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3 years ago

determine whether the fractions -4/5 -4/6 -4/7 and -4/8 are arranged in order from least to greatest.Explain

Mathematics

2 answers:

7nadin3 [17]3 years ago

5 0

No, -4/5 is the greatest as and the numbers after it each drop in value.

Katen [24]3 years ago

3 0

-4/8, -4/7, -4/6, -4/5

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

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2 years ago

A² +6² = c²<br> Find the length of c:

yanalaym [24]

64+36=c^2
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3 years ago

Read 2 more answers

It takes 24 megabytes to store 144 songs on a music player. What is the greatest number of songs that 60 megabytes could store?

givi [52]

Option B

We can store a total of 360 songs in 60 megabytes of space.

<u>Solution:</u>

It is given to us that It takes 24 megabytes to store 144 songs on a music player. We have been asked to find out what is the greatest number of songs that 60 megabytes could store.

To solve this question we can use the unitary method.

We will first find out how many songs can be stored in 1 megabyte. This can be done as follows:

$=\frac{144}{24}=6$

Therefore, we can store 6 songs in 1 megabyte.

So, in 60 megabyte we can store the following number of songs:

$=60 \times 6=360$

So, we can store a total of 360 songs in 60 megabytes.

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3 years ago

A segment has endpoints R(3. 8) and S(15,8). What are the coordinates of the midpoint M of the segment?

uysha [10]

Answer:

(9, 8)

3 + 6

9 + 6

8 + 0

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3 years ago

Once a customer fills the car with gas at one station, that customer cannot then go fill the same car with gas at another statio

cluponka [151]

Answer:

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Step-by-step explanation:

These are mutually exclusive events

that is, a customer can only go to a gas station to fill his car with gas par time

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P(E2) = 1/4

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3 years ago