Kevin painted 
of the wall.
Solution:
Fraction of the wall painted by Elena = 
Fraction of the wall painted by Matthew = 
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew
To make the denominator same, multiply the numerator and denominator of the first term by 9.
Rest of the wall =
Hence the kevin painted of the wall.
1 ft = 12 inches
so 2 ft = (2 * 12) = 24 inches
and 1/4 ft = 1/4 * 12 = 12/4 = 3 inches
for a total of 27 inches
Let
x----> the length side of the hypotenuse
y----> the length side of the <span>unknown leg
we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x</span>²=y²+3²-----> equation 2
substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft
the answer is
<span>the lengths of the three sides are
</span>hypotenuse=2√3 ft
one leg=√3 ft
other leg=3 ft
We can find the answer by solving the two equations simultaneously.
equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x
equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5
<span>But x >= 0 (the question says it's a height </span>above<span> the water), so x = 5</span>
Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5
<span>So the answer is C</span>
Answer:
5/12
Step-by-step explanation:
We know that Santos flipped the coin a total of 300 times. Out of the 300 times, he flipped 125 heads. We need to find a simplified ratio equivalent to:
125/300
First, a common factor is 5, so we can divide both sides by 5 to get:
25/60
We can divide it by more to simplify it down, so we can try another 5 to get:
5/12
5/12 would be the simpliest form
So 125/300 is equal to 5/12
Other forms: 5:12, 0.42, %42
