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3 years ago

9

Change to a fraction or mixed number in simplest form. 66 2/3% = _____.

2 answers:

Sauron [17]3 years ago

5 0

<span>66 2/3% means (66 2/3)/100
as we knw%=100 so replace it by 100
</span><span> {[(66*3)+2]/3}/100
</span>
= (200/3)/100
<span>= (200/3)*(1/100) </span>
<span>= 2/3 so its the simplest form
</span>hope it helps

AfilCa [17]3 years ago

4 0

$p\%=\dfrac{p}{100}\\\\66\dfrac{2}{3}\%=\dfrac{66\cdot3+2}{3}\%=\dfrac{198+2}{3}\%=\dfrac{200}{3}\%\\\\\dfrac{\frac{200}{3}}{100}=\dfrac{200}{3\cdot100}=\dfrac{2}{3}\\\\Answer:\boxed{66\frac{2}{3}\%=\frac{2}{3}}$

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2 years ago

Let f(x)=x2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4?

goblinko [34]

Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

$f(x) = x^2-2x-4$

we have to find the average rate of change from x = -1 to x = 4

At x = -1

$f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1$

and

at x = 4

$f(4) = (4)^2-2(4)-4 = 16-8-4 = 4$

Substitute these in [1] we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}$

⇒ $A(x) = \frac{4-(-1)}{4+1}$

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Simplify:

A(x) = 1

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e

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Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒ $y = 2x-3$ .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒ $x+y =15$ .....[2]

Substitute equation [1] into [2] we get;

$x+2x-3 = 15$

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

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Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

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y = 9

Therefore, the pancakes did each eat are;

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