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2 years ago

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

1 answer:

8 0

To solve the given expression for p we proceed as follows;
3p-7+p=13
first we collect the like term, these are the terms which have the same variable or power;
3p+p=13+7
4p=20
to get the value of p we divide both sides by 4;
(4p)/4=20/4
p=5
the answer is p=5

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2 years ago

L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.

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Answer:

Davide's age is 10.

L'età di Davide è 10.

Step-by-step explanation:

The average age of Aldo, Bruno, Carlo and Davide is 16 years.

I am going to say that:

x is Aldo's age.

y is Bruno's age.

z is Carlo's age.

w is Davide's age.

Average of the 4 is 16 years.

This means that:

$16 = \frac{x + y + z + w}{4}$

$x + y + z + w = 64$

If we do not consider Davide, the mean is 18. So

$18 = \frac{x + y + z}{3}$

$x + y + z = 54$

Replacing in the first equation:

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$54 + w = 64$

$w = 10$

Davide's age is 10.

L'età di Davide è 10.

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2 years ago

Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of

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Sally = 1/3
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David = 1/2
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2 years ago

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Answer:

B. Geometric sequence.

$g(n)=900\cdot (\frac{2}{3})^{n-1}$

Step-by-step explanation:

We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.

The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.

Since amount is not constant, therefore, the sequence would be geometric.

We know that explicit formula for geometric sequence is in form $a(n)=a\cdot r^{n-1}$ , where,

a = First term,

r = Common ratio.

For our given scenario $a=900$ and $r=\frac{2}{3}$ , so our required formula would be:

$g(n)=900\cdot (\frac{2}{3})^{n-1}$

Therefore, an explicit formula for the given geometric sequence would be $g(n)=900\cdot (\frac{2}{3})^{n-1}$ .

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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