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2 years ago

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5 pies were shared equally among 6 girls. What fraction of a pie did each girl receive? Explain.

1 answer:

kompoz [17]2 years ago

4 0

Answer:

Step-by-step explanation:

5/6

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Prayut is buying peanuts to make satay sauce to serve with

marysya [2.9K]

Answer:

$0.15

Step-by-step explanation:

7 0

2 years ago

A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at t

gayaneshka [121]

Answer:

the mathematical model is : $-\frac{1}{A}= kt - \frac{1}{50}$

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

$\frac{dA}{dt} \ \alpha \ A^2$

$\frac{dA}{dt}= KA^2$

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

$\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50$

The variable is now being separated as:

$\frac{dA}{A^2}=kdl$

Taking integral of both sides; we have:

$\int\limits\frac{dA}{A^2}=\int\limits \ kdt$

$-\frac{1}{A}= kt +C$

However; since A(0) = 50; Then

t = 0 ; A =50 in the above equation

$-\frac{1}{50}= 0 +C$

$C = - \frac{1}{50}$

Thus; the mathematical model is : $-\frac{1}{A}= kt - \frac{1}{50}$

8 0

2 years ago

The measure of theta in degrees is approximately 34.38 true or false?

AURORKA [14]

Theta=0.849978 or 0.85 (I guess this is in radian form)

Converting it to degrees I think it is 0.85 = 48.70 degrees

48.70 does not equal 34.38 degrees so false right?

<span>I think the answer is false. </span>

4 0

2 years ago

Read 2 more answers

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that

professor190 [17]

Answer:

Therefore, the probability is P=3/32.

Step-by-step explanation:

We know that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

We calculate the probability that he pulls out a 3 first and then pulls out a 2 without replacing them.

The probability that he pulls out a 3 first is 3/8.

The probability of a second card being 2 is 2/8.

We get:

$P=\frac{3}{8}\cdot \frac{2}{8}\\\\P=\frac{6}{64}\\\\P=\frac{3}{32}$

Therefore, the probability is P=3/32.

7 0

2 years ago

Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

erik [133]

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

$\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0

2 years ago