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Nonamiya [84]
2 years ago
10

The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to find y when x = 3.

Mathematics
1 answer:
Allushta [10]2 years ago
7 0

Answer:

  24

Step-by-step explanation:

  xy = k

Filling in given values, we have ...

  12·6 = k = 3·y

  y = 12·6/3 = 24

y is 24 when x is 3.

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Determine which of the following function have a positive rate of change. Explain your answer.
olga2289 [7]

Answer:

  y = 2x - 11

Step-by-step explanation:

The "rate of change" is the coefficient of x when the function is written in this form:

  y = mx + b

That coefficient will be positive when the function has a positive rate of change.

  y = 2x - 11 . . . has a positive rate of change

3 0
3 years ago
Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pag
nalin [4]

Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

\dfrac{1}{7} es pagado por mamá

\dfrac{2}{5} es pagado por el hermano mayor

La porción pagada por papá es

1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}

Esta cantidad pagada por papá es

350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160

Esta cantidad pagada por papá es $160.

3 0
2 years ago
Kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is
koban [17]

If the number of days is d and he writes 3 pages for every d, then we can say

3d = 81

3 0
3 years ago
If x is too small that its square and higher powers be neglected then (1+3x)-2=?
Molodets [167]

The answer is 3x - 1.

7 0
3 years ago
Alex has 84 quarters and nickels worth a total of $17.80.
Hunter-Best [27]

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

<h3>Quarters and nickels</h3>

  • Total coins = 84
  • Total value = $17.80

let

  • Number of quarters = q
  • Number of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

Learn more about quarters and nickels:

brainly.com/question/17127685

#SPJ1

6 0
2 years ago
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