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Alex787 [66]
3 years ago
15

Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same

Mathematics
1 answer:
9966 [12]3 years ago
8 0

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers  = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140

Dividing both sides by 10

\frac{10x}{10}=\frac{5140}{10}\\x=514

There are 514 gram rice in each container.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
Every 11 days my dog eats 3 cupcakes. How many does my dog eat in 22 days?
Vilka [71]

The dog eats 6 cupcakes in 22 days.

<em>(don't know why a dog would be eating cupcakes in the first place, but sometimes math questions don't make the most sense)</em>

6 0
2 years ago
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4 0
3 years ago
Ben dives from a 10-foot platform. the equation h = -16 t 2 27t 10models the dive. how long will it take ben to reach the water?
klio [65]
So i'm assuming your eqtn is    h = -16t^2 + 27t + 10
and we're looking for t = ?    when  h = 0

=>  16t^2 - 27t - 10 = 0
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answer  2 seconds
3 0
3 years ago
1) A projectile is thrown upward so that its distance above the ground after t seconds is
leonid [27]

Answer:

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Step-by-step explanation:

we have

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This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

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Rewrite as perfect squares

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The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0
3 years ago
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