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Wittaler [7]
3 years ago
11

Which expression is equivalent to am ÷ an?

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

\frac{m}{n}

Step-by-step explanation:

Setting it up as a fraction will help us see the simplification process a bit easier.

\frac{am}{an}

a/a = 1, so they cancel each other out, leaving us with simply

\frac{m}{n}

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Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5
Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

\boxed{ \mathsf{ \red{y - y_{1} =  \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})  }}}

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

\mathsf{\implies y - ( - 1.5) =  \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

\mathsf{\implies (y  +  1.5) =  \frac{0  +  1.5}{2.5  } (x  )}

\mathsf{\implies y  +  1.5 =  \frac{ 1.5}{2.5  } x  }

\mathsf{\implies y  +  1.5 =  \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x  }

\mathsf{\implies y  +  1.5 =  \frac{ 3}{5 } x  }

multiplying both sides by 5

\mathsf{5y + 7.5 = 3x}

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

so

replacing x and y with 0

\mathsf{\implies5(0) + 7.5 = 3(0)}

\mathsf{\implies0 + 7.5 = 0}

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

\mathsf{\implies7.5 > 0}

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

\mathsf{5y + 7.5 > 3x}

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

<h3>y > 0.6x - 1.5 </h3>

that is the last option

5 0
3 years ago
What is 6.55 rounded to the nearest tenth
Yanka [14]
6.6 is the answer to that
8 0
3 years ago
Read 2 more answers
Sally graphs a system of inequalities as shown below:
sdas [7]

Step-by-step explanation:

first inequality :

x + 2y ≥ 10

second inequality :

x - y ≤ -2

6 0
3 years ago
The monthly budget for the front of the house is $9,000. You spent 6% of the budget on fresh flowers. How much did you spend on
adelina 88 [10]

Answer:

$540

Step-by-step explanation:

Since we are paying 6% of the money on flowers we need to multiply our budget by .06. Let x equal the amount of money we payed for flowers.

x=9000*.06

Multiple the two numbers

x=540

We payed $540 for the flowers

8 0
3 years ago
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Name a pair of adjacent angles.
Aleonysh [2.5K]

Answer:

Angle ACB And Angle ECD

Step-by-step explanation:

3 0
3 years ago
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