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skelet666 [1.2K]
3 years ago
12

When 10b =5 (√c+2) is solved for c one equation is c= (2b-2) ^2 which of the following is an equivalent to find c

Mathematics
2 answers:
Ghella [55]3 years ago
5 0
I will show all the steps to lead to the solution.

1) 10b = 5 (√c + 2)  <---- starting equation

2) divide by 5 => 2 b = √c + 2

3) subtract 2 => 2b - 2 = √c

4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.

Now these are two equivalent forms:

1) extract 2 from the parentheses: c = 4 (b -1)^2

2) expand the parentheses: c = 4b^2 - 8b + 4)


Anna71 [15]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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An aquarium is leaking water at the rate of three quarts in 4 days.How many quarts are leaked in 1 week?How many days does it ta
Simora [160]

Answer:

\frac{21}{4} quarts

12 days

Step-by-step explanation:

Given that:

Amount of water leaked in 4 days = 3 quarts

To find:

Number of quarts leaked in 1 week?

Number of days taken for the leakage of 9 quarts of water?

Solution:

We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.

As per question statement:

Amount of water leaked in 4 days = 3 quarts

Dividing by 4 on both sides:

Amount of water leaked in 1 day = \frac{3}{4} quarts

Multiplying by 7 on both sides:

Amount of water leaked in 7 days = \frac{3}{4}\times 7 = \frac{21}{4} quarts

Number of days taken for the leakage of 3 quarts = 4 days

Multiplying by 3 on both sides:

Number of days taken for the leakage of 3 \times 3 = 9 quarts = 4 \times 3 = <em>12 days</em>

6 0
2 years ago
A
vredina [299]

Answer:

d is the answer young man

7 0
2 years ago
Two numbers have a sum of 49. If one number is x,express the other number in terms of x
Ymorist [56]

Answer:

y = 49 - x

Step-by-step explanation:

Let the other number be y.

Given x + y = 49

x+y-x = 49 - x

y = 49 - x

5 0
3 years ago
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Hatshy [7]

Answer:

Greatest population density: Denmark

Smallest population density: The U.S.

Step-by-step explanation:

Population density = population / area

So let's find the population density of each country

For U.S

Population: 272,648,000

Area: 9,364,520 sq km

Population density: 272,648,000/9,364,520=29.1 ( rounded to the nearest tenth )

So the population density of the U.S is 29.1 people per sq km

For Denmark

Population: 5,248,000

Area: 42,077

Population density: 5,248,000/42,077=124.7 ( rounded to the nearest tenth )

So the population density of Denmark is 124.7 people per sq km

For Ghana

Population: 18,339,000

Area: 237,533

Population density: 18,339,000/237,533=77.2 ( rounded to the nearest tenth ).

So the population density of Ghana is 77.2 people per sq km

Now that we have calculated the population density of each country let's look back at the question

Which country has the greatest population density? Which country has the least?

Looking at the population densities we can conclude that Denmark has the largest population density at 124.7 people per sq km and the U.S. has the smallest population density at 29.1 people per sq km

3 0
3 years ago
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BigorU [14]

Answer: 72

Step-by-step explanation:

7 0
2 years ago
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