Answer:
500
105
Step-by-step explanation:
This question would be solved using a simultaneous equation
let
a = number of adults who bought the ticket
b = number of students who bought the ticket
c = number of senior citizens who bought the ticket
a + b + c = 670 eqn 1
10a + 4b + 3c = 5615 -- eqn 2
If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2
a + b + 65 = 670
a + b = 670 - 65
a + b = 605 eqn 3
10a + 4b + 3(65) = 5615
10a +4b = 5420 eqn 4
multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5
10a + 10b = 6050 eqn 5
-
10a + 4b = 5420 eqn 4
= 6b = 630
b = 105
Students who bought the ticket are 105
Substitute for b in eqn 3
a + 105 = 605
a = 500
Adults who bought the ticket are 500
Answer:
The degree of overlap between the two distributions is moderate.
Step-by-step explanation:
Answer:
44 ounces
Step-by-step explanation:
Begin by setting up your equation in the following format:
(Percent)(Amount) + (Percent)(Amount) = (Percent)(Amount + Amount)
In this case, your equation should look like this:
(0.15)(x) + (0.20)(11) = (0.16)(x + 11)
where x stands for the number of ounces of the 15% alcohol solution needed.
Next, we can begin simplifying to solve for x. Your work should look similar to this:
(0.15)(x) + (0.20)(11) = (0.16)(x + 11)
0.15x + 2.2 = (0.16)(x + 11)
~ Multiply both sides by 100 to eliminate all of the decimals ~
15x + 220 = 16(x + 11)
15x + 220 = 16x + 176
15x = 16x - 44
-x = -44
x = 44
This means that 44 ounces of 15% solution must be mixed with 20% solution to make 16% solution
~Hope this Helps!~
Answer:
g = e-f/16
Step-by-step explanation:
e-f/g=16
e - f = 16g .....move g on the right side
g = e-f/16 .......move 16 to the left side. hence g is made the subject.
3/4 * 3 = 9/4 so the answer is 9/4 :))
i hope this is helpful
have a nice day
