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2 years ago

Rebecca had 9/10 of a yard of ribbon. Then she gave 7/20 of a yard to a friend. How much does she have left? Explain your work

Mathematics

2 answers:

stiv31 [10]2 years ago

5 0

Answer: $\dfrac{11}{20}$ yards

Step-by-step explanation:

By considering the given information , we have

The total initial length of ribbon = $\dfrac{9}{10}$ yards

The length of ribbon she gave to her friend = $\dfrac{7}{20}$ yards

The length of ribbon she has left = Initial length - Length she gave

$=\dfrac{9}{10}-\dfrac{7}{20}$

$=\dfrac{9\times2}{10\times2}-\dfrac{7}{20}$ [Multiply 2 on numerator and denominator to the first fraction to make both fractions like.]

$=\dfrac{18}{20}-\dfrac{7}{20}$

$=\dfrac{18-7}{20}=\dfrac{11}{20}$

hence, the length of ribbon she has left = $\dfrac{11}{20}$ yards

elena-14-01-66 [18.8K]2 years ago

4 0

rewrite fraction s to have common denominator:

9/10 = 18/20

now subtract:

18/20 - 7/20 = 11/20 left

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Veseljchak [2.6K]

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6 0

2 years ago

The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi

mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

$m_1=-\frac{1}{m_2}$

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

$m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}$

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

$y-y_1=m_1(x-x_1)$

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y: