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Alja [10]
3 years ago
5

There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally.

How many pieces of candy will each child receive?
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

38 candies.

Step-by-step explanation:

Given the following data;

Total number of candy = 874

Total number of children = 23

Since we know that they are all sharing it equally, each child would get;

Each child = 874/23

Each child = 38 candies.

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What value of X makes the equation -5x-(-7-4x)=-2(3x-4) true?
rjkz [21]

Answer: x= \frac{1}{5} Makes It True

Explantion: step 1: simplify both sides of the equation. −5x−(−7−4x)=−2(3x−4) −5x+−1(−7−4x)=−2(3x−4)(distribute the negative sign) −5x+(−1)(−7)+−1(−4x)=−2(3x−4) −5x+7+4x=−2(3x−4) −5x+7+4x=(−2)(3x)+(−2)(−4)(distribute) −5x+7+4x=−6x+8 (−5x+4x)+(7)=−6x+8(combine like terms) −x+7=−6x+8 −x+7=−6x+8 step 2: add 6x to both sides. −x+7+6x=−6x+8+6x 5x+7=8 step 3: subtract 7 from both sides. 5x+7−7=8−7 5x=1

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Read 2 more answers
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2
ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is  (x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p  

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

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∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ \frac{1}{12} (x - 5)² = y

- Switch the two sides

∴ y =  \frac{1}{12} (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y =  \frac{1}{12} (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

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Answer: B

Step-by-step explanation:

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