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KATRIN_1 [288]
3 years ago
7

Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to

cookies
Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

\frac{2}{27}

Step-by-step explanation:

We have given  that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake \frac{54}{4}=\frac{27}{2} by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be \frac{27}{2}

\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}


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tigry1 [53]

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

\triangle DE F and \triangle ABC

Required

The scale factor from \triangle DE F to \triangle ABC

Take a corresponding side in both triangles.

We have:

DE= 20     AB = 10

The scale factor from \triangle DE F to \triangle ABC is:

k =\frac{AB}{DE}

k =\frac{10}{20}

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3 years ago
∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?
olasank [31]

Answer:

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Step-by-step explanation:

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3 years ago
Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y&lt;35x−1.5 y&gt;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

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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

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Step-by-step explanation:

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That's an interesting fact but what is your question that's what I'm curious about?
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