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Doss [256]
3 years ago
15

The equation of direct proportion y=kx is given by the table. Find the coefficient k, and fill in the table:

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

The coefficient of k is -6

Step-by-step explanation:

Let x = -2

Let y = 12

y = kx

12 = k(-2)

k =12÷(-2)

= -6

(Correct me if i am wrong)

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Tamara has 20000. If 4/5 of what Tamara has equals 8/9 of what Martina has, how much does Martina have
lilavasa [31]

Answer:

Martina has 18,000

Step-by-step explanation:

  1. Set up the 4/5 the amount Tamara has as a proportion. 4/5 = x/20000
  2. Then cross multiply
  3. 4 * 20,000 = 80,000
  4. 80,000 = 5x
  5. Divide and get 16,000 (This is 4/5 of what Tamara has)
  6. Set up what Martina has as a proportion. 8/9 = 16,000/x
  7. Cross multiply 8x = 16,000 * 9
  8. 8x = 144,000
  9. Divide by 8
  10. 18,000 :)
7 0
3 years ago
Nine less than twelve in an algebraic expression
emmasim [6.3K]
The answer to this equation is 12-9
8 0
3 years ago
One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as
Rudiy27

Answer:

  • Below given.

Step-by-step explanation:

  • 162 total guests.
  • 3 servers

Let the number of guests the second server helped be x.

then the first server helped 3x

then the third server helped [(3x)*2] = 6x

Equation in total:

                               6x + 3x + x = 162

                                10x = 162

                                   x = 16.2

  • First server helped: 3 * 16.2 = 49 guests
  • Second server helped: 16 guests
  • Third server helped: 6x = 6(16.2) = 97 guests
6 0
3 years ago
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Delicious77 [7]

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

8 0
2 years ago
The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
____ [38]
The length is 56 meters
6 0
3 years ago
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