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3 years ago

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Lisa descended 120 feet into a cave. She then climbed up 56 feet. If her starting point was 38 feet below sea level at the mouth

of the cave, what is Lisa's elevation relative to sea level?

1 answer:

levacccp [35]3 years ago

5 0

Answer:

hey can you help with this? it's my deadline today

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1/4x – 2 = 3/8 Please show an equation and work. :)

Julli [10]

1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
$\frac{x}{4} - 2 = \frac{3}{8}$

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
$\frac{x}{4} = \frac{3}{8} + 2$

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
$\frac{x}{4} = \frac{19}{8}$

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
$x = \frac{19}{8} \times 4$

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
$x = \frac{76}{8}$

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
$76 \div 4 = 19 \\ 8 \div 4 = 2$

Answer in fraction form: $\fbox {x = 19/2}$
Answer in decimal form: $\fbox {x = 9.5}$

8 0

3 years ago

Which choice represents the expanded form of the expression (x- 2)3

Murljashka [212]

Answer:

(x−2)^3=x^3−6x^2+12x-8

Step-by-step explanation:

if you are talking about the binomial (x−2)^3 you must expand then simplify. (x-2)3 you would just remove the parenthesizes and multiply -2 with 3 to get x-6 but I think you meant (x-2)^3

4 0

3 years ago

What is the sum (Two-fifths x + StartFraction 5 over 8 EndFraction) + (one-fifth x minus one-fourth)?

liubo4ka [24]

The sum of ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) is $\frac{3}{5}$ x + $\frac{3}{8}$

Step-by-step explanation:

To add or subtract 2 fractions, they must have same denominators, if they not do that

Find the Lowest common multiple of the two denominators (LCM)
Replace each denominator by it
Divide The LCM by each denominator and multiply the numerator of each fraction by its quotient

∵ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ )

- Let us start with adding the like terms

∴ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) = (

∵ ( $\frac{2}{5}$ x + $\frac{1}{5}$ x ) have same denominators, then we can add them

∴ ( $\frac{2}{5}$ x + $\frac{1}{5}$ x ) = $\frac{3}{5}$ x

∵ ( $\frac{5}{8}$ - $\frac{1}{4}$ ) do not have the same denominators, then we must find

LCM of 8 and 4

- The LCM of 8 and 4 is 8 because 8 is the first common multiple

of 8 and 4

∵ LCM of 8 and 4 is 8

- Divide 8 by the denominator 4

∵ 8 ÷ 4 = 2

- Multiply the numerator of the fraction by 2

∴ $\frac{1}{4}=\frac{2}{8}$

∴ ( $\frac{5}{8}$ - $\frac{1}{4}$ ) = ( $\frac{5}{8}$ - $\frac{2}{8}$ ) = $\frac{3}{8}$

∴ ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) = $\frac{3}{5}$ x + $\frac{3}{8}$

The sum of ( $\frac{2}{5}$ x + $\frac{5}{8}$ ) + ( $\frac{1}{5}$ x - $\frac{1}{4}$ ) is $\frac{3}{5}$ x + $\frac{3}{8}$

Learn more:

You can learn more about the fractions in brainly.com/question/2456302

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

What is the probability of picking a vowel from the letters A, B, C, D, and E?

Allushta [10]

Answer:

d because its big

Step-by-step explanation:

5 0

3 years ago

According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. h

Alisiya [41]

The number of cruise passengers must there have been in 2017 is 26.7 million.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

$\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}$

Multiplying both sides by 100;

$\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}$

Dividing both sides by 106.7;

$\frac{106.7 x}{106.7}=\frac{2850}{106.7}$

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

To know more about the percentage, here

brainly.com/question/24304697

#SPJ4

6 0

2 years ago