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STALIN [3.7K]
3 years ago
10

Yadier killed 3 4/5 miles from the Nature Center to the waterfall. Then he hiked another 2 2/3 miles to Overlook Point. How far

did Yadier hike from the Nature Center ? Give an estimate and the exact answer.

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer: estimate 7

exact: 6 7/15

Step-by-step explanation: for the estimate round 3 4/5 to 4 and 2 2/3 to 3 and 4 + 3 = 7

for the exact number convert 3 4/5 to 3 12/15

and convert 2 2/3 to 2 10 /15

then add 3 + 2 = 5

and 12/15 + 10/15 = 22/15

convert 22/15 to a mixed number which is 1 7/15

then 5 + 1 7/15

answer 6 7/15

hope this helps mark me brainliest if it helped

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a_sh-v [17]

Answer:

Step-by-step explanation:

ITS THE  THRID ONE!

5 0
3 years ago
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What is the value of \dfrac{x^2}{y^4}
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Answer:

4

Step-by-step explanation:

x^2/ y^4

Let x=8 and y=2

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2 years ago
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Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
Hugh made a recipe that yields 8 1/2 cups. If each serving is 1/4 cup, which expression will help Hugh determine the number of s
Usimov [2.4K]
I’m not 100% percent sure on this but I think you would divide!
3 0
3 years ago
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Does anyone know the answer to this!?
PolarNik [594]

Answer:

|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

Step-by-step explanation:

You can use these Cramer's formulas to solve for x and y:

x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},

where

|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

So,

|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

4 0
3 years ago
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