years ago
The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. Wha
kifflom [539]

Answer:

$4,400

Step-by-step explanation:

Key: B stands for balance.

b+308=4708

b=4,708-308

b=$4,400

8 0
4 years ago
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