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tankabanditka [31]
4 years ago
12

For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Close

st to 0 Closest to one half Closest to 1
Mathematics
1 answer:
sesenic [268]4 years ago
8 0

Answer:

Convert each fraction to its percentage form:

= 36 / 40

= 90%

= 1/3

= 33.3%

= 70/100

= 70%

= 1 / 8

= 12.5%

Looking at the percentages:

= 36 / 40 is closest to 1.

= 1/3 <u>and</u> 70/100 are closest to one half which is 50%

= 1/8 is closest to 0.

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juin [17]

Answer:

\displaystyle \large{y =  \frac{1}{4} x + 1}

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

<em>"</em><em>A</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>s</em><em>e</em><em>c</em><em>t</em><em>s</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>(</em><em>-</em><em>8</em><em>,</em><em>-</em><em>1</em><em>)</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>h</em><em>a</em><em>s</em><em> </em><em>a</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>1</em><em>/</em><em>4</em><em>.</em><em> </em><em>W</em><em>h</em><em>a</em><em>t</em><em> </em><em>i</em><em>s</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em>-</em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>?</em><em>"</em>

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

<em>"</em><em>A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?</em><em>"</em>

First, let's understand that <em><u>slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept</u></em>

After reading the context, what do we know?

  • a slope of 1/4
  • a line passes through (-8,-1)
  • write in slope-intercept form

We finally have the information — our first step is to write our slope-intercept equation.

\displaystyle \large{y = mx + b}

We know that m is slope which is 1/4 — substitute in the equation.

\displaystyle \large{y =  \frac{1}{4} x + b}

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

\displaystyle \large{ - 1=  \frac{1}{4} ( - 8)+ b}

After using all information, it seems that we are solving for b-term or y-intercept.

\displaystyle \large{ - 1=  \frac{1}{1} ( - 2)+ b}

From above — cross-division.

\displaystyle \large{ - 1=  1( - 2)+ b} \\  \displaystyle \large{ - 1=   - 2+ b}

Add both sides by 2 to isolate b-term.

\displaystyle \large{ - 1 + 2=   - 2 + 2+ b} \\ \displaystyle \large{ 1=    b}

Therefore, the value of b is 1. From the equation:

\displaystyle \large{y =  \frac{1}{4} x + b}

Substitute b = 1 in the equation.

\displaystyle \large{y =  \frac{1}{4} x + 1}

And we're done!

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

14+15+16=45

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