1/3 is the ratio of cups of water to cups of flour as a fraction (simplified)
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
Answer:


Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be
and cost of y children's ticket will be
. We can form the second equation by setting the total cost of tickets as:

Therefore, the required system of equations that could be used to find x and y will be:


Answer:
14
Step-by-step explanation:
Answer:

Step-by-step explanation:
y = 3 fruit trees
x = 7 nut trees
Constant of proportionality = k
k = y/x
k = 3/7
f = 3/7n