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MA_775_DIABLO [31]
3 years ago
6

Number of boys : Number of girls = 11 : 9

Mathematics
1 answer:
Oliga [24]3 years ago
8 0
The first thing we are going to do for this case is define variables.
 We have then:
 x = Number of boys
 y = Number of girls
 We now write the system of equations:
 x / y = 11/9
 x = y + 124
 Solving the system we have:
 x = 682
 y = 558
 The number of students is:
 x + y = 682 + 558 = 1240
 Answer:
 
the total students in the school is:
 
1240 students
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spayn [35]
1) -3x -3 -7x = 17
• start by grouping so add -3x and -7x which gives you -10x
• 10x -3 (+3) = 17 +3 = 20 add 3 on both sides)
• 10x (/10) = 20/ 10 = 2
1) x = 2

2) 10x -6 (+6) = 24 + 6 = 30
• 10x (/10) = 30/ 10 = 3
2) x = 3

3) -4 (+4) -5x = -39 +4 = -35
• -5x (/-5) = -35/ -5 = 7
3) x = 7

4) 3x - 5 > 10
this one i don’t understand, is there a typo maybe ?

5) -5x + x + 16 = -3 you can put a 1 to hold the place of x to make it 1x
• (-5x + 1x) + 16 = -3
• -4x + 16 (-16) = -3 -16 = -19
• -4x (/-4) = -19/ -4 = 4.75 or 4 3/4
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6 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long s
slega [8]

Answer:

<u>The correct answer is C. 6, 8 and 9 inches.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.

Scale used : 1 inch = 2 feet.

2. How long should the sides of the triangle be in inches?

For calculating the length of the sides of the triangle in the draw, we use the scale this way:

1st Side = 12 feet

12 feet/2 = 6 inches

2nd Side = 16 feet

16 feet/2 = 8 inches

3rd Side = 18 feet

18 feet/2 = 9 inches

<u>The correct answer is C. 6, 8 and 9 </u>

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Answer:

12 ft²

Step-by-step explanation:

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