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Mrac [35]
3 years ago
9

Find the distance between points M (6,16) and Z (-1,14) to the nearest tenth, please help step by step

Mathematics
1 answer:
insens350 [35]3 years ago
3 0
The distance between 2 points P(a, b) and Q(c,d) is given by the formula:

\displaystyle{d= \sqrt{(b-d)^2+(a-c)^2}, 


Apply the formula for the points M(6, 16) and Z(-1, 14):

\displaystyle{d= \sqrt{(16-14)^2+(6-(-1))^2}= \sqrt{2^2+7^2}= \sqrt{4+49}= \sqrt{53}\approx 7.28

which rounded to the nearest tenth is 7.3 (units)

Answer: 7.3 units
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Answer:

24 students got off at the middle school.

Step-by-step explanation:

15 students

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12 students

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6 students

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24 students (remaining students).

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Compute the permutations and combinations. How many different arrangements can be made from the letters of the word "MISSISSIPPI
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The answer is the last one

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Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr
PSYCHO15rus [73]

Answer:

x=\frac{9}{8}\ yards

x=1.125\ yards

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

x+x+x+x+x+x+x+x=8x

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8x=9\ yards

Now we solve the equation for x

8x=9\ yards

Divide both sides of equality by 8

\frac{8}{8}x=\frac{9}{8}\ yards

x=\frac{9}{8}\ yards

So the length of each piece is \frac{9}{8} of a yard.

This is: 1.125 yards

6 0
3 years ago
a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
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There are no possible answers to this. 
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