2.7 gallons.
Since the tank is already 4/5 full, only 1/5 is needed to fill it completely. As 13.5 gallons represent 5/5 (the full tank), you can take 13.5 divided by 5 to find 1/5.
Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
Answer:
Answer:
53/12+28/3=13/34
Solution with Steps
53/12+28/3=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(53/12, 28/3) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(53/12×1/1)+(28/3×4/4)=?
Complete the multiplication and the equation becomes
53/12+112/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
53+112/12=165/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 165 and 12 using
GCF(165,12) = 3
165÷3/12÷3=55/4
The fraction
55/4
is the same as
55÷4
Convert to a mixed number using
long division for 55 ÷ 4 = 13R3, so
55/4=13 3/4
Therefore:
53/12+28/3=13/34
Solution by Formulas
Apply the fractions formula for addition, to
53/12+28/3
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(495,36) = 9
49/5÷93/6÷9=554
Convert to a mixed number using
long division for 55 ÷ 4 = 13 R3, so
554=1334
Therefore:
53/12+28/3=13 3/4
So I Believe 13 3/4 or 55/4
I hope this isn't wrong.
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
