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marusya05 [52]
3 years ago
11

Answer these please!!!!!

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0
4.
-3/4 - 2/3 ÷ (-4/5)
= -3/4 - [2/3 ÷ (-4/5)]
{switch the numerator and denominator when changing from ÷ to ×, or × to ÷}
= -3/4 - [2/3 × (-5/4)]
{numerator × numerator, and denominator × denominator}
= -3/4 - [-10/12]
= -3/4 + 10/12
= -9/12 + 10/12
= 1/12

5.
-2 2/5 + (-2 4/5) × 4/7
= -2 2/5 - (2 4/5 × 4/7)
= -12/5 - (14/5 × 4/7)
= -12/5 - (56/35)
{Simplify fraction to make denominators same}
= -12/5 - (8/5)
= -20/5
= -4/1
= -4

6.
-(-3/5) - 1 3/7 ÷ (-5/14)
{Negative signs cancelled out, fractions compounded}
= 3/5 - 10/7 ÷ (-5/14)
{Switch numerator and denominator when switch from ÷ to ×}
= 3/5 - [10/7 × (-14/5)]
= 3/5 - [-140/35]
= 3/5 + 20/5
= 23/5
{Simplify fraction}
= 4 3/5

Hope this helps! :) You may ask me for more help if you need
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Step-by-step explanation:

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What is the equation of the line that passes through points (2, −6) and (−4, 3)?
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Answer:

y = -3/2x - 3

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Step 1: Find slope <em>m</em>

<em />m=\frac{3-(-6)}{-4-2}<em />

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<em />m=\frac{-3}{2}<em />

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Step 2: Find y-intercept <em>b</em>

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Step 3: Rewrite linear equation

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your brother 1/4 yor age.your sister is 8 years older than your brother.your sister is 12 years old.write and solve tan equation
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Let <em>A</em> be your age, <em>B</em> be the age of your brother and <em>S</em> be the age of your sister.

Since your brother is 1/4 your age, then:

B=\frac{1}{4}A

Since your sister is 8 years older than your brother, then:

S=B+8

Since your sister is 12 years old, then:

S=12

Use the second equation to find your brother's age by plugging in <em>S=12</em>:

\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}

Plug in <em>B=4</em> in the first equation to find your age:

\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}

Therefore, you are 16 years old.

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