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3 years ago

The organization sent

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

7 0

Answer:

<h2>The percentage of the people invited attended the fundraising event is 69.33%.</h2>

Step-by-step explanation:

To find the percentage of those who attended the fundraising event, simply divide the number of attendees to the total number invited.

$\frac{416}{640} = 0.69333333 = \boxed{69.33\%}$

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ankoles [38]

Step-by-step explanation:

Let (2n +1) be the larger odd number by definition, where n can be any real integer. Then (2n - 1) is the smaller consecutive odd number.

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3 years ago

Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti

lakkis [162]

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

$x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24$

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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Airida [17]

Answer:

The equivalent functions are;

$g(x) = 3^{-2 \cdot x }$

$g(x) = 9^{-x}$

$g(x) = \left (\dfrac{1}{9} \right )^x$

Step-by-step explanation:

The given function is f(x) = (1/3)^(2·x)

$f(x) = \dfrac{1}{3} ^{2 \cdot x}$

The given function can be simplified as follows;

$f(x) = \dfrac{1}{3} ^{2 \cdot x} = 3^{-1 \cdot2 \cdot x } = 3^{-2 \cdot x } = g(x)$

∴ $f(x) = \dfrac{1}{3} ^{2 \cdot x}$ ≡ $g(x) = 3^{-2 \cdot x }$

2) The given function can also be simplified as follows;

$f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = (9^{-1}) ^x} = 9^{-1 \times x} = 9^{-x} = g(x)$

∴ $f(x) = \dfrac{1}{3} ^{2 \cdot x}$ ≡ $g(x) = 9^{-x}$

3) The given function can also be simplified as follows;

$f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = g(x)$

∴ $f(x) = \dfrac{1}{3} ^{2 \cdot x}$ ≡ $g(x) = \left (\dfrac{1}{9} \right )^x$

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3 years ago