Let
x-----------> the number of kids
y----------> the number of adults
we know that
2.5x+6y=$7150---------> equation 1
x=2y-------------> equation 2
substitute 2 in 1
2.5*[2y]+6y=7150-----> 5y+6y=7150----> 11y=7150-----> y=650
x=2y----> x=2*650----> 1300
the answer is
the number of kids is 1300
Angle p equals 90 degrees so angle a equals 180-90-41=49
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
brainly.com/question/12559989
Answer: Lucy ate more pizzas because he ate more inches of pizza than Anthony.
Step-by-step explanation:
Anthony eats 2 slices of a large 18 inch pizza. Total number of slice in the 18 inch pizza is 8
The size of one slice in inches would be total length of pizza / number of slices. It becomes
18 / 8 = 2.25 inches
Anthony ate 2 ×2.25 = 4.5 inches of pizza.
Lucy eats 4 slices of a 12 inch pizza.
Total number of slice in the 12inch pizza is 8
The size of one slice in inches would be total length of pizza / number of slices. It becomes
12 / 8 = 1.5 inches
Lucy ate 4 × 1.5 = 6 inches of pizza.
Lucy ate more pizzas because he ate more inches of pizza than Anthony.
