Answer:
432 people on Friday and 658 on Saturday
Step-by-step explanation:
Lets use variables for each day
x=Friday and y=Saturday
now write two equations since you were given two different information (money and people)
$6 on Friday and $8 on Saturday with a total amount of $7856
the equation will be 6x+8y=7856
now the second equation will be for people
x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be
x+y=1090
put them together
6x+8y=7856
x+y=1090
now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6
6x+8y=7856
-6(x+y=1090)
6x+8y=7856 now subtract downwards, with the x cancelling
-6x-6y=-6540
2y=1316 simplify
(2y/2)=(1316/2)
y=658
insert y into x+y=1090
x+(658)=1090
-658 -658
x=432
Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
<u>Part A</u>
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
<u>Part B</u>
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
Answer:
4.50 s
Step-by-step explanation:
The motion of the ball is represented by the following equation:
(1)
where
h(t) is the elevation at time t
2 ft is the initial elevation at t = 0
+70 ft/s is the initial vertical velocity
is the acceleration due to gravity
The green is located at an elevation of -7 feet, so the ball lands on the green when
h(t) = -7
Substituting into (1)

And re-arranging we get

This is a second-order equation in the form

which has solutions
(2)
Here we have:
a = 16
b = -70
c = -9
Substituting into (2) we find the solutions:

The two solutions are:
t = 4.50 s
t = -0.125 s
The second solution is negative, and since negative time has no physical meaning, the only correct solution is
t = 4.50 s