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Mariulka [41]
3 years ago
9

Mary was both 13th highest and 13th lowest in a spelling contest. how many people were in the contest?

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
This is the concept of median of statistical data, given that Mary was the 13th highest and the 13th lowest in the spelling contest it implies that the number of people was distributed as follows;
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
This implies that since the median of 25 is 13, then the total number of people in the contest was 25
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On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles du
Wewaii [24]

Answer:

45 mph

Step-by-step explanation:

6 0
3 years ago
What is the solution to the following system of equations 4x + 2 = -2y 6y - 18 = 6x
Pavel [41]

Answer:

The solution to the system of equations are;

x = -4/3

y = 5/3

Step-by-step explanation:

To find the Solution, we would carry the Operation simultaneously.

4x + 2 = -2y .........(i)

6y - 18 = 6x ..........(ii)

First let's rearrange the equations, to make the journey smoother

2y + 4x = -2 ...........(iii)

6y - 6x = 18 ...........(iv)

Let's Multiply equation (III) by 3 so as to have a uniform spot to begin elimination.

3.2y + 3.4x = -2 . 3

6y + 12x = -6............... (v)

Let's subtract equation (v) from equation (iv)

= 0y - 18x = 24

-18x = 24

x = - 24 / 18

x = -4/3

Let's substitute (x = -4/3) in equation (ii), so that we can solve for the value of y:

6y - 18 = 6x

6y - 18 = 6 (-4/3)

6y - 18 = -8

6y = -8 + 18

6y = 10.

y = 10 / 6

y = 5/3

The solution to the system of equations are;

x = -4/3

y = 5/3

8 0
3 years ago
Dr. Blumen invested $5,000 part of it was invested in bonds at a rate of 6% in the rest was invested in a money market at the ra
abruzzese [7]
So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.

ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.

now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000

and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50

thus    \bf \begin{cases}
a+b=5000\implies \boxed{b}=5000-a\\
0.06a+0.075b=337.50\\
----------\\
0.06a+0.075\left( \boxed{5000-a} \right)=337.50
\end{cases}

solve for "a", to see how much was invested at 6%.

what about "b"?  well, b = 5000 - a.
6 0
3 years ago
Read 2 more answers
Please help me out. What are these ??
Nata [24]
Invert at one point
6 0
3 years ago
Please help, refer to the picture for information.
aleksklad [387]

Answer:

b

Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 1)

d = \sqrt{(4+1)^2+(1-4)^2}

  = \sqrt{5^2+(-3)^2}

  = \sqrt{25+9} = \sqrt{34} → b

5 0
3 years ago
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