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3 years ago

Rajiv used 3/4 of a bag of sugar to make cookies. With the sugar he has leftover, he will make 3 cakes.

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

Step-by-step explanation:

1/4 of the sugar is remaining to make the cakes.

Divide 1/4 by 3 to figure out how much will be in each cake.

1/4 / 3/1 is equivalent to 1/4(1/3). When you do the multiplication of these fractions you will find that,

1/12 of the bag of sugar will go into each cake.

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

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:

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

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

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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3 years ago

The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 peop

elena-s [515]

Answer:

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Step-by-step explanation:

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2 years ago

The radius of a circle is 14.2 m. Find the circumference to the nearest tenth.

lana66690 [7]

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

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2 years ago

Plz answer BRAINLIEST Choose the statement that is true of both triangles.

saw5 [17]

Answer:

Step-by-step explanation:

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2 years ago

it takes Elizabeth 15 minutes to walk 5 blocks. at that rate, how many minutes will it take her to walk 30 blocks?

slavikrds [6]

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3 years ago

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