Answer:
Step-by-step explanation:
The attached photo contains the Venn diagram with the circles representing the set of Spa's, fitness clubs and children clubs
The total number of resorts was 110
a) the number of the resorts that had only Spa is
33 - (2 + 8 + 9) = 14
b)the number of the resorts that had exactly one of these features is
Exactly Spa is 33 - (2 + 8 + 9) = 14
Exactly fitness center is 67 - (15 + 8 + 9) = 35
Exactly a children’s club is 45 - (2 + 8 + 15) = 20
14 + 35 + 20 = 69
c) the number of the resorts had at least one of these features would be
(14 + 35 + 20 + 2 + 15 + 9 + 8) = 103
d) the number of the resorts had exactly 2 of these features would be
2 + 15 + 9 = 26
e) the number of the resorts that none of these features would be
110 - 103 = 7
The population because it’s what’s changing
U didn't mess up....
V = pi * r^2 * h....divide both sides by (pi)r^2
V / (pi)r^2 = h
Answer:
*In Explanation
Step-by-step explanation:
<u>1) Start by just substituting the value of x (given in equation 1) into the second equation:</u>
y = 3x - 1
y = 3(2) - 1
y = 6-1 = 5
<u>2) Since both equations have x on one side, make both equations equal to one another:</u>
2y + 4 = 9 - 3y
<u>Solve for y:</u>
5y = 5
y = 1
<u>Plug y = 1 into either one of the given equations and solve for x:</u>
I'll use first equation:
x = 2y + 4
x = 2(1) + 4
x = 6
<u>3) When substituting X into the second equation, remember to use parenthesis:</u>
The student was substituting x from equation 1 into equation 2, but they forgot to multiply ALL of 2y + 3 by 2.
x = 2y + 3
Substitute into 2nd eqn:
y = 2(2y + 3) - 9
Answer:
Step-by-step explanation:
angle CDA = angle ABC (opposite angles of a parallelogram are equal)
56 degree = angle ABC
therefore angle ABC is 56 degree.
