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den301095 [7]
2 years ago
7

Which answer best translates the equation 1/5x + 5=32

Mathematics
1 answer:
Airida [17]2 years ago
7 0

Answer:

Step-by-step explanation:

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Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)
Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are 4 \frac{1}{3} and -2\frac{1}{5}.

The y's are 3\frac{1}{6} and 3\frac{2}{3}.

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}

Write as improper fractions:

\frac{\frac{13}{3}+\frac{-11}{5}}{2}

Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

Simplify:

\frac{32}{30}

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

1\frac{2}{30}

Reduce by dividing top and bottom by 2:

1\frac{1}{15}

Now for y:

\frac{3\frac{1}{6}+3\frac{2}{3}}{2}

Write the mix fractions as improper fractions:

\frac{\frac{19}{6}+\frac{11}{3}}{2}

Dividing by 2 is the same as multiplying by 1/2:

\frac{19}{12}+\frac{11}{6}

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

\frac{19}{12}+\frac{22}{12}

Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

3\frac{5}{12}

So the midpoint is:

(1\frac{1}{15},3\frac{5}{12}).

6 0
3 years ago
Read 2 more answers
Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y
xenn [34]

Answer: y=5x-8

Step-by-step explanation: slope intercept form is y=mx+b. M stands for the slope and B stands for the y-intercept. You just need to input what the question is telling you.

8 0
3 years ago
PLS help!!
prohojiy [21]

Answer:

is the root of 5 not equal why

8 0
3 years ago
Will give brainliest! Pls help!
olga2289 [7]

A straight line equals 180 degrees, so the 3 angles in the picture need to equal 180.

X + 90 + 25 = 180

x +115 = 180

Subtract 115 from both sides:

x = 65

6 0
3 years ago
Read 2 more answers
The area of a square poster is 28 square inches. find the length of one side of the poster to the nearest tenth of an inch.
Romashka [77]
The answer is:  " 5.3 in. " .
_________________________________________________
Note:
_________________________________________________
√(28 in²) =  (√28) in  = 5.2915026221291812  in  =  5.3 in.
_________________________________________________
5 0
3 years ago
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