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yanalaym [24]
3 years ago
14

Find a fraction that is equivalent to 1.5 over 9 with a whole number in both numerator and the denominator

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer: \frac{1}{6}

Step-by-step explanation:

We need to remember that equivalent fractions are  defined as fractions whose numerators and denominator are different but both fractions represent the same value.

To find an equivalent fraction, we must multiply the numerator and the denominator by the same number (Which must be a nonzero whole number).

In this case, to find a fraction equivalent to \frac{1.5}{9},  with a whole number in both numerator and the denominator, we can multiply the numerator and the denominator by 2. Then you get:

\frac{1.5*2}{9*2}=\frac{3}{18}

Reducing the fraction, you get:

=\frac{1}{6}

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Answer:

x = 77 ft

Step-by-step explanation:

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Net worth is equal to assets minus liabilities. True or false?
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True

Step-by-step explanation:

We can always determine the net worth of a company (also known as the shareholders equity) by determining how much the company has in assets and how much it owes.

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What value of x makes this equation true? 12x - 15 = 6 - 3x
m_a_m_a [10]

Answer:

12x - 15 = 6 -3x (add 3x to both sides)

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-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

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multiply the second parantheses by each term from the first parantheses.

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3 years ago
McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree.
Kaylis [27]

Answer:

Our equation is:

\displaystyle \sin(40^\circ)=\frac{w}{120}

Solving this yields that the width of the river is about 77 feet.

Step-by-step explanation:

Part A)

We know that McNeal is 120 feet from the tree. This is the hypotenuse.

And we want to find the width of the river, which is the side opposite from our angle.

Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:

\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}

Our angle is 40°.

The opposite side is unknown. We can let this be <em>w</em> to represent width.

The hypotenuse is 120 feet. Hence, our equation is:

\displaystyle \sin(40^\circ)=\frac{w}{120}

Part B)

Solve for <em>w: </em>

<em />w=120\sin(40^\circ)<em />

Use a calculator:

w=77.1345...\approx 77\text{ feet}

The width of the river is about 77 feet.

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